PBL in the Maths Classroom by Teacher Academy

Applying Maths skills to a real-world problem

antonucci_ales — 2016-10-24 08:50:33 UTC

Using math proportion to measure the three high is a way to learn and understand a math notion with a real experience

2016-10-24 09:22:48 UTC

Using math proportion to measure the three high is a way to learn and understand a math notion with a real experience

Sara

stracq_sara — 2016-10-24 09:26:33 UTC

It's possible to apply mathematics to gambling to propose probabilistic analysis. In this way students have to use a certain set of Maths skills.

Tittolina, Italy

2016-10-24 09:28:40 UTC

I teach in a Primary School and in these days as teachers we are planning the final school trip: I'm trying to involve pupils in this. Planning, comparing, estimation, time, money are all topics I have to cover in this school year curriculum, so I find this is a good chance for them to practice having a real goal. At the end of our work we should have to decide destination and motivate our choice to others classes and relatives.

Maria Carbone , Italy

susy_arte — 2016-10-24 10:10:14 UTC

I teach in a Primary school, last year I teach in a 5th class. I used a real work with my students.
My project about the use of Maths in the real world : asking students to organize a trip through three Italy's regions. They have to calculate the costs of the trip from Rome to Aosta. from Aosta to Milan, from Milan to Verona and from Verona to Rome. They have to calcilate the costs of hoterls, restaurants, tichets for museum, castles, for tour guides, too.
Maths skills of these project:
-Money
-Read and understand the instruction
-Research on Internet
-Making calculations
-release a brochure
-Present the project
I think it would be a funny and engaging experience. This is a way showing my students how they are surrounded by Math every day. Pratical activities stimulates the students and bring them to reflection.
I think this is a good and useful way to approach Maths and improve students' skills.

Marianthi Arvanitidou- Greece

1canislupus22 — 2016-10-24 13:21:42 UTC

We use Modrian paintings to learn measuring and fractions.

Emanuela, Italy

manucasini — 2016-10-24 13:22:59 UTC

With my students (12 years old) we are studying the garden of our school. The school is located in the Appenino Tosco Emiliano National Park and we intend to create an appropriate garden. So using geometry (perimeter, aerea,...), math (proportion, camparing estimation, etc..) we are planning a new garden. In spring they will start to gardening....so, in few months, they can see the results of their work

Anita, Croatia

simac57 — 2016-10-24 13:26:45 UTC

Project based learning is very challenging but also very rewarding. It requires a lot of preparation from the teacher but the pupils really enjoy these types of lessons.
Team work, group work and mentoring are all vital.
Projects are my favourite type of work. From linking mathematics and art (mathematics IS art, how artists are inspired by mathematics), mathematics and geography (plan a trip to a city in Europe, use mathematics to calculate distances, fuel needed, percentages etc). Every subject can be linked to mathematics

Giovanni, Palermo,

2016-10-24 13:29:17 UTC

I taught maths in a primary school last year. One day i taught maths in the kitchen. In this way they had learnt the basics of measurement, but also conversion and improved their counting skills, since they had to you use the right amount of each ingredient. I also introduced some concepts like: the role of temperature, some kinds of chemical reactions and measurements and volume.

Lucia ,Italy

luciabert — 2016-10-24 13:35:52 UTC

proportion
For the first time my pupils (12 years old)are divided in five groups and every groups must make a cake for 10 peoples . the cooking recipes are for 4 people.

Marzia, Italy

marziaboccone — 2016-10-24 13:42:24 UTC

Well, this is a huge approach that last more than one lesson, I usually ask them something linked to a real task: if you are 19 and I want to form 4 group how many students in each group? Or, during a science demonstration about density: once we have measured the mass and the volume what we have to do with the two of them? Or also, during a module about food and calories, we apply all the formulas to calculate the amount of calories per day, we analyse if the amount of food is enough regarding the sports done, the age, the sex etc.Each real approach is for a lesson, at least two hours, and they usually work in group.

Francesca, Italy

2016-10-24 13:43:13 UTC

This is a hard question. I don't exactly know what to answer since I've never used project as a teaching method. I'm always afraid not to have enough time to cover everything, and still always trying to get everyone to the same point of knowing and knowing how. I read some other comments and of course I tried to use everyday life experience, but a project no, never.

Laura P.

pagnozzi_laura — 2016-10-24 13:43:25 UTC

learn with hands
I found a really interesting approach to geometry as that of the video. students learn from reality to be able to read the notions of geometry in addition to knowing how rappresentare.Inoltre practical activity stimulates the students and bring them to reflection.

Luca Grande, Pisa -Italy

2016-10-24 13:49:56 UTC

Proportions and percentages.
Wich is the cheaper supermarket between more commercial offers proposed in different ways? The first proposal indicates the discount percentage; the second porposal indicates the initial and final price; the third one shows a “three-for-two” sale. Students have to find the best deal and the cheapest one. Better with real offers on real commercial flyers.

Athina Paroussi , Greece - I travel to moon

2016-10-24 14:08:38 UTC

I work in a kindergarten school , so I think about a project for space . I will start with a simple question , how we can go to the moon . I wait the obvious with a rocket . So we will start our travel . Small teams of 5 pupils , work at paper , painting their travel .Earth moon , rockets .
After I will asking to make the same , with geometry shapes ,with flat shapes at first , they will use the triangles , circles , squares and rectangles I will insist to be carefull for the sizes of earth moon and rockets .
The next step will be to make the same in three dimensions , they will use ,sphere, cube, pyramid, cone, cylinder and parallelepiped .
At the final presentation the will have to explain how they made their 3D constructions and named the shapes that they used and why . So my pupils will gonna learn more for geometrys shape

I work in Secondary school and we often find pupils have none or very little knowledge about financial world, bank accounts etc. We often use the idea of getting a job and not living with parents as a project. In this way pupils need to do a lot of research individually and in groups about costs of accommodation, running a car, transport cost, how much income tax do they need to pay to the government from their salary. They are usually expected to present their findings in a

mcgonagles07s — 2016-10-24 14:13:17 UTC

Francesca, Carrara Italy

2016-10-24 14:16:47 UTC

I always try to connect every new math’s topic with real life (adapting recipes to the number of guests, deriving the height of a statue using the shadows, estimate the number of kilometers that can be done with a certain amount of gasoline,compare prices, ...), but I’ve never used PBL and I’m a little disoriented and scared about it in math (not so much in science). It’s strange but I have less problem to imagine a PBL at the primary school or at the high “technical or professional” school. It’s hard to me to imagine a real PBL in math at kind of high school we call “liceo” and at the middle school. For the first time this year  6th and 7th grade’s students have to solve a “real problem” using all subject (it’s what in Italy is called “compito di realtà”). The problem chosen by some colleges for everyone is “how would you improve a part/monument/flowerbed/… of the town?”. Perhaps I can try to develop it a PBL.But I don’t have many ideas if not to compare costs and choose the best offer

Maria maddalena Pallotta Italy

mariamaddalena_pallotta1 — 2016-10-24 14:28:50 UTC

I teach in a primary school. My pupils have 9 years old. I thought about doing a project from a question that I was asked some time ago. They were curious to know how much food is consumed daily in the school. I hope that is stimulating their interest to investigate, record, calculate measurements of weight, to arrive at the answer.

Chiara M. Italy

chiara_matrix — 2016-10-24 14:54:01 UTC

During the lessons i do every day examples of math and mostly of physics that are near the students'daily life. I never try to make problem to solve, the hours in a italian school are few so we can't do all this time for students.

2016-10-24 14:58:59 UTC

Ana Iancu, Pitesti, Romania and
I teach at a school arts.

Apply math skills to a real-world problem with percent and financial account is a way to learn and understand a math notion with a real experience.

Alessandro Fantello

phantomjet — 2016-10-24 15:02:21 UTC

working with students 13 years old and I try to connect physics topics and actual cases where you can use some math skills, like to go back to formulas. For example, the choice between two or more different telephone rates by analyzing a graph of call costs or obtain information observing graphs for the analysis of the motion of a car. Usually this type of activity is carried out by dividing the class into small working groups of 3/4 persons.

Pietra,Italy

pietra_sellaro1 — 2016-10-24 15:02:45 UTC

I teach in a primary school. My studente are eight . In my lesson I always do lots examples and my studente nove from a directory esperienze to develop maths skills.

Despoina Amarantidou, Greece

damarant — 2016-10-24 15:08:36 UTC

I teach at a Primary School and I think that numbers and maths are everywhere. I always realize that when I deal with units that have to do with shopping activities.

Silvia Sudiro, Italy

silvia_sudiro — 2016-10-24 15:10:06 UTC

my students have more difficult whit geometry than whit arithmetic or algebra, so i propose them many problems in real contexts, to get them closer to geometry

Nikoudis Nikolaos/Greece

nikos_2803 — 2016-10-24 15:12:06 UTC

Often.

Sónia, Portugal

sonia_barbosa — 2016-10-24 15:27:14 UTC

First, Thanks for sharing this fantastic project. The mathematical content could be trigonometry.
However also the essential skills for the twenty-first century can be worked with meaning.

Giustina

fornigiustinapnsd — 2016-10-24 15:38:33 UTC

Last year I realized with my students a project in which they had to find geometry in the world around them, for example in nature, in same cells or in same rocks.

Rossella B., Italy

battafaranorossella — 2016-10-24 15:40:05 UTC

In Italian school, Maths hours are very few to think to propose a pbl.

Lidia Romania

2016-10-24 15:40:39 UTC

My students are working harder at geometry than at algebra, as to understand, have to be taught to think through real-life examples by figures.

Lucia, Taranto, Italy

2016-10-24 15:41:41 UTC

In Italy, in the primary school, we only have 5 hours/week for maths.
I can only organize some small, quick trips to other school subjects. In the picture the two pupils are beginning to use the tools for geometry and with straight lines drawn frame a work made in art education (a copy of a work by Jackson Pollock).

Radu, Romania

raduprisacaru — 2016-10-24 15:54:24 UTC

I tried an PBL experiment with my students. Probably, it wasn't good enough prepared. I plan to try another. Soon!

Rok Lipnik, Slovenia

roklipni — 2016-10-24 15:55:22 UTC

A challenge for my students can/will be planning the timetable in order to fit all 32 classes into 29 classrooms and two gyms, and a library. It is a combinatorics problem for our 4th year students. They can see, that it is hard to do it, it takes planning and it is a big project.

Rosa/Italy

rosadilonardo — 2016-10-24 16:00:30 UTC

I always try to connect my students with math’s topic of real life , using the shadows, estimate the number of kilometers that can be done with a certain amount of the foods and their prices.  For me it’s hard  to imagine a real PBL in math at kind of high school. For the first time this year  6th and 7th grade’s students have to solve a “real problem” using all subject. The problem chosen by some colleges for everyone is “how would you improve a part/monument/flowerbed/… of the town?”. Perhaps I can try to develop it with PBL but I don’t have many ideas if not to compare costs and choose the best offer

Barbara, Italy

barbara_galavotti — 2016-10-24 16:10:08 UTC

In Italy we have a few time for introducing PBL. I would to try it in a future, and I decide to follow this course also for understand if there is a way to do PBL in my lessons.

Roberta F., Ital

roberta_fantini — 2016-10-24 16:12:24 UTC

Happy Pi Day

Pbl is a very challenging activity for teachers, and a very rewarding experience for students.
I think it can be more effective if shared by other teachers of class.

Teacher must establish a clear plan of action, prepare activities, organizing working groups, set clear objectives, preparing boards and tools, to predict the evolution of the situation, share rubric.

I believe that I will propose to my students to organize activities for p day involving all students of school: they will prepare flyers, will write some article, will make apple pie and biscuits, will build items for sale. They will making analysis of costs and benefits, estimate the quantity, make proportions and relationships.

Sure it's a good challenge.

Francesca, Rome, Italy

pacenca — 2016-10-24 16:16:12 UTC

I think that a good project could be related with their daily problems to solve.
For istance a new way to taking care of the financial resourses to manage when you go out for dinner or to watch a film at the cinema. Practically, one should learn how to project the right money managing through a specific equation or a optimazed polynoms.

Anne Marie Primary School Ireland

2016-10-24 16:17:10 UTC

Design a school garden. This would incorporate a lot of Measures, number work and of course problem solving.

Also rather than the teacher costing and planning school tours this could be handed over to the pupils.

Cristina PBL Today We count ..... on a pine cone

cri_cons — 2016-10-24 16:23:58 UTC

Today I brought some pinecones .... we count how many bracts (the part that contains pine nuts) are there and how they are arranged .....

Let's make a drawing of what we saw .....

What do you remember ? Think of the arguments that we have studied in class;)
Skills are:
Team work; understand the delivery; Orient themselves in space; create a graph; track between the knowledge possessed those really solve the problem

Rosa/Italy

rosadilonardo — 2016-10-24 16:24:58 UTC

An even simpler way how to bring the real world into your Maths classroom is by simply showing your students how they are surrounded by Maths every day. This is a nice way how to get students more curious and engage them and accordingly is a great way to start a lesson.

Andrea

andrea_citta — 2016-10-24 16:32:43 UTC

I think math does not need to be incorporated in reality. It IS reality. I always try to connect it to fantasy or real storytelling, and finally to give my students a project to do, so that they are obliged to "use" math.

Tatjana

tatjanapiccolin — 2016-10-24 16:37:13 UTC

Christmas cookies for charity

I would like to involve my pupils of the third primary class, in the realization of Christmas cookies, thet would be sold for charity.
It would be very interesting for tkhe kids, to realize the entire project.

They should:
- Find the recipe;
- Count the cost
- Weigh the ingredients
- Prepare cookies
- Calculate the price for the sale.

Math skills of this project:
- Measure;
- Money;
- Read and understand the instructions
- Making hypotheses
- Realize the product.

I think it would be a funny, but also engaging, experience. Let's try! :-)

In Denmark we have a documentary serie called the "Luxury-Trap", It is about people who spent way too much money and take quick loans. I tried to let the students choose one of the programs and after they had to make a presentation and give the people in the program advice about budget and loans.

ullalambek — 2016-10-24 16:46:53 UTC

Jelena, Lithuania

2016-10-24 16:47:44 UTC

I have participated in a MOOC

"Introducing Project-Based Learning in your Classroom" and the project was about "How statistical research can help you to guess who will win the municipal elections in Lithuania?". Students of 11-12 grade have learned how to perform a statistical research and made a research of the upcoming vote in elections to the parliament. (Have selected a statistical sample according to the criteria given by the teacher). Each group have created a presentation of their research.

Antonis, Greece Using Geometry to solve a real life situation...

2016-10-24 16:55:53 UTC

The students are asked to find the question to the following situation:
They must find the exact position adjacent to the national road for a supermarket to be built, so that the people of both cities A and B to be equally served...
For that they need the concept of locus and specifically the axis of a segment.The construction should be better made with a ruler and diabetes.

Maria D, Savona

damoramary7 — 2016-10-24 16:55:57 UTC

In my opinion, "Translate" math in real situation can appear difficult but is easier than how people can imagine. In everyday there's math.. today, for example, while my student with handicap was boring while she was doing some operations, i have said: "if you go in a shop to buy a make up palette of 36 euro and you have 58 euros in your wallet, how much money do you have after shopping?" With this simply question the attention of my student is becoming very high. For the other excercise she has said me abot a real situation... 45-17=... "i want buy a scarf for you".
I have sometimes used PBL: to do a pizza, creating some compensative instrument such the robot of operations or the hand to count, asking of a real problem (we have 12 colours and i take really 12 colours. We give them at 3 students. Wow many colours to everyone? )

Jana F, Slovakia

Jana — 2016-10-24 16:59:53 UTC

My pupils have 6-7 years. Together we see around schools and groups to collaborate on projects: Geometric shapes around us; Straight and curved lines - bird on the wire; Class future.

Ana from Romania,

2016-10-24 17:07:11 UTC

my students (16-17ani)
are the future teachers at primary level.
I teach arithmetic (one hour / week)
We try to discover in the classroom objects that you have to dress,
to recognize geometric figures

Gülhanım,Turkey

gul_ektem — 2016-10-24 17:13:09 UTC

I am teaching for 7 years old students. We just start numbers. Using our finger, sister brother, books etc

Maria Giuseppa Sallemi, Italy

2016-10-24 17:19:47 UTC

In Primary school we can give to kids the real-life math problem dividing the class in four groups they can solve different problems. For children of 7-8 years old they can make toys to use geometrical shapes or solve simple problem like how to organize a birthday. The teacher can use the PBL methodology. .For children of 9-10 years old the real-math problem could be how to organize a trip. The teacher help the students doing al lot of driving questions.Then at then end they can make a amazing lap book to review the topic

Sílvia, Portugal

zuzartesilvia — 2016-10-24 17:23:07 UTC

The project could start with the question:
Why the honeycombs of bees are hexagonal?

The pavimentation problem is very interesting topic

2016-10-24 17:35:15 UTC

drazena_potocki — 2016-10-24 17:38:49 UTC

Buying a car on credit. Examine the conditions offered by the bank, how much interest, benefits, ...

Magda Uleia , Romania

2016-10-24 17:43:14 UTC

I use math for a statistcal analyse about how much students like to whear glasses , watches, rings amd other... It is very intersting for him and unusualy...

Exemple

2016-10-24 18:42:01 UTC

Lukacs Tiberiu
https://bubbl.us/?s=7330058#MzY4OTcyMS83MzMwMDU4L2U4MzVhOTAyMWNlNDlmYzhhOTQyYjk3YzgyZjNmNjg0?X

Cecilia, Italy

ceciliag — 2016-10-24 18:51:13 UTC

Few hours ago I came across a beautiful article (sorry, it is written in italian language) about Talete and his "vision" of geometry in the real world. I think it's an intriguing strarting point. So, I would like to realize an activity connected to the mesuraments of high of trees, houses ... with my students (12 years old, grade 7)

Cristian,

2016-10-24 19:15:32 UTC

Verry interesting!

Simona, Romania

2016-10-24 19:16:10 UTC

today I practice Math in Technics

Boryana, Bulgaria

boby64k — 2016-10-24 19:21:30 UTC

Some examples
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Adriana

2016-10-24 19:22:15 UTC

DURING A COURSE OF FOOD EDUCATION HELD IN CLASS, MY STUDENTS HAVE CALCULATED THE CALORIES CONSUMED WITH A SIMPLE MATHEMATICS EQUATION

Stavroula L, Greece

pde4424 — 2016-10-24 19:27:05 UTC

Project idea: Create a greenhouse in the school yard. Decide what, where, how, how much. Students age range: 7-12 Outcome: greenhouse design, building maquette, kinds of plants, cost of building, design promotion

Ilaria, Torino

2016-10-24 19:43:11 UTC

What came in my mind riding what my collegues previosly wrote is "planning a school trip". I think this could be a project involving different subjects, not just math. I would work in groups of 3-4 people in a 8th grade class. Every group has to chose an italian town (we do not go abroad with such young students), find the accomodation and the activities (museums, natural parks, theatres, etc.) they would like to do. They would use the computer for this activity so their IT abilities will be challenged. They would have to respect a budget so they would have to make choice based on the cost of the accomodation, transportation and activities. They would have to study the itinerary using their geometry ability, they would have to find the best and less expensive (in terms of money and fatigue) to visit the town. Maybe the litarature teacher could use this work to make them study the geography of the region or the history of the town and its monuments.

Luisella, Italy

2016-10-24 20:01:46 UTC

It's very interesting, not so easy, but I'll try it.
This couse is a good stsrt for me

Zulmira, Portugal

2016-10-24 20:03:57 UTC

I think that, for example, to do a statistical study on students'interests can be a good PBL. Students must begin with the questions they want to put to all colleagues about hobbies, interests, sports, musics, ...Then they must apply the questionnaire to all colleagues and then put it into tables and graphs and draw conclusions.

Maria Ester, Italy

2016-10-24 20:12:37 UTC

Classic situation that can bring real life in maths, and maths in real life, is organization of expected and enjoyable events with pupils or students, for example plan a school party:
- number of guests;
- shopping for banquet (use money)
- cook food (weights, rates of cooking, oven temperature...)
- arrange the placement of tables
- calculate the number of crockery

- calculate the extent of the decorations.
We need perseverance and fancy.

Angelina Alberico, Italy

2016-10-24 20:42:30 UTC

Working in a primary school, pupils could solve real-life problems. Go out with their parents to go shopping, or go to a pizzeria with classmates, dividing the bill equally, try to arrange a guided tour of year end by calculating both the cost of travel, both entrances to the places to visit.

Daniela, Italy

2016-10-24 20:47:12 UTC

Two years ago, we have done a PBL in the school where I worked: the project involved Maths, Mechanics, Electronics and English. The work, designed for students of a professional Hydraulic Institute, involved the design of a heating system. Solving equations was essential for the calculation of the data needed to design this system.

Maria, Italy

mariteaprof — 2016-10-24 21:04:23 UTC

A my project about the use of Maths in the real world:

”asking students to organize a vacation at the end of the year”

They have first to inquire about class mates’s desires, about their available money, about distance of places and then they have to collect data for displaying in statistic graphs. So they can decide the destination of the trip, the travel time and the the travel itinerary.

Doroteia,Portugal

dpimparel — 2016-10-24 21:09:45 UTC

One of the projects that I developed with my students was linked to health and had to evaluate some parameters of the class students (heart rate, weight, height, body mass index). In addition to having to build the instruments for registration, they had to deal with, from a statistical point of view, the collected data, build charts that illustrate the information and disclose all the conclusions they had reached.
I have no doubt that learning were very meaningful to students.

Amalia, Spain

tercerciclojuanalcaide12 — 2016-10-24 21:12:37 UTC

- Organising a trip, they would have to tackle with money, currency conversion, arithmetic, proportionality.
- Polls. They would have to turn to statistics, percentage, graphics.

Nikos,Thessaloniki

manik1 — 2016-10-24 21:13:22 UTC

The use of prime numbers in cryptography. In our everyday life the use of passwords with credic cards or on pc's. How much we use the number theory

Elisa Ciontoli, Italy

2016-10-24 21:17:53 UTC

My project to use mathematics in real life.
"Organize a pizza with the whole class."
Choose a pizzeria, to arrange a menu, ask how many children participate, organize how to get to a pizzeria and eventually share the expenses equally.

Marco, Italy

2016-10-24 21:19:14 UTC

It's very interesting. It's very important for the special needs students

Paola, Italy

paola_biondi19 — 2016-10-24 21:36:03 UTC

These is not a my idea but I find it on Khan Academy where we can find a very interesting animation curriculum set: Pixar in the box. Students can see how Disney artists use everyday math concepts they learned in school to create movies. will discover some of the equations behind Pixar movies. They’ll learn:
· How large swarms of robots in “WALL-E” were designed using combinatorics

· How a field of grass was created in “Brave” using parabolic arcs

· How simple models are transformed into realistic characters using weighted averages

· How animators bring characters to life with the help of animation curves
· How sets are constructed using geometric transformations

· How all of Pixar’s images are painted using simultaneous equations

Ivana Ľuptáčiková, Slovakia

luptacikova_ivana — 2016-10-24 21:43:30 UTC

Do PBL as in the video is difficult and require time with some experiences. Last year I did a project in my math class - students created survey (they had to have at least 10 questions) and they investigated the answers and they evaluated their questions. Students worked in the group by 3 people and they had to compromise on topic. They developed comminication, collaboration skills a lot, time-managment and math skills too because results of question had to be presented in percentage and diagram. They could use ICT tools.

Brynjar, Iceland

2016-10-24 22:44:40 UTC

Here is a site (http://www.mat2smc-project.eu/) where one can find a variety of everyday problems where math is involved. I have personally tried a few of the projects on this site and find them very good. My students also liked them and even students who are not very "mathematically thinking" were working on those projects with good results. Of course students need some basic skills to be able to work on the projects but I think they can be used at the end of some working period in order to link the typical text book skills to every day life. d-�5MkQz

Gabriella DB, Italy

GaDiBi — 2016-10-24 23:48:24 UTC

See the math. As in a project of Nikki Graziano.

http://nikkigraziano.com/index.php/project/found-functions/

Ana Martinčević, Osijek

2016-10-25 04:35:05 UTC

Speaking of geometry can explore dreven building castles ... ... of which and how are built ..
In eighth grade work geometric bodies, and before that the Pythagorean theorem. In fact here we can apply their knowledge of geometry.

2016-10-25 04:38:39 UTC

Rosy, Italy

rositone73 — 2016-10-25 10:10:36 UTC

For Primary school , lego bricks to teach fractions and other basic MATHS concepts .
www .scscolastic.s colastic.com

Chiara - Italy

2016-10-25 10:26:43 UTC

I work in a Primary school. Last year I and my colleagues involved students in a projects on Food Education. One activity was a field trip to the local market to acquire some fruits and then they made fruit skewers to offer to their parents after a presentation of the year project. They have to plan how much they would spend, how many kilos of fruit they need, and so on. It was amazing for them and they learnt a lot of competences, not only in Maths.

Gabriella

gabriellaricci — 2016-10-25 10:31:58 UTC

An interesting projec is, for examples, the measurement of the Earth's cincumference with the Eratosthenes Experiment, that in volved geometry and
arithmetic (knowledges of circumference and proportions)

Zuzana, Czech republic

ZuzM — 2016-10-25 11:38:03 UTC

In my preschool class I use the real life needs and games everyday - but this are only small projects :)
I just have read your posts, and I like your ideas - Rosy-Italy, Brynjar-Iceland, Paola-Italy, Doroteia-Portugal, Maria-Italy, Tatjana. Thank you!

Emanuela Filippo, Italy

2016-10-25 12:59:54 UTC

In order to solve the project about the construction of a school in 2050, the students must solve, not only geometry problem, but also the problem relating with the structure of the ground,stability of the building, sustainability of the buiding.

Gian Luca Cossari, Italy

gianluca_cossari1 — 2016-10-25 13:21:19 UTC

And 'evident in the video as a math class can be transformed into an interdisciplinary project that allows students to apply their math skills in a meaningful way, allowing them to see where mathematics is used in the real world, highlights career where mathematics is used, and develops a range of essential skills such as collaboration, presentation, creativity, etc.
However takes time a teaching unit like that but once started retrieving the learning curve, therefore, it is optimal to have a class that you can follow over the years.

Ariana, Romania

ariana_vacaretu — 2016-10-25 14:06:04 UTC

I'm running math research workshops: working in small groups, the students look for mathematical solutions and do computer modelling for a problem/ research topic launched by researchers in the field of ‘hard’ sciences. The students’ activity is facilitated by myself and supported by a professional researcher. After the research activities proper are over, the students seek opportunities to share the results they have found – for instance, in scientific conferences for students, students’ congresses, etc. In addition, the students write research report articles in which they share the research topic, how they approached the solution to the problem and the results they found. For example, here is one of the topics: "In a tower with 10 floors (0, 1, 2, ... 10), you must develop a 4 lifts management algorithm that minimizes the residents’ latency.
Initially we can assume that people arrive randomly in the day to order a lift.
- It goes down or goes up one floor in 3 seconds.
- Each stop at a floor lasts 15 seconds."
In the video, it can be seen the students presentations in the Math Forum we have organized in our school (last school year)

Monica Boccoli, Italy

mobocco — 2016-10-25 14:24:55 UTC

Our robots have arrived this morning. The challenge for my pupils will be to project these special machines using Scratch. So my pupils will do cooding and computational thinking. They are 26 pupils and they will work in group.

Norma.Lisa

2016-10-25 14:44:44 UTC

Why not reverse?

Karolina, Croatia

karolina_brlekovic — 2016-10-25 15:32:51 UTC

This year I want to create quiz with several pupils about math in real world. Competitors will have real life situation for solving ( for example - measure 3 l with cans of 4 l and 7 l ). I hope I will realized this at the end of the year and present it in my school.
I would like to do that as a eTwinning project. If you interested contact me ( kbrlekovic@gmail.com )

Simona, Romania

simona_ratan — 2016-10-25 15:33:44 UTC

Students 8-9 years can learn about fractions trying to divide a cake in a given number of children.

This project can draw or manipulate a real pizza.

Regardless of the aim pursued by the age of 10 years children should use concrete side of mide.It can help layouts, things themselves.They made perform logical operations: analysis,
comparison.

Déborah Monin, France

debo_monin — 2016-10-25 15:46:19 UTC

I think statistics are a perfect theme. We can for example ask them to make a publicity of a new creme by using statistics.
Another point is to know the height of a high building by using their shadows.

Gabriella, Italy

user_1412192056 — 2016-10-25 16:26:25 UTC

Etwinning and maths
In this year project ""running challenge" we had to meausure the lenght of the laps of our running field, moltiplicate it by the number of laps done by each child and compare them given a level table (A, B, C D levels ... from ...m to ...m)
so we measured, calculated , compared , listed.... lots of maths to share with our foreign partners..

Luca, Italy

2016-10-25 16:27:48 UTC

It's very interesting and I think it's the right way to involve students, but it's not easy to carry out.

Rossella,Italy

rossy2305 — 2016-10-25 17:25:21 UTC

A math project involving application development of mathematics might be to put children in front of a real situation simulated:
                                               We shop.
Divided the class into three groups deliver to each group:
1) A list of products to buy and quantities for each;
2) Provide them many leaflets depicting various products with relative prices and quantities ;.
3) Provide a budget with money paper's ;
4) Give each group a shopping paint on a bristol
                                                           Delivery:
Cut out the shapes of the products to the shopping list written by various leaflets comparing between their prices and quantities for the same product.
change for each product of only list those chosen by flyers.
                                                               rules:
You can paste multiple images of selected product to equal the amount requested;
You can only use the budget to pay for groceries delivered;
                                               developed skills:
Comparison between amounts
Operation of the difference
the addition operation

Maria Grazia,

2016-10-25 18:02:05 UTC

Italy

when I see these videos I think the Italian school must improve the quality of the school system

Maria-Doina POPA, Romania

mariadoina — 2016-10-25 18:09:48 UTC

Learning projects (learning by discovery) customary pupils with modern learning methods.And also motivates students for further study.

Virginia, Itay

2016-10-25 18:18:11 UTC

How high is our school?

the responses are a result of unusual strategic approaches, sometimes linked to informal learning experiences (gaming, ...). I like it and each time I am surprised from their creativity!

Anastasia, Italy

anastasia_frate — 2016-10-25 18:48:56 UTC

I think that PBL is a very challenging experience for teachers, and a very involving activity for students. But in High Schools not all topics can be (and must be) performed with this methodology.

Students should do both activities they like both more theoretical activities that they dislike because they must be ready to face the work where they cannot do always what they want or they like. The first is the University that in Italy is very theoretical.

I think teachers should change activities in their lessons by including PBL but also more boring activities.

An interesting PBL activity is exploring the volume of solids using Cavalieri’ s Principle. Students can start using authentic materials, simple objects such as decks of cards, stacks of coins, reams of paper or even CDs!

Zeljka, Croatia

Zeljka — 2016-10-25 18:53:00 UTC

School garden - planning of all students´ activities and responsibilities, planning of space, time and costs, concern about maintaining, presentation, utility, marketing, analyzing...

Serkan, Turkey

pelenserkan — 2016-10-25 19:17:14 UTC

PBL is a strong way to empower students several skills. These can be mathematical skills like estimation, trial and error or Polya's problem solving steps. These skilles can also include social skills like team work, collaboration, making leadership or making a presentation in front of other people.

Paola from Italy

2016-10-25 19:17:21 UTC

In order to plan a PBL, you need your colleagues' collaboration, spirit of initiative, and persistance. In Italian schools this is not so easy.However in my school we are working with App Inventor and students seem motivated !

Alina L. from Romania

2016-10-25 19:36:35 UTC

They could measure the classroom, to compute how many liters of paint are needed to paint it, how many square meters of floor are needed to be bought, to find out how much they need to pay the constructors for the whole work and the final cost of everything. They would split in teams. Some are checking out the prices of materials, while other are looking out for the working crew and so on.

Kamilla/Poland

adllerchen — 2016-10-25 20:49:48 UTC

It's very interesting, but in polish school / system education - it's "mission imposible".

Maria from Greece

maria_katsa — 2016-10-25 20:59:09 UTC

Hello !! We could ask our student to design to school garden. They should measure the area and design the garden with geometrical shapes

Rolanda Rrapaj / Albania

2016-10-25 21:31:16 UTC

PBL I have used with my students, to realize the model of school. More entertaining for students was measured in the field. Then use the instance that made possible reduction in leaf outline. In the end, the result was excellent. "A small school - identical to that of truth"

Theodosis, Cyprus

2016-10-26 04:11:31 UTC

To build a model about ancient greek relegious beliefs...!

Alberto (Spain).

2016-10-26 08:47:47 UTC

Hello, when I'm giving the tales teorema such students took me the yardas.

Erika - Italy

erikasala — 2016-10-26 09:57:10 UTC

A PBL could relate to the following problem: “It's called 2017 xyx: it is the asteroid that in November 2017 will pass close to our planet. There may be consequences for the Earth?”To solve it, students must apply, not only their knowledge of physics related to universal gravitation, but also their maths skills  of analytic geometry that is to say ellipse.

Alberto ( Spain) Hello thales Theorem. With a notebook and calculator to take notes are held each student will measure your height and shadow and recorded in the notebook, then they measured the shadow of the school building and from these data calculate the height of the building. It will do the same with the heigh of basketball. They will do it with aborrowed tape by physical education teachers. this will work with students of 3º ESO ( 14-15 years)

2016-10-26 11:14:32 UTC

Gheorghita Grigore, Romania

grigore_geta — 2016-10-26 12:18:52 UTC

We developed the project "Little architects" with students 6-7 years. Children have been in the position to use geometric shapes and bodies, to make comparisons, estimates, measurements, weighing. Compared materials and drew, cut, cut out, combined in various ways forms. In this way, they noticed that mathematics is necessary in drawing, architecture, building. Their interest in mathematical knowledge and skills to become larger.

Isabelle - Brussels

2016-10-26 12:30:27 UTC

We developed the following project in our school for special education : the kids organized their restaurant for the headmaster an a few teachers. Therefor they had to create their menu, go shopping for the right ingredients for 10 people, weigh them, pay correctly,apply their mesureskills to cook with good proportions... They did a great job :)

Cinzia,Italy

2016-10-26 12:36:08 UTC

It's very interesting and It's very important for the special needs students

2016-10-26 13:22:43 UTC

2016-10-26 13:22:44 UTC

One of the project our students did was to organize a shop. They decided What to sell and at What price.

Fernando, Portugal

2016-10-26 14:27:32 UTC

One of the projects that I developed with my students was articulated with the discipline of physical education. They treat statistically their results in physical tests that perform, in addition to weight, height, heart rate, body mass. Graphics are produced where the evolution of the results is analysed at the end of each term.

Ornella / Italy

ICSantArsenio — 2016-10-26 14:57:52 UTC

In this time we are dealing with the divisions with a decimal number to the divider and, therefore, the multiplications for 10, 100 and 1000. Given that the pupils often find difficulties with the displacement of the point, I am preparing a laboratory where they have to materially build quantities 10, 100 and 1000 times bigger than that given. First I try with coins. I will give them the amount of € 1.27 (for example), and I will ask them to multiply by 10, 100 and 1000 and show their reasoning. It may be a drawing, a chart or other. I think I would submit it as PBL activity.

we made a shop and they try to sell things in the better price

2016-10-26 16:52:49 UTC

Christina, Cyprus

2016-10-26 17:48:42 UTC

I haven't tried PBL, but an example I could think of is trying to organise a party for the class and estimating costs, re-calculating the ingredients on a recipe, measuring the class dimensions and arranging where everything will be and writing invitations, recipes etc in the Language class, prepare decoration in Art class, bake something in the Health Education class and so forth.

Adele, Italy

adele_cammarata — 2016-10-26 18:02:28 UTC

Last year I had a 4th grade: one of the pupils once asked why tv news are always bad ones, so I seized the time :) and proposed them a survey on tv evening news.
They had to do research, watching different tv news and recording the kind of news and whether it was "good" or "bad" or "neutral" (and what is good/bad!) and we transformed all these data in graphs. We tried to understand them and draw conclusions. Then I invited the local RAI tv director to discuss the research and answering pupils' curiosities.
A very stimulating work!

Gunta, Latvia

2016-10-26 18:14:45 UTC

My students did project about sguare, perimeter.

Edi, Italy

2016-10-26 18:40:49 UTC

Maths comes in handy when travelling and shows up in various ways from estimating the amount of fuel you’ll need to planning out a trip based on miles per hour and distance travelled. Calculating fuel usage is crucial to long distance travel.

Reading a map requires orientation, and some basic maths fundamentals.

You can determine the best route depending on terrain, speed limit.

Mirka (Italy)

mirka_cavalet — 2016-10-26 19:11:08 UTC

Two years ago we decided to organize a trip to Turin. Pupils had to choose the activities, the places to visit, organize the time, the transports, calculates the cost of the single activity. They had to make decision about what they thought to be more interesting (each museums, visiting a journalistic writing, make interviews and so on. They had to organize the time e the transferts using maps, calculating the time they need. To sum up, they have to ipotize the cost of the trip, the food etc. At the end they made a brochure to show what the wanted to do. It was a great experience! Eiz< r��0

Maria, Italy

maria_sorvillo_rosaria — 2016-10-26 19:17:00 UTC

I think the Pbl offers students the opportunity to apply the knowledge gained in the realization of project, refers to a real situation. Therefore , I think the reasons for its application in teaching pupils, develops in them capacity to stimulating time attention and cooperation in a definitaly more addictive situation. An idea of Pbl for my pupils might be ''Organize a class party''.Interdisciplinary, the activities for math could include cost estimate, calculations for the purchase of things to eat, building festoneed with geometric shapes.

soap

monica_camuffo — 2016-10-26 19:40:33 UTC

In chemistry units I decided to propose the soap production. Students started to calculate proportions of reactants, used the percentace to define "strongness" of the soaps...moreover they decided to sell the soap, therefore we estimated earnings and we are planning how to invest them :-)

alessia, Italy

brunetta_alessia — 2016-10-26 19:54:15 UTC

Arabella, Italy

arabella_quadre — 2016-10-26 20:29:29 UTC

I teach in the primary school and I think that could be realistic realize two PBL in a year. The topic depends on the class. I've been working in a third class and I'd like to realize a PBL in which children have to realize a boardgame with fractions. In the second part of the year they could work with the money and realize shopping lists connected with science and healthy food.

Real - 1 m3

2016-10-26 20:59:12 UTC

Last year at the end of a school we decided to make a real cube (1 m3), and a pyramid.

From the wooden slats. From scratch to real product. It was very nice, and it's now for all the next generation (I hope now that everyone will really know how big is 1 m3). Damir, Croatia

Susana, Portugal

ssilva9 — 2016-10-26 21:59:43 UTC

One of the activities that I propose to my students after the study of quadratic functions is to choose an image and use Geogebra to identify a parabola and the form of the quadratic function that has that graphic. I always get surprised by the examples they find. This one is very nice:

Zdenka, Croatia

2016-10-27 04:45:25 UTC

I'm a teacher in a primary school. My students have nine years. Gladly participate in all projects. This year we design school garden.

Daniela R. Italy

DRubagotti — 2016-10-27 05:52:29 UTC

I like teaching maths with links with the real world and I think that all maths' topics can be involved. For example I use the "supermarket special offer" to teach percentages, or buiscuits to explain how linear system works (I modified a Desmos activity, here it is the link: https://goo.gl/8jpgAC)

I find difficult make a whole project, like that one that was expained by the video, because it envolves a lot of effort and also a lot the collaboration among different teachers but I think that it is a very challenging experience for the whole school.

Jose Luis C, Portugal

jlcsvarao — 2016-10-27 09:53:06 UTC

In this situation, the challenge for my students was to program the robot for every day of the week, delivering postal mail to the director of the School. They developed mathematical competences, computational competences and others.
This is a very simple project to start learning the code but they develop more complex projects and of longer duration.

Annastella, Italy

2016-10-27 10:12:19 UTC

Hi! I'm thinking about a challenge for student at the fifth years of a scientific high school. The problem is to save a company that risk bankrupt. Mathematic fields involved are analysis and statistics. Teacher could show linear and easy economic models and give students materials, consumptions, the history of the company. Students have to propose a plan with a necessary investment that a magnate could promote. At the end of the works this figure will judges the best plan, and will reward students' works.

Federica, Italy

2016-10-27 12:52:28 UTC

What about organizing their own field trip? They should be able to apply many Math skills: costs, time, distances,....

Carole, France

carole_palud — 2016-10-27 13:15:58 UTC

i'm going to start a project about lighthouse in Brittany, the students will have to build a model of a lighthouse and then they will have to present their work in english. They will have to work on geometry (net and volume). In this class, i teach maths in english, so they will also have to explain their works in english

Sabina, Italy

sabina_giolo — 2016-10-27 13:49:40 UTC

I teach maths in a first class of a primary school. It's difficult to find a work with this project, but I think to do a book. The skills could be the numbers of the pages, the shape of the page, the material , the measures.

Francesca Venza, Italy

studentimarconi — 2016-10-27 14:10:35 UTC

PBL is a very effective way to stimulate and enforce skills such as planning as well to be able to share ideas and strategies. It gives the students a big motivation to learn and apply the Math formulas, applying them to real life situations, and a sense of accomplishment when they realize a “product”. Several years ago, I assigned my fifth graders students, divided in groups, the project to display with pie-charts the percentages related to the different types of transportation used by all the pupils of the school. They had to do a survey, collect the data, calculate fractions and percentages, apply geometry. Each group displayed their work on a large poster board and also made a power point presentation.

Patrizia, Italy

p_sileoni — 2016-10-27 14:11:15 UTC

I think it would be very interesting both for me and my students, but I warry about it being so time taking !

Cristina, Italy

2016-10-27 14:39:26 UTC

It's very interesting. I'm a teacher in a primary school. My students have 6 years. Gladly partecipate in all projects. This year we design your classroom !!!

Lina, Italy

2016-10-27 14:42:16 UTC

IT’S VERY INTERESTING AND IT’S VERY IMPORTANT FOR THE SPECIAL NEEDS STUDENTS

Maria A., Greece

2016-10-27 14:46:02 UTC

For primary:

A little shop in the class.http://b2rainbowclass.blogspot.gr/2014/11/our-little-shop.html
for skills related to counting, money and decimals.

Ralia Thoma, Greece

rallouthoma — 2016-10-27 15:32:08 UTC

What about our school garden? Geometry, algebra will be valuable.

Giuseppe R., Italy

prof_rocco — 2016-10-27 16:09:38 UTC

I love to teach mathematics and often I involve students in small activities related to the real world.
I think that would be very nice to be able to develop these projects with my students, but there is no time to do it and, especially, often lack the laboratories or equipment.
This type of projects is conducive to learning for pupils with special needs.

Diletta, Italy

2016-10-27 16:15:37 UTC

I'd like it, but the projects are so time taking...we have only 4 hours of math in a week: nothing for a project! I think that here we are walking the right way, but we aren't completely ready.

Barbara Italy

dotriv — 2016-10-27 17:31:02 UTC

I think a shop activity would work for my little pupils (5 years old): they could draw money (1-10 Euros) and then use them to buy and sell objects.

Ivana Nenadic

nenadic_ivana007 — 2016-10-27 18:34:21 UTC

Students can do a survey about certain habits of people, and then use their knowledge of data analysis and interpretation.

Joanna, Malta

2016-10-27 18:50:14 UTC

It is very hard to come up with an idea that really motivates my students. I was thinking that if students were given the opportunity to refurbish a small area inside the school maybe repainting the walls, making new curtains and carpet, this means they have to measure using appropriate instruments. Then work out the costing and if they want to actually do
the project the students could think ways how to raise funds.

Florentina, Romania

2016-10-27 18:54:24 UTC

It is very interesting . I think it will be easier for my pupils to organise a shop in the class.

Francesca, Italy

francescagiala — 2016-10-27 19:10:51 UTC

On 21 March and on 22 September we measured the length of Earth Circumference following the Erathostenes method. We are in partnership with schools that are located at the same longitudine, we collaborated and shared our results.

The Eratosthenes ExperimentSeptember 2016, was organised on 22nd of September 2016 by Ellinogermaniki Agogi’s (EA) Research and Development Department as part of the Inspiring Science Education (ISE) project

http://eratosthenes.ea.gr/

Enrica Maragliano -Italy

EMGe — 2016-10-27 22:04:19 UTC

Every eTwinning project is an example of PBL. Have a look at this project we made last year

Dimitris, Greece

2016-10-27 22:18:06 UTC

A great PBL experience was our preparation and participation in the Eratosthenes experiment. In collaboration with other schools in the same longtitude, students had to measure the shadow at specific times. History, Geometry, Physics, Maths and excitement all combined !

Glorianne, Malta

user_1412458558 — 2016-10-28 07:39:46 UTC

There are a lot of interesting ideas. I think that with my students the best thing would be either shopping or a restaurant menu where they can choose the food and calculate their bills. They would then also include the change so as to use subtractions and maybe multiplication when it comes to repetition of the same price.

Marjut, Finland

marjut_sulkakoski — 2016-10-28 08:00:48 UTC

PBL is one of those methods you can bring together real world and mathematics. With every mean of learning you have to learn the method of teaching, too. It is good to have videos e.g. to see and get some inspiration.

I see PBL as an innovative teaching and learning method. Imagination gives the limits only. You can even integrate different subjects. One of most important things is to have a devoted colleague to co-operate!

Esther García-Ligero, Spain

garciaesther44 — 2016-10-28 10:51:18 UTC

It is a great method to intruduce student in real life and in an easy way to learn Maths.
Nowaday if you work in a company you have to do project and work with a group, so if you have done this in the school, it´s easy to do in your work.
Also, you can teach how this subject is used in real life.

Manuela Vieira, Portugal

mmanuelavieira — 2016-10-28 14:41:55 UTC

Teaching maths with a project is somthing amazing and challenger but difficult to implement, because I have teach the math program, using the text book, bought by parents. How can I manage this? the answer is : using a problem/question to intrude new subjects and explain why do we need to study this or that subjet.
I use to say that maths is on every day life.

Katerina Atmatzidou, Greece

user_1412487490 — 2016-10-28 15:30:03 UTC

I teach in a Mediterranean country, Greece. As you know the refugees is a common daily reality that countries have to face. Last year in an etwinning project we studied with our Italian partner the monthly information from UNHCR about the refugees' arrivals in our countries, compare the monthly numbers for Greece and Italy, studying statistic, charts, graphs, created videos, search for historical similar events for each country and make their final presentation. It was a real problem which challenge our students to solve and deal with timeliness. They have to use a certain set of Maths skills, as we mentioned above, and also made clear to students that we can use math to understand everything that happens around us, evaluate the information,take decisions and finally form our personal opinion about events as European citizens.
Watch my students' video
about refugees.

2016-10-28 17:53:15 UTC

In the end of a math course where we studied percentages we did this project with my students where they had to implement what they had learned during the course.

The students had to imagine their lives when they are 30 - what would be their profession, who would be their spouse, would they have children, where would they live etc.. They had to calculate the taxes, mortgage loan, incomes, outcomes and much more.

The students did really like the project. They said that is was fun to do something different in math class and they also liked the link to real life.

I still wonder if you could learn the topics only with this project.. Now we used 6 weeks to study percentages and one week to do the project.

Tiina (Finland)

2016-10-28 18:56:23 UTC

My students have done project about statistics. They have decide what they want to research (hobbies, families, vehicles). They might have questions like Are 7 years old students sleeping longer than 15 years old students? They use their math and ICT skills to find out answers. I don´t know if this is PBL, but at least it is close. I think PBL is perfect thing for students. They have to use many skills for different subjects. Challenge in the time and ideas. Do we have time in school to do these projects? Does teachers have nice ideas as for good project? ry7��+4

Daniela, Italy

invernizzifam — 2016-10-28 19:01:07 UTC

I often use activities connected to real world, such as building a little market for ourselves, or measuring our garden to divide it in smaller parts to distribuite, or planning our school trip..this year my pupils are only 6 years old, so I will start with something easy, such as calculate how many strawberry plants we have to buy for our vegetable garden and what we'll have to pay.

Adriana Valona, Albania

adriana_vl21 — 2016-10-28 19:10:20 UTC

An interesting project that is developed in my class was a project with the theme "History of my school." School has started its activity in 1966. Students were divided into groups, who worked for the extraction of data and the number of students over the years, interviews with former pupils of the school, characters salient once studied at school, overlooking the school over the years, statistics accomplishments school in years. With this data was compiled a leaflet and this pwas distributed to the pupils of the school and the community around the school.

Grazia Italia

orestescuola — 2016-10-28 19:13:32 UTC

Gardening

Even doing something as mundane as gardening requires a basic math skill. If you need to plant or sow new seeds or seedlings you need to make a row or count them out or even make holes. So even without thinking you are doing math. Measuring skills is always needed, and calculations of the essence when doing something new in the garden.

Stefania, Italy

stefaniaferrari — 2016-10-28 20:47:43 UTC

I think that many situations taken from real life can be transformed in an interesting math problem. For example, I asked to my 15-years- old student to compare their telephone rate by linear system.

Marcella

2016-10-28 22:22:05 UTC

Marcella, Italy

2016-10-28 22:22:05 UTC

The challenge for my students was the opening of a ceramic shop. They could choose between several work machines, several electric rates, etc and they had to find the best option.
The challenge for a teacher is finding a project based learning for each topic.

Chiara, Italy

prof_cfrancia — 2016-10-29 07:43:57 UTC

The challenge for my students (5th high school)

Monica, Italy

MonicaP — 2016-10-29 08:01:39 UTC

I think a good way to bring the real world into my Maths classroom is to speak about calories and gym.

Many restaurants are required to post nutritional information for their foods, including the number of calories. And so, why don't we use unit rates and proportional reasoning to determine how long the students'd have to exercise to burn off different menu items?

Annalisa, Italy

isaese77 — 2016-10-29 12:44:37 UTC

Project and realize school 's garden, with Mediterranean species.

Gina, Italy

2016-10-29 15:20:17 UTC

My students have had to create a game about fractions

angela de vito naples

2016-10-29 16:07:55 UTC

maths is present in everything we do or make in real life. I teach English and sometimes with my pupil I use math to convert english measure into Italian measuresand so the understand the difference between them

Eleni, Greece

2016-10-29 16:09:56 UTC

In PBL, students have the opportunity to connect math with other subjects (physics, economics, architecture etc) and with problems of the everyday life.

Some ideas that can be applied to teaching math this way are:

Photograph and paint 2 or 3-dimentional shapes that we encounter in nature or in human constructions. Students learn about symmetry, similarity and use the properties of Euklidian and solid geometry.
Measurement of a high building or tree can be done as an outdoor activity, using similarity and Thales theorem. Can be combined with history class as an opportunity to search information about Thales and the way he measured the hight of the pyramid of Cheops in 7th century b.C.
Measurement of the perimeter of earth as Eratosthenis did around 240 b.C. Students learn about the method that he used, they use the properties of circle, similarity, geographic properties of earth and then try to measure themselves the perimeter. This can be done in collaboration with the geography class.
Bee’s cells and geometry. Why do bees choose the hexagon shape to construct their cells? Using geometry properties of basic shapes, students learn to calculate areas and question themselves about nature and mathematics.

Mirjana Jovanovic, Serbia

mirjana_jovanovic_ns — 2016-10-29 16:23:15 UTC

This May, two of my fellow colleagues and I set up the project of building 3D fractal Menger Sponge. The idea was to engage as many students as possible in order to mark "May, month of mathematics". The fractal itself was built from business cards by origami technique (no cutting and no gluing) There were more than 400 students involved, contributing in various ways - collecting cards, folding cards, building the basic cubes, joining cubes into a fractal , exploring the properties of the fractal, measuring and calculating its volume and area etc. It was nice to see 9th, 11th and 12th grade students enjoying their time together. Since some students joined later, more experienced ones were teaching them the best techniques for building the Sponge. I also embedded the topic in our regular 11th grade curriculum - students should find the area and the volume when n goes to infinity, that is a limit of a geometric sequence and geometric series. Finally, students picked up all their research and presented their project at the end of May.

Marie-Anne, Romania

lyxmary — 2016-10-29 16:34:09 UTC

Very interesting. My students have to make a greenhouse, in which they put seeds from differents plants that are growing in different season.

Ivana (Italy)

i_durante — 2016-10-29 17:39:56 UTC

I introduce the square root by asking the students to measure the side of some square cardstocks, everyone of them marked with the measure of its surface. Then, I ask my students to try to get how the side measure’s is related with the surface’s measure .

Melissa Italy

melissa_esposito — 2016-10-29 20:08:07 UTC

cooking and math

Mariya, Bulgaria

christozovi — 2016-10-29 21:44:50 UTC

My students do Eratosten experiment at 22 September. They are funny and will do again 22 March.

Ilenia, Italy

imelli72 — 2016-10-29 21:53:57 UTC

In everyday life, often the measures are not what you learn at school; a pair of shoes number
42, perhaps measuring 42 cm? In the various countries of the world, shoe size remains constant. but the
a size 44 blouse is 12, in the US in Italy, in Britain it is 10 ... What you are measuring,
really? They measure the color intensity of hurricanes, wind, earthquakes, the speed of
ship (in knots). But how? The TV screen or PC is measured in inches, but it gives a single
extent, of what? Of the longer side, of the shorter one, of the diagonal?
Buying a soap warn us of its pH, a sunscreen UVA 50; what does it mean?

Daniela, Italia

daniela_cutrupia — 2016-10-30 06:47:42 UTC

Math can be found in the kitchen than anywhere else in the house. Cooking and baking are sciences all their own and can be some of the most rewarding (and delicious) ways of introducing children to mathematics. After all, recipes are really just mathematical algorithms or self-contained step-by-step sets of operations to be performed. Working in the kitchen requires a wide range of mathematical knowledge, like:
measuring ingredients to follow a recipe
multiplying / dividing fractions to account for more or less than a single batch converting a recipe from Celsius to Fahrenheit converting a recipe from metric (mL) to US standard units (teaspoon, tablespoon, cups) calculating cooking time per each item and adjusting accordingly calculating pounds per hour of required cooking time
understanding ratios and proportions, particularly in baking .

Michaël/France

mickmasson — 2016-10-30 08:40:30 UTC

I love electing representatives in class, maths and language have a same importance.

María, Spain

2016-10-30 09:28:36 UTC

Designing a specific diet could be another example where students should use their maths skills such as percentages, decimal numbers, etc.

Cristina Crupi, Italy

cristina_crupi77 — 2016-10-30 09:56:01 UTC

I love the idea to connect math to real life so I do every time I can. Once I gave my students the planimetry of the floor where their classroom is and I asked them to identify it and, considering the scale drawing, to calculate its real area. I used the Archimedes's Stomachion to introduce the subject of fractions and I continued making connections to the stained glass windows of churches. My students are always so enthusiastic for this kind of activities because it's like a game for them.

Ene Kruzman

ene_sal — 2016-10-30 10:17:32 UTC

Mathematics - is the fundamental science, the methods which are used actively in many natural disciplines, such as physics, chemistry and even biology.
Mathematics is a space, medicine, weather forecast, city, culture, sport, business

Maia Porombrica

porombricamaia — 2016-10-30 12:32:14 UTC

Different mathematical objects can be found while cooking. Cookery - is a science, which includes many properties, calculus and mathematical laws. Some of them are easy to apply. Other require a thorough knowledge of mathematics. In the end - something tasty and delicious - is a challenge for students.From the beginning we will have the following objectives:
-learning how to measure ingredients,
-learning to calculate the necessary
proportions
-Multiply or divide fractions
-applying the measure to other measurements in grams (one teaspoon, a glass)
Take into account the time needed for preparation

Rosaria (Italy)

onorosa27 — 2016-10-30 14:45:45 UTC

Everything that i have read it’s interesting. I think that the school’s problem is the connection between the maths and the student’s choise, with age more then 14. I use reals problems, mostly with the set theory.
For example in a project i and my students have connect the set theory with Marilyn Monrce

Fabio, Italy

dellanno_fabio — 2016-10-30 15:28:53 UTC

It is difficult to devise a practical activity aimed to exploit specific math skills. However I would propose the procedure of triangulation to establish the position of an object. Of course skills connected to trigonometry are required.

Adriana Laze

adrianalaze — 2016-10-30 16:41:46 UTC

This is an amazing video. I enjoyed so much , especially at the end when the students won different prices about their project . During the last year I organized my pupils on their project into 3 groups and asked from them ; The first group to calculate how m2 tiles they had to buy for the floor of their classroom , how much they had to spend for this and which would be the design.
Second group had to the same thing for the hall of the school .
The third group would do the same thing for the garden of the school. They were very seriously at their work, more competitive , more frame worker and enjoyed so much.At the end I tried to evaluate each group for their special work.

Antonella, Italy

2016-10-30 17:45:57 UTC

Very beautiful activity!
This year in my junior high school third class I would like to engage my students with 3D digital graphics (using trial versions of AutoCAD) connecting with the guidance activities at the technical high school. It could be introduced as a practical activity requiring knowledge of solid geometry.

Mihaela, Romania

2016-10-30 18:25:16 UTC

I like the idea to connect math with real life. Until now I just explained to the students how math can apply to real life, but I didn’t do such a project, PBL.

Breda, Slovenia

breda_policar — 2016-10-30 19:25:14 UTC

I like the idea of PBL very much, but it's not easy to prepare such activities. The connections with real world are very important, as they give the meaning of math, especially for the students with some problems with math.
I had never really practice PBL with my students.

Ivana, Croatia

2016-10-30 19:27:03 UTC

I usually use small activities to more engage my students.
For example, in 5th grade: students make shop lists for buying everyday food with prices. These lists help me to make students realize,why they need to know how to count with decimal numbers or in 8th grade: students need to draw something using all geometric shapes known to them and need to calculate the perimeter and area of their drawings - Pythagorean theorem.
7th grade: every student need to collect, analyze and present some data using a bar and pie.

Jelena, Uk

2016-10-30 19:41:36 UTC

I like this video and the idea to connect maths with real life is amazing. I often use PBL approach and my students like to do it. Sometimes it is very difficult to involve all of them. But after one attempt they start to create their own idea.

Iuliana, Romania

lili_ana_9 — 2016-10-30 19:48:31 UTC

Using the concepts of geometry can solve many practical problems

Helena, Portugal

2016-10-30 19:49:16 UTC

I like the idea to bring PBL into classroom. I explore with my students real examples with video material by using “Virtual School” or others so they can understand that math is aplied to reality all the time.

Mª Carmen García

2016-10-30 22:24:47 UTC

I love PBL! I remember that 10 years ago, when I hadn´t heard about this methodology, a new pavillon as a sport center was built in my school. We asked our students in Maths to design a map to optimize the lines to paint on the floor for the different sports: tennis, football, etc. It was a real work, with a jury composed by the PE Department and the principle. The students did a very serious work! Thank you for make me remind it! We should try another PBL like this. Here you´re our pavillon.
Anyway, sometimes it is difficult to find a significative question, a real one. That is to say, it doesn´t sound to Maths just from the beginning. Frequently we, teachers, adjust the PBL to our contents, and that is unfair, in my opinion.

Angela P.,Italy

2016-10-31 08:12:30 UTC

In a fifth class of primary school it would be interesting to organize a charity collection where pupils realize the products to sell, set prices and programming time also, places and invitations.

Sanja Bimbi, Croatia

sanja_bimbi — 2016-10-31 10:08:13 UTC

5th grade: decimal numbers- calculate the direction in the apartment

7th grade: poll in class and presentation of survey data using charts

7th grade: similarity of triangles- measuring the height of tree using shadows

8th grade: Pythagorean theorem- what is the length of the ladder needed for climbing on the balcony

Elisabetta, Italy

cassiani_ic1riccione — 2016-10-31 14:29:52 UTC

Many arguments, both of mathematics that science, can be introduced starting from real problems; for example, when I start to talk about the extent I ask all students what is the measure of an object (bench width), I leave them free to measure by the instrument is most convenient, then by the comparison of the measures we try to find ways to give only one answer.

Concetta Drago, Italia

concetta_drago — 2016-10-31 16:55:46 UTC

A way to introduce linear systems is to propose

Ásta-Iceland

astaola — 2016-10-31 16:55:59 UTC

Students can make a research where they have to come up with good questions to ask to find out answers to a specific real world problem that concerns them. Find out how to collect good data and how they can use the data to analyse and interpret on.

An other would be to find what math can be found in their hobby and introduce to their classmates.

Lucia - Italy

2016-10-31 17:28:14 UTC

this year I introduced a base of statistic using electronic sheets and every "excuse" to project a new chart: the timetable, if we had to control if everyone brought requested things... now students ask to build tables and project them on their own

The discovery of the fractions

marialuisadisimone63 — 2016-10-31 17:51:59 UTC

Learning goal at the end of V Primary

• Read, write, compare decimal numbers and perform confidently, considering resorting to mental calculation, written or with according to the situations calculator.

• Understand the concept of fraction and equivalent fraction.

Brainstorming questions

You can always split?

Record all student responses.

The fraction is

• Part of a whole

• Quotient

• a straight point

• Operator

• Decimal number

• Rational number

• Probability

· Common language

It is necessary to reflect the students that a single definition is not enough!

Watching the video taken by Khan Academy

https://www.youtube.com/watch?v=jgWqSjgMAtw

https://www.youtube.com/watch?v=U44my48zgFE

Now proceed concretely!

Construction unit fractional ½ "as part "and" as "operator of magnitudes continuous and discrete variables

Construction of other fractional units: ¼, 1/8, 1/16, ... 187��d�+

Marialuisa- Italy

marialuisadisimone63 — 2016-10-31 17:53:23 UTC

The discovery of the fractions
https://drive.google.com/file/d/0Bynw2m6iGiuTbEJQY1pLZUZnSFk/view?usp=sharing

Claudia P., Italy

comunicascienze — 2016-10-31 18:24:33 UTC

It happens every year that my students ask to me "What this argument is useful for? Why we should study it?" and I try to answer, to say that the argument is inside your every day life but I know I'm not convincing.
Experimenting with PBL on Maths subjects could be a more effective way to lead students in understanding that maths is in every day real life. But I have not spent yet enough time to experiment myself in finding new ways to explain maths subjects and lead students to this understanding. I have to understand first by myself!

Dhurata ,Albania

2016-10-31 19:40:47 UTC

My pupils have problems in math..

Massimo, Italy

massimo_pescato — 2016-10-31 19:44:03 UTC

I think that a good project could be amking previsions about the election of students and parents delegates. It involves statistics and applies it in an authentic task.

Daniela Usmiani/Croatia

ddanci — 2016-10-31 19:46:16 UTC

Unfortunately there is not so many free time to solve problems like thisduring Math classes. I knoe that the main goal is to make ss possible to use Math rules in real problems. In a real life ther is lots of percents, statistics and comparing. In almost every situation people have to use logical ans critical thinking. Thats what I want to develop in my ss.

Petra, Slovakia

ms_petrafilova — 2016-10-31 20:22:02 UTC

What I do with my students is a project about Statistics. They are supposed to do a small survey on the topic they choose - there should be one question about quantitative and one about qualitative variable. They are supposed to calculate mean, median and mode, variance and standard deviation. They are supposed to do a presentation on their findings. It is not much, but some of them can be very creative and resourceful. I would like to prepare a special lesson about measurements for my high school students - something using shadow method:)

Anna, Italy

laclassenelweb — 2016-10-31 21:29:54 UTC

I'd like so much to be able to do something similar... I will try with a little project. In the past i did a similar activity with experts and pupils. the goal was to make a nice yard outdoor my school...but what we did...now is dead. may I could restart the project with a new area.

Michela, Italy

changeling — 2016-11-01 07:59:46 UTC

Problem-based approach:"We don't have any pitch at school to have Ph. Ed. lessons: how can we solve this problem?"
-Groupworking to elaborate different solutions, identify tools and materials needed, quantify the costs, prepare a presentazion for the rest of the class.
Maths skills required: organizing, sorting, calculation, spatial organization, measuring,geometrical shapes.

Ana, Spain

agutimend — 2016-11-01 14:28:12 UTC

PBL: If we're working a history lesson as The Medieval Period, children will like a lot everything refers to castles, knights, dressing,.... In that way we can ask our pupils for making a Medieval castle, with towers, dungeons, walls,...places and rooms they have to make using a scale, making three dimensional parts (3D shapes and their properties) and preparing a story to explain when each collaborative group (3 or 4 students) does the castle presentation to the rest of the class.

Luciano, Italy

zaz66 — 2016-11-01 14:29:01 UTC

In the study of exponential and logarithmic I tried to show as much as possible the real world applications: exponential growth, growth with logistic function, decay of radioactive substances, Richter and momentum scales for earthquake and so on.
Students also realized a physical experiment to "discover" th Newton's law of coooling. The students worked in groups, made the measurements and worked out the data with a spreadsheet.

Giulia Ital

giulia_bernieri — 2016-11-01 16:15:08 UTC

I try to search some example in the real life when I present a new topic, even if it's very difficult for some arguments. I use the trigonometry for many example in the real life

Atanasija, Croatia

atbilic — 2016-11-01 17:12:40 UTC

This is a great video! As a PBL in my class I would go with sweets because we have school theme this year that involves healthy food. They will have to calculate how much ingredients they need to bake cookies for the whole class and throught that they will have to recalculate various units of measurement.

Valentina, Italy

2016-11-01 17:54:57 UTC

For example when I introduce the theory of logarithms I ask to each group to write a relation about different maths models that involve this theory:

1. Stellar Magnitudes

2. The Earthquakes

3. The PH

4. Financial maths

5. Perception of sound

Tanja, Serbia

2016-11-01 19:05:36 UTC

When we worked weights and measures they are supposed to create a cookbook with recipes or in groups surveying some of the objects in the schoolyard and compare them by size. They are 9 years old

Diana Szasz, Romania

dianaszasz — 2016-11-01 20:13:29 UTC

For example, "How much material do we need to make a dog house?" for 7th grade. They have to use trigonometry for the roof and the quadrilaterals geometry.
A few years ago, my students drew on the computer and they animated those drawings using coordonates. They had to use formulas of analytical geometry. They liked very much.

Alessandra Italy

alessandra_bass — 2016-11-01 20:20:33 UTC

Arrange a trip

This year with 5th graders we should arrange a 4 days trip in Tuscany. Therefore pupils should compare different option and combination: calculate price of ticket flight; train or bus ( with different price and kilometres); hotel with only breakfast, half board or full board option. Tickets for museums and other historical site. Calculate also time needed for visiting and draft an itinerary. My proposal is to work in group and each group should propose the best value for price.

Andrea, Italy

andrearaccagni8 — 2016-11-01 20:57:19 UTC

This PBL is amazing!
I have been trying to introduce some PBL related to real world (proportionality by calculating recipes or organizing a volleyball tournament, solid geometry by the construction of a real model for example), in my classes
and I've seen a positive answers from my students. I have to say it requires a lot of work and more than this a different way of thinking.
But I believe it is the best way to involve students with Maths and create a significant learning.

Iola Mara, Portugal

iola_ribeiro — 2016-11-01 23:49:18 UTC

When we learn geometry, we use to lauch a challenge to the students: they have to pave the classroom floor. They need do messure, to make a project that simbolises the classrrom floar, they chose a figure that can be used to pave (al figures together have to pavement the rectangle) and to pave at the scale they chose. The skills they develope are: solving problems, messuring, using geometric tranformations like translate, rotation, and so on, proportional figures, using scales and social skills, like working in group.

Anett, Hungary

sziliah — 2016-11-02 08:28:05 UTC

- Plan a class trip
I have an IT group with 14 students. Their project is to plan a class trip. The first step was to figure out the destination. In groupwork they have looked for reasons why sould they go there. After that they'll decide where the trip will be going. The math part will be planing the costs.
- Process some algebric problem with geogebra. Students make excipients for other students to better understanding these problems.

Adina Marcu,Romania

adinamarcu9 — 2016-11-02 10:12:47 UTC

For example when I introduce the theory of geomethric figure . I ask to each group to write a relation about different maths models that involve this theory: solar sistem.The idea to connect with real life is amazing.Using PBL approach and my students like to do it.

Jane Pesca, Portugal

2016-11-02 10:21:39 UTC

I usually do brainstorming to start a new theme. Sometimes I also propose to students conducting research activities. For an example, to study fractions. The last activity fulfilled on my classroom was "As frações e os chimpanzés". The only thing I gave to them was the task. With this task students can explore their ideas and also test it. They work with concepts an feel the need of mathematical Knowledge. Students also work with motivation

Tonia, Italy

tonianardella78 — 2016-11-02 13:48:55 UTC

BPL will be the next challenge for me and my young students.
I think I will follow the main idea of the video: a project based on geometry skills. I will ask them to bring a shoes box. Pupils have to look around them and find the forms of the objects that are in our classroom. Then they have to build our classroom minature in 3D.
An other theme for a BPL could be "Organising the end school party". They have to calculate the quantity of goods and the amount of money we need to buy sweets, drinks, etc... considering parents too. Then they have to choose who buys what and spend money carefully. Finally, they have to move the desks in order to form square tables on which to place the goods. They must also draw and cut invitations. My pupils are 8 years old. At the end of this school year, I think they will be able enough to use the four operations in order to calculate how many things and how much money we will need for our party.

Renata, Italy

renata_restivo — 2016-11-02 14:11:25 UTC

I Think that in the teaching-learning process is very important the integration between real and mathematical worlds. Necessary to encourage children to use the Knowledge acquired at school in real life to orient themselves in modern society. I like to bring PBL into classroom.

Paulo, Portugal

trindade_paulo — 2016-11-02 14:18:34 UTC

I think PBL and the idea of applying math skills to solve real-world problems as a lot of positive aspects and the one shown in the video is amazing. First I think we must start by letting teachers have time to think about their activities in class, at least in Portugal, unfortunately, we are losing too much time with papers and bureaucracy…
For instance, as lots of students have low financial knowledge we can explore the offers of loans and savings banks have searching their sites. Then, taking account of the variables that matter to set the conditions of a loan or saving, students can build simulators using Excel. This way they will improve not only mathematical skills but also other essential skills for the twentyfirst century.

La_biro ita

2016-11-02 14:51:16 UTC

I use to make encourage student to remember What we done in the lesson before. I pratice brain-storming, to start lessons or simple discussion to repeat the last knowledge. This is a way to make integrations between life, language and skill. I also create moment to repeate alltogether what we done.

fassetta_m79 — 2016-11-02 15:17:54 UTC

It's an interesting method to learning Maths. I use this for example to explain the velocity. The students have to calculate different measures, different times, to put the results in graphs. They are able to analyze different graphs.

Michela, Italy

fassetta_m79 — 2016-11-02 15:18:19 UTC

It's an interesting method to learning Maths. I use this for example to explain the velocity. The students have to calculate different measures in group, different times, to put the results in graphs. They are able to analyze different graphs and discuss each other ideas.

Kairi, Estonia

2016-11-02 16:07:15 UTC

I used PBL last schoolyear with my 5. - 6th graders. Through autumn, winter and spring students found in the nature the geometrical objects. They took photos, share them with each other on groups´ GoogleDocs, import them to GeoGebra to show geometrical shapes and put the scale on the GeoGebra worksheets . In the groups they create the set of worksheets with exercises. For them it was very interesting and motivating.

Adelaide, Italy

2016-11-02 17:51:58 UTC

interesting and engaging way of learning mathematics.
Design and work in a group improves motivation

Gilda, Italy

benvenug — 2016-11-02 18:09:22 UTC

Apply Math to real problems is more interesting

Evanthia Kontogouri, Greece

2016-11-02 19:20:53 UTC

I think a nice challenge would be to decide how to make a tunnel for carrying water through a mountain that goes in a straight line, and starting from both edges meet in the middle. They have to plan it using only knowledge from ancient times. As a matter of fact, it is a project that Eupalinos carried out in ancient Samos, a greek island. The knowledge they need is how to make right angles using only a compass and a ruler, and similarity of triangles.

Jafali Doubt Zimbabwe

jafalidoubt2 — 2016-11-02 19:44:15 UTC

I am thinking of a simple problem such as creating a family budget. Calculating how the money is being spent at home. Simple addition and subtraction skills and perhaps the use of Spreadsheet Application for the analysis of data.

Jafali Doubt Zi

jafalidoubt2 — 2016-11-02 19:44:17 UTC

Ilona, Lithuania

tamule1963 — 2016-11-02 19:59:03 UTC

I think the need to connect mathematics with life and nice things. We call it the lessons more integrated. We practice mathematical tourism. We use a variety of measuring instruments, exploring the mathematical objects, visualize, calculate. I support STEAM.

Snežana, Serbia

2016-11-02 21:49:35 UTC

My opinion is that children should presented math through specific examples from life or different job

Francesca, Italia

2016-11-03 14:50:12 UTC

PBL is really engaging for teachers and students.
In second grade it could be nice to play "At the grocery store" or something similar it's useful to understand the meaning of simple operations

Danna, Romania

2016-11-03 19:03:51 UTC

I totally agree with the need to put students to apply their Math knowledge in real life situations.
The problem is sometimes the fact that the curriculum does not allow the time for that - there are a lot of notions that need to be taught in a limited amount of time.
In my class I do try to include lots of examples from real life, but I have never tried PBL. Maybe it is the time to start...

Lia, Italy

2016-11-04 07:37:45 UTC

At the 4th year of mechanics it would be interesting to suggest that students open their own garage to study the economic management.

Selene, Italy

2016-11-04 14:41:12 UTC

In my third primary school class I'm planning to ask children to design a playground area next to the school. They will able to measure, to calculate perimeters and areas of objects looking at them as shapes on maps, to calculate how much the plan could cost.

Evangelos, Cyprus

2016-11-04 21:05:35 UTC

Using the ratio theory i would ask them to make miniatures of real life objects i.e a car, the school design etc.
Using the line theory i would ask them to calculate the slope of certain objects i.e various stairs in the school.
Using geometry i would ask them to calculate the volume of various objects i.e a bottle of water, a water tank, a classroom etc. Also the area of objects, like a classroom and the cost of painting it given the cost per sq.m.

José María Díaz, Spain

josemaria_diazfuentes — 2016-11-05 08:33:14 UTC

We live in a city rich in monumental art. We have already done a study of ancient building techniques but I'm thinking it would be very interesting to calculate volumes of stone, weight and energy to perform some simple concrete construction. It would be a PBL and our students continue to build new parts of a previous project.

donatopiccinino — 2016-11-05 12:45:51 UTC

Donato; Italy

Use very often problems of everyday life. With the fifth primary we worked with large numbers comparing worldwide city dwellers and assuming world population growth for the continent. In this way children have also worked with charts and tables

José Luis. Spain.

pp19002000 — 2016-11-05 13:56:21 UTC

We live in a small town. We have already made a study of the wonderful forest surrounding our village, but I'm thinking it would be interesting to calculate areas and estea volumnes that occupies space and the castle that is in its center. Because every year we went at different times of the year to see and photograph as they are this natural space.

Lucia, Italy

2016-11-05 16:26:39 UTC

I live in a small town but there are problem of traffic. So i propose my student to use geometry to read the map of town to calculate area and lenght of roads so to solve problem of trafic by graph theory.

Maria Guida, Italy

2016-11-05 16:37:55 UTC

I teach in a seconday school and I try to use real problem to introduce a new math subject. For example studing cellular reproduction I ontroduce the study of exponential function.

Alexandra, Romania

rogojinaalexandra — 2016-11-05 17:13:29 UTC

I think a good project for the 7th grade students is making a house and garden map with legend and as maths application - measuring their dimensions in order to calculate areas.
Of course this project could have a sequel in the 8th grade, to calculate the volume of every room of the house.

Paola,Italy

paolamarcuzzi — 2016-11-05 22:29:39 UTC

I never use PBL as in the video , but I often use real problems or real life to introduce a topic or to improve my students' knowledge: I uses cinematic examples in analytic geometry, the reproduction of bacteria for the esponential function, real life problems of max and min,probability...

Claudia S., Italy

claudiascriffignano — 2016-11-06 08:18:48 UTC

First of all I would say that our schools aren't so beautiful and so provided like the one in the video.
Sometimes it is complicated also organize group activities because of limited space; labs are often occupied for activities that require their use. So I generally resort to real problems to introduce a topic and problem solving to taste their skills.

However, the school-work and Simulated Enterprise Project

offer different ideas for PBL. For example: market analysis;
market research (creation of a questionnaire);
choice of a statistical sample;
analysis and representation of data

Francesca, Italy

11effemme — 2016-11-06 10:30:27 UTC

In the forth or fifth class of primary school, I can ask to the students to organize our school trip, projecting the destination (searching in internet the websites), the contents, the duration, the transport, the global cost and the cost for each partecipant, etc...

Maja Balat

maja_balat — 2016-11-06 18:37:30 UTC

1. Cooking: students must cook something. It will be given recipe for 200 people, and they must find out how much ingredients they need for 14 people using proportions. They also must calculate how much will it cost using decimal numbers

2. Travel planning: students will decide where will they go on imaginary trip. They must find out distance between two places using Google Earth and ratio. Also they must decide what transport do they take, in which hotel they will stay in, how long they will stay and which places they will see. They also can make a map of places. hey will be using ratios, decimal numbers, calculate units, Geometry (Geogebra).

3. Family budget: students will plan family budget . They will calculate what incomes and outcomes their family have. What money they must spend on everyday life and what for joy. How much they can increase incomings and where they can save some money. They will be calculate units, decimal numbers, graphs (Excel), percents, interest account...

4. Measuring the height of buildings around school using shadows, where they can use knowledge of similarity of triangles and Thales Theorem

Lenka, the Czech Republic

kudrlickova — 2016-11-06 21:16:02 UTC

After teaching mathematical sequences and financial Maths, we have a PBL activity: Student visit a bank websites or take a leaflet from a bank with a bank offer of a loan. Then a group of students or an individual student count acording the bank offer how long they would have to spare a certain amount of money if they want to achieve their dream ( to buy a new flat, a new car, etc.) Students use the mathematical theory and compare it with the bank offer.

Carolina, Ital

carolina_biscos — 2016-11-07 14:40:21 UTC

Martina O., Italy

innisfail82 — 2016-11-08 08:20:51 UTC

Last year I realized a project in my class with student aged 11-12. In this project we made real soap with a traditional recipe. Actually it was a Science project but there was Maths involved in it as they had to calculate the right amount of water, olive oil, caustic soda, using different measurement units. We used instruments such as scales, thermometers, graduated flasks.

2016-11-08 10:21:42 UTC

Diana, Romania

dya_constantin — 2016-11-08 10:49:53 UTC

I could suggest the students to imagine they own a store, so they can role play the owner/seller and buyer, and use Maths notions: proportions, addition, subtraction to operate with in their activity.

Maria Rosaria Sabina, Italy

laurials — 2016-11-08 15:18:28 UTC

My Bes student aged 13-18 and I suggest them to divide a square , that is a plant of a piece of ground neither school, in many triangles. They use proportion, divition to operate.

Adriana, Romania

adrianamaris201 — 2016-11-08 19:21:09 UTC

For younger students (5th graders, 10-11 years old), I provide supermarket leaflets and a shopping list, together with different tasks like getting the best price (buying packages), calculating the reminder or the discount, etc.

PBL in the Maths Classroom - Adriana Fericean

adriana_fericean — 2016-11-09 08:56:13 UTC

My pupils are very young (7-8 years old) so I tried to tie the mathematical knowledge of their immediate experience working on a project called "Math about me" in order to revise mathematical concepts from the first school year. They have to write how old are they, how many persons live in their house(boys,girls, total), how may toots they have lost, which is their birth date, etc. It was a funny way to remember the concept on numbers.

Ildiko, Romania

2016-11-09 09:29:08 UTC

Together with students from 6th grade we realized geometric shapes of recyclable materials.

Marina, Croatia

marina_njers — 2016-11-09 22:28:34 UTC

With Geogebra my students and I are searching for a function which describe a bridges, route...

Alice - Italy

wonderlittleali — 2016-11-10 08:22:18 UTC

I teach in high school. I introduced systems of linear inequalities using a real life problem: find a day or an hour in which a group of people can meet. They have to represents datas in graph that is the same one that we use in math.

Daniela, Romania

2016-11-10 17:17:13 UTC

I realized with my students objects with different shapes using recyclable materials. They were exposed and filmmakers presented by their peers.

Mihaela, Romania

2016-11-11 11:39:54 UTC

Mathematics in everyday life :
- shoppinsg
- pay- bills
calculation of interest rates
- calculation of taxes

Oriana, Portugal

orianaborges — 2016-11-12 10:57:55 UTC

First I think we must start by letting teachers have time to think about their activities in class, at least in Portugal, unfortunately, we are losing too much time with papers and bureaucracy…
Then we can use de PBL……

When designing geometric solids, is requested to students using geometric figures build solid that you are asked.

Lucia Lauria Spolidoro, Italy

laurials — 2016-11-12 17:42:33 UTC

I think that math is realty and reality is math. Each things each situation is

due to a mathematical problem. I asked to my student to study the USA's election day with statistic.

Francesca, Italy

2016-11-12 20:51:30 UTC

The students have fun in cutting out geometric shapes and putting them together.
They organize themselves into small groups, dramatize texts of problems and find the solution into the drama.

Zeljka Korlevic, Croatia

mravak57 — 2016-11-13 15:29:09 UTC

Students are given the results of state exams and school marks and they have to compare those data using statistics (with no names, of course)

Leo , Ploiesti , Romania

cotac_leo — 2016-11-13 21:13:06 UTC

With geometry skills my students solved many problems in real life . In this way the students work in teams and are motivated.

Vincenzo B., Rome (Italy)

Vincio — 2016-11-14 17:49:48 UTC

[ Example of project ] With little students (8-9 y.o.) I tried last year to let them apply their knowledges about measures by planning the restoration of a small wood gate (gateway!). They had also to make a project for a wall painting (mural) respecting proportions. They made some mistakes when they measure the sizes, so that they had to solve the problem by adding a supplement to the planks. �

Francesco, Italy

francesco_sandrelli — 2016-11-14 23:56:43 UTC

A project that my students could work on using mathematics should involve their beloved smartphones...
They can look for phone operators rates and offers for calls, SMS and internet data, organize information and find best solutions depending on some average user they have to model. They'll use statistics, literal algebra, cartesian graph representation, linear programming.

Jasna Marković, Serbia

jasnamatematika — 2016-11-17 00:50:33 UTC

I did many projects with my students and they like it very much. Using the maths they organize one rock concert, the sport contest to collect the funds for changing their classroom. They had to use their creativity, marketing and organisation skills, knowledge of other subject also. They realize how the maths can be useful in real, life situations.

Case and probability

2016-11-19 10:08:43 UTC

Fabia Genova
Through the execution and examination of small games, such as causal walking and the coin toss, the boys begin to make assumptions about the randomness and probability .

Concetta Drago, Italy

concetta_drago — 2016-11-19 10:56:01 UTC

Lucia G, Italy

lucyteach1 — 2016-11-19 12:06:53 UTC

Pupils' maths skills in Primary school can have a main role in many real life contexts: - calculating rates and shopping to prepare dishes for parties or events in school
- measuring distances, heights, weighs and capacities
- calculating money to pay costs for school trips
- surveys to discover information about mates ' collections and other hobbiesinterests using strategies to design properly display.

Luminita, Romania

manole_luminita89 — 2016-11-19 17:31:09 UTC

This is an incredible way to learn math. We can teach our students how to take care of the family budget, how to plan the cheapest trip, how to cook using a recipe and many more.

2016-11-19 21:37:40 UTC

sar

Paola - Udin

paola_dagostini — 2016-11-20 11:12:45 UTC

PBL

Mariangela. Italy

2016-11-20 17:47:32 UTC

Pbl is a challenging project. It make teachers reflect on what they are proposing to their students.It is not simple, in my opinion, to find the right problem to start from, for example it could be "Which is the best rate for my mobile according to how I use it
?"

Violeta, Macedonia

2016-11-20 19:00:25 UTC

Apply of mathematics to solve the problem of pollution in the city

Elena, Romania

lenuta_chis — 2016-11-21 09:12:20 UTC

The interdisciplinary project is a fun way to learn math.
Interdisciplinary projects for Mathematics and education technological:
graders 5: To refurbish the school yard and calculate the amount of materials they need
graders 6: To make Class budget to rearrange classroom objects and materials which they would like
graders 7: To plan a trip and calculate mileage and time required and budget .
graders 8: To make a business plan on producing and distributing electricity for their village.

Andrea, Italy

2016-11-21 17:39:20 UTC

To set up a Project-Based Learning can be quite challenging for the teachers, but I believe that it worth. In my opinion, a good project could be this: "apply your knowledge of mathematics, technology and biology to project the power plants and the power grid needed by the area where you live."

Luiza, Romania

2016-11-22 08:49:43 UTC

That's one of the reasons i enrolled in this course: lack of imagination in creating projects for them. Of course, calculus skills are very important (money, time, distances, areas) and the most important is using equations in solving problems. So many everyday situations can be seen as equations. If they transpose it into an equation the right way, then it becoms easier to solve

Lucia, Italy. It is very important to use a teaching based on projects. Students can see the importance of the studied concepts but above all put them into practice convincing themselves of their usefulness. unfortunately however it is difficult for teachers to be able to organize training projects involving students.

lucia_marcacci — 2016-11-22 13:39:21 UTC

Arminda Pereira, Portugal

armindapereira1 — 2016-11-26 12:47:31 UTC

Name:

The strange world of Escher

Topic:

Paving, Mathematics and Art.

Description:

M.C. Escher has become an inescapable name in the connection between art and mathematics. His work in the field of paving was remarkable and absolutely innovative. What polygons are the basis for the pavements created by Escher? How did these polygons become to create tiles? How are these tiles articulated to generate pavements? How and what geometric transformations did Escher use in his works?

Project - Paving of Escher. Geometric transformations in Escher's work.

Skills:

- develop visualization and geometric reasoning and be able to use them;

- understand and be able to use properties and relations relating to geometric figures in the plane and in space;

- develop understanding of isometries;

- be able to solve problems, communicate and reason mathematically in geometric contexts,

- The predisposition to identify geometric transformations and the sensitivity to relate geometry to art and technique.

Applying Maths skills to a real-world problem:

http://www.educationworld.com/a_curr/mathchat/mathchat019.shtml

https://www.edutopia.org/

ADRIANA MIHAILA BRAILA

eloma_juliana — 2016-11-27 19:07:39 UTC

I had aproject with my kids where they could estimate great or small distances and then checked actual distances using the Google Earth ruler. They could determine the area of such complex polygons as oddly-shaped crop fields. They could learn about network theory and generalize rules while drawing lines to connect islands.

Tanu Daniela,Romania

tiganasu_daniela — 2017-10-02 19:14:45 UTC

With my third-grade students, we tried to make a project about family budget calculation - a family's spending and spending for a month. It was very exciting to gather information, data, drawings, see if they could do it in the future with a budget.

Silvia Patrizia RUGGERI, Italy

silviap_ruggeri — 2017-10-10 05:32:06 UTC

In my 12th grade level class I have to teach goniometric functions, so I can introduce them by Eratosthenes Experiment.

Zia

2020-07-15 13:46:49 UTC

I knew that the property of commutative associatative properties.

Frozen

2020-07-15 13:48:09 UTC

Tashi did you see my writing in hindi I wrote your name

Anayza

2020-07-15 13:49:27 UTC

Please send me the link so that you can explain