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shadows and ratio

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geogebra and angles.
an example of dynamic geometry

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La somma di 2 angoli complementari corrisponde ad un angolo retto (90°)

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I use Geogebra to draw shapes, to observe these in  dynamic changes
The use of dynamic programs as Geogebra allows pupils a manipulation of the figures and, with the teacher's guidance, to a viewing of the properties, an easier formulation of hypotheses and an aware use of formulas and specific languages.
Another example of dynamic geometry

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Minecraft is a fantastic tool for learning across many different subjects and it also lends itself well for use in the Maths classroom. By building structures in Minecraft, geometric shapes can be nicely illustrated and simple calculations can be visualised for students. Take a look at the below example where a Maths teacher uses Minecraft to get students to think about and do an activity on volume and capacity. Students can then explore the Minecraft constructions themselves and try to figure out the answer to the question posed by the teacher. The fact this is done in Minecraft will not only be more engaging for many students than looking at a normal jug, but it also allows the students to better "experience" and "explore" the capacity and volume concepts as they can "fly" into the jug and count the number of Minecraft blocks as well as start building their own constructs and

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figure out their volume and capacity.

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Community of Problem-SolversThere's this great project created by Jason Ermer, a Middle School teacher in the US, that tries to create a community of Maths problem solvers. If your students speak English and are older and more advanced, you can get them involved directly in some of the challenges he sets, otherwise you can use the idea of Jason to create your own collaborative maths problem solving community in your class. Take a look at what Jason has in mind and think about how you could replicate or use this in your classroom:

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In my school there is a computer and internet in every classroom because we use electronic register. We have 19 classrooms and 12 LIM. I have LIM in each of my classrooms. This year I taught Excel and PowerPoint to my colleagues. We are beginning to use the tablets in one class this year but only few teachers have necessary skills to use them.

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Asta Iceland

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3rd grade classes have been learning how music and math are very closely related! I used pizza fractions to illustrate how the music notes got their names. I also used this as a way to introduce the 16th notes which they will be learning about next year in 4th grade.

I made this felt pizza my first year of teaching (9 years ago) and it has held up pretty well! I handed out the pizza slices and had the students take turns coming up to help build the pizza. As they created each layer, we talked about that note, its value, and its equivalent fraction.

Next, I taught this song called "Pizza Rondo" (written by J.R. Fretz) and we added Orff accompaniment.

Then, we created contrasting sections using these poems that go along with each layer of the pizza.

We combined all of these parts and put together a performance for their teachers! Our principal even got to come see one of them. :) I chose a few students to perform on instruments and the other students created the layers on the pizza as we performed the poems in Rondo form:

Update: Click here to see a video of this song! :)

Update: Here is a copy of the melody and Orff Arrangement. So many of you have been asking and I haven't been able to locate a copy of this song elsewhere for purchase so I think I am safe posting this. Let me know otherwise. :)

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3rd grade classes have been learning how music and math are very closely related! I used pizza fractions to illustrate how the music notes got their names. I also used this as a way to introduce the 16th notes which they will be learning about next year in 4th grade.

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Kamilla Poland

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Please visit my Activities Page

Musical Fraction Bars
- making melodies with fractions -

The Musical Fraction Bars activity connects your knowledge of fractions and length to musical pitch. Simply choose your fractions and press play your fractions will transform into a musical composition you can see and hear! If you would also like to build a homemade musical instrument that is based on these fractions, check out Phil's Fraction Tubes activity page.

Here are the fractions and pitches we will use:

How to play Musical Fraction Bars: Scroll down until you see the Fraction Bars they're near the bottom-left part of the page. Click on a Fraction Bar. While holding your mouse down, drag the Fraction Bar up to the number 1 on the top ruler and release the mouse button. Notice that you can place a Fraction Bar on any of the ruler lines. Also notice that you can place two or more Fraction Bars on top of each other. To delete a Fraction Bar, just drag it off the ruler and release it. Press the Play button and the Fraction Bars will start playing.

You may also want to start by looking at the some of Phil's favorite songs and rhythms you can see them by pressing the Songs button. You will find musical examples from around the world including popular folk songs, holiday favorites, ancient melodies from Mexico, and drum language phrases from Ghana and the Congo. Now, start enjoying the sounds of fractions!

Technical Note: You must have Macromedia Flash Player 6 for this activity to work. If you don't have it, you may obtain this free download from Macromedia at: http://sdc.shockwave.com/shockwave/download/alternates/.

Home

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Web Design by DT Tech

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Please visit my Activities Page Musical Fraction Bars - making melodies with fractions - The Musical Fraction Bars activity connects your knowledge of fractions and length to musical pitch. Simply choose your fractions and press play your fractions will transform into a musical composition you can see and hear!

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Maria Greece

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Как звучит число Пи

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Как звучит число Пи http://otvetnavse.com/

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Take a picture of something that would be in your students' surrounding or everyday life and briefly explain how you could use it to start out a lesson on a certain Maths topic. Share the picture and description on your Learning Diary and here on the Padlet. If you prefer you can also take a picture from the internet that might show something you would find in your students' surrounding (please make sure you have sharing rights for the picture).

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Since 1999, I decided to tackle math topics with the Excel program.
At year end, our school was invited to the Public Administration Forum in 2000 to exhibit works.
Later I used PowerPoint to create presentations in which the boys explained how gradually learned.
This made it simpler explanations and facilitated learning.
I made the site of the school to reward the kids, but also to share my experience. Currently I create animated lessons with my students

I use every day PowerPoint, Excel and Geogebra. The LIM is fantastic!

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Connecting Maths to every-day life and to our real environment gives Maths topics a purpose and a meaning. Remember that question that students ask: “Why do we have to study this?” In order to avoid it, we can try to show them how Maths can be applied to other sciences, such as Biology or Physics, but also how one can use it in every-day tasks such as cooking, cost-effective packaging, and gardening.

In this module we explore some different approaches how to bring the real world into your Maths classroom. Some of them are more comprehensive such as using a project-based learning (PBL) approach, others are more simple such as using examples for Maths activities from the students' environment. Whatever approach you use, the important thing is that students are genuinely interested in finding the answer to the Maths problem as it has meaning and purpose for them.

Our Learning Objectives for this module are:

1. An understanding how project-based learning can help make Maths more meaningful and result in deep learning in a Maths context.

2. An understanding how normally more mundane activities that can be often found in text books can be made more "real" and engaging to the students

3. Identified and shared a PBL problem or challenge that can result in Maths learning

4. Identified and shared a text book activity and how that could be made more "real" and engaging for students

5. Identified and shared a picture of students' surrounding that could be used in the classroom to introduce a Maths topic

6. Incorporated some key reflections and resources on the Learning Diary

7. Continued work on the Learning Design by adding some activities

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My favorite app is Geogebra - You can see here the file. Move the vertex and observe

you can play with the figure increasing or decreasing the pyramid's height

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puoi muovere il vertice V o i punti A e B

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I teach Maths and Science in middle school.

I was born in Naples 59 years ago, but I work in Rome.

I don't speak English very well, so I show you my works with some images and examples done by Excel.

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I teach Maths and Science in middle school.

I was born in Naples 58 years ago, but I work in Rome.

I don't speak English very well, so I show you my work with some images and examples