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(Gosia Garkowska)

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THIS EBOOK WAS PREPARED AS A PART OF THE COMENIUS PROJECT WHY MATHS? by the students and the teachers from: BERKENBOOM HUMANIORA BOVENBOUW, IN SINT-NIKLAAS ( BELGIUM) EUREKA SECONDARY SCHOOL IN KELLS (IRELAND) LICEO CLASSICO STATALE...

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Stunning Ideas Of Mathematics In Nature 

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Stunning Ideas Of Mathematics In Nature 

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Daniela Praino
Tall Tree
Never thought trees had anything to do with math? You can say that tall trees is just typical tree, and there is always more trees you can see everyday. That's why peoples often overlook something as simple as this.  Well, in mathematics tall tree is an incredible example of height, and guest what, height is one of the essential units of mathematical measurement.
Cow Udders
This one is mind-blowing fact and took a little time for us to actually figure out this idea. If you take a closer look, all cows have exactly four symmetrically arranged udders so that all the members  can drink from them at the same time. I like the fact that mathematics are actually well applied in the nature even before we realize.
Oceans And Lakes
Oceans and lakes are both made of water. Actually the possibility of math is limitless and you can apply just almost anything with water.

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Ciortea Mihai,Romania
"Where some people just look, I see. Where some people only see, I understand, "It should be the dictum that every one of our students should boast.
Let's see, see (the necessary operation), be able to see it and finally know how to see it are stages in the awareness of the primary cycle mathematics.
I have to give the child the opportunity to "mathematicize" before "arithmetize". Mathematization involves a model of reality, arithmetic involves formalization.
What can be the meaning of learning mathematics for students who have perfectly memorized the meeting table, the spreadsheet, and they do not notice, for the mathematical version of a problem, whether, and / or when a particular operation is needed?
1. Ana has 15 colored pencils, 2 pens and 6 black pencils. How many pencils does Ana have?
2. The Ionescu family house is 8 meters high. Right on top of it, Mr. Ionescu mounted a 3 meter high antenna. What height does the house now have?
3. Andrei was on the 38th step of a staircase. He lowers 7 steps, then drops 15. How many steps did Andrew come down?
4. Gigel measures 120 centimeters and Victor has 10 kilograms more than Gigel. a) Who is heavier? b) Who is the taller?
5. You are the driver of a bus. You're leaving with 5 passengers. At the first station there are 4 passengers, at the second station 5 more, at the third station climb 4. How old does the driver have?

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We can use math to know the time.When we make a cake we use math to calculate the grams or kg of aliments we use.. We use math when we count different things,from socks to money,or when we go shopping and there are sales

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“Pythagora’s Theorem”

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Pythagorean theorem: demonstration with water

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Tessellations: maths in nature

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Counting the days of Sunday, the month, the year, computing the days to the New Year, until the end of the school year, adding each year plus our years we are constantly using mathematics.

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When we keep our classes for ecology with students and go out in nature to collect waste, used paper or plant trees, we use mathematics to calculate exactly how many trees we will plant and how many kilograms of paper we have collected.

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My students have made various objects with Tangram figures. They learned geometric figures, measured them, found perimeters and areas.
2. My students solve practical problems for measuring distances, weighing of objects, finding capacity/ the volume.
3. Students observe and study the shape of objects in the environment. They draw using symmetry axis.
Link https://www.mindmeister.com/maps/public_map_shell/1177831891/examples-showing-maths-in-everyday-life-teacher-bondar-gladiola-romania?width=600&height=400&z=auto&t=tb1OYC84e1

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Learning Event 2018: Hand(s) on... why Maths?

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Maths in garden

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I would like to share with my etwinnig project Golden number, where are you?
In this project we took measurements in students' bodies and made calculation about Golden number, we also took photos from realworld loooking for Golden number and finally made geometrical constructions using Geogebra groups, I hope you'll like

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The aim of this project is to investigate where the Golden Number is in real world. In particular, students will take measurements in their bodies and find out if this irrational number is in their bodies.Τhey will search the golden number in nature and they will make collaborative constructions such as golden rectangle and golden spiral.

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Shopping List
The students will create a list with all necessary products that 4-member family would need during a week. They will compare the pricing of the items in four different supermarkets.
Students can obtain conclusions from their lists to answer the following:
• Most expensive and cheapest supermarket
• Most expensive and cheapest item in the list
• Imagine that you must buy the items in your list, but your budget is 80% of the cheapest bill. Using any discounts or coupons available in the supermarket try to buy as many of the items as possible.

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Engineeringnada alobaidi ,jordIs one of the breeding patterns in microorganisms and equal division processes in living cells that help to regenerate cells, heal wounds and grow

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Engineeringnada alobaidi ,jordIs one of the breeding patterns in microorganisms and equal division processes in living cells that help to regenerate cells, heal wounds and grow

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Growth of bacteria
nada alobaidi ,Jordan

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https://coggle.it/diagram/W-70GIFGxIXgY3Pn/t/-

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Maths and Music
Pythagoras was the first to discover that the musical harmony we enjoy is based on patterns, ratios to be precise. (Image: cuemath.com)

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Waves are yet another common pattern found in nature. Think about it, waves can be seen crashing on a beach, at the snap of a rope or sound traveling through a speaker. (curiodyssey.org)

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Cracks are overlooked because they are so common. It is often a pattern engineers want to avoid, for example a crack in a bridge or a road or a glass. Engineers spend a lot of time trying to determine when a crack can become a catastrophe. (curiodyssey.org)

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Mathematics in our everyday life and in Mother Nature

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Animoto's video maker turns your photos and video clips into professional videos in minutes. Fast and shockingly simple - we make video creation easy.

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Mathematics in our everyday life and in Mother Nature

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Animoto's video maker turns your photos and video clips into professional videos in minutes. Fast and shockingly simple - we make video creation easy.

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Real Life Math

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Mathematics in Nature

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Ćwiczymy dodawanie i odejmowanie 3 liczb w zakresie 100. Zaprogramowaliśmy tak robota, aby wybierał dla nas 3 dowolne liczby.

We practice adding and subtracting 3 numbers in the range of 100. We have programmed the robot to choose 3 arbitrary numbers for us.

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Ćwiczymy dodawanie i odejmowanie 3 liczb w zakresie 100. Zaprogramowaliśmy tak robota, aby wybierał dla nas 3 dowolne liczby. We practice adding and subtracting 3 numbers in the range of 100. We have programmed the robot to choose 3 arbitrary numbers for us.

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Math is real

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SECRET LIFE OF BEES is one of the projects that show the connection between nature and mathematics, including the importance of biodiversity and conservation of nature.

We are studying the importance of bees for nature, bee pasture, the distribution of honey stems, correlating with biology and ecology.
We calculate economic feasibility, calculate budgets, calculate honeycomb surface, volume, amount of honey per frame, relative weight of honey, we plank the plane, etc.

We find interesting things like Fibonacci's number in the ratio of bee cranberries and trunks. We count the surface of the correct polygons, we study the patterns of bee dancing.

There are many ways in which this subject can be matched to mathematical content.

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The surfaces of polygon and volume are counted on the example of decorating the apartment. We calculate the surface of the room, we play the game of buying tiles, tile, parquet etc., we make a budget for house decoration, we plan the planes, calculate the volume of premises etc.

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Chiara Maria Camozzi, Italy

This curve was called equiangola by the mathematician and philosopher Descartes in 1638, because tracing a straight line from the pole to any point, this intercepts it always forming the same angle. This form "invented" by nature, has been chosen for various other objects such as galaxies, hurricanes, etc.

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Chiara Maria Camozzi, Italy

The kitchen is one of the places where you would least expect to find the math - except perhaps for some numerical data in the recipes: "Four eggs, two tablespoons of flour", or at most when the doses for four people are to calculate those for three or seven. Beyond this ... there is much more. To look better, behind the smoothies and fries emerge other mechanisms, that an exercised eye can grasp and bring to light. Mechanisms that regulate the functioning and the structure of everyday objects and phenomena, and that conceal within them a large amount of mathematics that is often far from elementary. Why do sausages cook roast faster? What is the best shape for a boiler? Ect.

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Polygons

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Enkelejde Alijaj Albania

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Animoto's video maker turns your photos and video clips into professional videos in minutes. Fast and shockingly simple - we make video creation easy.

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Mathematics is indispensable everyday, if we take into account the concrete situations with which students meet. Learn how many countries are, continents, the shape of planets, temperatures, the number of strofes in poetry ... so math. Small students teach where to go, how to orientate, how to sit -space positions. Then the time that includes the figures, the notions of fractions, the half, the quarter. They measure a playground together, know what distance to go to school, share the juice with colleagues, weigh to see who is taller or heavier, hears the clues about the bodies, their shape-unit of measure, geometric shapes, geometric bodies. Studying the stages of development of some plants includes graphs, calculations, measurements. Solving some situations requires logic. Measuring land, spaces helps us by knowing the areas, so mathematics is everywhere.

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Theories such as that of Isaac Newton's gravity and refined by Albert Einstein, the theory of electromagnetism, formulated by Maxwell's decisive contribution, are examples in which the contribution of mathematics is essential.
In agriculture: - In this field, without the help of mathematics we could not resolve anything. d
It is said that the first mathematical notions have been imposed on man (better known to some people) by Nature itself. Because of the need to have evidence of objects, they say, the numbers appeared.
It is also said that, for example, two would have appeared before him (By induction we could say that n + 1 today appeared before n, for any n and, to the limit, the infinite preceded the finite!). There are (or there were) tribes that could count up to ten. For the Chinese, the ten thousand equaled the infinite.
Over the centuries, it has been found that many natural phenomena are governed by certain rules, which have been called "natural laws", and that in the expression of these laws appear the quan- tal numbers, as well as the mathematical notions, for example, the law of universal attraction: "Two heavenly bodies draw with a force inversely proportional to the square of distance between them." It is said that "the language of the universe" is mathematics and that everything on Earth can be described with its help.
"Nature's laws are God's only mathematical thoughts." Eucla

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The modeling of Nature's laws through Mathematics is currently in full swing, and Mathematics penetrates all fields of human activity in various forms such as Informatics, Cybernetics, Mechanics, etc. It looks like math will go everywhere! In other words, we can talk about a Mathematics of Nature.

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Maths in the kitchen - Pancake riddle

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Marina NIkolic, Serbia
Bees are expert at geometry. They are making

marvellous hexagonal figures in honeycombs.This is a shape bees can instinctively create; to reproduce it, humans need the assistance of a compass and ruler!

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Marina Nikolic, Serbia
The weather is a fantastically complex system, with billions of molecules interacting. Supercomputers divide the entire atmosphere into millions of blocks, each around one cubic kilometer in size, and use numeric simulations to create a high-resolution forecast.
But even tiny differences in measurements and the simulation parameters can have great effect on these predictions.

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MATHS IN NATURE, Jasminka Mircheska, Macedonia

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MATHS IN NATURE, Jasminka Mircheska, Macedonia

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We can find Math everywhere in nature:
1. There are many examples about symmetry in nature
2. There is math in honeycombs: Bees are building it to have the most space with the less material, and to have the strongest structure.
3. There is math in spider web: Spiders use the spiral formula in building the web
4. There is math in diatoms: Their different shapes are following a math formula
5. There is math in snail shell,  in ferns shape, in tornadoes and galaxy shape: Fibonacci sequence
6. There is math in broccoli, in lightning, in snowflakes, in tree branches: fractals.

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4 workers complete a work in 9 days.
How many days will the work finish 6 workers?

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My learning senario

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Images from our mathematics museum and activities at our school

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Symmetry in nature
Students make photos plants and animals and identify symmetries

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https://i.pinimg.com/originals/3c/7d/55/3c7d55b0542bdd6a42610776cc99e8ad.jpg

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I always try to show links from math to real world situations and, if possible, to situations in the students' lives and problems they may encounter. One of the most recent examples was to take advantage of students' tendency to search for information available on the internet, in this case weather information and to realize the importance of converting temperatures from Fahrenheit to Celsius.
On this site you can see examples of approaches similar to the ones I use.
https://www.imaginelearning.com/blog/2017/04/math-real-life-examples