“Green math” Mathematics and Environment

“Green math”Mathematics and Environment

Dr. Ilana LevenbergDr. Dorit Patkin

ICOLACE –SINGAPOREJuly 2012

LEVENBERG - PATKIN ICOLACE 2012

“We must affect a change in the way mathematics is taught by making its applications an integral part of the learning process.”

(N.C.T.M., 2000)


“Adding creativity to daily instructional practices will ensure that students are given opportunities to develop all of their potential….”

(Burke Adams 2007)


A NEW REFORM IN TEACHING MATHEMATICS

Development of multi-disciplinary thinking. Acquaintance with subject matter outside of

the school curriculum

Reinforcement of logical thinking.

Breaking down the framework of conventional thinking.

Encouragement of creativity and originality.

Exposure to mathematical initiations in various fields.


“GREEN MATH” PROJECT

To integrate interdisciplinary activities within the mathematical instruction in order to achieve a higher level of understanding.

To enrich the practical application of mathematical instruction through activities that challenge the student’s imagination.

To raise the students awareness to the Environmental quality


Who took part in our project?

Students from two Teacher College

300 Students

Pupils –grade 5 and 6

80 pupils



Activities within the“Green math”

Air pollution Motor Transportation,

Factories Water Saving Rational use of

electricity Sewage treatment Garbage Recycling

Green- Math Bottles Recycling

Encourage the students to drop empty used bottles to a container for recycling

You can drop two size of bottles, ½ liter and 1 liter

For ½ liter bottle you can get 5 cents For 1 liter bottle you can get 10

cents


Green- MathBottles Recycling

Make a list of possibilities to get different amount of money!

Start with: 5 cent, 10 cent, 15, 20, 25,…….. Think about:Numbers of bottles you need and the type of the bottlesMind the order of the coins you

will get from the “ recycling machine” !


List of possibilities


Amount of money

Type and No` of bottles

No` ofPossibilities

5 cent 110 cent 2

15 cent ?

20 cent ?

List of possibilities

Can you guess the number of possibilities to get 40 cent?


Green- MathBottles Recycling

If you did it correct You will get the list of possibilities :

1,2,3,5,8,13,21……..

What can you say about theseries of numbers you found? Do you see any pattern?


Fibonacci (1170-1250) Fibonacci was an Italian mathematician

(Leonardo from Pisa) In mathematics, the Fibonacci series

are the numbers in the following integer sequence

1,1,2,3,5,8,13,21,34,55,89,144….. Each number is the sum of the previous

two. Fibonacci Published in 1202 his book “LIBER

ABBACI “-Book of Calculation


What about the durability of the natural energy resources?


Studying “Green” Symmetry


In what area did “Green math” answer your expectations?

Subject matter58%

Teaching methods

27%

Social atmosphere15%

Green Math- Students expectations


Students Feedback“We had a chance to see Math

outside of the classroom”.

“We learned Math together with biology, history, geography, physics, economics and more.”

“The activities were interesting and challenging”.

“We would like to have more activities like this”.LEVENBERG - PATKIN ICOLACE

2012

Pupils and Students green math Field Trip


What did we learn from ourPROJECT?

The importance of presenting applications for mathematics terms.

The importance of building a comprehensive, challenging learning environment for student teachers.

The importance of different levels of activities -from the gifted children to others with special need.

The importance of teaching mathematics together with materials from other disciplines.

The importance of team work in launching complex projects.

The importance of educating our students for keeping our environment.


We Got the Whole World in our hands


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“Green math” Mathematics and Environment