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Thursday 29 May 2008

When we teach Mathematical Ed...

As the facilitator guides us in Breaking Open the Numbers, we might divide into small discussion groups for Equation Sharing.
Here are some talking points:
(An oldie but goodie from the Curt Jester http://www.splendoroftruth.com/curtjester/)

*How do you feel about numbers?
*Meditate on your favorite number, then write a paragraph about why it is your favorite.
*Choose a song and identify some of the ways in which numbers are present in it. Play the song for the class and lead a discussion about what the class thinks the song expresses about numbers.
*Which number is most present to you in your life today? Which number is most absent?
*We’re going to watch a movie. At the end of the movie we’ll discuss the ways in which numbers are explicitly and symbolically portrayed in it.
*What can you do to be more aware of numbers in your everyday life?
*What are your best and worst experiences involving numbers?
*Make a poster in which you creatively and colorfully depict a number of your choice.
*Although some numbers are called “greater” and others are called “lesser”, in what ways are all numbers really the same? In what ways can the “lesser” numbers be considered greater than the “greater” numbers, and in what ways can the “greater” numbers be considered less than the “lesser” numbers?
*Even though irrational numbers cannot be expressed as the quotient of two integers the way rational numbers can, explain how irrational numbers should be respected and considered to be no different from rational numbers.
*Explain how the traditional classification of integers as either odd or even is merely a social construct.
*Explain how every number has something good about it.
*Do you accept the way that previous generations have used numbers? How do you think numbers should be used? Is there a right or a wrong way to use numbers? What do you consider to be the most personally meaningful way to use numbers?
*How has the way you use numbers changed throughout your life? How do you think you will use numbers in the future?
*Explain why a diversity of numbers is good and what you can do to promote number diversity.
*Explain how multi-cultural approaches to numeral systems (e.g., Mesopotamian, Roman, Arabic) can enrich our appreciation of numbers. Also explain why no numeral system is better than any other system.
*You will have to do a group project in which each person contributes a number. Present to the class all the ways your group can relate the numbers to each other. Your presentation can be a PowerPoint or a video in which you creatively animate the numbers your group selects.
*Write an essay in which you pretend that you are a number. Explain what you think it would be like to be that number.
*If you believe in your heart or in your conscience that 2+2=5, does anyone else have the right to tell you that you’re wrong? Explain why we should avoid judging other people’s mathematical operations.
*Fractions are divisive. Can you think of better ways to express a quotient, without using divisive fractions? Is division something we should strive to do with numbers anyway?
*Explain why the labeling of numbers as either “positive” or “negative” is discriminatory, hurtful, and a manifestation of the bigotry of value-ism. How would you feel if you were labeled a “negative” number? What can you do to help end this kind of discrimination?
*Create a collage of numbers.


I dunno, call me a Traditionalist, but at some point shouldn't felt and burlap come into this?

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