What is math?

“Let’s go outside and find math!”

Create a list of whatever you see fit (30 min.)

Be prepared to discuss upon return.

CLASS LIST OF MATH

“Most of the numbering and determination of the shapes are impositions by YOU, and not features of the natural world itself.”

Explain the extent to which this quote pertains to your class list.

Consider this fact: Many natural objects grow in sequences easily described by the Fibonacci sequence.

What is the role of sense perception in mathematics?

How does the role of sense perception in mathematics compare to the natural sciences?

We will return to this question at the end of the unit when we consider in greater depth the question of whether mathematics is invented or discovered.

Read “More Dismal Math Scores for U.S. Students” by John Allen Paulos. Be prepared to explain whether or not you agree with the reasons he gives for why students should be required to study maths.

What claim does the author make for the importance of the study of mathematics?

Class list of article’s main points

What claim does the author make for the importance of the study of mathematics?

1.Mathematics has three broad functions: practical skills, skills for an informed citizenry and a development of an appreciate for eh aesthetic beauty of maths

2.Think of yourselves in these ways: students of maths, math users, users of maths and professional mathematicians.

3.Read p.188-189.

Read p.189-194-How many different counting systems can

you think of?

Mathematics and certainty, p.197-201 and ALL exercises.

Read chapter “The Trigger Effect” from Connections by James Burke. Complete a timeline of key events, related ideas, and the rise of early mathematics.

Construct a 2-3 minute presentation of your reading including a timeline. Be creative in the construction of your timeline.

“The Trigger Effect” (presentations)

TedTalk Video by Dan Meyer: “Math Class Needs a Makeover”

Activity: Bag the Beans!