Course Outline

Monday Topics/Assignments Wednesday Topics/Assignments
8/31

Introduction

 

http://www.mathopenref.com/thales.html

 http://www.mathopenref.com/pythagoras.html

http://www.321books.co.uk/biography/socrates.htm

http://www.gap-system.org/~history/Biographies/Plato.html

 

9/2

What is Math? (Part 1); 

Math Myst Tour

Read pages 6-10 (Introduction)

Read pages 11-28 (Western Philosophy),

Read pages 29-30 (Metaphysics),

Read pages 31-40 (Eastern Philosophy)

Read Pages 41-49 (Eastern Philosophy & Science)

 

Additional Material

 

MA21/What is Mathematics _ Philosophical.pdf

 

http://members.cox.net/mathmistakes/what_is_mathematics1.htm

http://members.cox.net/mathmistakes/what_is_mathematics2.htm

http://members.cox.net/mathmistakes/what_is_mathematics3.htm

 
9/7

LABOR DAY

NO CLASS

9/9

What is Math? (Part 2); 

Math Myst Tour

Read pages 50-58 (Schools of Thought)

Additional Resources:

MA21/What is Math.pdf

MA21/What is Mathematics _ Philosophical.pdf

9/14

What is Math? (Part 3); 

Math Myst Tour

Read pages 59-64 (Why does it explain...so well)

Read pages 68-71 (Controversy ... Math)

Homework: Complete Essay 1, Due Monday 9/21

9/16

How do we understand Math? (Part 1); 

Math Myst Tour

Read pages 84-97 (the Brain), 98-107 (Mind-Body Duality), 110-126 (Consciousness)

 

9/21

How do we understand Math? (Part 2); 

Math Myst Tour

Read pages 127-143 (Knowledge), 144-173 (Theories of Learning)

9/23

How do we understand Math? (Part 3); 

Math Myst Tour

Read pages 174-201 (How do we learn Mathematics?)

Additional Resources

MA21/Behaiorism&ConstructivismLinks.pdf

9/28

YOM KIPPUR

NO CLASS

9/30

How do we understand Math? (Part 3); 

Math Myst Tour

Read pages 174-201 (How do we learn Mathematics?)

MA21/Number Sense and Dyscalculia.pdf

10/5

REVIEW FOR TEST 1

10/7

TEST 1

Essay Questions

10/12

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 202-240

Egyptian and Roman Numerals

http://en.wikipedia.org/wiki/Egyptian_numerals

http://www.gate.net/~rwms/HwRomanNumeral.html

10/14

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 202-209

Positional Numbers Systems

Review Problems

10/19

How Did Mathematics Develop? (Historical Perspective) 

Part 1

Math Myst Tour

Read pages 216-231

Topics: Fractions

10/21

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 210-215

Zero, Negative Numbers

Homework: Complete Essay 2, Due Wednesday 10/28

 

10/26

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 232-257

Topic: Infinity & Zeno's paradoxes

MA21/HistoryOfZero.pdf

10/28

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 257-314

 

Topic: Infinity

Infinity

Homework: Complete Essay 3, Due Wednesday 11/4

11/2

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

 

Read pages 257-314

Topic: Exponential Numbers

Practice Problems

11/4

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 257-314

Topic: Exponential Numbers

Practice Problems

Topic and References for Paper Due

11/9

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 257-314

Topic: Exponential Numbers

Practice Problems

11/11

Veterans Day

NO CLASS

11/16

How Did Mathematics Develop? (Historical Perspective) Part 1

Math Myst Tour

Read pages 257-314

Topic: Exponential Numbers

11/18

REVIEW FOR TEST 2

11/23

TEST 2

Essay Questions

11/25

THANKSGIVING RECESS

NO CLASS

11/30

How Did Mathematics Develop? (Historical Perspective) Part 2

Logic in a Nutshell

 

Topic: Propositional (Word) Logic

12/2

How Did Mathematics Develop? (Historical Perspective) Part 2

 

Topic: Symbolic Logic/Set Theory

12/7

How Did Mathematics Develop? (Historical Perspective) Part 2

 

Topic: Symbolic Logic/Set Theory

12/9

How Did Mathematics Develop? (Historical Perspective) Part 2

Practice Problems

Answers to Practice Problems

Topic: Symbolic Logic

12/14

How Did Mathematics Develop? (Historical Perspective) Part 2

Topic: Overview of Set Theory

Reference and HW

Gödel.pdf

Russells Paradox.pdf

Homework: Complete Essay 4, Due Last Day of Class

12/16

REVIEW TEST 3

12/21

TEST 3

Essay Questions

Final Paper Due

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