Global Math Project Experiences | G'Day Math

Global Math Project Experiences

Overview

Our exemplar topic is the astounding K-12 -and beyond!- story of Exploding Dots and we invite you explore that incredible mathematics with your fabulous students first. And if you when you are ready to try shorter experiences to play with and explore, on a variety of different topics, you’ve come to the right spot!

Slowly we’re building up a library of experiences. ENJOY!

[Further: We would love to learn of your ideas too! Would you like to develop an experience for the world, and present it too? Let us know!]

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Lessons

1.0 PENCIL PUSHING: Exploring the joys – and mysteries – of angles in Geometry

1.2 What is an Angle?

1.3 Putting Pencil-Pushing to Use

1.4 How Many Degrees are in a Martian Circle?

1.5 Turning Once versus Turning Twice

1.6 IT’S ALL A LIE! (Well, only sort of!)

1.7 Pencil-Pushing Inspires Truth Nonetheless

1.8 An Inescapable Area

1.9 Which Way Did the Bicycle Go? – and other bicycle ponderings

2.0 GARDEN PATHS: Fractions, Probability, and the Infinite

2.1 Welcome to Garden Strolls (PART I)

2.2 Flipping Coins, Rolling Die, and Such (PART I)

2.3 Infinite Garden Paths (PART I)

2.4 PROBABILITY: A Historic Start (PART II)

2.5 PROBABILITY: What we Choose to Believe (PART II)

2.6 ASIDE: The Infamous Two-Girls Paradox (PART II)

2.7 ASIDE: Does “and” mean “multiply” in Probability Theory? (PART II)

2.8 Infinite Garden Paths – Again! (PART III)

2.9 Infinite Probability Problems (PART III)

3.0 ARE ALL U-SHAPED GRAPHS QUADRATIC?

3.1 Some U-shaped Graphs

3.2 Gravity and Galileo’s Insight

3.3 Sequences – For When You Trust Patterns. (But please don’t trust patterns!)

3.4 Projectiles, Parabolas, and Non-Parabolas

3.5 Debunking Patterns

3.6 Fitting Quadratics to Data

3.7 ASIDE: Personal Polynomials

3.8 BONUS SECTION: Other Ways to Play with Sequences – For When You Really Do Trust Patterns

3.9 BONUS SECTION: Theoretical Proofs

4.0 Global Math Week 2021 #gmw2021

4.1 MATH IS ___ Video Contest for Teachers and Club Leaders: INSTRUCTIONS

4.2 MATH IS ___ Student Posters

5.0 COMMUNITY ACTION for Online Resources

5.1 WELCOME .. .and START HERE

5.2 EXPLODING DOTS from the Global Math Project

5.3 JOYFUL MATH JAMBOREES, VIRTUAL PUZZLING, MATH CIRCLES, and MORE!

5.4 EDUCATIONAL RESOURCES Made Free (or already free!)

5.5 ASK MATHEMATICIANS ANYTHING

5.6 QUARANTINE ADVICE and THOUGHTS

5.7 FABULOUS ODDS and ENDS

6.0 Three Experiences from Henri Picciotto: NUMBER PYRAMIDS and ADD TILL IT’S PLAID and FRACTIONS

6.1 NUMBER PYRAMIDS: Video and PDFs

6.2 ADD TILL IT’S PLAID

6.3 A Grid-Paper Approach to Fractions

7.0 Straight Up Curriculum Math for the 21st Century

7.1 Context and Instructions

7.2 Have a Running Group-Sudoku Puzzle for the Week; Have a Personal Polynomial Too!

7.3 Topic: Graphing Polynomials and Rational Expressions

7.4 Topic: Sequences – arithmetic and geometric

7.5 Topic: Probability

7.6 Topic: The Quadratic Formula

7.7 Topic: The Story of TRIGONOMETRY

7.8 Partial Fractions

8.0 Matrices and some Applications: Making Natural Sense of it All

8.1 Context of these Notes

Protected: 8.2 Matrices and their Arithmetic

Protected: 8.3 Geometric Transformations and Matrices

Protected: 8.4 Practice Problems 1, 2, and 3

Protected: 8.5 The Problem of Large Powers: DIAGONALISATION, and more!

Protected: 8.6 Markov Processes

Protected: 8.7 Coupled Linear Differential Equations

9.0 ARITHMETIC & ALGEBRA for Radical Comprehension

9.1 Chapter Content

11.0 Pile Splitting: Freaky Fraction, Crazy 1s, Matrices, and More!

11.1 Pile Splitting

Protected: 11.2 Modular Arithmetic

12.0 “Houston: We have a problem!”

12.1 “Houston: We have a problem!” worksheets

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Resources

Books

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Guides & Solutions

Dive deeper into key topics through detailed, easy to follow guides and solution sets.

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