Mastering Directed Number
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Introduction

1.0 Introduction
Zero Pairs and Addition

1.1 Additive inverses (Zero pairs)
1.2 Field Axioms for Addition
1.3 Zero Pairs — Random Scatter
1.3b TASK: Zero Pairs — Random Scatter
1.4 Modeling additions — A consistent approach
1.5 TASK: Addition — Some to try
1.6 Moving to efficient methods
1.6b TASK — Moving to efficient methods
1.7 Generalising addition
1.7b TASK — Generalising addition
1.8a TASK: Zero Pairs — Behaving Mathematically
1.8b TASK: Zero Pairs — Behaving Mathematically
Subtraction with Directed number

2.1 The difference between minus and negative
2.2 Subtraction as shorthand notation
2.2b TASK: Subtraction as a shorthand notation
2.3 A scaffold for subtraction
2.3b A scaffold for subtraction
2.4 TASK: Subtraction — Some to try
2.5 Variation — Match up the calculations
2.5b TASK: Variation — Match up the calculations
2.6 TASK: Equivalent Subtractions and Additions
2.7 TASK: Efficient mental methods
2.8 TASK: Generalising subtraction
2.9 TASK: The two 2's challenge
2.10 A flawed model for subtraction
2.10b A flawed model for subtraction
Summary

3.0 Summary
3.1 Directed Number — All Slides

1.3 Zero Pairs — Random Scatter

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