Teaching the Essentials of ARITHMETIC
by Philip Boswood Ballard
Description: A thoughtful discussion of best practices for teaching arithmetic processes and the order in which to teach them. The author urges that methods adopted early on smooth the way for more advanced calculations taught later. Lots of food for thought for home educators as well as classroom teachers.
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Table of Contents
1. Intelligence and Habit
2. Eduction.
3. Deduction and Induction
4. Motivation
5. Getting Sums Right
6. The King’s Highway
7. The Beginnings
8. Notation
9. Scaffolding
10. Subtraction
11. The Multiplication Table
12. Multiplication
13. Multiplication of Money
14. Multiplication of Decimals
15. A Tilt at Standard Form
16. Long Division
17. Equivalent Fractions
18. Vulgar and Decimal Fractions
19. Recurring Decimals
20. Problems
21. Problems under Criticism
22. Rule of Three
23. Incommensurables
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