Developmental Approach to the Teaching of Mathematics

by Margaret Homfray and Phoebe Child

Chapter 1: Numbers 1 through 10

1. Number Rods
2. Tactile Numbers
3. Number Rods and Numerals
4. Spindle Box
5. Number Cards and Counters
6. Number Games

Chapter 2: The Decimal System

1. Exercise 1 with Quantities: Relative value of unit, ten, one hundred, and one thousand.
2. Exercise 2 with Quantities: Going to the next hierarchy as one passes nine.
3. Excercise 3 with Quantities: Naming Quatities.
4. Exercise 1 for Numeration: The way 10,100, and 1000 are written.
5. Excercise 2 for Numeration: Laying out the Decimal System in Numerals
6. Excerise 3 for Numeration: Reading Large Numbers
7. Excerise 4 for Numeration: Matching Quatities to Large Numerals
8. Excerise 5 for Numeration: The Bird's Eye View of the Decimal System.

Chapter 3: Addition (Group Exercises with Golden Beads)

1. Addition without Exchanging
2. Exchanging Exercise
3. Addition with Exchanging

Chapter 4: Multiplication (Group Exercises with Goldn Beads)

1. Multiplication without Exchanging
2. Multiplication with Exchanging

Chapter 5: Subtraction (Group Exercises with Golden Beads)

1. Subtraction without Exchanging
2. Subtraction with Exchanging

Chapter 6: Division (Group Exercises with Golden Beads)

1. Division without Exchanging
2. Division with Exchanging
3. Division with Remainder

Chapter 7: Linear Counting

1. Colored Bead Bars
2. Learning the Name 10 - 19
3. Connecting the Names 11-19 to the Numerals
4. Placing the Quantities and Numerals 11- 19 Together
5. Learning the Names of the Numbers 20 - 90
6. Identifying Numerals 10 -90
7. Placing Quantities and Numerals Together for 10 - 90
8. Counting 10 - 99 with Quantities and Numerals
9. Counting the Chains of 100 and 1,000.