## Developmental Approach to the Teaching of Mathematics

#### by Margaret Homfray and Phoebe Child

### Chapter 1: Numbers 1 through 10

- Number Rods
- Tactile Numbers
- Number Rods and Numerals
- Spindle Box
- Number Cards and Counters
- Number Games

### Chapter 2: The Decimal System

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

### Chapter 3: Addition (Group Exercises with Golden Beads)

- Addition without
Exchanging
- Exchanging Exercise
- Addition with Exchanging

### Chapter 4: Multiplication (Group Exercises with Goldn Beads)

- Multiplication without
Exchanging
- Multiplication with
Exchanging

### Chapter 5: Subtraction (Group Exercises with Golden Beads)

- Subtraction without
Exchanging
- Subtraction with
Exchanging

### Chapter 6: Division (Group Exercises with Golden Beads)

- Division without
Exchanging
- Division with Exchanging
- Division with Remainder

### Chapter 7: Linear Counting

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