1. Chapter 7 Helping Children Learn Mathematics
Number Concepts
Chapter 7
Helping Children Learn Mathematics

2. Pre-Number Concepts
1) Classification- fundamental to learning about the real world with or without numbers
boys/ girls
Letter Caps/ lower case
Flowers/ weeds

3. Patterns Math is the study of patterns Can be based on
geometric attributes (shape, symmetry)
Relational attributes (sequence, function)
Physical attributes (color, length, number)
Manipulatives- paper, cubes, attribute blocks to stack, arrange and order in various ways

4. Patterns
Early Grades- develop number sense, order, counting, sequencing
Later Grades- helpful with basic facts, graphing, number theory and geometry

5. Pre-Number Activities
Classification-Process of sorting objects by focusing on attributes or characteristics of the objects, and grouping them based on characteristics
length, mass, size, height, color, shape….

6. Number Meanings
Cardinal use-most common-know when counting objects the last number used is the total amount in the group
Ordinal –to order first , second third…
Nominal—street address, zip code, player on a team

7. Counting
Discrete— Answers the question How many---How many members in your family, how much money in your wallet..
Continuous –Answers question –how much
-- How much milk do you drink, How much water in the tub, how long to walk to the store the answer is given in m_ _ _ _ _ _ _ _ _ _

8. Counting Rote—reciting numbers in the proper sequence order
Counting On, Counting All—If I had 6 apples in a basket and 3 more on the table –count to find total by saying 6 on the table 7,8,9 altogether
Counting Back
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9. Representing Numbers Concrete Models
Picture and graphic representations—drawing a picture, base ten blocks
Numerals 0,1,2,…

10. Number Sense
Order Relations—Smallest to largest and largest to smallest
More than, fewer than
One Greater than, One Less than
Part – Part Whole 6 is 5 +1, 4+2, 3+3, 6+0
Bidirectional Relationship =5+1, 4+2=2+4,