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

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

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

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

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….

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

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_ _ _ _ _ _ _ _ _ _

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 Skip

Representing Numbers Concrete Models Picture and graphic representations—drawing a picture, base ten blocks Numerals 0,1,2,…

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--- 6=5+1, 4+2=2+4,