When you hear the word "math" associated with preschool and early grades, you probably think of one number written over another, with a plus or minus term. In your child's world, however, many math terms and processes have begun before equations and symbols appear. You have been working on grouping objects by saying, "Put the two trucks away." He or she also knows what a penny is. You have said, "Put them together" or "Take one away," and your child has discovered the concepts of whole and half.
Let us begin with two (2) pennies to show the depth and dimension of what the child learns. The first penny in a gum ball machine establishes one (1) coin and one (1) candy. The child recognizes money and the number one, but three other concepts are going to emerge in his number skills learning when you go beyond one to two pennies.
1. The child matches two objects (pennies) to the numeral 2.
2. When the child hears the number 2, he should be able to pick out the written numeral 2.
3. When the child sees the number 2, he should be able to say the number 2.
4. Eventually, he should be able to write the numeral 2.
Reciting will come next as the child is able to count to ten through practice and memorization. Then we move to numerating, where the child counts a number of objects, i.e.: 5 pennies, 1-2-3-4-5, laying down a penny at each spoken numeration.
Very importantly, the child learns that numbers are used for everyday things such as age, address, and telephone number.
We first show, in the Counting 1-10 workbook, the numeral 1 and one apple, and continue with numerals and pictures to 10. Then we show the number 1 and 1 dog, and have the child interact by circling 1 bone (with 2 and 3 bones also depicted). We then circle 1 more thing and have the child trace and write 1. We've done these matching exercises for you and carry these double-page spreads through the number 10.
In Numbers 1-12, a transition book, we introduce the written word for the number and proceed with more grouping and counting.
School Zone's sequential learning products lead the child up to and all through addition and subtraction, then on to the challenge of multiplication and division.