Early Numeracy & Counting
Verbal Counting
Oral repetition combined with some manipulation of objects
Counting slowly and effectively
Teaching skip counting through song (2, 4, 6, 8....)
Manipulatives and hundreds charts are useful for kinesthetic learners
Give a # and start counting from there to another number (practice)
Number writing rhymes to associate counting with symbols
Operational Sense
Using subtraction in a "counting up" process and "taking away process"
Recognizing mathematical concepts in everyday life.
Manipulatives such as number lines and dot cards to understand the basics of adding and subtracting
Making estimations and predictions
Recognizing/Manipulating Quantities
Activities with WHOLE/PART relationships using manipulatives
Counting ON vs. Counting ALL
Using landmark numbers such as 5,10,20 to count quantities in steps
Representation
Creating their own methods for working through addition and subtraction
Have students understand the difference between the forms of representation of numbers (standard, expanded, written)
Examples include 'number show and tell', building numbers with digit cards, using place value charts, place value + charts for expanded form & pictoral representations (1 cube vs. 10 cube rod).