A large percent of a child's time in mathematics is spent working in the whole number system.  Operations, properties, and basic facts become crucial in the child's instruction.  In many textbooks, children are taught whole number systems and fact strategies in the following order: addition, subtraction, multiplication and division.  To follow the NCTM Curriculum and Evaluation Standards (NCTM, 1989), all four operations should be taught and developed within the elementary grades.  The importance of number sense had been referred to the "backbone" of mathematics.

As students develop concepts and explore problem situations involving operations, the teacher should provide experiences to develop "operation sense" (NCTM, 1989).  The NCTM
Curriculum and Evaluation Standards define this term as understanding properties and relationships for each operation, developing relationships among operations, and acquiring intuition about the effects of operating on a pair of numbers, such as increasing addends, removing addends, skip counting, and finding missing factors. (Hatfield, Edwards & Bitter, 1997).

Addition Fact Strategies

Adding one
Cuisenaire rods are a great manipulation tool for teaching this principle.  By placing Cuisenaire rod on its end and showing an increase in height of 1 for each consecutive rod creates the appearance of a set of stairs.  With each Cuisenaire rod in place, the students can visualize the relationship of adding "one more" to the set (Hatfield, et al., 1997).

Near Doubles
In order for this strategy to be effective, students should understand their "doubles facts".  For example, 8+8=16 and 9+9=18.  However, if a student is faced with a problem (8+7), a strategy might be, 8+8=16, so 1 less would be 8+7.  Therefore, the answer would be 15 (Hatfield, et al., 1997).

Counting On
Can be seen by flipping an index card or explained verbally.  In counting on, the student is provided with an addition problem.  If the problem is 6=3, one strategy would be 6+1=7+1=8+1=9, concluding, 6+3=9.

Click here to continue more fact strategies