It's All in the Cards: Adding and Subtracting Integers

Abstract

The addition and subtraction of integers is one of the first major avenues, and roadblocks, to student success in the learning of algebra. Unfortunately, many students cannot make, or have a very difficult time making, the transition from working with whole numbers to working with integers. Students who struggle and do not succeed in making this transition undoubtedly find themselves at a disadvantage when trying to make sense of subsequent mathematical concepts that rely on their proficiency with and understanding of the addition, subtraction, multiplication, and division of integers. Moreover, since “algebra is a prerequisite for virtually all other mathematics” (Usiskin 2005, p. 10), one is compelled to find ways to help students make progress with challenging material. The following activity, which has been used in the classroom, gives teachers some techniques and an effective bridge to help students overcome this initial roadblock to algebra.