Developing concepts, modeling, and solving problems form the core of essential learning about addition and subtraction. That educators may make the task more difficult than necessary is the thrust of several recent studies. Highlights from these studies (with suggestions for instruction) are presented. (JN)

Discusses ways of teaching integers to children who have a wide range of ability. The strategies involve not only the "right" answer but also such considerations as learning the meaning behind the operators, relating operations with integers to real-world situations, and finding a variety of ways to solve the problems. (JN)

"Math Facts Memory Made Easy" is a program which provides teachers with an effective alternative instructional method and an accompanying curriculum designed to improve students' ability to memorize basic mathematical facts. General information about the program and examples of strategies used are presented. (JN)

First-grade children mastered 72 of 100 addition facts by the middle of the grade, with mastery being defined as a two-second response to a given addition fact. A sequence of activities is presented that serves as an outline of the approach taken. (JN)

Presents activities involving the addition of antinumbers (which uses novel numerical characters); a puzzle which combines practice in working with polynomials and solving simple equations with intriguing facts about turkets; and searching for the number of different right triangles in a given square grid (which helps develop spatial…

Fourth-grade students in Title I mathematics took 40-problem tests to determine types of persistent errors made in addition and subtraction. Tests, administered to 117 students (addition) and 104 students (subtraction), were analyzed for basic fact, random, or procedural errors. Findings are reported and discussed, and recommendations for…

Recent research has provided a reasonably coherent picture of how children learn to add and subtract. There is clear evidence that children do not learn simply by mastering a procedure and storing in memory. Instead, learning is structured in meaningful ways, connected to previous knowledge, and adapted to new contexts. This view of learning has…

Reported is a teacher's efforts to introduce mental methods in arithmetic to seven-year-olds over a four-week period. (PK)

Students who can compute mathematical problems in their heads have learned a skill that is important for estimating and for understanding the number system. Practice activities that can help students master mental computation skills are described. (PP)

Discusses ways to incorporate language into the teaching of mathematics and involve students more fully in mathematical processes. Describes classroom teaching practice with and without writing. Lists 11 references. (YP)

Describes a mathematics lesson using digital sums that allows teachers to assess third grade students' understanding of reasoning, arithmetic, and geometry. (ASK)

Describes a rural school system's successful efforts to help second- and third-grade students master basic facts in arithmetic by developing and using audiotaped material for addition and subtraction. Explains the development of the three-phase tapes. Notes the improvement of students' attitudes and the disappearance of finger counting. (SB)