We investigate thirty-three second and fifth-grade students' solution strategies on integer addition problems before and after analyzing contrasting cases with integer addition and participating in a lesson on integers. The students took a pretest, participated in two small group sessions and a short lesson, and took a posttest. Even though the…

Demonstrates the merging of cognitive psychology, psychology of mathematics, and special education. Various models of children's addition strategies are reviewed and critiqued. Addition strategy with poor learners should be comprehensive and include interactions between strategies, knowledge, metacognition, motivation, and social factors. (MAK)

Report provides new data concerning children's accuracy as measured by previous studies and clarifies progress of first graders during entire year on difficult single-digit addition and subtraction problems. Discussion focuses on advantages of an adding on interpretation of subtraction and the importance of emphasizing conceptual understanding…

Compared use of derived fact strategies involving addition and subtraction by 20 learning-disabled students (LDSs) from an intermediate level self-contained class to 22 grade-3 normally achieving students (NASs). LDSs did not differ from NASs in verbal fluency or use of alternative strategies. (Contains 20 references.) (MDH)

After a year of instruction, 70 kindergarten children were individually interviewed as they solved basic, multistep, and nonroutine word problems. Thirty-two used a valid strategy for all 9 problems, and 44 correctly answered 7 or more problems. Modeling provided a unifying framework for thinking about problem solving. (Author/MDH)