Previous studies indicate that many early elementary school children have the misconception that whole number subtraction is a commutative operation. The degree and character of this subtraction error was investigated in this longitudinal study. Results obtained from three groups of students with different number abilities provided further…

Presented are examples of how the terminology used in typical rate questions is misunderstood by a large proportion of students. Explanations based on both interviews and paper-and-pencil tests are given as to why this phenomenon exists. (MNS)

Investigates the relationship between the strategies used by preservice elementary teachers in geometric problem solving and two primary mental abilities--spatial visualization and formal reasoning. Reports that the two abilities were related to problem-solving performance, and the strategies used were related to achievement in the geometry…

Ties together the educational threads of teaching thinking skills and improving the intellectual performance in deaf learners. Identifies six criteria for curriculum or research decisions related to teaching for higher-level problem solving. Applications of these ideas to mathematics are left to the reader. (MDH)

This study investigated the performance of 14 Hispanic and Anglo ninth graders on several problem-solving tasks, with the focus on the interplay of language-related factors in translating several mathematical statements expressing relationships among variables into mathematical equations. (MNS)

Interpersonal Process Recall (IPR) is a technique in which audiotapes are used to evoke students' memories concerning their own thinking. Reports a study using IPR to probe elementary students' (n=17) thinking during a problem-solving situation. Concluded that IPR has potential in classroom research. (MDH)

This study examined the hypothesis that prior experience with augmented-quotient problems would positively influence performance on remainder-only problems and quotient-only problems. Analysis of sixth through eighth grade students' (n=545) responses to test forms that systematically varied the order of appearance of these three division problems,…

Reports on research designed to systematically examine how the use of personalized word problems as practice examples would affect learning and attitudes. A computer program was used to generate the problems. It was concluded that presenting problems in familiar contexts made materials more interesting and understandable for students. (PK)

Promotes mathematics instruction that goes beyond computation and problem solving, attempting to make children the "posers of problems." Addresses differences in hemisphericity, processing, and learning styles, as well as maturation differences, sex differences, effects of stimulation, enriched environments, emotion, and the control of attention.…