Summarizes 14 mathematics word-problem-solving intervention studies for elementary and secondary students with disabilities or who were at-risk for math failure. Interventions included representational techniques (diagramming), strategy-training procedures (cognitive and metacognitive), task variations (sequencing and word-problem context), and…

Discusses cooperative problem solving among Open University physics and math students and describes three studies that investigated how to design effective computer-based support for collaborative learning in distance education. The value of peer interaction for learning and problem solving is discussed, and students' attitudes to group work are…

Presents an activity through which students develop mathematical concepts connected to area and perimeter in a rich, real-life setting and use tables, graphs, diagrams, and spreadsheets to explore the problem, see relationships, and make and test conjectures about those relationships. Encourages algebraic thinking. (SYB)

Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)

Presents the reactions of a mathematics educator and a mathematician to a seven-year-old student's response for finding square numbers. Reflects on the mathematician's focus on the mathematics of the problem and the mathematics educator's focus on the student's systematic way of working, and discusses the common focus of student creativity. (MDH)

This article is concerned with the learning of mathematics before the commencement of formal schooling. Describes the experiences of two students from four main sets of data: formal and informal measures of mathematics achievement, the learning environment in the home, and observations during teacher-led sessions concerned with mathematical…

Fifteen learning-disabled (LD), 33 attention disordered (AD), and 28 normal adolescents were assessed with 2 performance measures and 3 behavioral measures while working on mathematics problems. Findings support theoretical predictions that LD and AD children have difficulty with repetitive stimuli, contributing to mathematics deficits. (SLD)

Examples from related case studies illustrate possible consequences of a social constructivist approach to learning and teaching mathematics. Discusses student tasks that promote flexibility in mathematizing subject matter; constructive versus Euclidean geometry approaches; working with real-life mathematics problems; and product versus process…

Discusses how children's books can engage students in communicating mathematical ideas. Describes situations in which teachers use literature as a stimulus for thinking, listening, writing, speaking, and reading about mathematics. (12 references) (MDH)

Describes study of eighth grade students that was designed to determine whether gender of the protagonist in mathematics story problems can play a significant role in mathematics learning. The use of the Secondary-School Attitudes toward Women Scale is described, and correlations among individual difference and task-outcome variables are analyzed.…

The purpose of this study was to examine the cognitive correlates of RD-grade skill in arithmetic, algorithmic computation, and arithmetic word problems. Third graders (N = 312) were measured on language, nonverbal problem solving, concept formation, processing speed, long-term memory, working memory, phonological decoding, and sight word…

Educators who thoroughly investigate data, raise questions, examine student learning, test their hypotheses, and then share their findings are mirroring effective math and science instruction. Using collaborative inquiry, data teams can help improve teacher knowledge and help teachers change their practice in ways that will enhance student…

Many teachers and administrators have recognized that problem solving and reasoning represent two of the primary goals in the education of children. In order for teachers to achieve these goals, they must have appropriate materials available to them. This book includes materials to help teach and assess problem solving and reasoning. The first six…

This book provides a model for taking instruction from the traditional focus on content to a student-centered focus that aligns selected content with quality and context. The organization and alignment of curriculum, instruction, and assessment is based on practical classroom application. Numerous examples of performance-based mathematics are set…

A theoretical model and methodology is presented that allows the path or trajectory of an individual's emotional experience during problem solving to be depicted and empirically studied. The trajectory of one's emotional experience reveals how well the individual copes with the frustration of problem solving by indicating how quickly recovery…