In this study, we decomposed the broad practice of deciphering multiple solution strategies. We conducted interviews with 11 preservice elementary teachers, in which we asked teachers to decipher students' standard and nonstandard strategies to multiplication and division problems. We examined what teachers said and did--what we refer to as…

In this study, we decomposed the broad practice of deciphering multiple solution strategies. We conducted interviews with 11 preservice elementary teachers, in which we asked teachers to decipher students' standard and nonstandard strategies to multiplication and division problems. We examined what teachers said and did--what we refer to as…

This research analyzed how fractions are taught in the fourth grade of elementary school in Flanders. Analysis centered on the presence of five features of instruction recommended by research on teaching and learning fractions (i.e., multiple solution pathways, linking representations, estimation and justification of the solution, collaboration,…

This study explored a group of elementary teachers' ("n" = 35) learning to construct high-quality lesson plans that foster student understanding of fundamental mathematical ideas. The conceptual framework for this study was gleaned from the recently released Institute of Education Sciences (IES) recommendations, including (a)…

This study compared the effects of delivering a supplemental, small-group tutoring intervention on the mathematics outcomes of third-grade students at risk for mathematics difficulties (MD) who were randomly assigned to either a schema-based instruction (SBI) or control group. SBI emphasized the underlying mathematical structure of additive…

Discusses five research areas offering guidance to people concerned about teaching problem solving in elementary schools. Areas are (1) components of problem difficulty; (2) the contribution of reading difficulties to problem-solving deficiencies; (3) characteristics of successful problem solvers; (4) children's use of problem-solving techniques…

The purpose of this study was to assess the effects of schema-broadening instruction (SBI), with and without explicit instruction in strategies for tackling the complexities involved in real-life (RL) math problems, on the math problem solving of third-grade students. Teachers (n = 30) were assigned randomly to 3 16-week conditions: control, SBI,…

Summarizes results of studies indicating that play training led to significant increases in young children's problem-solving ability, use of language, creative thinking ability, verbal ability, and conservation. (Author/MP)

Examined the effects of science curricula organized around topical and causal styles of discourse on 46 eighth graders. Found that students taught with the causal style of discourse had significantly higher retention rates and could better apply their knowledge to problem-solving exercises than students taught with the topical style. (MDM)

Examines how teachers' conceptions about teaching mathematics influence the manner in which they plan instruction in mathematical problem solving. Results demonstrate that teachers had a limited knowledge of teaching techniques and that teachers' concerns focused more on collection of materials and resources than on how to teach problem solving.…

Suggests that children enter school with a great deal of informal intuitive knowledge of mathematics that can serve as the basis for developing much of the formal mathematics of the primary school curriculum. Describes a research-based model of children's thinking that teachers can use to interpret, transform, and reframe their informal or…