"Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…

The manual on problem solving was culled from a set of newspaper articles in the Philadelphia Inquirer. Each brief article typically suggests problem solving strategies and offers sample problems on which to test one's skill. Articles are organized into the categories of input, process, and output. The input section offers ideas about analysis,…

This article offers specific strategies to diagnose and remediate difficulties students may have in learning multiplication facts. Analyzes strategies students use to go from a known fact to an unknown fact. The point is made that, for many students, the order of interpretation of a number fact may affect accuracy. (DB)

This article describes a problem-solving strategy unit to be used as a supplement to the regular mathematics curriculum at the primary level. Specific teaching steps and examples are given for three developmental stages of thinking: (1) concrete, (2) representational, and (3) abstract. (DB)

A mapping procedure based on the SOLO Taxonomy developmental model was used to classify the problem-solving strategies of students (n=34) in grades K-2. Only one multiplication problem was used to isolate three components of the problem-solving procedure. (MDH)

Effective intervention strategies for learning disabled students should recognize such cognitive deficiencies as weaknesses in attention, memory deficits, and problems in generalizing and abstracting information. Approaches which emphasize enhanced learning processes include: self-monitoring; repetition and deliberate instruction in control…

This monograph sets forth a theoretical basis for advocating a program of disciplinary arts education as an integral part of general education from kindergarten through grade 12. The title, "The Role of Imagery in Learning," indicates the centrality of aesthetic perception of images. To make the case, it is necessary to show by analysis,…

Reviews a monograph which addresses children's higher-order thinking skills. Suggests the following for teaching problem solving: identify and develop content-independent and content-dependent problem-solving skills, connect developed skills through workshop-style activities to subject discipline, and help students identify and reconstruct their…

This paper presents a rationale for teaching higher level thinking skills to students with special needs, including those with mild mental handicaps and learning disabilities. It briefly reviews the literature on teaching such skills, stressing that thinking skills can be taught through specific teaching methods such as a four-step method…