This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…

This research addresses the actual goals and intentions from which students plan and organize their work in a course of study. Representations can either facilitate or hinder learning and problem solutions. Several salient aspects of adult students' representational systems and how they influenced university study were examined in two studies. The…

French tenth grade physics classes were observed as they studied electric circuits over a one-year period. An analysis is presented of tests taken during the year. The main point separating "average" students from "good" ones is their performances in "implicitly difficult exercises," that is, in what appears…

A review of nine studies on the efficacy of metacognitive interpersonal problem-solving training with students who have learning and behavior problems found demonstrated cognitive gains but less success in demonstrating that such gains were subsequently applied to actual behavior or generalized to other social behavior. (DB)

Asserts that metacognition is one of the most important developments in the contemporary study of learning. Proposes a theoretical analysis of a number of interrelated issues with regard to their importance for metacognition. Focuses on strategy selection in light of the impasse-based theories of problem solving. (CFR)

This fourth yearbook on research on mathematics teaching in Finland contains five articles, four in English and the fifth in German. "Mathematics as a Cognitive Science" (C. Letteri) examines cognitive aspects related to teaching and learning mathematics, with the focus on the different levels of comprehension and an analysis of basic…

This set of five papers, written in German with abstracts in English, was collected by the Institut fuer Didaktit der Mathematik (Institute for the Teaching of Mathematics) at the University of Bielefeld in West Germany. In the first paper, Bauersfeld considers domains of subjective experiences as the best issue for an interactive theory of…