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…

Factors associated with arithmetic-and-reading disability and specific arithmetic disability were investigated in over 850 representative New Zealand children. Reverse patterns of strengths and weaknesses with regard to verbal and nonverbal skills for these two types of arithmetic disability were found for boys but not for girls. (Author/DB)

Presented are findings from a comparative study involving five developing nations and a longitudinal study of these nations concerning the educational transition between lower and upper secondary school. Results of these studies are discussed with reference to the educational policies of the countries involved in the study. (Author/CW)

This book sets out a constructivist, inquiry-based approach to instruction. The approach builds on clear understandings of children's current levels of knowledge, where their learning should progress to, and the means by which children learn early numeracy topics. The methods presented in this book have been used extensively by practitioners in…

Presented is a comparison of two major surveys of the teaching and learning of mathematics conducted by the International Association for the Evaluation of Educational Achievement. Surveys indicate that performance levels have declined in computational skills and increased in algebra. (Author/CW)

Discusses how students at the end of the French primary school-cycle (10- to 11-year-old pupils) resolve multiplication and related division problems within an assessment perspective taking into account the 3 factors of the problem's representational structure, the numerical values used, and the context of the problem statement. (25 references)…

This research was concerned with the clarification of the role that the external representation process (e.g. drawing) plays in children's solving of complex arithmetic problems. Fourteen children in the 10- to 12-year-old age range were asked to represent and solve five complex arithmetic problems (three with temporal organization of data, two…

An overview is first given of some main theoretical frameworks underlying current European research in mathematical thinking, learning, and teaching. Together with the information-processing and the (neo)-Piagetian approaches, both well known in the United States, two other research paradigms can be distinguished: the action-oriented approach to…

Investigated was the effect of presenting arithmetic word problems in the students' native language or in English on Nigerian students mathematics skills and strategies. Findings indicated that both private and public school students performed better when the word problems were presented in their native language. (CW)

Described are the conceptions held by United States and Israeli students about multiplication and division that may impede their work with decimals. Included are the introduction, method, division and multiplication task results, and the implications for education and textbook development. (KR)

This paper describes the BUD project which surveyed childrens' conceptions of division, and of fractions and decimals. The lack of connection between counting skills and conceptual understanding is discussed. The expectations for new algorithms and the basic idea in planning the BUD project are summarized. Some previous studies on counting, the…

Interviews with 72 mixed ability students, aged 7 to 12, about arithmetic problem-solving strategies, indicated that the preference between procedural and deductive strategies becomes a divergent reality across ability levels. Among the conclusions is that more able children tend to be doing a qualitatively different sort of mathematics than their…

A project initiated by the Instructional Television Centre in Tel-Aviv explored the potential of teletext for use in preschool education, for teaching sixth grade arithmetic and tenth grade English as a second language, and as an electronic magazine. Teacher and student attitudes toward and acceptance of teletext were also investigated. (MBR)

This is volume 6 of the series of translations of books from the Soviet literature on research in the psychology of mathematics instruction and on teaching methods influenced by the research. This book contains both a theoretical examination of the connection between instruction and the development of children, and experimental data on a definite…