Mental skills developed through the study of mathematics are identified, and ways in which this information can shape the role of teachers of algebra are suggested. (MNS)

Several common errors reflecting difficulties in probabilistic reasoning are identified, relating to ambiguity, previous outcomes, sampling, unusual events, and estimating. Knowledge of these mistakes and interpretations may help mathematics teachers understand the thought processes of their students. (MNS)

Questions about teaching rational numbers are discussed, dealing with when to teach the meaning of fractions and of decimals, when and how to teach computation with fractions and with decimals, and other issues. (MNS)

Division of fractions and division of decimals, both troublesome, are discussed in relation to helping students learn well and retain what they have learned. A strong conceptual base, mastery of related concepts and skills, and meaningful development are stressed. (MNS)

The role of computers (especially microcomputers) in the mathematics curriculum and suggestions for using them in mathematics instruction are discussed in this yearbook. The 27 articles are presented under five headings. Part 1, Issues, includes articles on comprehensive instructional computing, possible new curricula, and a syllabus for a…

This second booklet of a two-part publication, designed as an in-service tool for teachers of grades K-9, concerns the teaching and curriculum aspects of problem solving. It is a digest of selected topics integral to successful problem-solving instruction. The resource is organized into independent units for individual reference or group…

This book provides a research background for adults helping three to five year olds learn mathematics, including social and emotional processes as well as key mathematical ideas and common difficulties. It includes implications for practice and proposes presented with a playful and sensitive approach. It is illustrated with examples from the…