How can students achieve an understanding of multiplication that allows them to go beyond recall to explain their thinking? Author and mathematics education professor Juli Dixon introduces a program that teachers can seamlessly integrate into existing mathematics instruction. Learn six tactics to help you shift from an anxiety-producing,…

The overarching purpose of this document is to define a new vision for mathematics instruction that explicitly attends to the needs of English Language Learners (ELLs), addressing the interdependence of language and mathematics. The sections in this report are devoted to (1) making clear that the grade-level college- and career-readiness…

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…

Some strategies for avoiding misconceptions about the greatest common factor and the least common multiple are presented. Several alternative methods for computing each are given. (MNS)

An activity for generating approximations of pi is described. (MK)

Presented are suggestions for teaching absolute value using five different definitions of the concept. (MK)

Ratio and proportion are discussed by giving examples of a child's view of the concept. Instructional suggestions are given. (MK)

This paper is divided into three parts. Part I connects the reality of the classroom with the idealism which arises from some of the problem solving literature. It is argued that a broader concept of problem solving is needed to provide a perspective for bridging the gap between the conceptions of problem solving in the literature and typical…

This teaching guide suggests practical ideas for encouraging mathematics talent in preschool children. It is part of a series of similar guides developed by the RAPYHT Project (Retrieval and Acceleration of Promising Young Handicapped and Talented) for educating gifted/talented handicapped children and gifted children with no handicaps. A list of…

Practical examples from everyday life, spanning personal financial matters to traveling and even cooking conversions are the lessons offered in this useful guide. The vast majority of older students and adults who come to America come from countries that use the metric system. Learning a new system for measuring, telling time, and so forth is…

Several major factors must be considered when developing or assessing tutorial microcomputer software for mathematics instruction. Both learning considerations and curriculum considerations are discussed in some detail. (MNS)

The developmental curriculum of the Parent-Child Early Education Saturday School for 4-year-olds is presented, and the specific skill competencies and curriculum activities used in the program are described under three major behavioral categories: language skills, gross and fine motor coordination, and math and science concepts. (Some attention is…

It is suggested that elementary school students find rational numbers troublesome because some teachers have an inadequate understanding of rational number concepts and poor facility with rational numbers skills. How to help them overcome difficulties, develop concepts, and know what topics to emphasize are discussed. (MNS)

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…

Through a research grant funded by the Vocational Division of the Indiana State Department of Public Instruction, a developmental research project was undertaken to develop machine trades-related mathematics materials using the terminology, concepts, and methods of modern mathematics. The two volume set is designed to be utilized by first and…