In this study I examined 19 preservice secondary mathematics teachers' solution processes to word problems for which the subtraction or addition of the two given numbers yields 1 more or 1 less than the correct solution. Among the aspects of their solution processes that were examined are: the modeling strategies, the type of errors, and the…

This case study of mentoring in a middle school reform-based mathematics classroom examines learning to teach from a participatory perspective on development. The participants' orientations toward mentoring were considered to capture previous experiences and understandings of the mentor and mentee. In addition, an analysis of the forms of…

This proceedings of the annual conference of the North American Chapter of the International Group for the Psychology of Mathematics Education includes the following papers: "Affective Representation and Mathematical Problem Solving" (Goldin); "Cognitive Readiness and Process-Oriented Instruction in Secondary School Mathematics" (Harrison); "An…

"In Brief" focuses on K-12 mathematics and science research and implications for policymakers, educators, and researchers seeking to improve student learning and achievement This brief highlights the learning gains of 240 elementary students involved in a long-term study in Madison, Wisconsin and their remarkable ability to reason with arithmetic…

Literature at national and international levels argues the importance of including mental computation in a mathematics curriculum that promotes number sense. However, mental computation does not feature in importance in the current Queensland mathematics syllabus documents. Hopefully, with the writing of a new mathematics syllabus, mental…

This guide contains classroom-tested problems designed to introduce and reinforce mathematical concepts in a quick, "fun" way. Activities emphasize the logic and reasoning skills needed to build a strong foundation in mathematics. The problems are thinking activities and require only elementary level mathematics skills. Activities are…

This book contains articles that help to further the process of reform in the middle grades, recognizing that the knowledge acquired during these years greatly affects how well the secondary school curriculum will attain its goals. Critical issues facing middle grade classes in particular and all mathematics classrooms in general are discussed.…

Students enjoy being doctors and patients in a math clinic that provides them with human interaction. (Author/GB)

The computer can be a welcome partner in the instructional process, but only if there is man-machine interaction. Man should not compromise system design because of available hardware; the computer must fit the system design for the result to represent an acceptable solution to instructional technology. The Arithmetic Test Generator system fits…

Children in kindergarten, second and third grades were rated by teachers in four areas of achievement: reading, quantitative, verbal, and listening. These ratings were compared with test results from the Otis-Lennon Model Mental Ability Test in order to evaluate the effectiveness of teacher ratings based on the complex rating scale. (Author)

Research supported by funds from the University of Pittsburgh Learning Research and Development Center, Ford Foundation, and the U.S. Office of Education. (DS)

A method of showing the meaning of decimal fraction without using fraction words or notation. One technique described in detail uses large squares, strips, and small squares; using the metric system and decimal coinage is also suggested. (DT)

Reviewed are the Avon materials and a set of kits for teaching the metric system. (MM)