This curriculum guide for junior high mathematics contains objectives, clarifications or examples, elective suggestions, and ideas for the integration of problem solving and technology for grades 7, 8, and 9. The strands running through all three grade levels are: (1) problem solving; (2) number systems and operations; (3) ratio and proportion;…

The Sequential Mathematics Sequence provides an integrated course of study for grades 9-11 in New York City. This document presents lesson plans for part one of the first-year course, designed for ninth grade. The curriculum interweaves algebra, geometry, logic, probability, statistics, and trigonometry, with the emphasis in the 60 lessons in this…

The activities in this monograph are self-contained explorations into mathematical topics not often included in regular classroom work in grades 3-8. They were selected because of their intriguing enjoyment and because they deal with honest mathematics; they also strengthen skills, especially problem-solving skills. Included are activities with…

Twenty-five outstanding middle grade mathematics teachers were selected to participate in a three-week workshop presented by the Middle Grades Mathematics Project (MGMP) at Michigan State University. A major focus was on the development of leadership; the workshop involved guest speakers, field trips, and an intensive immersion in the MGMP…

This eighteenth annual listing of mathematics education research contains research summaries, articles, and dissertations listed alphabetically by author within each category. For each reference, the grade or age level is indicated. An index is included at the end to help readers locate studies on specified topics. (PK)

The conception of mathematics anxiety held by a teacher may have a great deal to do with the way in which mathematics is characterized in classroom teaching. The purpose of this study is to determine if fourth-grade students' mathematics anxiety can be decreased by a change in implementing new instructional strategies. The study employed a…

Interviews with (n=21) fourth, sixth, and eighth graders, who were asked to construct their own notion of average and representativeness in open-ended problems, identified five basic constructions of average as mode, an algorithmic procedure, what is reasonable, midpoint, and a mathematical point of balance. (16 references) (MKR)

Discusses the two overgeneralizations "multiplications makes bigger" and "division makes smaller" in the context of solving word problems involving rational numbers less than one. Presents activities to help students make sense of multiplication and division in these situations. (MDH)

Describes an activity that demonstrates a teaching-learning model in which students ask yes or no questions to determine an unknown number on a number line. Provides a sequence of five steps to carry out the activity and suggestions for extending and expanding the activity for different grade levels. (MDH)

Examined early mathematics learning in Singaporean preschoolers and kindergartners, as well as preschool teachers' teaching styles and materials. Findings suggest that crucial factors in early mathematics learning include (1) the provision of opportunities for children to reflect on their observations; and (2) adults' warmth expressed in…

This resource book represents shared experiences of Project LINCS' (Lead teachers INvolved in making ConnectionS) teachers and staff in addressing the question, "Are we teaching mathematics so that all students will be empowered to use it flexibly, insightfully, and productively?" and other fundamental questions that are driving change…

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…

A set of 18 posters, each 28 cm x 43 cm and printed on parchmentlike paper, and an activity book for teachers in middle and secondary schools make up this publication. The posters illustrate the ideas that mathematics spans centuries and cultures, and is both useful and enjoyable. The activity book emphasizes problem solving, with a focus on…

In response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide was developed by a statewide committee to present the content that should be taught in Business Arithmetic. It was piloted by teachers in representative school systems and subsequently revised. Eight goals for the course are listed,…

This document includes statements of philosophy and a rationale for the Alberta (Canada) junior high school mathematics program, goals and objectives, a discussion of appropriate content and methods, and a delineation of content using six strands. These include: (1) problem solving; (2) number systems and operations; (3) ratio and proportion; (4)…