Proposes angle sense as a fundamental connector between mathematical concepts for middle grade students. Introduces the use of pattern blocks and a goniometer, a tool to measure angles, to help students develop angle sense. Discusses connections between angle measurement and the concepts of rational numbers, circles, area, number theory,…

The school district of the City of Saginaw operates a supplemental educational delivery Chapter 1 system in reading and mathematics, the Elementary Compensatory Education (CE) program and the Secondary CE program. The elementary CE, a push-in program operating in the regular classroom and a pull-out program (periodically taking students out of…

A 3-year study applied the four-dimensional pedagogical theory and model of transitional bilingual education in a school with a large Hispanic population, using mathematics content as the vehicle for teaching English. Subjects were approximately 200 fifth-grade limited-English-proficient (LEP) students in three cohorts in a 6-week voluntary summer…

This book is a collection of essays by full-time classroom teachers who describe their efforts to implement the vision of the National Council of Teachers of Mathematics Standards documents and to empower their students in mathematics. Chapter 1, "Students' Conceptions of Mathematics and the Challenge of the Standards" (Dorothy Buerk),…

Children begin school with the ability to use their informal and implicit conceptual knowledge to guide their problem solving, but shift to the use of superficial strategies in their attempts to solve word problems as they progress through school. This paper describes a study designed to investigate the effects of an instructional sequence that…

The Urban Mathematics Collaborative (UMC) project has the goal of contributing to the improvement of mathematics education in the inner-city schools by identifying models to enhance the professional lives of teachers and encouraging the entry of high school mathematics teachers into a larger mathematics community including mathematicians from…

The Urban Mathematics Collaborative (UMC) project has the goal of contributing to the improvement of mathematics education in the inner-city schools by identifying models to enhance the professional lives of teachers and encouraging the entry of high school mathematics teachers into a larger mathematics community including mathematicians from…

The Mobile Education Teams (METs) Program of the Montgomery County (Maryland) Public Schools instructs limited English proficiency (LEP) adolescents. Funded by a 3-year Title VII grant and implemented in six intermediate and junior high schools beginning in 1984-85, METs provide intensive elementary-level English, reading, and mathematics…

A course of study was researched, designed, and implemented by the writer to learn mathematics apprehensions of fifth grade students. The primary goal was to reduce mathematics apprehension through positive mathematics experiences at home as well as in school. The objectives of the program were to develop a more positive feeling about mathematics…

The 1982-83 school year was the second year of the New York City (New York) Public Schools Promotional Gates Program. Under this program students in grades four and seven who failed to attain their promotional criteria (in both reading and mathematics) were retained for a year of intensive remedial instruction. This report is the result of a…

Reports on conceptual understanding and solution strategies for percent problems of (n=31) students representing 2 ability levels from grades 5, 7, 9, and 11. Strategies evolved from intuitive to formal and increased in diversity with increasing age. Appendix includes concept and computation interview questions. (Contains 15 references.) (MKR)

This "Instructor" Supplement on middle school education, presents articles on new research and materials, adolescent development, reasons for teaching middle school, moving toward a middle school curriculum, peer teaching, multimedia software, murder mysteries, ancient China, geometry, teamwork, descriptive writing, literature, problem solving,…

This document presents the second year evaluation of the CAI/Cooperative Learning Project. The purpose of this project is to develop a national model for integrating computer-assisted instruction (CAI) through an integrated learning system. The project is a collaborative effort by two Pennsylvania school districts, Hatboro-Horsham and Pittston…

This document presents the third year evaluation of the CAI/Cooperative Learning Project. The purpose of this project is to develop a national model for integrating computer-assisted instruction (CAI) through an integrated learning system. The project is a collaborative effort by two Pennsylvania school districts, Hatboro-Horsham and Pittston…

After 10 years of teaching rule-driven, procedure-based, algorithm-oriented mathematics, an elementary teacher describes how she began to rethink her teaching style after returning to school for a graduate degree. Her rethinking is based on the first of four student teaching events that spanned an entire school year in which she used the…