Discussed is the efficacy of the spiral mathematics curriculum. Many feel that mathematics curricula in their current forms are hurting efforts to improve mathematics education. Reform guidelines are suggested. (KR)

Discussed are a review of related literature, a review of other programs, a survey to determine the actual learning environment of the other programs, a review of student demographics, the group decision process (a Delphi exercise), and the evaluation of the program components. (CW)

A 3-year core curriculum may be the fundamental change proposed for grades 9-12 in the "Standards." This article provides 2 examples for content differentiation for particular topics and problems. Some suggestions for adjusting the present curriculum to align with the core curriculum are provided. (YP)

Differences in computer languages are noted. Symbol-based languages offer some distinct advantages over number-based languages, both in the form and the content of the student's interaction with the computer. Some of these advantages are explored and their applications to teaching mathematics described. (MNS)

Describes study of elementary school children in Australia which was designed to determine their sequential knowledge of measuring length and to apply recent cognitive theories to predict the sequence of development of knowledge. Recent literature is reviewed, information processing skills are discussed, and skills required for measuring length…

Ways in which children think of 10 are considered first. Then a study with 14 second graders is reported; students were placed at three levels with respect to their addition and subtraction concepts. Findings are detailed, along with implications for instruction. (MNS)

A fairly traditional precalculus problem is modified to address some common concerns with the teaching of problem solving. Areas of problem solving which are illustrated include: posing the problem; modeling the problem; transforming the data; and examining the solution. (PK)

Discusses the need to improve the mathematics education of future elementary teachers by making changes in curriculum and attitudes. Discusses the reform documents: "A Call for Change" of the Mathematical Association of America and the "Curriculum and Evaluation Standards" of the National Council of Teachers of Mathematics.…

Describes a study of 57 vocational program faculty at Odessa College (Texas) to determine their perceptions of crucial competencies for students to master. Presents a core of 38 mathematical competencies identified as necessary for student success, grouped in the areas of whole numbers, fractions, decimals, mixed operations, and measurement. (26…

Attempts to help teachers reflect on classroom practices to encourage more participation in mathematics by all students, especially African Americans. Discusses learning styles of African Americans, culture-fair curriculum, and teacher expectations of African Americans. (14 references) (MKR)

Four approaches are presented to teaching mathematics within a more mathematically relevant curriculum. These approaches include teaching mathematics through classroom routines and planning, children's literature, simulation, and other content areas. These approaches are felt to take advantage of the mathematical opportunities easily found in…

Explores the history of geometry at the secondary level and discusses criticisms, suggested revisions, and reasons for the lack of evolution in secondary geometry. Recommends that teachers develop a broader knowledge of geometry, use supplements to the textbook, advocate changes in textbooks and tests, utilize coordinate geometry, and rethink the…

Provides a survey of models that use mathematics in a variety of fields of social science. Discusses specifically mathematical applications in demography, economics, management, political science, psychology, sociology, and other areas. Proposes four unsolved problems. (20 references) (MDH)

An argument for the recognition that multicultural diversity plays a fundamental role in the affairs of both mathematics instruction and assessment, and that such recognition is the necessary starting point for strategies of raising levels of students' mathematics achievement in British schools, is presented. (JJK)

Presents a five lesson unit at the fifth grade level to teach the geometric concept of similarity using manipulative materials and multiple representations. The summary presents rationale for teaching and classroom management decisions. (MDH)