Two fourth-grade classes served in a study that employed computers for promoting autonomous learning processes through solving challenging problems adapted to students' aptitudes using the number line as an intuitive model. Findings showed that students have preinstructional intuitions and informal knowledge of negative numbers. (24 references)…

Analyzes two aspects of teachers' planned presentations of subject matter (knowledge about subject matter and knowledge about students); illustrates using functions and undefined mathematical operations; and discusses the interconnectedness of subject-matter knowledge, knowledge about students, and knowledge about ways of presenting subject…

Presents 2 mathematical projects involving (n=25) fourth-grade and (n=26) sixth-grade students' concept mapping (on fractions and on geometry) that allowed monitoring of students' individual understanding over time and provided information about students' conceptual understanding. (37 references) (Author/MKR)

Examines characteristics of interactive video and microcomputer technology that are useful in the design and development of instructional modules for precalculus, especially for minority groups that have traditionally been underrepresented in math and science. Theoretical design principles are discussed, and examples for use in secondary schools…

This article outlines the last step in a five-step process for preparing students to engage in a systematic mathematics problem-solving and decision-making process. The lesson plan teaches students to reread the problem, reexamine the question, check selection of operation, and recheck calculations and compare answers. (JDD)

Presents a three-phase process that connects writing and cooperative problem solving to each other and to mathematical skills and concepts. The three phases are: (1) writing to communicate mathematics; (2) cooperative learning; and (3) problem solving. Provides examples illustrating each phase. (MDH)

Presents four cases of real-world probabilistic situations to promote more effective teaching of probability. Calculates the probability of obtaining six of six different prizes successively in six, seven, eight, and nine boxes of cereal, generalizes the problem to n boxes of cereal, and offers suggestions to extend the problem. (MDH)

Presents a study that analyzed errors made by randomly chosen fourth grade students (25 of 57) while using the division algorithm and investigated the effect of remediation on identified systematic errors. Results affirm that error pattern diagnosis and directed remediation lead to new learning and long-term retention. (MDH)

Presents the results of a survey of 922 Alabama secondary mathematics teachers' perceived needs for in-service training. Factor analysis produced six factors, with the factors New Knowledge, Teaching Marginal Students, and Computer Use and Knowledge containing the eight most significant needs. The most significant need was for more parent-student…

Presents suggestions for developing algebraic concepts beginning in the early grades to develop a gradual building from informal to formal algebraic concepts that progresses over the K-12 curriculum. Includes suggestions for representing relationships, solving equations, employing meaningful applications of algebra, and using of technology. (MDH)

Describes the three components of an enrichment program developed in Port Angeles, Washington, to improve mathematics and science instruction: (1) classroom instructional units conducted by a certified teacher, (2) teacher inservice sessions to develop teacher skills, and (3) Family Learning Nights to encourage parental involvement. Enrichment…

Describes the Secant Method, a numerical method to approximate solutions to equations for which symbolic solution methods do not apply. Illustrates the method using the EXCEL spreadsheet program. Discusses instructional implications of utilizing this method. (MDH)

Discusses the mathematical pedagogy changes that reflect the constructivist approach exemplified in the National Council of Teachers of Mathematic's "Professional Standards for Teaching Mathematics." As part of the change process, recommends that teachers (1) reflect on their present practices, (2) risk making changes in classroom…

Presents a model of the tutoring process that takes into account the evolving tutor/student relationship and the subject matter concerns that the tutor is helping the student master. Reports illustrative data from case studies from which the model is derived. (15 references) (MDH)

Reports a study to test the hypothesis that intermediate grade teachers (n=96) will reflect an expectation of male success in the scores they assign to students' work in mathematical problem solving. MANOVA involving the variables of student gender, teacher grade level, and teacher gender indicated no gender bias on the part of teachers. (MDH)