Discusses the problem of finding the amount of fence it would require for the outfield fence of a baseball field of given dimensions. Presents different solution methods for each of the levels from grades 9-12. The different methods incorporate geometry, trigonometry, analytic geometry, and calculus. (MDH)

Following a brief historical review of the mechanism of mathematical modeling, examples are included that associate a mathematical model with given data (changes in sea level) and that model a real-life situation (process of parallel parking). Also provided is the rationale for the curricular implementation of mathematical modeling. (JJK)

Described are student/consultant reports, turned in as homework, that reflected their abilities to distinguish useful from irrelevant information, solve the underlying calculus extremum problem, and reconcile the individual mathematical solutions with the ethical considerations surrounding the moral dilemma of the hypothetical consulting client.…

Discussed are the recognition and the relevance, in terms of teacher/student awareness and subsequent effective teacher treatment techniques, of cognitive disequilibrium as experienced by the student, when such disequilibrium is provoked by mathematical contradictions and/or counterexamples, within the classroom paradigm of constructivism. (JJK)

Identified are three obstacles which students must overcome when examining and interpreting diagrams. The resources of the Geometric Supposer, a set of microcomputer tools designed to aid students, are outlined. The advantages of the use of this software are emphasized. (CW)

The contrast between the teaching of reading and mathematics is drawn. A new set of learning conditions for mathematics is presented based on a model of reading instruction. Immersion, demonstration, engagement, expectations, responsibility, use approximation, response, refinement, and outcomes are discussed. (CW)

Presents a description of pedagogical content knowledge in mathematics, constructed from interviews with fifth grade teachers; suggests modifications in the general conception of pedagogical content knowledge based on this description, and suggests revisions in teacher education practices to improve teachers' understanding of pedagogical content…

The article offers guidelines for using the regular education mathematics curriculum for students with mild disabilities. Approaches geared toward mildly handicapped adolescents include the parallel alternate curriculum, the resource room model, and the strategies intervention model. Specific teaching suggestions are also recommended as are…

Discussed are the problems faced by mathematics students who have limited English proficiency. Suggestions for teaching these students in the context of mathematics are provided. Cooperative learning strategies are stressed. (CW)

Video cameras can be used to gather data, record the development of a project, document learning, aid in problem solving, or create a class archive. Short clips can be laced together with dialog or music without extensive editing. (SW)

Confirms and refutes Freudenthal's provocative prediction that by the year 2002 mathematics education will be integrated into other subjects. Discusses the Committee for the Development of Mathematics Education's report on reforms in mathematics teaching, assessment, and use of computers in mathematics education. (MDH)

Effects of 3 different types of instruction (use of manipulatives, use of diagrams, and use of symbols only) of rational number content and teaching techniques were compared for 75 preservice teachers in a course in elementary mathematics. Only the manipulatives group showed significant improvement pretest to posttest. Implications are discussed.…

Presents a case study of a special education teacher candidate with a learning disability in mathematics. Issues discussed include the nature of learning disabilities in adults; possibility of workable interventions at the adult level; implications of these problems in teacher candidates; and implications for teacher education programs. (27…

Sketches a theory for designing teaching based on mathematical activity, situations, tasks, and interventions, exposing and resolving cognitive conflicts, changes of structure and context, feedback, reflection and review. Reviews the main psychological principles underlying this theory, then considers some examples of teaching designs in light of…

Two articles focus on helping primary level students grow. One article on the school-home connection describes interactive math homework assignments that involve parents; the other discusses how teachers can help fearful children adjust to school, noting what children fear and offering seven steps to help overly fearful children. (SM)