Examples of high school case studies are used to illustrate prototypical mathematical images and the use of imagery in metaphoric and metonymic ways in mathematics. Discusses pattern imagery and other types of imagery as central components in a model of mathematical reasoning. (34 references) (MDH)

The influence that number naming grammar has on the understandings of two-digit numbers and place value of kindergarten children of European and Asian background was examined. Results indicate that Asian verbal/numerical representation patterns naming tens and units in order may be associated with distinctive place value concepts that support…

Presents an activity in which students develop their own theorem involving the relationship between the triangles determined by the squares constructed on the sides of any triangle. Provides a set of four reproducible worksheets, directions on their use, worksheet answers, and suggestions for follow-up activities. (MDH)

Seven chapters consider what learning is and what counts as learning in the context of formal schooling. How qualitative research assists in this examination is explored. Qualitative research is an indispensable tool in the repertoire of research approaches that will illuminate learning discourse. (SLD)

Compared the effects of using various computer software programs on the attending behavior of children with attention-deficit hyperactive disorder (ADHD). Found that the attention of ADHD children increased while they used software with a game format when animation was not excessive. Other factors affecting nonattending behaviors included the…

This paper describes the use of cooperative groups in teaching calculus. It discusses benefits and drawbacks of group techniques and presents reactions from both students and the author. (Author)

Provides a profile of Abdulalim Shabazz and his philosophy and practices relating to excellence in mathematics education. Highlights include his career at Clark Atlanta University; graduate mathematics students; teaching students based on need rather than test scores and background requirements; and gender equity in higher education, especially…

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…