Gives a sketch of some topics in distribution theory that is technically simple, yet provides techniques for handling the partial differential equations satisfied by the most important Green's functions in physics. (Author/GA)

The famous birthday problem is discussed and activities which can be used with it as an introduction to probability are examined. (SD)

Discusses some aspects of the defining process in geometrical context in the reference frame of the theory of "figural concepts." Presents analysis of some examples taken from a teaching experiment at the sixth-grade level. Contains 30 references. (Author/ASK)

Compares the problem-solving skills required for solving well-structured problems and ill-structured problems in the context of an open-ended, multimedia problem solving environment in astronomy. Assesses students' abilities in solving these problems with two sets of open-ended questions. Concludes that solving well-structured and ill-structured…

Considers the potential of reform-oriented curricula to promote equity. Presents two studies in which middle school and high school teachers using reform-oriented mathematics curricula achieved a reduction in linguistic, ethnic, and class inequalities in their schools. Suggests relational analyses of equity as critical to go beyond the curriculum…

Presents a question designed to launch a discovery journey through conjecture, research, serendipitous encounters, proof, answers, and new questions. Reports some discoveries and suggests ways in which to incorporate this strategy into classrooms. Presents a geometry project that incorporates this problem-solving approach to mathematics. (JRH)

Reports on a 3-year study of patterns of student-student social interaction that mediated metacognitive activity in senior secondary school mathematics classrooms. Unsuccessful problem solving was characterized by students' poor metacognitive decisions exacerbated by lack of critical engagement with each other's thinking while successful outcomes…

Introduces a special triangle for which many different problems can be posed on the basis of one unusual property. Presents three problems and considers different approaches for the first problem. Explores other mathematical problems using the "What if not?" strategy that can be used as classroom activities. (KHR)

Comments on student responses to the three dimensional items produced by first investigating flat paper cutouts of the items. (KHR)

Assesses the contribution of self-regulated learning strategies (SRL), when combined with problem-solving transfer instruction, on 3rd-graders' mathematical problem solving. SRL incorporated goal setting and self-evaluation. Contrasts the effectiveness of transfer plus SRL to the transfer treatment alone and to teacher-designed instruction. SRL…

Examines the philosophy behind the issue of computational fluency in "Principles and Standards." (Author)

Analyzes a classroom videotape of the Third International Mathematics and Science Study (TIMSS) with a view toward current and future teaching practices. (Author)

Applies mathematics teaching techniques to the teaching of general problem solving skills for students in all subjects. Offers ways in which every teacher can use these problem-solving techniques in their day-to-day teaching of any subject. Provides a generic framework, rubric, and scoring guide for school-wide use. (Contains five references.) (NB)

Describes "World Class Tests in Mathematics and Problem-Solving," developed with the belief that creativity is worth nurturing and can be nurtured. (KHR)

Reports on the results of a project that involved experienced K-12 teachers in mathematical modeling, using variables and functions in a fundamental and intuitive context, while investigating the appropriateness of spreadsheet solution methods across a broad range of grade levels. (14 references) (LZ)