Presents the University of Chicago School Mathematics Project's (UCMSP) Every Day Mathematics Program as one current reform-based elementary curriculum incorporating geometry throughout the K-6 curriculum, with an emphasis on hands-on and problem-solving activities. Measures the longitudinal effects of such an approach. (Author/CCM)

Reports on a study that examined potential links between mental models constructed by students, the organizational quality of students' prior geometric knowledge, and the use of that knowledge during problem solving. Suggests that the quality of geometric knowledge that students develop could have a powerful effect on their mental models and…

Describes the peer-apprenticeship learning situation between two students in distributed computer-mediated co-construction of mathematical meanings. As a result of assimilating the disposition towards playing with ideas, students were able to engage in meaningful idea-based social constructivism. Contains 60 references. (Author/ASK)

Discusses software for geometric construction, measurement, and calculation, and software for numerical calculation and symbolic analysis that allows for new approaches to the solution of geometric problems. Illustrates these computer-aided graphical, numerical, and algebraic methods of solution and discusses examples using the appropriate choice…

Reports on two studies that use new tasks to compare English children's use of strategies that reverse the order of addends in solving addition problems. Shows that knowledge of commutativity among young children is widespread, but does not establish a direct link between this knowledge and children's choice of addition strategies. (DSK)

Considers 33 preservice secondary mathematics teachers' solutions to a famous sampling problem with particular interest on the use of intuition and/or formal mathematics in reaching a conclusion. Considers the relationship of solution strategy to students' background in formal mathematics and gender. Discusses implications for teaching statistics…

The Interactive Mathematics Program is part of a National Science Foundation effort to design a comprehensive, standards-based high school mathematics curriculum. IMP's four-year program, which replaces the traditional sequence, involves little memorization, integrates traditional material with topics such as probability and statistics, and uses…

Introduces conceptual physics, which does not have the computational roadblock typical to most physics courses and appeals to both science and non-science students. First published in 1990. (YDS)

A study examined the effectiveness of enhanced anchor instruction and traditional problem instruction in improving the problem-solving performance of 42 seventh-graders with and without disabilities in inclusive classrooms. Students without disabilities profited from contextualized instruction, but benefits for the students with disabilities were…

Discusses current reforms and reform documents in science and mathematics education with regard to problem solving and inquiry. Considers assessment methods of inquiry to measure students' performance relative to current reforms. (Author/ASK)

An "ill-defined" informal performance task was constructed to evaluate secondary students' problem solving in mathematics. The task for 170 students in grades 9 and 10 was to evaluate other students' solutions to two mathematics questions. Higher-achieving students generally preferred responses reflecting multiple approaches to problem solving,…

Describes a newly designed interdisciplinary course called 'Algebra for the Sciences'. Studies the effects of the course on students' critical thinking skills, problem-solving skills, and attitudes towards mathematics. Concludes that students had larger gains in critical thinking skills and significantly more positive attitudes towards mathematics…

Presents evaluative work based on the computer algebra system (CAS) TREEFROG which enables drill-and-practice examples to be attempted with immediate, and ultimately intelligent, feedback. Contends that by using a suitable repertoire of black and white box CAS, a full range of algebraic skills can be developed. Presents preliminary evidence based…

What features of mathematical thinking do students exhibit when they use dynamic software in their problem solving approaches? To what extent does the systematic use of technology favour students' development of problem solving competences? What type of reasoning do students develop as a result of using a particular tool? This study documents…

This study explored the use of writing to help students' develop schemata knowledge for algebraic thinking. Eight seventh-grade pre-algebra students participated in a teaching experiment in which they solved algebraic problems related in mathematical structure. The problems involved contexts of growth and change and size and shape. Qualitative…