A model solution to a proof question on an examination is explored and subjected to a detailed analysis in terms of Toulmin's scheme of argumentation. In doing so, the ways in which the scheme has been variously used in the mathematics education and philosophical literature are contrasted. The analysis raises a number of issues concerning the…

This paper deals with the nature and the level of difficulty of teaching and learning physics in the first year of undergraduate engineering schools in France. Our case study is based on a survey regarding a classic and basic question in applied physics, and which was conducted with a group of second-year students in a post-baccalaureate 1…

Focusing on the case of mathematics, this paper reviews debates on China's new Basic Education Curriculum Reform program, including the status of knowledge within the reformed curriculum, the arrangement of the curriculum system, and the push toward real-life applicability and hands-on participation. It discusses the related challenges that…

This quasi-experimental study used the two group pretest/posttest design to investigate the comparison of the acquisition of mathematics skills between General Mathematics students and Applied Mathematics 1 students. In the 1994-1995 and the 1995-1996 school years the Generalizable Mathematics Skills Assessment was administered to General…

In response to an earlier article advocating the elimination of fractions from the curriculum, the author argues for their retention. He points out examples of their use in music and physic, and discusses methods of presenting operations on fractions. (SD)

This document builds on the foundation laid by the 1985 edition of the "Mathematics Framework for California Public Schools" to describe the structure and organization of instructional programs that address the goal of developing mathematical power for all students. An introduction discusses the nature of the proposed reform and the…

Argues that reform in curriculum and instruction should be based on students resolving problems rather than mastering skills and applying them. An alternative is proposed that builds on John Dewey's "reflective inquiry," arguing that this approach would facilitate students' understanding. This proposal is compared with other views on the…

Reports part of the results of the Design, Development, and Assessment in Mathematics Education Project that tested the booklet on descriptive statistics called "Data Visualization" in six experimental algebra classes in Whitnall, Wisconsin. Describes examples of problems presented, use of cooperative learning during instruction, and…

For change to occur in mathematics instruction, teachers need control of significantly different instructional sequences, evaluation schemes, and curriculum and to think beyond procedural views of mathematics. Two-week inservice and coursework separate from classroom experience are not sufficient to achieve these goals. Inservice and support must…