Answers Burn's question related to a previous study on the nature of knowledge about abstract algebra. Claims that a previous paper presents research that attempts to contribute to knowledge of how students' understanding of certain group concepts may develop instead of teaching abstract algebra with the computer software ISETL. (ASK)

Discusses the possibility of the development of the content and form of mathematical education as a tool of democratization in both school and society. Summarizes the social argument and the pedagogical argument of democratization. Analyzes the concept "democratic competence" to create materials at the same time open and empowering. (Author/YP)

Describes the new development of mathematics education in the Peoples Republic of China. Explains changes that happened in the National Curriculum, teaching research, and the progress of our pupils. (Author)

An educated citizenry is essential to China's modernization and has led to the national goal of nine years of compulsory education for all students by the year 2000. Identified and discussed are four critical areas of concern in mathematics education: educational theory, technology, instruction, and assessment of teaching. (Author/MDH)

Beginning geometry students misunderstand the requirements of formal proof because of confusion between deductive reasoning and argumentation. Presented is a cognitive analysis of deductive organization versus argumentative organization of reasoning and the applications of this analysis to learning. Implications of a study analyzing students'…

Presents a process model developed for interaction and mathematical level raising focusing on the individual learning process and relates this model to research. The model is meant to show how level raising can be realized by allowing students to work in small groups on a mathematical problem. Contains 24 references. (Author/ASK)

Adopts a sociocultural perspective to investigate the role of discourse in children and teacher mathematical meaning making in a 5th grade inquiry classroom. Examines the process whereby individual and group developmental trajectories are constructed and allows exploration of the relationship between discourse and knowing. Argues for a more…

Discusses the features of East Asian mathematics education and its underlying values in contrast to features and values in the West. Presented in terms of six dichotomies: (1) product versus process; (2) rote learning versus meaningful learning; (3) studying hard versus pleasurable learning; (4) extrinsic versus intrinsic motivations; (5) whole…

Honors the contribution of Efraim Fischbein to the study and analysis of probabilistic thinking. Summarizes Fischbein's early work, then focuses on the role of intuition in mathematical and scientific thinking; the development of probabilistic thinking; and the influence of instruction on that development. (Author/MM)

Describes the recent evolution of Portuguese basic education in which the concept of competence and the process of curriculum development became major aspects of an innovative movement at a national level. Describes the context and explores the concept of competence, and presents a formulation for the characteristics of mathematical competence for…

Explores the role of proof in mathematics education and provides justification for its importance in the curriculum. Discusses three applications of dynamic geometry software--heuristics, exploration, and visualization--as tools in the teaching of proof and as potential challenges to the importance of proof. (Author/MM)