This study examined effects of gamified comparison on sixth graders' performance of algebra word problem solving and attitude toward algebra learning. Seventy-two sixth graders were invited to participate in a four-week experimental instruction and assigned to three groups: gamified comparison, comparison, and control. The results showed (1) a…

Research demonstrates a disjuncture between the practices encouraged by teacher education programs and what teachers actually do in the classroom. It also informs us that the cognitive and social characteristics of individual teachers such as their attitudes, beliefs and knowledge contribute to their classroom practices. This qualitative study…

The recent introduction of statistics into the Brazilian curriculum has presented a multi-problematic situation for teacher professional development. Drawing on research in the areas of teacher development and statistical inquiry, we propose a Teacher Professional Development Cycle (TPDC) model. This paper focuses on two teachers who planned a…

How do instructors guide students to discover mathematical content? Are current explanatory models of pedagogical practice suitable to capture pragmatic essentials of discovery-based instruction? We examined videographed data from the implementation of a natural user interface design for proportions, so as to determine one constructivist tutor's…

Most mathematics anxiety has its roots in the teaching and teachers of mathematics. Because people generally are not math anxious before going to school, an examination of the previous statement proves to be well founded. This article reviews the literature and discusses different ways that teachers may help to prevent their students from becoming…

Discusses, analyzes, and provides anecdotes about the calculus reform movement, in general, and the experimental, undergraduate calculus classes at Duke University, in particular. (JJK)

Holds that virtually all children possess informal abilities required for school success and that most problems in school mathematics stem from social, personality, or educational factors. Describes children's informal mathematical thinking, presents clinical observations, and discusses implications for instruction of children experiencing…

The Smith Report has generated central questions about the mathematics education of UK adolescents. This paper highlights the close match between the goals of school mathematics, adolescence and exploratory pedagogy. This is contrasted with the prescriptive nature of current regimes. In particular, without careful attention to pedagogy it is…

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)

Interview with neuropsychologist Brain Butterworth about what research has revealed about how the brain learns abstract concepts such as mathematics and the implications of these findings for teaching mathematics. (PKP)

The purpose of this report is twofold. The first is to deliver an accurate portrayal of students' achievement in geometry and measurement as gleaned from the results of the 1986 Massachusetts Educational Assessment Program (MEAP). The second is to provide K-12 teachers of mathematics with activities that have proven to be helpful in encouraging…

Details the planning and the outcomes for an undergraduate seminar course that introduced students to journal articles and graduate level texts pertaining to theoretical computer science. Included are useful guides for students that provide basic techniques for reading mathematical papers, and that lead students through the process of generating…

This document contains 22 papers presented at an international congress on mathematical education. An introductory report describes the work of the theme group, "Mathematics for All," motivated by the move to universal elementary education in developing countries, the move to universal secondary education in industrialized countries, and…

This paper addresses the demands for change in the teaching and learning of mathematics in the schools of America. Many of the demands stem from the way rapid changes in information technology have altered our economic and social culture. In particular, these technological changes have changed both mathematics and its applications. Given these…

Discusses students' preconceptions of randomness and offers an alternative way to think about the concept using the idea of complexity. That is, the randomness of a sequence can be measured by the difficulty of encoding it. Methods of judging complexity and implications for teaching are discussed. (Contains 30 references.) (MKR)