In a descriptive study of 103 grade 1 children, including 16 longitudinal case studies, we investigated the use of mathematical structure across a range of mathematical tasks. Children's structural development was inferred from their imagistic representations, supported by analysis of problem-solving behavior during videotaped task-based clinical…

How do students who are learning English as an additional language (EAL) participate in classroom mathematics? To investigate this question, I collected recordings of primary school EAL students as they worked with peers on a mathematics classroom task. Drawing on theoretical and methodological work in discursive psychology (Edwards, 1997), I…

I present a theoretical distinction that may prove useful in conceptualizing mathematics teacher education (and graduate education) and research on mathematics teacher education. Further, the distinction can contribute to developing frameworks on the design of mathematics curricula. The distinction between empirical activity and…

Women and mathematics have been thought of as two totally separate subjects for decades. In July, 1994 a group of mathematicians from around the country gathered in Berkeley, CA for three days to discuss ways to increase the representation of women in Ph.D. programs in the mathematical sciences. The primary goal of this conference was to broaden…

Mathematics software can be a great aid in understanding difficult mathematics concepts at all levels. This paper presents nine exercises on calculus concepts by using different software used in mathematics education. Each exercise includes instruction on how to use software in order to highlight a specific concept in mathematics. This paper also…

The second volume of this proceedings contains full research articles. Papers include: (1) "Lave and Wenger's social practice theory and teaching and learning school mathematics" (J. Adler); (2) "Being a researcher and being a teacher" (J. Ainley); (3) "Procedural and conceptual aspects of standard algorithms in…

The third volume of this proceedings contains full research articles. Papers include: (1) "A longitudinal study of children's fraction representations and problem-solving behavior" (G.A. Goldin and C.B. Passantino); (2) "Psychology students' conceptions of a statistics course" (S. Gordon, J. Nicholas, and K. Crawford); (3)…

The fourth volume of this proceedings contains full research articles. Papers include: (1) "Conceptual and procedural approaches to problem-solving" (Y. Mohammad-Yusof and D. Tall); (2)"Teaching differential equations to chemistry and biology students: An overview on methodology of qualitative research. A case study" (M. Moreno and C. Azcarate);…

There is a popular view that arithmetic is only a collection of dull algorithms containing no interesting ideas. However, if one goes a little below the surface, it will become apparent that there are many fascinating ideas waiting to be discovered. The paper tries to show that mathematical ideas can be recognized and understood without the use of…

We have established an environment for German-Japanese school education projects using real time interactive audio-visual distance learning between remote classrooms. In periods of 8-12 weeks, two classes are dealing with the same subject matter, exchanging materials and results via e-mail and Internet. At 3 or 4 occasions the classes met on…

Examples are given of the variety of mathematical concepts and problems being studied by psychologically oriented researchers in France. Work on decimals, circles, natural numbers, decimal and real numbers, and didactic transposition are included. Comments on designing research on mathematics concept formation conclude the article. (MNS)

Use of the hand-dialed, transparent, nonelectronic SEE-Calculator is proposed. Pupils can dial numbers into appropriate columns, watching the gears work; place-value concepts are enhanced. Both activities and flowcharting are suggested. (MNS)

Describes research on an adaptation approach designed to extend the aptitude treatment interaction (ATI) concept by applying instructional variations to individuals as opposed to groups within the context of an introductory mathematics lesson adapted from the beginning module in an undergraduate statistics course. A 17-item reference list is…

Four games and documentation in a computer assisted mathematics program (Applesoft Basic) are reviewed. Although the games do not teach mathematical concepts, they do serve to reinforce concepts/skills students already possess. The intended audience is elementary/junior high school students, but the programs could be used for mathematics…