Described are ways in which some teachers have used a software package called "The Geometric Supposer." The development of inquiry skills is stressed. Recommendations for students using the Supposer are provided. (CW)

This paper is concerned with pupils' learning of the concept of variable in the LOGO programing environment and how this relates to teaching. Results from three research projects are described and compared in a discussion of how improvements in learning have been influenced by a refinement in teaching method. (Contains 21 references.) (Author/MDH)

Documented differences in frequency and type of mathematical explanations during lessons in U.S., Taiwanese, and Japanese first- and fifth-grade classrooms. Found that explanations occurred more frequently in Japanese and Taiwanese classrooms than in U.S. classrooms. Typical explanations in Asian classrooms were more substantive than in U.S.…

This article reviews the revised KeyMath Revised-Normative Update American and Canadian editions, and a draft version of the 1999 pending revision. The assessment instrument is intended to test basic mathematical concepts, operations, and applications of students in grades K-12. Its administration, standardization, reliability, and validity are…

The purpose of the study reported in this article was to explore the mathematical discourse in which four dyads engaged while sharing the storybook "One Snowy Night" (Butterworth, 1989) while at home or in other locations (e.g., day care centers). Each dyad consisted of a mother and her four-year-old child. Various discourse patterns were evident,…

Senior secondary mathematics students could justifiably question the relevance of subject matter they are being required to understand. One response to this is to place the learning experience within a context that clearly demonstrates a non-trivial application of the material, and which thereby provides a definite purpose for the mathematical…

Using symbolic algebra to represent and solve linear equations is one of the expectations within the "Algebra" content standard for the 6-8-grade band in the National Council of Teachers of Mathematics (NCTM) "Principles and Standards for School Mathematics" (2000). Students' understanding of these concepts, even before a formal algebra course,…

This paper offers for discussion and critique a conceptual framework that applies a situative perspective on learning to the study of learning to teach mathematics. From this perspective, such learning occurs in many different situations--mathematics and teacher preparation courses, pre-service field experiences, and schools of employment. By…

Little is known about the provision of statistics teaching for PhD students in UK medical schools. A recent survey found that statistics courses were available to PhD students in 13 of 21 schools responding. The provision across these 13 schools was variable in terms of contact hours and content. At a meeting of 27 medical statistics teachers,…

While other research has begun to contribute to our understanding of how pre-college students reason about variation, little has been published regarding pre-service teachers' statistical conceptions. This paper summarizes a framework useful in examining elementary pre-service teachers' conceptions of variation, and investigates the question of…

Meeting the needs of mathematically talented elementary students has always been a real challenge due to the lack of appropriate curricular resources and training for teachers. Mathematics is not generally a strength area for elementary or gifted/talented teachers; rather, their talents and interests often lie in the language arts realm. This is…

As universities strive to produce the best mathematics teachers possible through both graduate and undergraduate programs, teacher educators must constantly work towards helping teacher candidates create their own conceptual understanding of mathematics. This pilot study examined the effect teaching in a constructivist manner had on teacher…

In this investigation I focused on a process of activities of a particular group of teachers and learners. Basic skills in mastering mathematical concepts were addressed. The focus was on concept formation in the geometry classroom. The methodology involved an educational case study as a form of inquiry to investigate spatial sense. Evidence was…

"Saxon Elementary School Math," published by Harcourt Achieve, is a core curriculum for students in kindergarten through grade 5. A distinguishing feature of "Saxon Elementary School Math" is its use of a distributed approach, as opposed to a chapter-based approach, for instruction and assessment. The program is built on the…

This study examined factors that teachers say determine whether they modify new information about mathematics, mathematics learning, and mathematics teaching to fit their existing conceptions or whether they restructure their existing conceptions. Three female teachers (two sixth grade and one fifth grade) from a rural, public school participated…