This study was conducted among 269 student teachers at 11 primary teacher training colleges in the Netherlands. To investigate their competence in integrating theory and practice in their reflections on mathematics teaching, a learning environment was designed to evoke theory use in reflections on practice. To be able to systematically describe…

This article presents data gathered from an investigation which focused on the experiences children have with measurement in the early years of schooling. The focus of this article is children's understandings of length at this early stage. 32 children aged 4-6 years at an Australian primary school were asked to draw a ruler and describe their…

A model for processes of abstraction, based on epistemic actions, has been proposed elsewhere. Here we apply this model to processes in which groups of individual students construct shared knowledge and consolidate it. The data emphasizes the interactive flow of knowledge from one student to the others in the group, until they reach a shared…

Investigated relationship between students' classroom experiences and how they construct mathematical meanings. Suggests that students determine meaning or correctness of mathematical activity according to teacher, intuition, familiarity, and procedural knowledge. The teacher emerged as playing the most valued role in sense making and ratifying of…

Describes a study that investigates the subtraction skills of primary students (N=65) in two schools. Students solve tasks and explain procedures and their teachers are interviewed to determine their objectives and strategies. Contains 41 references. (DDR)

Examines the performance of deaf and hearing-impaired students in Queensland, Australia when solving arithmetic word problems. Subjects' solutions of word problems confirmed trends for learning students but their performance was delayed in comparison. Confirms other studies in which deaf and hearing-impaired students are delayed in their language…

Interviews with (n=55) children and their teachers in years one, two, and three showed a closer association between knowledge of place value and levels of counting than between levels of counting and the ability to explain the counting sequence. (13 references) (MKR)

Describes the process through which four high-achieving second graders constructed their knowledge and misconceptions of rounding concepts gained from using computer-based practice sessions which provided full solutions to examples but without verbal explanations. (31 references) (MKR)

Reports the performance of grade six students in the Australian Primary Schools Mathematics Competition for 1990 to 1992 and provides general comparisons across states. Results showed that, overall, boys outperformed girls. Appendix contains selected competition questions. (MKR)

Written descriptions by students in grades 3-7 (n=274) of common 2-dimensional geometric shapes were examined to compare the level descriptors of the van Hiele Theory and the SOLO Taxonomy. Results indicate that descriptors associated with the SOLO Taxonomy more accurately describe the quality of student thinking. (MDH)

Recent immigrants to Australia from non-English-speaking countries have experienced difficulties in mathematics methods courses. Reports survey results on how these students perceive their problems and how they think courses could be adapted to meet their needs. (MDH)

Error frequency and language competence of bilingual grade 6 students were analyzed to determine the effect of language comprehension in errors made in solving mathematical word problems. Results provide support for the linkage of comprehension errors to measures of language competency. (29 references) (MDH)

Examined the quality of responses of six classes of grade six students to four questions requiring multiple and generalized solutions posed under varying conditions. Results indicated that this type of question can be useful in classrooms because students can respond at a variety of levels. (13 references) (MDH)

Examined the problem-solving strategies of above average students (n=42) in grades 2-4 on problems involving forgotten or new material while practicing arithmetic with a computer. Identified the different problem-solving strategies used, sorted them into categories, and illustrated them with examples from students' protocols. Made suggestions for…

Parents (n=148) and their children, ages 9 and 10, were brought together to participate in a Family Math program in Ontario. This program helped promote positive attitudes toward mathematics in parents and children and increased parents' understanding of current methods of teaching mathematics. (MKR)