In this research we examined and assessed the impact of implementation of a model using authentic investigative activities for teaching ratio and proportion in pre-service teacher education. The model was developed following pilot studies investigating the change in mathematical and pedagogical knowledge of pre- and inservice mathematics teachers…

This paper reports on teachers' views of the effects of compulsory numeracy testing in Years 3, 5, and 7 in Queensland schools. Teachers were surveyed on (i) the validity and worth of the tests, (ii) the impact the tests had on their teaching of mathematics, and (iii) how they were using the results of the tests. Although the results reveal a…

Proof by mathematical induction is known to be conceptually difficult for high school students. This paper presents results from interviews with six experienced high school teachers, concerning the use of models in teaching mathematical induction. Along with creative and adequate use of models, we found explanations, models and examples that…

In this theoretical essay the psychological aspects of genetic approach to teaching mathematics (mainly at universities) are discussed. Analysis of the history and modern state of genetic teaching shows that its psychological aspects may be explained using both Vygotskian and Piagetian frameworks. Experience of practice of mathematical education…

This study was designed to supporting teachers on developing teaching norms based on classroom-learning community in which students are willing to engage in discourse. A collaborative team consisting of the researcher and four second-grade teachers were set up. The collaborative community intended to generate norms of acceptable or appropriate…

The Purposeful Algebraic Activity project aims to explore the potential of spreadsheets in the introduction to algebra and algebraic thinking. We discuss two sub-themes within the project: tracing the development of pupils' construction of meaning for variable from arithmetic-based activity, through use of spreadsheets, and into formal algebra,…

The Purposeful Algebraic Activity Project is a longitudinal study of the development of pupils' algebraic activity in the early years of their secondary schooling. Analysis of data from a spreadsheet-based teaching programme and from semi-structured interviews leads us to identify three features of the spreadsheet environment that appear to shape…

Our study concerns the analysis of teacher and student activities. Secondary school 6th grade students were confronted, for the first time, with solving equations. We used our cognitive models of students and experts (in algebraic calculations) for analyzing the teaching process and the cognitive functioning of students. Our model led us to…

The purpose of this report is to investigate the range of student responses in three domains--hypothesizing, organizing data, and algebraic generalization of patterns during their work on a spreadsheet-based activity. In a wider context, we attempted to investigate students' utilization schemes of spreadsheets in their learning of introductory…

The Third International Mathematics and Science Study (TIMSS) 1999 Video Study is a follow-up and expansion of the TIMSS 1995 Video Study of mathematics teaching. Larger and more ambitious than the first, the 1999 study investigated eighth-grade science teaching as well as mathematics teaching, expanded the number of countries, and included…

This report summarizes findings of current research supported by the Office of Special Education Programs on effective mathematics instruction for students with disabilities. The first brief article notes that most special education teachers do not have sufficient knowledge about the National Council of Teachers of Mathematics Standards and this…

Algebra is one of the top priorities of mathematics instruction for the elementary and middle grades. This book is designed to help 6-8 teachers meet the challenge of making algebra an integral part of their mathematics instruction and realize both what to teach and how to teach central algebraic concepts. Classroom-tested lessons help teachers…

Algebra is one of the top priorities of mathematics instruction for the elementary and middle grades. This book is designed to help 3-5 teachers meet the challenge of making algebra an integral part of their mathematics instruction and realize both what to teach and how to teach central algebraic concepts. Classroom-tested lessons help teachers…

The 51st meeting of the Commission Internationale pour L'Etude et L'Amelioration de L'Ensignment des Mathematiques (CIEAEM) was held July, 1999 at Chichester, UK and facilitated the collaboration of delegates from over 30 countries providing a variety of perspectives on the theme OCultural Diversity in Mathematics Education'. The papers in this…

Teaching Adult Students Mathematical Investigation is based on the continuing research work carried out for the last ten years of teaching on the Foundation Course in Mathematics at Goldsmiths, University of London. Teaching Mathematical Investigation to adult students is a very challenging and often rewarding experience for adult educators as…