Research on professional development has focused on elementary school teachers. This study is part of a larger study that investigates professional development strategies that support the growth of secondary teachers. Findings indicate that secondary teachers may need experiences that challenge them to re-examine their knowledge and identity…

This paper describes a design research study with ten second-grade students who are part of the Measure Up (MU) research and development project underway at the University of Hawai'i. Students were asked how they counted in multiple bases, specifically how they knew when to go to a new place value and why it was necessary to do so. All ten…

Measure Up is a research and development project that uses findings from Davydov (1975) and others to introduce mathematics through measurement and algebra in grades 1-3. This paper illustrates the use of generalized diagrams and symbols in solving word problems for a group of 10 children selected from a grade 3 Measure Up classroom. Students use…

Because cognition is the core substance of understanding and sense making, cognition-based assessment is essential for understanding and monitoring students' development of powerful mathematical thinking. The Cognition-Based Assessment System (CBAS) project is applying the results, theories, and methods of modern research in mathematics education…

A methodological approach that emerged during the design of task-specific research rubrics to code large sets of open-ended survey data fills the void in scholarship about developing rubrics for research purposes. A brief rationale for using this method rather than other, often-used, data analysis methods is provided, with a description of the…

In recent years metacognition has been receiving increased attention in mathematics education. Special attention has been focused on metacognition and its essential role in achievement settings. The basic difficulty of the study on the field of metacognition is to develop and use valid tasks in order to measure metacognitive ability especially for…

In a development and research project over a period of three years, with classes 8 to 10 in school, the aim was to develop students' competence to use computer tools. The aim was that the students should be able to judge what ICT tools are appropriate to use for a specific task. Seven classes with six teachers took part in the project. In a…

The complexity of mathematics teaching involving both cognitive and sociosystemic factors makes development problematic. Examples from research into teaching reveal factors in complexity and ways in which inquiry between teachers and didacticians can foster deeper ways of knowing in the developmental community. Research is seen as the basis of an…

This research report builds on the results of the CATCH project (Webb and Dekker, 2002). The CATCH project is an effort to apply and scale up previous results and design a professional development program to bring about fundamental changes in teachers' instruction to support change in teachers' formative assessment practices. In this report we…

In this research report we share results of a study of an adaptation of Lesson Study, a form of professional development typically used in Japanese elementary schools, with secondary mathematics teachers in the United States. We draw on Wenger's (1998) concept of "communities of practice" and Grossman, Wineberg, and Woolworth's (2001)…

Yrjo Engestrom (2001) asserts that contradictions in an activity system create potential for change and development. In this report a large research project aimed at developing mathematics teaching and learning is described and it is shown how Activity Theory can be applied to support understanding and progress. The project is producing evidence…

Mathematical norms are important cultural knowledge of mathematical activities. This paper reports an analysis of mathematical norms in ten consecutive lessons taught by an eighth-grade Japanese teacher. The lessons were located in the unit of simultaneous linear equations. The videotapes of the lessons, their transcripts, and the interview data…

The object of this paper is to present and analyze some observations of the language children in 1st grade (6-7 years old) use when they talk about geometrical objects. The observations are made during a number of encounters with the pupils during one year. The work is part of an ongoing collaboration project between a university college and a…

In this paper I will present the rationale that motivates the study in an ongoing three-year project following students in school years 8 to 10. The aim is to develop the students' competence with use of ICT tools in mathematics in such a way that they will be able to choose tools for themselves, not rely just on the teacher telling them what to…

This paper explores the Counting development of Australian children participating in the Early Numeracy Research Project (ENRP) who were identified as low-attaining using an individually administered assessment interview and a research informed framework of growth-points. The progress of Grade 1 and Grade 2 children who participated in an…