This discussion explored the integration of creative thinking pedagogy and the anthropological theory of didactics in university-level algebra education, emphasizing the importance of understanding the perspectives of both learners and teachers. The work began by highlighting the necessity of considering these viewpoints to create effective and…

This article analyses lesson study as a mode of professional learning, focused on the development of mathematical problem solving processes, using the lens of cultural-historical activity theory. In particular, we draw attention to two activity systems, the classroom system and the lesson-study system, and the importance of making artefacts…

This study examines primary grades teachers' instructional decisions in their mathematics classroom during their participation in a year-long professional development program on formative assessment. Teachers participated in 40 h of face-to-face workshops followed by 40 h of classroom-embedded activities that were facilitated in an asynchronous…

Teachers are continually confronted with meeting the needs of all students and preparing them to be successful on state end-of-course assessments while changing or evolving to be more of a facilitator of student-centered. Lessons are to be relevant for the students, engaging them so they are active participants in their learning. However, many…

This article presents an examination of the language demands of cognitively demanding tasks and proposes an initial framework for the language demands of higher-order mathematics thinking practices. We articulate four categories for this framework: "language of generalisation," "language of comparison," "language of proportional reasoning," and…

This article focuses on a secondary mathematics teacher education program where traditional field placements are prevalent in grades 9-12. Traditional, for this article, is defined as and comprised of: (a) straight-rowed desks in classrooms, (b) explicitly direct instruction (teacher-centered classrooms), (c) predominantly repetition of low-level…

In this article, the author discusses the use of stories from the classroom to promote development in learning and teaching through inquiry communities and the "Develop your Teaching" (Dyt) approach. Sharing classroom stories, or "anecdoting," leads to a synthesizing of issues, providing starting points for professional development activity. One…

Introduces human graphing by having students standing on certain coordinates instead of points plotted in ink. Includes teacher tips for success and possible graphing explorations. (KHR)

Describes the changes in a kindergarten teacher's thinking of what it means to teach and learn mathematics as a result of her participation in a professional development program called the InMath project. Focuses on children's mathematical thinking and characteristics of young mathematicians. (ASK)

Describes a professional development activity that offers a way for teachers to analyze their current classroom discourse practices and move toward the goal of dynamic and productive mathematical discourse. (ASK)

Discusses the development of Math Attack, a project designed to make middle school mathematics engaging, fun, and useful to middle school students by involving them in problems solving. Describes the effect of the project in helping students learn to think and communicate mathematically and helping teachers develop skill and confidence. (JPB)

This article describes a set of learning activities that use algebraic problems and written student work to help preservice and in-service teachers understand students' algebraic thinking. (Contains 4 figures.)

New software tools for data analysis provide rich opportunities for representing and understanding data. However, little research has been done on how learners use these tools to think about data, nor how that affects teaching. This paper describes several ways that learners use new software tools to deal with variability in analyzing data,…

The first volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents plenary lectures; research forums; discussion groups; working sessions; short oral communications; and posters from the meeting. Plenary lecture papers include: (1) On Humanistic Mathematics Education: A…