This paper reports how metaphor theory was used to explore pre-service mathematics teachers' beliefs about mathematics and the learning and teaching thereof. Furthermore, it outlines how this theory was mobilised to engender self-critique and professional development with these teachers. The core of the paper reports findings from an analysis of…

This article describes the experiences of two US teacher groups and their lesson study work. Their stories illustrate some of the dynamics and promise of teacher change spurred by lesson study. The first case is primarily about teacher efficacy, as a group of teachers discover through lesson study that their planning and work can have an impact on…

Classroom communication figures prominently in current math reform efforts. In this study, we analyze how one teacher used writing to support communication in a seventh-grade, low-track mathematics class. For one school year, we studied four low-achieving students in the class. Students wrote in journals on a weekly basis. Using classroom…

This study examined how one type of student work habit classroom participation is related to a combination of both student factors (math achievement, personal achievement goals, perceptions of classroom goal structures, and teacher support) and features of the classroom context (teachers' instructional practices, average perceptions of classroom…

We present a new highly interactive computer animation tool to increase the mathematical skills of deaf children. We aim at increasing the effectiveness of (hearing) parents in teaching arithmetic to their deaf children, and the opportunity of deaf children to learn arithmetic via interactive media. Using state-of-the-art computer animation…

The present study compared the relative effects of 2 educational programs on kindergarten children. The experimental group took part in a numeracy-specific program, which focused on conceptual knowledge. Children were taught basic numerical skills such as understanding and handling numbers and their relations as well as counting principles. The…

In this paper we discuss a variety of writing, reading and assessment techniques used in an elementary problem-solving class for pre-service K-8 teachers at Western Oregon University. We share our experience in teaching problem-solving strategies through selection and creation of quality word problems, problem-solving assessment and the Oregon…

Brownian motion is an important stochastic process used in modelling the random evolution of stock prices. In their 1973 seminal paper--which led to the awarding of the 1997 Nobel prize in Economic Sciences--Fischer Black and Myron Scholes assumed that the random stock price process is described (i.e., generated) by Brownian motion. Despite its…

Many students are unsuccessful in the study of school mathematics, not because of some innate ability, but because of pedagogical practices. Bernstein (1996) has argued that pedagogy serves as a mechanism for cultural reproduction, so that for those students whose cultures are different from that represented in and through pedagogy, the task of…

One theoretical framework which addresses students' conceptions and reasoning processes in mathematics and science education is the intuitive rules theory. According to this theory, students' reasoning is affected by intuitive rules when they solve a wide variety of conceptually non-related mathematical and scientific tasks that share some common…

Courses below calculus need to be refocused to emphasise conceptual understanding and realistic applications via mathematical modelling rather than an overarching focus on developing algebraic skills that may be needed for calculus. Without understanding the concepts, students will not be able to transfer the mathematics to new situations or to…

The subject of q-calculus is a rich source of learning activities that address concept formation, exploration, variation, rich training and proof. This paper is a survey of the subject that shows how high school students using a computer algebra system can explore the field and prove some results. (Contains 7 figures.)

The new representations enabled by the educational computer game the "Juggler" can place vectors in a central role both for controlling and measuring the behaviours of objects in a virtual environment simulating motion in three-dimensional spaces. The mathematical meanings constructed by 13 year-old students in relation to vectors as…

This paper reports on a design experiment in the domain of number sequences conducted in the course of the "WebLabs" project. We iteratively designed and tested a set of activities and tools in which 10-14 year old students used the "ToonTalk" programming environment to construct models of sequences and series, and then shared…

The purpose of this study was to assess how well the ASSET, COMPASS, and in-house readiness tests actually do in their placement of students into the algebra developmental courses. Specifically, the author collected and analyzed student data from these placement tools and the core final exams for MTH 03 and MTH 04 to determine how well these…