Our primary purpose in this article is to propose an interpretive scheme for analyzing the identities that students develop in mathematics classrooms that can inform instructional design and teaching. We first introduce the key constructs of normative identity and personal identity, and then illustrate how they can be used to conduct empirical…

This paper outlines the solution that the Team of Austria found to problem number 7, "skateboarder", presented in the finals of the 22nd International Young Physicists' Tournament (IYPT) in Tianjin, China. We investigated how a skateboarder can accelerate from rest on a horizontal surface without touching an external support. The focus was laid on…

How does classroom interaction support students' apprenticeship into the ways of speaking, writing, and diagramming that constitute the practice of mathematics? We address this problem through an interpretative analysis of a whole-group conversation about alternative ways of solving a problem involving percent discounts that occurred in a sixth…

This article presents an English for Specific Purposes (ESP) task developed for teaching aeronautical engineering students. The task Design-Build-Write rests on the assumption that engineering students are skilled at mathematical reasoning, problem solving, drawing and constructing. In Gardner's 1983 Multiple Intelligences (MI) theory, these…

This dissertation is a case study focused on the question, "What are students' attitudes toward school mathematics and toward nonroutine math problems and mathematical games?" It addresses the definitions of some of those terms and then moves on to a literature review that suggests that some change in the curriculum may be needed. In an attempt to…

Curiosity is an important construct for educators as it is connected with knowledge and higher-order thinking, goal-oriented behavior, motivation, and persistence. It is also negatively correlated with boredom and anxiety. While research documents this strong connection between learning and curiosity, no studies existed exploring curiosity in a…

The author presents the science and engineering practices from the recently released "A Framework for K-12 Science Education: Practices, Crosscutting Concepts, and Core Ideas." He recognizes the changes implied by the new framework, and eventually a new generation of science education standards will present new perspectives for the science…

In this article, pre-service teachers' mathematics content knowledge is explored through the analysis of two items about ratio from a Mathematical Competency, Skills and Knowledge Test. Pre-service teachers' thinking strategies, common errors and misconceptions in their responses are presented and discussed. Of particular interest was the range…

James Clerk Maxwell "translated" Michael Faraday's experimentally-based field theory into the mathematical representation now known as "Maxwell's Equations." Working with a variety of mathematical representations and physical models Maxwell extended the reach of Faraday's theory and brought it into consistency with other…

Being told procedures and concepts before problem solving can inadvertently undermine the learning of deep structures in physics. If students do not learn the underlying structure of physical phenomena, they will exhibit poor transfer. Two studies on teaching physics to adolescents compared the effects of "telling" students before and after…

This study investigated the effects of cognitive strategy instruction on the mathematical problem solving of three adolescents with spina bifida. Conditions of the multiple-baseline across-individuals design included baseline, two levels of treatment, posttesting, and maintenance. Treatment 1 focused on one-step math problems, and Treatment 2…

How can a teacher use the practice of reflection to create rich mathematical learning environments that are engaging to students? In such environments, one can hear and see a seamless integration of Problem Solving, Reasoning and Proof, Communication, making mathematical Connections, and Representation (the NCTM Process Standards) through Number…

Student activities focused on discovering mathematics play an important role in the teaching and learning process. WebMathematics Interactive (WMI2) was developed to offer a fast and user-friendly on-line web interface to enhance the quality of both theoretical and applied mathematics courses. For the teacher, in the classroom, it provides…

Children must develop reading, writing, speaking, and listening skills because those skills are required for success in any discipline. Consequently, in their mathematical development students need to be able to read, write, speak and listen in mathematical terms. Research indicates that children's literature provides a means to promote such…

This article describes the journey that one elementary school took in examining the roles and responsibilities of the principal, teachers, students, and school environment in supporting mathematical understanding as described by the NCTM Standards. (Contains 2 tables and a bibliography.)