A central goal of lesson-centered professional development programs (PD) for mathematics teachers is to learn by constructing an artifact, for example, by designing and improving a lesson plan together. That leads to the questions, what does it mean, for mathematics teachers, to improve a lesson? And how can improvements be accounted for in the…

Objectives: This study aims to investigate the feasibility and efficacy of competency-based course (Conceptual Geometry). In addition, this paper presents the procedures of developing competency-based course which include mapping out competencies of the course, developing a set of assessment instruments (e.g., diagonal, pre-and post-unit…

Dynamic geometry environments (DGEs) provide computer-based environments to construct and manipulate geometric figures with great ease. Research has shown that DGEs has positive impact on student motivation, engagement, and achievement in mathematics learning. However, the adoption of DGEs by mathematics teachers varies substantially worldwide.…

This article provides an example of a collaborative effort between a dance specialist and four third-grade classroom teachers at an arts magnet school. They developed a dance and geometry integration project including implementation strategies, assessment tools, and reflections completed by both the classroom teacher and the third-grade students.…

This study is a literature review to investigate the effects of implementing technology into a high school mathematics classroom. Mathematics has a hierarchical structure in learning and it is essential that students get a firm understanding of mathematics early in education. Some students that miss beginning concepts may continue to struggle with…

This article is based on a study that documented the daily work practice of an eighth-grade mathematics teacher and her colleagues at a secondary school in Shanghai when they taught the unit on geometric proofs. Four interrelated work activities were identified to highlight a pedagogy around homework errors. They form an activity system…

Presented is a method of reorganizing a high school geometry course to integrate coordinate geometry together with Euclidean geometry at an earlier stage in the course, thus enabling students to prove subsequent theorems from either perspective. Several examples contrasting different proofs from both perspectives are provided. (MDH)

This textbook is a part of a four-volume experimental series dealing with basic concepts and ideas in modern mathematics. It was the wish of the authors to present material which the students would understand, rather than memorize. Professional assistance was provided by Harvard University. The material is divided into four chapters: (1) sets of…

Discusses the need to include symmetry as an important topic in the mathematics curriculum. Describes how symmetry might be developed conceptually and its relation to geometry, algebra, group theory, and physics. (JM)

Because of the pressure to increase test scores in reading and mathematics, content areas such as social studies are being eliminated from many elementary schools' curricula. It is critical that teachers find ways to integrate social studies into reading and mathematics. Social studies and mathematics may not immediately come to mind when…

The 1989 document, "Curriculum and Evaluation Standards for School Mathematics" provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…

Article suggests that the present system for teaching geometry in schools today is extremely limited and suggests a broader approach. (ML)