This article describes the ways in which the mathematics department of an urban, ethnically diverse school brought about high and equitable mathematics achievement. The teachers employed heterogeneous grouping and complex instruction, an approach designed to counter status differences in classrooms. As part of this approach teachers encouraged…

Sixth and eighth grade students who are English language learners must be able to read and interpret 39 math word problems in order to successfully calculate the answers on the Massachusetts state math assessment (MCAS). The first year that MCAS was administered, many ELL students read the questions, found them confusing, and left them blank,…

It has been five years since the chapter on relative velocity was first introduced into the Singapore Additional Mathematics curriculum. This paper reports some general findings on the teaching of relative velocity in mathematics classrooms and the pupils' learning difficulties on relative velocity. Some implications to the teaching of this topic…

An experienced mathematics teacher in a rural high school in the United States was studied as she first implemented a reform calculus curriculum. Her instruction was compared to her previous practice using a curriculum not constructed with the reform movement in mind. Despite her early attempts to make her instructions more student-centered, the…

This study investigates the effects of gender and year in program on the performance and mathematical self-efficacy beliefs of 145 pre-service mathematics teachers in Turkey. One of the main purposes of this study is to investigate how duration in a teacher education program influenced the performance and mathematical self-efficacy beliefs of…

Collaborative peer learning environments have received increasing attention in classrooms due to the potential for improving learning and achievement. Yet previous research shows that not all students benefit from the collaborative experience. This paper explores the nature of helping behavior within peer-directed small groups that may be most…

Recently, the Department of Teacher Education and the Liberal Studies Program in the School of Education at California State University, Dominguez Hills (CSUDH) collaborated in developing a Blended Liberal Studies/Teacher Education Program (BLTEP) for upper division transfer students interested in completing an elementary credential. The BLTEP…

This paper reports on a project that aimed to assist the induction of three women teachers into the practice of mathematics teaching. In their first year of teaching the three teachers were located in schools at great distances from the normal support structures for the teachers. Further, the schools consisted of student populations with wide…

This study makes use of an action research paradigm to improve primary students' analyzing skills. It was conducted at the San Esteban Elementary School, Region I, Philippines, during the 6-week off campus practice teaching of one of the researchers. Sources of data include a thinking skills checklist, a set of Curriculum Support Materials (CSM),…

This study involved an investigation of the relationship between the kinds of solution representations Chinese and U.S. students use and the sorts of pedagogical representations Chinese and U.S. teachers use during instruction. The findings suggest that the representations teachers use influence the representations their students use and, hence,…

This study examined correlations between teachers' attitudes toward mathematics/teaching mathematics and the practice of developmentally appropriate mathematics. This study tested two independent variables: (1) kindergarten teachers' attitudes toward mathematics; and (2) kindergarten teachers' attitudes toward teaching mathematics; and their…

We developed, piloted, and evaluated a successful model for integrating other disciplinary perspectives while learning a specific discipline. Faculty who taught first-year biology and mathematics courses produced examples of how these disciplines complement each other. These faculty presented students with the connecting threads that integrate…

This article describes the Field Trip Assignment, which was developed for a mathematics modeling course for prospective teachers. The objective of the assignment was to motivate students to make connections between mathematics and real-life phenomena while considering how to make those connections explicit to their future students. For the Field…

To help students understand the real-world applications of calculus, our calculus students all take part in a lab. This is not another "computer lab" but a lab where the students perform experiments and then collect and analyze the data. The students are able to verify for themselves many of physical claims that are left as theory in…

This article describes a calculus project that exposes students to the concept of retirement annuities in both the saving and withdrawal phases, via revenue streams represented by integrals. Students use modeling skills to solve several related problems as the assumptions of the original problem are changed, and the project requires them to use a…