Many students find the leap from arithmetic to algebra a difficult one to make, and current literature suggests that a number of the common misconceptions held by students arise as a result of the methods which teachers use to present algebra. The abstract nature of algebra makes it difficult for students to grasp; students also struggle with the…

This study examined the structure of two preservice teachers' understandings of educational software in mathematics using repertory grid techniques. Specifically, the study focused on how teacher educators can enable preservice teachers to discern the features of mathematics software, and develop pedagogical goals that reflect the affordances and…

The authors describe a journey of self-study during which one author shifted from traditional, teacher-driven approaches to a more problem-based inquiry approach to teaching mathematics. He videotaped a series of lessons taught to sixth-grade students over a semester and analyzed his teaching during discussions with his mentor at the university.…

Mathematics in textbooks and indeed in conventional classrooms is often presented as exercises or worksheets in which the mathematics itself has been processed into a form that is easily digested. This McDonald's version of mathematics ensures that the mathematical skill or technique is laid bare and typically the sole focus of attention. In this…

In this article, students learn math through boat-building and navigation, music through sea-shanty-singing, literature and history through the study of nautically themed writings, and physical education by rowing traditional dories at Sound School Regional Vocational Aquaculture Center. The school also teaches plenty of modern chemistry,…

To help students grasp the intimate connections that exist between mathematics and its applications in other disciplines a library of interactive learning modules was developed. This library covers the mathematical areas normally studied by undergraduate students and is used in science courses at all levels. Moreover, the library is designed not…

Mathematics teacher education programs are designed with an intention, explicit or implicit, to produce graduates who are competent in both pedagogic knowledge and discipline knowledge. This paper explores students' experiences in coming to learn mathematics and mathematics education. Using an example from a quiz question, supplemented with…

Schematic models have been used extensively in educational research to represent relationships between variables diagrammatically, including the interrelationships between factors associated with teachers' beliefs and practices. A review of such models informed the development of a new model that was used to plan an investigation into primary…

Little is known about the feasibility and rapidity with which the academic learning of students who enter high school multiple years behind grade level can be accelerated. This study uses multiple regression analyses of standardized test and survey data from high-poverty high schools in two large urban districts to evaluate initial effects of the…

This article describes the experiences gained from a seminar in the teaching of mathematical reasoning and problem solving designed to prepare in-service high school mathematics teachers to teach genuine mathematical activity in a computer-based environment. Presented with a set of unfamiliar tasks and activities, the participants were encouraged…

This article describes how a three-week module was inserted into an elementary mathematics methods course in order to demonstrate coteaching models for preservice teachers and to provide preservice teachers with instructional strategies for special needs students.

Preservice elementary school teachers' fragmented understanding of mathematics is widely documented in the research literature. Their understanding of division by 0 is no exception. This article reports on two teacher education tasks and experiences designed to challenge and extend preservice teachers' understanding of division by 0. These tasks…

Late in 2007 New Visions for Public Schools, a New York City reform organization, received a grant from the C.S. Mott Foundation to organize select high schools and community partners into delivery systems that could improve student achievement. New Visions asked Policy Studies Associates, Inc. to provide research support for this effort in the…

This paper provides a brief understanding of the educational technology in the teaching and learning of mathematics to Form Two students (equivalent to the eighth-graders) in Malaysia. In particular, it attempts to understand the relationships between educational technology and mathematics achievement in both the urban and rural schools. The study…

Based on positive results from a previous evaluation of a summer learning intervention, the current report describes the specific elements of the successful program so it can be replicated, and investigates potential barriers to implementation and replication. The study estimated impacts of the program overall; the authors could not identify which…