Reports a case study in which a first-grade teacher's instructional decisions were affected by the pedagogical content knowledge concerning problem solving received during a four-week summer workshop on teacher's beliefs about teaching in conjunction with the teacher's beliefs that students can solve any problem they are given. (MDH)

Preservice elementary teachers were videotaped teaching three self-designed micro-teaching lessons to their peers, and the videotapes were rated by elementary mathematics-methods instructors. Mathematics methods course quiz average, mathematics anxiety score, and spatial ability were investigated as potential predictors of videotape ratings.…

Examined the individual characteristics and high school departments of mathematics and English teachers who did or did not adapt instruction for diverse students. Data from case studies and surveys revealed different patterns of goals, beliefs, and conceptions of subject matter and students characteristic of teachers who did and did not adapt.…

Examined the perceptions of preservice elementary teachers enrolled in reading, mathematics, and integrating reading and mathematics methods courses about integrating mathematics, reading, and writing instruction at the elementary/middle school level. Surveys indicated that all students were generally positive about instructional integration. They…

Addresses some concerns about teaching and learning geometry by describing how The Geometer's Sketchpad software program allows for the implementation of many of the recommendations from the National Council of Teachers of Mathematics (NCTM) in the mathematics classroom. Explains the types of activities that can be used with the software and…

Fourth, sixth, and eighth graders and adults estimated answers to multiplication problems and explained their estimation procedures. Found performance improved with age, and sixth graders understood the simplification principle in estimation. The most striking developmental changes were in conceptual knowledge used for estimating. Proposes a…

Middle school teachers can integrate math and language skills with an innovative project that puts math on display. The "Math Museum" has students visit exhibits (colorfully illustrated math problems) in pairs, then discuss ways to approach and solve each problem on display. (SM)

Describes a pilot project incorporating extensive use of computers in mathematics instruction. Test scores and homework from this group were compared with a group that did not use computers. Results were inconclusive and only revealed a shortage of appropriate instructional software. (MJP)

Describes the underlying philosophical and cultural changes associated with classroom organizational changes in one eighth-grade teacher's attempts to implement National Council of Teachers of Mathematics standards. Observations and interviews indicated that there were two distinct cultures ("book world" and organic or…

The Third International Mathematics and Science Study Video Study of Teaching compared teacher development systems in the U.S., Japan, and Germany. Findings indicated that many American teachers believe they are changing the way they teach while they retain traditional practices. A research and development system was proposed for improving…

Recommends that teachers prompt intellectual preparation of adolescents by asking intriguing questions, presenting captivating tasks, opening compelling investigations, or assigning appealing roles. Discusses discipline-based inquiry by young students in science, mathematics, social studies, English, and the fine arts. Challenges teachers to…

This article describes a way to provide systematic connections between mathematics and science for students with disabilities through hands-on lessons, word problems, and opportunities for problem-solving. Sample units are presented that integrate science and mathematics at the K-8 level and explore interrelationships among multiplication and…

A week-long camp for rural Alaska Native seventh- and eighth-grade students uses science teachers, Native elders, and Native college students to conduct project-based classes that link Western science and math with traditional Native applications of practical skills. Pre- and post-interviews with students indicate a positive impact on classroom…

Thinking Together is a project that began at the Open University in the mid 1990s and grew out of research that showed that children benefit from explicit instruction on how to talk in groups. Its fundamental premise is that the ability to communicate effectively is a key skill that lies at the heart of educational success. A crucial goal arising…

Currently, the teaching of retake GCSE mathematics in further education is predominantly teacher-centred and transmission-oriented. This paper argues that this approach is ineffective for students' learning and for their attitudes towards learning and that a student-centred, collaborative approach to learning, where discussion and reflection are…