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…

A within-subjects design was used to compare two instructional methods--explicit timing and interspersing--with 187 second-grade students. Students completed two mathematics word problem assignments under differing conditions. In the explicit timing condition, students were told they would be timed while working long mathematics word problems. In…

This article presents essential principles for mathematics instruction for students with disabilities and those who are at risk for school failure. These students have great difficulty in applying algorithmic knowledge to solve problems and even greater difficulty with abstract problem solving associated with higher level mathematics. A procedural…

This paper discusses some of the results of a study carried out with two classes of grade 7 students (11-12 years old); the aim of the project was to design, develop, and test interactive geometry tasks for use in future research into how (or whether) interactive applets help students learn mathematics. The study tasks were developed around the…

As a university professor who has taught at the teacher education, masters, and doctoral levels, the life of teaching has been an enduring interest, particularly teaching that occurs in K-12 settings. From the author's own work as a K-12 teacher and administrator to her earliest studies of effective teaching and in her own university teaching, she…