Defining challenging curriculum first requires an examination of what is meant by curriculum. This discussion of challenging curriculum is motivated by the evaluation of the National Science Foundation's Math and Science Partnership Program. Standards frameworks, textbooks, software, and pedagogy are some aspects of curricula. The level of…

Much research has been done and reform is suggested relating to teachers' implementation of student-oriented learning environments, yet research on the role, beliefs, pedagogy, and knowledge of teachers simultaneously in classroom environments has been minimal (Kyle, 1994, "Journal of Research in Science Teaching", 31, 785-786). This…

The Math Emporium at Virginia Tech provides basic computer-assisted mathematics instruction for undergraduates, producing higher grades as well as accolades from technology advocates. However, a lack of commercial mathematics software and the high costs of computer installation, support, and maintenance threaten continuation of the program. (DB)

Two studies of the effectiveness of supplemental instruction (SI) for college-level calculus courses are reported. In each, achievement was compared for students whose discussion groups were conducted using the supplemental instruction (SI) model and those whose discussion groups were conducted with traditional content-only focus. In both cases,…

The crisis confronting calculus and mathematics education generally results from a number of failed assumptions implicit in the dominant lecture-homework-exam methodology used in teaching mathematics. Positive resolution of this crisis can be found in adopting a noncompetitive, collaborative approach to mathematics education. (Author)

Discusses an activity-based, exploratory-centered model of instruction based on the Piagetian theory of developmental learning that bridges the gap between the expected and actual levels of student reasoning. Applies the method to learning the mathematical concepts of circumference, area and volume, and division by zero. (22 references) (MDH)

Presents a framework used in shaping two major mathematics teacher education research and development projects, built on a framework for mathematics learning derived from a social constructivist view of learning and incorporating aspects of French didactical theory. Describes interconnections between different domains of teacher knowledge.…

Presents tasks from the topics of calculus, statistics, non-Euclidean geometry, and probability to illustrate effective college mathematics teaching. Discusses some obstacles to change in college-level mathematics teaching and strategies to overcome those obstacles. (MDH)

Constructivist epistemologies have been instrumental in recent research on mathematics learning and have provided a basis for recent mathematics education reform efforts. Although constructivism has the potential to inform changes in mathematics teaching, it offers no particular vision of how mathematics should be taught; models of teaching based…

The work described in this paper is part of a larger project, called InterQuest, which is dedicated to establishing effective models and methods for teaching using Internet technology, especially the World Wide Web. Features of two InterQuest projects, CalculusQuest and QuestWriter, are discussed. CalculusQuest is a first-term differential…

The core of the work described in this paper is a small-scale qualitative research project based on the classroom observation of student teachers in England following a 1-year "PGCE" (postgraduate continuing education) course in 1992. This project was underpinned by an exploration of a theoretical model of the nature of the relationship…

An integrated mathematics/science elementary methods course was developed as part of Connecticut's statewide systemic initiative. Considers: (1) What does integration mean? (2) What content should be taught? and (3) How should it be taught? Implementation team included an exemplary elementary teacher. Appendix presents a sample integrated lesson.…

The Marie Curie Mathematics and Science Center at St. Thomas Aquinas College (New York), in a comprehensive effort to improve mathematics and science education, offers the Saturday Morning Search for Solutions enrichment program for area students in grades 7-12. The program is interdisciplinary, connecting technology and the study of societal…