Describes preparation for instruction using a problem-based approach as part of a teaching-strategy repertoire. Describes classes that use the approach successfully, and identifies pitfalls. Suggests ways that mathematics teachers can get assistance in successfully implementing a problem-based teaching approach. Presents research results that…

Problem-Based Learning (PBL) describes a learning environment in which problems drive the learning; that is, learning begins with a problem to be solved and the problem is posed in such a way that students need to gain new knowledge before they can solve it. This ERIC Digest discusses many aspects of PBL including PBL and problem solving, PBL and…

This book describes an approach to mathematics instruction that attempts to honor children's thinking and sense-making ability. The book aims to weave strands of mathematics (addition, subtraction, place value, and problem solving) together and offer a wide variety of contexts for genuine mathematical exploration. The book is intended as a…

Described is a study of second grade classes that participated in a year-long project in which instruction was generally compatible with a socioconstructivist theory of knowledge and recent recommendations of the National Council of Teachers of Mathematics. Methods, results, and implications for mathematics instruction are discussed. (CW)

This collection of activities demonstrates how the study of elementary mathematics can be extended beyond the school and involve teachers and students in investigative, problem-based experiences. The activities include topics in geometry, concept of number, algebra, measurement, graphing, statistics, and probability, and are organized into five…

Calculus can be taught using meaningful problems and active participation, with provocative problem situations and large-scale projects. An Ithaca College (New York) introductory calculus course uses this problem-based learning approach to develop understanding of central concepts (differentiation, integration, approximation) with less of the…

This text explores teaching techniques and adaptations that have proven effective in teaching mathematics concepts and skills to students with learning disabilities. This fourth edition, consistent with the standards developed by the National Council of Teachers of Mathematics, 2000, continues to emphasize problem solving, number sense, student…

"Online Collaborative Learning: Theory and Practice" provides a resource for researchers and practitioners in the area of online collaborative learning (also known as CSCL, computer-supported collaborative learning), particularly those working within a tertiary education environment. It includes articles of relevance to those interested in both…

Provides an example of the integration of science and mathematics learning of one high school physics student in a constructivist classroom. Discusses the student's integration of mathematical and nonmathematical representations and of different mathematical representations in a nonuniform acceleration experiment. Describes a model for integrating…

This booklet offers teachers a variety of strategies and resources for providing different levels of content and activities that will challenge all students, including gifted learners. It begins by discussing evolving definitions of giftedness and theories of intelligence. Means of identifying gifted students and indicators of mathematical and…

This paper discusses the author's personal experiences in developing and implementing a problem-based college mathematics course for liberal arts majors. This project was initiated in response to the realization that most students are dependent on "patterning" learning algorithms and have no expectation that self-initiated thinking is a…