To help middle school students make better sense of decimals and fraction, the author and an eighth-grade math teacher worked on a 90-minute lesson that focused on representing repeating decimals as fractions. They embedded experimentations and explorations using technology and calculators to help promote students' intuitive and conceptual…

Mastering algebra is important for future math and postsecondary success. Educators will find practical recommendations for how to improve algebra instruction in the What Works Clearinghouse (WWC) practice guide, "Teaching Strategies for Improving Algebra Knowledge in Middle and High School Students". The methods and examples included in…

Traditionally, small-group math instruction has been used as a format for reaching children who struggle to understand. Math coach Kassia Omohundro Wedekind uses small-group instruction as the centerpiece of her math workshop approach, engaging all students in rigorous "math exchanges." The key characteristics of these mathematical conversations…

This book builds on the social nature of learning to provide useful suggestions for reaching reluctant learners. It is based on the assumption that instruction that focuses on students' interests and builds on collaborative and differentiated learning will allow students to move from believing they "can't do mathematics or science" to a feeling of…

Introduces a technique for developing tasks suitable for group investigation where students work from sets of numerical examples toward making generalizations. (ASK)

As school curricula undergo changes in both content and pedagogy, pressure is placed on teacher preparation programs and undergraduate mathematics departments to model learning environments in mathematics appropriate for education students. Yet the reality of many post-secondary mathematics courses includes traditional style classes containing a…

Five problem-based learning activities tested by fourth-grade gifted students are suggested. Each open-ended problem is intended to be worked on by a small group for 30 minutes. Student reactions are quoted and analyzed, noting that students became more willing to take risks, test the properties and limits of their materials, and learn from their…

This study examined the use of heuristic problem-solving strategies in math by seventh-graders under three different conditions: working individually; working in groups; and working as cooperative teams. No significant differences were found for the three conditions over a 5-week experimental period on a problem solving post-text (the Maryland…

This guidebook focuses on the problems facing teachers in small group teaching. It is organized in three parts, each dealing with a specific common problem. Part One deals with clarifying instructional goals for the group. Part Two concerns interaction within the group and between the students and the teacher. Part Three encompasses the…

Describes use of the little-known Shuttle Puzzle in computer programming to elucidate the process of analyzing a problem and synthesizing observations into an algorithm that can be used to generate a programming solution. The process used to solve the problem reflects one that an expert uses. The method could be adapted for small-group cooperative…

Among the barriers to acceptance of clinical problem-based medical education are institutional complacency and lack of rewards for teachers with academic competence in education rather than biological research and clinical care. (MSE)

Small group work has grown in use throughout the 1980s. Reported are six issues that were raised concerning small groups resulting from a series of workshops for university students in which the students worked on problems in groups, jointly planned tasks, and critiquing their use during their practice experience. (MDH)

This paper describes the use of cooperative groups in teaching calculus. It discusses benefits and drawbacks of group techniques and presents reactions from both students and the author. (Author)

Three studies involving 44 learning-disabled junior high students assessed the impact of strategy instruction in individual, small group, and whole class instruction in one knowledge domain: algebra. The three studies are contrasted, outcome data are compared, and the issue of generality-specificity in strategy instruction is examined. (JDD)

Presents a problem-solving activity in which students determine the effects on the water level in a pool when rocks are removed from a boat floating in the pool and placed into the water. Students discuss the problem, design an experiment to test solutions, conduct the experiment, and draw conclusions. (MDH)