Reports an example of one lesson from a sequence of lessons on fractions from a sixth grade class in which the teacher revises her plans after observing students' small-group work and interactions. The lesson illustrated the teacher's knowledge of mathematics, how students think, and how to observe that thinking. (MDH)

Describes Thinking Mathematics, a research-based approach to teaching mathematics. Value is placed on thinking and communicating mathematically and using what is known to find the unknown. The program requires teachers to rethink their beliefs and assumptions about teaching and learning mathematics. Examples of program implementation are given.…

The use of strategies is an important part of mathematical thinking. Presented are several games that help develop the reasoning strategies of hypothesis making and testing, proving and disproving, looking for patterns, and simplifying a difficult task. (MDH)

Provides excerpts from videotaped dialogue between two third grade students and their interactions with their teacher while solving a counting problem to describe student thinking and communication during the task. Discusses the teachers' role in the dialogue and implications for classroom practice. (MDH)

Presents integrated activities for mathematics and biology appropriate for various levels from grades five through eight. Explores interesting aspects of human fingernails and hair growth and their mathematical relationship to time. Provides suggestions to integrate the activities with technology. (MDH)

Forms and characteristics of small group physics instruction in the Russian university are examined and in some cases, compared to those used in Britain. Topics discussed include the lecture method, classroom communication during lectures, postlecture discussion, specialized small-audience lectures, problem solving, individual research projects,…

Argues that critical thinking is best learned where fellow students respond and react as well as replicate and evaluate. Suggests methods and techniques for doing critical thinking. Discusses thesis formulation, concept application, judgments and conclusions, cause and effect relationships, criteria identification, structure and function,…

Presents a series of 13 activities to explore the mathematics of baseball. Activities examine the numerical measures of player statistics and team standings and the geometry of baseball. Discusses the use of computer spreadsheets and LOGO computer simulations to study the concepts embodied in the activities. (MDH)

Describes three activities to teach mathematical concepts involving probabilities related to outcomes using "Sicherman" and other dice; geometric representations of algebraic identities; and the volume of a cone. (MDH)

Presents an exciting way to acquaint students with current methods to clean up oil spills. Students also have the freedom to create new clean-up methods as they think through the problem and experiment to find effective solutions. (PR)

Explores commonalities and differences between the Reggio Emilia approach and the developmentally appropriate approach. Points to differences in eight areas: (1) scheduling; (2) grouping children for activities; (3) planning; (4) teacher attitudes; (5) products of work and play; (7) parent conferences; and (8) continuity. (BGC)

Over the past decade calls for reform in higher education have emphasized that education should become less instructor centered with students taking a more active role in their learning. Moreover, there is increasing pressure on university professors to implement student centered teaching strategies that negate time and place restrictions of the…

The purpose of this study was to investigate the effects of using problem-solving strategies in middle school mathematics classes. Participants were seventh grade Pre-algebra students from a school located in Maryland. Sixty-nine students participated in the study. Using math attitudinal surveys, exit tickets, observations and interviews as…

This volume in the Language Teacher Research Series (Thomas S. C. Farrell, series editor) presents research conducted by language teachers at all levels, from high school English teachers to English language teacher educators, reflecting on their practices. The countries represented in this book are Brazil, Canada, Colombia, Costa Rica, Ecuador,…

Holistic education lacks a single definition but may be described through a number of recurrent themes that appear in the literature. These themes have been used to develop underlying values that reflect this educational approach and the behaviours associated with these values are described. A person profile is presented from these values and…