Assesses the concept of "backwash" in language teaching. The two processes of testing and teaching are considered to be necessary but distinct. A system is described for distinguishing between them which is applied to developing classroom activities for examination preparation classes to help teachers move from testing to teaching…

Discusses the use of analogies and other instructional strategies (problem solving, demonstration, group labs, and large group discussion) in dealing with students' preconceptions in physics. (PR)

Describes the development and implementation of "The Curriculum and Pedagogy of Teacher Education," a doctoral course that used case studies to facilitate teacher learning opportunities at all levels. Students examined a set of oral cases, wrote their own cases, and discussed articles exploring subject matter, method, theory, and practice. (SM)

Many teachers use cooperative learning methods during instruction but face the problem of aligning evaluation techniques with that instruction. Described are methods to include cooperative problem solving in evaluation, including strategies to identify possible grading schemes, to make appropriate problem choices, and to evaluate individual versus…

Suggests instructional modifications that utilize liberal arts students interests and strengths to stimulate their interest in mathematics. Suggestions recommend that teachers (1) relate mathematics to current critical issues; (2) make use of projects and open-ended problems; (3) utilize collaborative learning; and (4) provide opportunities for…

Proposes the use of procedural task analysis as a tool to assess a person's mental processes during problem solving in science education research. Uses transcriptions of videotape or audiotape problem-solving sessions to identify students' knowledge structures and misconceptions. (MDH)

Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)

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)