A variety of techniques for incorporating writing--the writing of letters, the keeping of logs, the devising of word problems--into the mathematics curriculum are discussed. The benefits from using an integrated approach are indicated. (DG)

Examples of possible methods for unobtrusively evaluating student progress through real problem solving outcomes without formal testing are illustrated. These methods include the use of interviews, artifacts, observations, I learned statements, checklists, flow of discussion charts, and self-awareness exercises. (MN)

Suggests that, although questions are often used to help students or stimulate student thinking, questions can also be used to help evaluate student thinking and attitudes about problem solving. Sample problems and questions are given. (PK)

Presents an activity for representing a given number in as many ways as possible using short periods of time to develop students' number sense and provide the teacher the opportunity to make informal student assessment and diagnosis. Provides specific dialogue of the activity being used in a third grade class. (MDH)

Offers seven criteria for developing mathematical thinking, plus suggestions for teaching and assessing students' progress that are compatible with each learning criterion. Provides evaluation sheets that help the teacher assess and grade students on the criteria. (10 references) (MDH)

Presents suggestions for using math performance assessments in elementary classrooms to help students develop mathematical thinking skills. The article lists National Council of Teachers of Mathematics evaluation standards for mathematics assessment and describes a number of problem-solving activities for students. (SM)

Interpersonal Process Recall (IPR) is a technique in which audiotapes are used to evoke students' memories concerning their own thinking. Reports a study using IPR to probe elementary students' (n=17) thinking during a problem-solving situation. Concluded that IPR has potential in classroom research. (MDH)

Discusses a new approach to mathematics education that moves away from methods that tell students what to do and toward methods that help students build mental representations of mathematical concepts. Contrasts the previous and emerging views and examines aspects of the new approach. (26 references) (MDH)