Described and compared are two approaches for evaluating student problem solving skills at the elementary school level. One model was developed by Charles and Lester; the other model was developed by Woods. (RH)

Offers five suggestions to help students assess the reasonableness of their answers: (1) giving students a variety of problems; (2) facilitating students' discussions and interpretations of the problem conditions; (3) encouraging students to estimate answers before carrying out calculations; (4) encouraging students to ask whether their answers…

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)

Discusses the use and adaptation of alternative assessment procedures such as observation, interviewing, holistic scoring, checklists, and reading of student journals, to accurately determine the progress of students with learning difficulties. Includes scoring rubrics and many samples of student evaluation. (MKR)

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 a technique using a color-coded holistic scoring system to achieve greater understanding of the assessment process on the part of students by having them score classmates' solutions to a problem. (MKR)