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)

Basic rules of test construction are detailed to provide teachers with ways to improve the validity and reliability of teacher-made tests and worksheets. Designing the test, writing the items, and scoring the test are each discussed. The critical need for good instruments is promoted. (MP)

Presents a study of 87 second graders to demonstrate that achievement tests in primary mathematics emphasize pupil's lower-order thinking by comparing answers to interview questions from constructivist and traditionally instructed groups. Results indicated that constructivist instructed students demonstrated superior higher-order thinking on tasks…

Two successful procedures for evaluating problem-solving performance in the classroom are shared. Five goals for teaching problem-solving are noted, followed by a discussion of evaluating a child's performance through joint use of: (1) analyzing written work; and (2) observing and questioning students. (MP)

Explains a set of processes that teachers might use to structure their evaluation of students' learning and understanding. Illustrates the processes of setting goals, deciding what to assess, gathering information, and using the results through a measurement task requiring students to estimate the number of popcorn kernels in a container. (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)

Performance assessment, a method that makes possible the assessment of multiple dimensions of students' progress, including dispositions, is described. Criteria for good performance tasks are given, and their structure is illustrated through an example. A list of 10 dispositions toward mathematics and a self-evaluation group-performance rating…

Focuses on student organization, preparation, and presentation of simple foods (beverage, brownies, sloppy-joe sandwiches) as a way to apply various mathematical concepts, with problem-solving techniques being central to almost all the activities. Includes reproducible student worksheets. (MKR)

Presented are assessment techniques to help improve instruction. Included are the formative assessment techniques observation and questioning, diagnostic interviews, and problem-solving-based investigations and the summative assessment technique of performance-based tasks. Examples of these methods are provided together with at-home activities…

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…

In 1987, Toronto Board of Education mandated the development of standards, called "benchmarks," for students' achievement in mathematics and language at the end of grades 3, 6, 8, and 10. The development and testing of benchmarks stressing higher-order thinking, problem solving, and the use of experiential approaches and manipulative…

Describes a unit designed to integrate mathematics with other curriculum areas by drawing on real-life situations. This unit incorporates nutrition, calculators, and graphing skills to classify items from a grocery receipt and represent the amounts of money spent on each category in different graphs. (MDH)