These materials contain the test booklets and answer keys to the mathematics mastery program of the West Bloomfield Schools (Michigan). Two booklets, forms A and B, were developed for each grade level from grade 3 through grade 6. The answer keys are on separate sheets. The mastery program is based on textbook and supplemental materials. (TW)

It is more important for children to learn concepts in mathematics than to be able to perform automatic computational functions. By permitting manipulation of the relationships among visible objects, computer graphics can make it easier for students to grasp concepts and can serve as an essential ingredient in effective computer-assisted…

Matematica 1 is the first book of a mathematics program in Portuguese "designed for first graders." The book contains 15 chapters dealing with: sets, numeration, place value, numbers from 0 through 99, addition and subtraction, geometric shapes, measurements (money, time, length), fractions, word problems, and commutative and associative…

Examines some prominent features of currently available mathematics tests to see how well they serve their claimed ends, and describes tests that are validated against tasks that incorporate the mathematical skills children are interested in and capable of doing. (Author/IRT)

The nature of measurement, the standard measurement concepts are discussed in terms of children's preconceptions and activities for building measurement concepts through primary school instruction. A broad range of activities including counting, computation, calibration, and relating measure to size is presented. The metric system is briefly…

Investigates the convergence of three measures on a representation of cognitive structure and examines the correspondence between these representations and the representation of subject matter structure. (Author/DEP)

This document consists of three modules concerned with aspects of statistics. The first provides knowledge of the effect of imperfect correlation and random error on differences between means, and the reasons for the necessity of random allocation of objects to experimental and control conditions in scientific experimentation. The second unit…

This study focuses on the mental processes used during estimation. This research: (1) developed an operational definition of estimation; (2) created an instrument to identify exceptionally good estimators; (3) collected performance level data on 1187 subjects; (4) constructed interview problems and developed protocols to identify the thinking…

The approach to teaching group theory used in this report was to give students many different kinds of examples of the concept being taught. The functions of models and examples in terms of student preferences and the psychology of the learning experience are discussed. Six representations of the tetrahedral group were developed as test materials.…

Refinements of work with calculator algorithms previously conducted by the author are reported. Work with "chaining" and the doing/undoing property in addition and subtraction was tested with 24 third-grade students. Results indicated the need for further instruction with both ideas. Students were able to manipulate the calculator keyboard, but…

This paper describes an approach to task analysis which seeks to identify potential sources of difficulty in the self-discovery of improved procedures by students who have been taught simpler procedures. The approach considers novices' procedures in terms of the changes needed to produce an expert procedure; the knowledge required to make those…

The described learning module is designed for teachers at the middle school level who wish to improve specific basic mathematics teaching skills. The contents of the module are outlined, and activities and resources involved in its use are described. Ordering information for materials is included, and a critique of the module is provided. (JD)

Investigated were concepts of conservation (number and length), cardination, one-to-one correspondence, and counting ability, and the role of these concepts in learning first-grade mathematics. A Piagetian-type number concept test was developed and administered at the end of the school year to a sample of 38 entering first-grade students selected…

This is the report of a teaching experiment designed to teach the concept of equality as an equivalence relation to a group of first graders. The rationale, design, selected samples of the instructional materials, summaries of students' performances during the instructional program, analyses of students' performances on a series of evaluations…

Children's understanding of mathematical concepts, written symbolization of these concepts, and a specifically defined readiness factor were investigated. Thirty-eight first graders were classified as ready or not ready according to scores on a readiness test. Students were paired, with 11 pairs of not-ready and 8 pairs of ready students; one…