The major problem in this study is to determine the effects of remedial methods on basic skills mathematics achievement and student attitude toward mathematics. Attitude prior to treatment was included as a blocking variable in one analysis. Remedial methods included: (1) no intervention or regular; (2) regular plus an intern teacher; (3) regular…

A study designed to investigate the association between Piagetian cognitive and long-term mnemonic (recall and recognition) levels and problem solving in mathematics was conducted with 152 eighth-grade students. Cognitive level was determined by two evaluations (seven months apart) of a subject's performance on a clinically administered balance…

Criterion-referenced testing is an important area in the theory and practice of educational measurement. This study demonstrated that even these tests must be closely examined for construct validity. The dimensionality of a dataset will be affected by the examinee's cognitive processes as well as by the nature of the content domain. The methods of…

Results are reported of a study designed to: (1) investigate the range of types of reasoning exhibited by ninth- and tenth-grade science and mathematics students (N=69) within 2B and 3A stages as classified by three Inhelder tasks; (2) explore the feasibility of subdividing types of responses into bands within each stage; (3) provide descriptive…

Topics that deal with prime numbers are presented with the intent of allowing the student to re-create the excitement of the original investigation. Suitable for advanced high school students as an introduction to number theory at the college level or as a text for courses in teacher education, the book covers the following topics: (1) the number…

Eleven students out of 94 selected a hexagonal container as larger than a triangular container having the same surface area, although the capacity of the former was 50% greater than the latter. When presented with hexagons and triangles of the same perimeter but different areas, 40 students selected the hexagon as the larger area. When the…

This paper, presented at the 1979 meeting of the American Educational Research Association (AERA), investigates student errors in high school mathematics. A conceptual framework of hypothetical information-handling processes such as procedures, frames, retrieval from memory, visually-moderated sequences (VMS sequences), the integrated sequence,…

Presented are seven Information Bulletins from the Calculator Information Center. Each addresses concerns that have arisen as teachers consider the use of calculators or begin to use calculators. Bulletin No. 1, prepared by Higgins, discusses "Types of Calculators." The second bulletin, compiled by Channell, presents some suggested…

This booklet brings together in one place some of the new words, symbols, and concepts of SI, the modern international system of metric measurement, now being used in many different subject areas. This booklet is intended to supplement, not substitute for, metric textbooks. It can be used for quick reference as young people prepare to live and…

The purpose of this booklet is to make it easier for the parent to help his/her child learn the metric system. Contents include: (1) answers to most-asked questions of parents; (2) introduction to metric units; (3) converting from one unit to another within the metric system; (4) a reference table; and (5) a chart entitled "All You Will Need to…

This outline is for a pre-algebra course designed to prepare students for algebra or to satisfy a one-year mathematics requirement. A key purpose is to present a practical mathematical experience. A detailed outline is given with a suggested time allotment for each chapter. A discussion of each topic follows with teaching suggestions and examples.…

This is part three of a three-part School Mathematics Study Group (SMSG) textbook. It contains eight chapters of supplements. Four of these are designed to be supplements to the specific chapters 2, 3, 7, and 10. The other four supplements cover the topics: Determinants; Flow Chart for Two Linear Equations in x and y; Graphs with Non-uniform…

This is part one of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Topics included are numbers; cardinal numbers; geometry of lines, points, and planes; geometry of angles,…

This is part two of a two-part SMSG mathematics text for junior high school students. Key ideas emphasized are structure of arithmetic from an algebraic viewpoint, the real number system, and metric and non-metric relations in geometry. Included are chapters on the rational number system; parallels, parallelograms, triangles, and right prisms;…

Within this single module there are two approaches to this brief survey of logic. Since most geometry textbooks fail to give an adequate discussion of logic, a "textbook" treatment of the subject has been included. This is found as explanations interspersed in the exercises and these can be used as a textbook approach. However, also included is an…