This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). Further, it is of the subseries that analyzed data for the purpose of identifying differential patterns of mathematics achievement which are correlated with different textbook series. This particular report considers comparisons made for the Y-…

This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). This report examines measures of attitude, self-concept, and anxiety as outcomes of mathematics instruction for students in grades 4-12. (NLSMA Reports Nos. 1-7 and 9 provide background information on the measures and the population.) Specific…

This is the first of two guidebooks for Grade 7 recommended to build fundamental concepts necessary for success in algebra. Topics covered include numeration systems, operations in non-decimal bases, whole numbers, factors and primes, and fractions. Goals for the course are stated, then, for each topic, performance objectives, a course outline,…

This study investigated individual differences in mathematical performance among secondary school students, and differences between boys and girls and between students of high and low socioeconomic status. A sample of 335 ninth-grade students from two secondary schools was administered tests of personality, mathematics attitude, numerical ability,…

A system of instruction for technical mathematics which utilizes programmed materials, continual diagnostic assessment, and tutoring is described. The system was developed at the Milwaukee Area Technical College. The first section of this paper states the philosophy of the project, lists the programmed texts used, enumerates special features of…

A complete mathematics testing program, involving diagnosis, prescription, and implementation, was developed by the Committee of Low-Achievers in Mathematics, Denver Area (COLAMDA), for use with low achievers in grades 7-12. A complete set of performance objectives serves as the course outline. Seventy-nine pretests and post-tests, covering whole…

A description is provided of comprehensive Achievement Monitoring (CAM), a tool which enables classroom teachers to function as researchers and evaluators. Part I reviews the CAM philosophy and the section following discusses computerized feedback in CAM operations. The final two portions of the report describes the use of CAM in mathematics…

This review of recent Piagetian research in mathematics education is divided into three parts. In the first part the author states the assumptions upon which the remainder of the paper rests. These assumptions are based on Piaget's theory of cognitive development and he presents six relevant points. The second part is a review of recent research…

This paper reviews teaching approaches and general resource materials for low achievers in both elementary and secondary mathematics classes. A survey of reported characteristics of low achievers is divided into two classes: (1) social and emotional problems, and (2) learning difficulties. Characteristics related to class 1 problems include: high…

This instructional unit uses an intuitive approach in introducing the concept of congruent transformations. Extensive use is made of worksheets and manipulative methods. In the latter stages, the SSS, ASA, and SAS theorems are presented. The unit concludes with geometric proofs requiring the use of the fact that corresponding parts of congruent…

This guide to accompany "Equa-formu-alities" contains all of the student information in SE 015 338 plus supplemental teacher materials. After each section there is a listing of terminal objectives, discussion questions, and suggested approaches. Also included is a list of necessary equipment and teaching aids. Related documents are SE…

This instructional unit seeks to prepare the student to exhibit competence in the mechanics of measuring and estimating angle size and in making generalizations on the nature of measurement. Experimentation with the use of circular and semi-circular protractors is encouraged. Exercises and discussion questions are given for each section.…

This instructional unit presents the coordinate system as a correspondence between a set of numbers and a set of points. A variety of coordinate systems are studied with major emphasis on the rectangular system. Basic problem solving and critical thinking skills are practiced in practical application situations. Related documents are SE 015 334 -…

This guide to accompany "Geometric Excursions" contains all of the student information in SE 015 344 plus additional teacher materials. With each section are listings of objectives, equipment and teaching aids, suggested approaches, and discussion questions. Masters are provided for making transparencies and student copies of patterns…

Answers to the following questions were sought in this study: (1) Does the interview technique provide information that cannot be obtained from the usual normative approach?; (2) Does the interview technique provide information leading to the revision of mathematics test questions? Are the revised questions better than the original version in…