In this study the researcher investigated the feasibility of constructing a valid paper-and-pencil measure of problem solving ability. (Rationale and design of the study are discussed in Part 1.) The principal feasibility criterion, correlation of at least .71 with scores on taped and coded individual "thinking aloud" problem-solving…

A Model 35 KSR teletype was installed in Roxbury Latin School and connected to the SDS 940 system at Harvard University. The equipment was used to teach secondary students to use computers to program and solve math problems. Students learned the Computational Algebraic Language (CAL) and were oriented to computers and programing. They followed the…

The first of six chapters in this yearbook discusses articulation between junior and senior high school in terms of several specific content and topic areas. The following chapter is a selected review of research in mathematics education for the years 1915-1931. Investigations are categorized into one of nine areas and a 132-entry bibliography is…

A Media Specialist Institute was held to train teachers who would be using the mathematics programs devised by the Commonwealth Computer-Assisted Instruction (CAI) Consortium. Teachers from Lincoln High School in Philadelphia and Schenley High School in Pittsburgh were given college credit for attending the three-week program. The first week…

The first section of this issue briefly reviews the initial phase of Project Solo--an attempt to develop new approaches to mathematics education. Some limitations of the project are also discussed. Following this, the relation of such computer-based activities to math education is presented, including the researchers' belief that in grades 8…

Reported are the results of a study whose aim was to compare the standards for university entrance in the various member states of the Council of Europe. Presented is an analysis and comparison of the academic secondary mathematics education curriculum at the most specialized level, focusing on what is required to be known to pass successfully the…

The focus of this NSF-sponsored conference was on discussion of problems which exist in mathematics education at the middle school level; and to seek some consensus as to future action. Four position papers presented to the conferences, attention to computational skills, relevance in mathematics education to meet societal needs, development of…

This volume contains a series of teacher-developed units to supplement the textbook in a high school geometry course. Each unit contains a statement of objectives, content discussion, worksheets, and activity suggestions. Major topics include logic, proofs, ratio and proportion, similarity, and trigonometry. Practical applications are given in…

This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). Further, it is of the subseries that reports the data analyses for the possible correlates of mathematics achievement; this particular report contains the data on correlates classified as cognitive variables for students in grades 4 through 12.…

This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). Further, it is of the subseries that reports the data analyses for the possible correlates of mathematics achievement; this particular report contains the data on correlates classified as teacher-assigned grades for students in grades 4 through…

This is one of a series of reports on the National Longitudinal Study of Mathematical Abilities (NLSMA). It is an analysis of a follow-up survey conducted on the Z-Population (students in grades 10-12) approximately one year after the students completed grade 12. (NLSMA Reports Nos. 3, 6, 7, and 9 contain background information on the…

Digraphs, graphs and task analysis were used to map out the content structure of a programed text (SMSG) in elementary probability; mathematical structure was operationally defined as the relationship between concepts within a set of abstract systems. The word association technique (WA) and paragraph construction technique (PC) were used to…

This is the first in a series of three guidebooks on minimum course content for gifted grade seven students who will begin algebra in grade eight. The topics covered include integers, sets, number properties, open sentences, and graphing; concepts are stressed. Overall course goals are specified; a course outline, performance objectives, suggested…

A number of space science resource materials and activities are developed into a useful format for classroom presentation. The application of mathematical properties in making scientific discoveries is the major emphasis. Each section has a discussion centered on the men and history behind the discovery of physical laws and phenomena relevant to…

A developmental curriculum project is summarized which investigates the feasibility of using the PLATO computer assisted instruction (CAI) system to assist in the presentation of material in a geometry course which requires pictorial responses by the student. Geometrical concepts such as congruence, symmetry, perpendicularity, parallel, triangle,…