The study dealt with the effect of discovery-type teaching methods on the achievement, attitudes, and work-study skills of low achievers in mathematics. Materials, equipment, and lesson plans were selected or written for half of the sample of ninth and tenth grade students having a low mathematics grade record, and being below average in two of…

A system to identify strategies of justification used by teachers in the classroom was developed and used to classify secondary school mathematics teacher discourse. Justification of assertion and action were labeled "validation" and "vindication," respectively. Eight strategies were identified - six of validation and two of vindication. The most…

The role of negative instances in the acquisition of the mathematical concepts of commutativity and associativity of a binary operation was examined. Two levels of instruction (positive instances, and positive and negative instances) for commutativity and for associativity were crossed to form a 2 x 2 factorial design with 16 ninth grade subjects…

The purpose of this study was to investigate the effects of providing behavioral objectives on the learning, forgetting and retention of high school algebra. A sample of 52 algebra I students was randomly divided into two classes, both of which studied a programed course of instruction written in the framework of a learning hierarchy. The measures…

This annotated bibliography lists research related to mathematics teaching and learning published in the United States in 1972. Each annotation gives major results and grade level of the study. The first section lists research summaries which review groups of research studies. The second section contains research reports which appeared in major…

Outlined are the minimum requirements for a quinmester course intended to strengthen a student's experience in a first algebra course, prior to entry to high school geometry and the second algebra course. After a brief description of overall goals and strategies, further details are presented in eight sections. Each section gives performance…

This paper describes a study in which 14 linguistic variables were used to determine which variables would account for a significant amount of the observed variance in the error rate in verbal arithmetic problems. Three forms of verbal problem sets in which the number of words in the problem statement were systematically varied were administered…

This booklet includes short descriptions of the history of the calendar, Napier's Bones, and the beginnings of algebra. The remaining two stories discuss the number nine raised to the ninth power of nine, and repeating decimals. (DT)

The purpose was to develop a system to describe the extent to which geometry teachers seek to elicit high levels of student thought and to teach the nature of proof. Also investigated was the relationship between a teacher's questioning behavior and the performance of students on a geometry test. A total of 35 tape recordings were made of 15…

The purpose of the study was to identify the effectiveness of using activity oriented lessons in seventh grade mathematics. Students were randomly assigned to one of six participating classes; two classes used only textbooks, two used instructional modes other than texts, and two used both texts and other enrichment activities. Units in number…

Based on a nationwide survey of secondary schools (sponsored by NSF), the study describes the extent and degree of computer use for both administrative and instructional purposes. In covering instructional applications, the study also includes statistics on the nature and purpose of computer use; type of source and level of support; school…

This document is the report of a curriculum writing session, and covers three activities: (1) a textbook for grade seven, written using the outlines produced the previous year (SE 012 735), was reviewed and criticized; (2) the outlines for grades eight and nine, also produced the previous year, were completed in greater detail; and (3)…

In an experiment to investigate learning styles in mathematics, 406 eighth grade students studied two sets of programed materials, one on triangles and one on quadrilaterals. Each program was available in two instructional styles: inductive and deductive. Students were stratified by sex and report card grades, and then assigned randomly to various…

This booklet contains suggestions for developing six of the twenty topics recommended for students in Secondary Forms III and IV in the schools of Victoria, Australia. These suggestions are intended for students for whom the standard course is unsuitable because of subject time allotments, ability levels, or vocational or educational needs. The…

This is a collection of 24 papers presented or prepared by participants of the Comprehensive School Mathematics Program (CSMP) International Conference in 1970 covering a wide range of topics in mathematics and geometry education. Conference recommendations are summarized, including the use of geometry to lead into other branches of mathematics…