Investigated a beginning mathematics teacher's beliefs about problem-solving while finishing preservice training and how these beliefs affected, and were affected by, the first three months of teaching. Analyses revealed conflicts between the teacher's idealism and the reality of classroom practice, as students were not always receptive to…

This study was conducted to determine if computer assisted instruction used as a major part of instruction increases mathematics achievement and to explore impact of computers as integral part of instruction on student attitudes toward mathematics, students' perceptions of teachers' attitudes toward them, and student attendance and discipline.…

Nine cooperative learning techniques are described and classified according to the following categories: (1) type of subject matter; (2) nature of student interdependence; (3) interaction among cooperative groups; (4) method of grouping students; (5) basis for evaluation and reward; and (6) practical requirements for implementation. The academic…

Brief articles are included on exploring mathematical patterns, with two computer programs listed for finding happy numbers; a simple periodic function in trigonometry; and comments on humorous student errors. (MNS)

High school counselors in Virginia were surveyed on their recommendations for academic programs in science and mathematics for fictitiously named male and female students at different levels of academic achievement. The counselors were apparently not influenced by the sex of students. (MNS)

How calculators can enhance problem-solving abilities is discussed. Examples of calculator table-building activities that span the gap from arithmetic to algebra in middle schools are given. Percent, area and perimeter, and exponents are the focus. (MNS)

Proposes that the role of mathematics education be re-examined in terms of an increased emphasis on mathematical knowledge rather than attainment of calculational speed. Offers perspectives on the reform movement in mathematics education and advocates the teaching of the history, logic, and method of mathematical thinking. (ML)

Geometric activities for junior high school students at the first levels of the van Hiele model of geometric learning (recognition, analysis, and ordering) are discussed. Illustrative problems are included.

Description of a validated computer assisted instruction (CAI) program (The Addition Tutorial) illustrates how four critical components for instruction--learning principles application to instructional design; sufficient database; adequate motivational system; and delivery system which provides teacher learning environment control--might be…

Discusses conception, design, implementation, and evaluation of a calculus course that utilizes a multi-user microcomputer system with graphics terminals. The numerical and utility routines of the software are briefly described, and examples of several types of calculus problems that can be solved utilizing the system are reviewed. (Author/MBR)

Documents the educational use of spreadsheets through a description of exploratory work which utilizes spreadsheets to achieve the objectives of Conway's Game of Life, a scientific method game for the development of problem-solving techniques. The implementation and classroom use of the spreadsheet programs are discussed. (MBR)

Computer-assisted-instruction software was developed to supplement the conventional lecture-laboratory mode of instruction with another instructional aid for learning science in an individualized, nonthreatening environment. This development project was designed to teach physical concepts, mathematical techniques, and problem solving strategies.…

Primary school teachers tended greatly to overestimate the scores that their students would achieve in mathematics and English achievement tests and to greatly underestimate the scores they would achieve in the reading achievement test. Factors that influenced teachers' judgments include academic competence, student relationship with the teacher,…

Recognizes two critical factors in cross-cultural mathematics teaching: the perceived utility of mathematics and the direct relationship of mathematics learning to language development. Reviews current literature and reports the results of their study of perceived utility of mathematics and technical language development in the Crow Indian…

A Chicago program that had nonscience faculty attend science classes as students, interrupting instruction with questions and comments and recording their cognitive and emotional reactions to the instruction process, revealed that such an approach to providing feedback to teachers is feasible, productive, and enjoyable. (MSE)