The purpose of the project was to determine the effects of journal writing on the thinking skills of high school geometry students. The research supports the idea that writing can enhance a student's metacognitive ability. The results show that the journals served effectively in various capacities. Each student became actively involved in his or…

This document is Volume I of a two-part course designed to improve mathematical proficiency and understanding as the student is given practice in relevant problem-solving situations. It includes the mathematics skills needed to make sound consumer decisions. The purpose of this course is to review, reinforce and extend concepts learned in the…

These two bulletins were developed for the Calculator Information Center. "Motivating Activities for Low (and Higher) Achievers," prepared by Don Miller, presents activities that suggest ways in which a calculator can be used to help reinforce or develop certain mathematical ideas. Included are sections with activities for numeration,…

Language syntax is discussed, followed by an overview of algbraic syntax. Evaluating algebraic expressions was chosen as the means to investigate the psychological basis of syntactic skills. Subjects' ability to perform evaluative tasks appropriately using standard algebraic notation was ascertained; then similar tasks were presented using a…

This booklet contains the mathematics test (computation and applications) for the Wisconsin Pupil Assessment Program for grades 8 and 12. The test consists of 99 items which range from measuring arithmetical skills to skills in computer programming. (JN)

A group of 24 14-year-old students were presented with sets of algebra tasks using the Leeds Modelling System (LMS), a computer-based modeling system. Four months later, these same students were given a paper-and-pencil test which covered comparable tasks set by LMS. In addition, certain students were given detailed diagnostic interviews. A…

This paper reports the results obtained with a group of 24 14-year-old students when presented with a set of algebra tasks by the Leeds Modelling System (LMS). These same students were given a comparable paper-and-pencil test and detailed interviews some 4 months later. The latter studies uncovered several kinds of student misunderstanding that…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics curriculum. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

The history of competency testing and legal issues related to it are reviewed briefly in light of the responsibility of school districts for providing remediation programs for students who have failed the test. The mathematics competencies of the state of Idaho are identified and keyed to four sets of readily available, secondary level Apple…

Literature on school effects is inconclusive regarding which characteristics of schools are important to study. The research reported in this paper, which explores the effects of schools on mathematics and science performance, alters prior models in two ways. First, the schools are examined in terms of the school context, that is, whether the…

This study examined various misconceptions committed by junior high school students in fraction addition and subtraction problems. Almost 600 subjects were administered two tests, addition and subtraction, and their performances were analyzed by several computer programs, including two programs (FBUG and SPBUG) which are so flexible to any items…

The 1959 National Science Foundation Summer Science Training for High-Ability Secondary School Students Program contained 117 programs offered by 105 institutions in 37 states and Puerto Rico. For this report, 11 of the 117 programs were selected for visits by an observer highly trained and experienced in mathematics and/or science education. In…

This book contains the first four chapters of the second course of a pilot mathematics sequence for the seventh and eighth grades. The content of the sequence is to serve as a vehicle for the development of relevant computational skills, mathematical reasoning, and geometric perception in three dimensions and is to reflect the application of…

This document is a collection of abstracts of research studies on team teaching in mathematics. The research reviewed for this paper revealed little difference between team teaching and traditional instruction. Some trends suggested by the literature review are summarized according to grade level--elementary, junior high, or post-junior high. The…

This study involved secondary teachers in the evaluation, modification, and use of a program built and experimentally tested in elementary schools. Program reactions were gathered from teachers who would eventually use the program, and evaluations were also obtained from instructors outside the experiment. Evaluations from both groups were…