The purpose of this study was to uncover information about and gain a greater insight into the extent to which students who are successful in a basic algebra course: l) demonstrate a reversibility of reasoning processes when solving algebraic problems; 2) demonstrate a flexibility of reasoning processes when solving algebraic problems; 3)…

This document focuses on Core Algebra, a course offered in the Hawaii State Department of Education's "Mathematics Program Guide." This algebra option is designed to be less theoretical and more application-oriented than Algebra IA and IB. The text opens with a list of twenty minimum learner objectives of the course. The next section presents an…

This document promotes computer symbolic mathematics and computer algebra as ideal instructional materials for mathematics, science, and engineering students. Further, computer algebra is viewed as appropriate for all students throughout the mathematics curriculum, by serving a vast area of mutual reinforcement and cross-motivation between…

This curriculum guide outlines the mathematics objectives of each of the grades K-8 under the headings of operations, sentences and problem solving, numbers and numeration, measurement, geometry, statistics, and applications. Examples of each of the objectives are given. High school minimal skills are listed. The sequence of mathematics courses…

A PROGRAMED ALGEBRA I COURSE WAS OFFERED FOR THE THIRD YEAR TO STUDENTS OF THE CLOUDCROFT, NEW MEXICO, HIGH SCHOOL. ALL FRESHMEN (15), 4 SOPHOMORES, 1 JUNIOR, AND 2 SENIORS WERE ENROLLED. A SCHEDULE WAS DEVELOPED WHEREBY EACH STUDENT COULD COMPLETE THE ENTIRE 73-CHAPTER COURSE IN A SCHOOL YEAR. TEACHER-MADE TESTS WERE GIVEN AT THE END OF EACH…

This longitudinal study is one of a series which is devoted to the task of evaluating new, secondary school mathematics curricula. This series of studies has involved ninth and eleventh grade teachers teaching a new mathematics curriculum (School Mathematics Study Group, University of Illinois Committee on School Mathematics, or Ball State…

Three instructional approaches on translating selected types of algebra word problems were investigated: direct translations, high imagery with materials, and high imagery with drawings. Participating were 366 seventh grade and 336 ninth grade students. Treatment effects by grade used multivariate analysis of covariance for student scores and…

Explains the constructivist theory of knowledge and discusses the theory's implications for teaching remedial college students. Analyzes student performance on a college placement test to highlight the differences between how novices and experts process scientific or mathematical materials. Suggests a radical change in introductory algebra…

Explores the problem of combining algebraic terms from the students' point of view and suggests changes in certain traditional teaching practices. (PK)

Argues that before topics are added to or deleted from the traditional mathematics curriculum, it should be determined how technology can be used to teach that content. (PK)

Study of algebra students' response to availability of optional interactive computer graphing lessons analyzed responses of both users and non-users. Information sought included number of lessons completed, students' opinions of value and difficulty of lessons, whether students felt threatened by computer use, and relationship of gender and age to…

Describes design, implementation, and evaluation of an interactive video lesson in preparatory algebra based on Gagne's instructional design principles, which was developed at the University of Utah. Highlights include learning objectives; program design elements, particularly use of reference files; areas addressed in formative evaluation; and…

Reviewed is computer software on: (1) classification of living things, a tutorial program for grades 5-10; and (2) polynomial practice using tiles, a drill-and-practice program for algebra students. (MNS)

We report on one aspect of a longitudinal study which seeks insight into the ways in which spreadsheet experience and teachers' pedagogic strategies shape pupils' construction of meaning for algebra. Using data from stimulated recall interviews we analyse the evolution of meaning for variable through the mediation of the variable cell and the…

In this paper, I explore two beliefs about learning and teaching that I argue are prevalent among educators. The first is the belief that subject matter expertise is sufficient for success in teaching. The second belief is that to learn a specific content area, one needs to begin with an understanding of the formal structure and abstract…