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…

To probe beyond declarative knowledge about real numbers in secondary school, the authors interviewed students in Grades 9, 10 and 12. The main question seems to be whether the length of a decimal expansion is "indefinite" or "infinite." It blurs the mental representation of rational numbers as well. (Contains 3 footnotes.) [For complete…

This guide is designed to accompany ESPN's SportsFigures video segments which were created to enhance the interest and learning progress of high school students in mathematics, physics, and physical science. Using actual, re-enacted, or staged events, the problems presented in each of the 16 Sports Figures segments illustrate the relationship…

Mathematics software can be a great aid in understanding difficult mathematics concepts at all levels. This paper presents nine exercises on calculus concepts by using different software used in mathematics education. Each exercise includes instruction on how to use software in order to highlight a specific concept in mathematics. This paper also…

As almost every state attempts to reform mathematics instruction by implementing new teaching standards, state testing practices remain largely unchanged. Is there a mismatch between these new standards and the old tests? This question is investigated by examining whether middle school and high school algebra students taught in a manner consistent…

This final report and appended conference proceedings describe activities of the Earth Math project, a 3-year effort at Kennesaw State University (Georgia) to broaden and disseminate the concept of Earth Algebra to precalculus and mathematics education courses. Major outcomes of the project were the draft of a precalculus textbook now being…