Background: The process of problem solving is difficult for students; thus, mathematics educators have made multiple attempts to seek ways of making this process more accessible to learners. The purpose of this study was to examine the effect size statistic of utilizing exploratory computerized environments (ECEs) to support the process of word…

Some uses of a computer in a high school statistics class are presented. The increased student involvement in the lesson is seen as a result of the line demonstration of the mathematical concepts involved. A special application program written in BASIC is included. (MP)

A personal experience is described concerning problem solving that incorporates the computer to help generate multiple examples of proposed conjectures as solutions. The positive potential of technology to allow students of mathematics to experience the process of discovering mathematics through conjecture and generalization is emphasized. (MDH)

This empirical investigation, implemented with a computer program, examined the influence of graphical and numerical representations on the discovery process involving iteration sequence properties and concomitant problem-solving abilities for 79 eleventh grade students and 22 secondary mathematics teachers. Results indicate that heuristics and…

Uses Derive as an instructional tool to investigate asymptotic behavior of rational functions. Activities focus on reducing manipulation and computation and on generating multiple examples to focus on discovery of the concept rather than a summary of rules. (MLN)

Demonstrates how the uniqueness and anonymity of a student's Social Security number can be utilized to create individualized polynomial equations that students can investigate using computers or graphing calculators. Students write reports of their efforts to find and classify all real roots of their equation. (MDH)

Describes examples of student-centered activities for exploring mathematical induction using BASIC programs or spreadsheets. Discusses the advantages of using this medium to teach the concept and provides computer programs for the activities. (MDH)

Demonstrates how to construct rational, exponential, and sinusoidal functions that appear normal on one scale but exhibit interesting hidden behavior when viewed on another scale. By exploring these examples, students learn the importance of scale, window size, and resolution effects in computer and calculator graphing. (MAZ)

Stresses using the features of graphing calculators to teach parametric equations much earlier in the curriculum than is presently done. Examples using parametric equations to teach slopes and lines in beginning algebra, inverse functions in advanced algebra, the wrapping function, and simulations of physical phenomena are presented. (MAZ)

N:4$2 N:4$N Reported are results of a Technical Education Research Centers (TERC) project describing telecommunication interactions between groups of students using the computer software unit "Connectany." Polygons are formed through repetitive "jumps" between points on a circle. Investigation questions and results are shared…

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

Discussed is the classroom suitability of an open learning computer microworld centered around families of quadratic equations that provides a framework for exploring questions about parabolas to establish the link between the graphical and the algebraic representations of quadratic equations. (JJK)

This booklet is the ninth in a series of nine from the Teacher Training Institute at Hofstra University (New York) and describes the content and the approach of an institute course in which the participants use the personal computer as a personal tool within the mathematical discovery process of making conjectures, testing those conjectures, and…

The purpose of this report is to see what the literature has to say about motivation and group interactions, both with and without the assistance of computers. The ultimate purpose is to examine in detail how the emerging ideas can be used to enhance the teaching and learning of arithmetic using computers. This report is divided into the following…

This book attempts to introduce students to the creative aspects of mathematics through exploratory problems. The introduction presents the criteria for the selection of the problems in the book. Criteria indicate that problems should: be immediately attractive, require data to be generated or gathered, appeal to students from junior high school…