In this paper, I review both mathematics education and CSCL literature and discuss how we can better take advantage of CSCL tools for developing mathematical proof skills. I introduce a model of proof in school mathematics that incorporates both empirical and deductive ways of knowing. I argue that two major forces have given rise to this…

Describes the derivation of the parameters incorporated into computer programs that are utilized to draw hypocycloids, which are the loci of points traced out by a point on a disk as it rolls against a circle and its interior. Includes information to obtain copies of the programs described. (JJK)

Use of background grids from Logo programs is involved in this activity on angles and slopes. The value of such activities is then discussed. (MNS)

Suggestions for using microcomputers in statistics instruction are described, with programs that a seven-year-old could write using LOGO. (MNS)

Describes how Logo computer simulations, or microworlds, were incorporated into a series of lessons on the nature of probability. Data were generated and displayed using Logo. (MKR)

An algebra class activity of creating computer graphics by connecting a series of ordered number pairs with subsequent investigations involving the transformations of the functional relationship between the elements of those ordered pairs is presented. (JJK)

Described are examples of classroom exercises that use interactive graphics software for personal computers to enhance the teaching of statistical concepts by allowing students to generate multiple examples, make conjectures, and verify their findings about the concept. The transfer of this interactive tool to other subject areas is suggested.…

Demonstrates the use of graphing technology to help students develop and interpret three models of jury behavior and explore the potential effect of such actions as changing jury size. MathCAD, an electronic notebook was used. (Contains 10 references.) (MKR)

Discussion of elementary school mathematics instruction focuses on computer graphing programs to teach subtraction that use pictorial representations as well as graphs. Classroom graphing activities for first graders are described, and evaluations of student progress based on pre- and posttests are discussed. (two references) (LRW)

The role of computers (especially microcomputers) in the mathematics curriculum and suggestions for using them in mathematics instruction are discussed in this yearbook. The 27 articles are presented under five headings. Part 1, Issues, includes articles on comprehensive instructional computing, possible new curricula, and a syllabus for a…

This guide is designed to provide teachers with guidelines and suggested activities for teaching a one-semester advanced programming course--BASIC Programming II--for the ninth through twelfth grades. Although primarily oriented toward mathematics, the guide does offer sample applications in business that also address the needs of students with a…

This yearbook contains 20 articles pertaining to geometry instruction. Part 1 considers "Perspectives," with articles on the van Hiele model, resolving dilemmas, implications of using computer graphics, chances of geometry surviving in the secondary curriculum, and role of Euclidean geometry. Part 2 provides "A View of Problem Solving and…

Many organizations and experts in the field of mathematics education have recommended the inclusion of technology and, more specifically, computer programing within the course of study for the teaching of school mathematics. The incorporation of these recommendations with respect to the teaching of remedial mathematics poses a problem, since…

This book demonstrates, for teachers at all levels, applications of technology tools for the effective learning and teaching of mathematical skills and concepts as suggested by the National Council of Teachers of Mathematics (NCTM). It focuses on the use of general-purpose computer tools in the mathematics classroom, with an emphasis on problem…

This paper presents a research study of children using on-screen manipulatives (objects represented graphically on the computer screen) in learning mathematics. The paper begins by offering the rationale for the use of manipulatives in mathematics education, an assessment of why manipulatives are not more commonly used in schools, and a discussion…