This research aims to explore the role of physical representations in young children's numerical learning then identify the benefits of using a graphical interface in order to understand the potential for developing interactive technologies in this domain. Three studies are reported that examined the effect of using physical representations…

This paper reports on a case-study design experiment in the domain of fraction as number-measure. We designed and implemented a set of exploratory tasks concerning comparison and ordering of fractions as well as operations with fractions. Two groups of 12-year-old students worked collaboratively using paper and pencil as well as a specially…

Purpose: The purpose of this scientific monograph is to show new and creative approaches to different school subjects in primary and secondary level. Methodology: Interdisciplinary and international comparative approaches were used. Now according to the 7th Framework Program, the preferred form of Science Education (www.scientix.eu) is preferred…

Suggests a series of ratio activities that make use of a computer to produce graphical collections of objects in a grid with variable dimensions. Extends content to the areas of proportions, statistics, probability, programming, and problem solving. (PK)

Lists and describes a program (Microsoft Basic) which: computes the value of a numberic function of two variables (x/y); uses x/y values to determine a spot on the screen; uses the function value to designate a color; and displays the color at the proper spots on the screen. (JN)

Reviews "Dueling Digits," an arcade-style computer game, in which the player creates mathematical equations. Discusses features of the program, educational value, design quality, documentation, and ease of use. Tested on Apple II/Apple II-Plus, the program (requiring 48K, disk drive and game paddles/joystick) is rated as an excellent…

Presents various exercises and programs to demonstrate how low-resolution graphics (for Apple microcomputers) can be utilized in the mathematics classroom. (JN)

Discusses high resolution (hi-res) graphics programing on the Apple microcomputer, emphasizing its use in the mathematics classroom. Sample programs to plot dots and diagonals as well as programs for creating more complex visuals and patterns are included. (JN)

Presents a computer program (Atari basic) called Animath (animated math program). A modified character set is to create a sauntering gorilla who, for example, jumps up and down when a problem is correctly solved. Extensive documentation is included. (JN)

Argues that Turtle Geometry has a great deal to offer mathematics teaching and learning. Suggests that it helps develop general problem-solving strategies and encourages new approaches to teaching and learning. (PK)

PROLOG is a relatively new programing language with graphics capability. In addition, the language has a declarative rather than a procedural structure. Two programs illustrating use of the language in the mathematics classroom are presented. (JN)

Describes a sequence of activities for experimenting with scaling and includes a method for revising any turtle graphic procedure so that it can be drawn to a variety of scales. (PK)

Describes an activity intended to incorporate investigation into learning of mathematics. The example cited involved having fourth graders study perimeter and area of rectangles using Logo. The author suggests that what began as a simple exercise in investigating geometric concepts became an exciting exploration that touched on many topics. (PK)

Provides an introduction to the mathematics and art of the complex plane. Includes two computer programs written in GW BASIC to facilitate a reader's initial investigation. Identifies additional software resources. Stresses the appeal to future scientists, mathematicians, and artists. (CW)

Illustrates the exploration of random and chance events with a microcomputer. Demonstrates this principle using turtle graphics, coin flips, and die rolls in a student exercise involving distance and direction on a number line. Includes the necessary LOGO programming statements to use this method. (CW)