The progression from simple interest to compound interest leads naturally and quickly to the number e, involving mathematical discovery learning through writing programs. Several programs are given, with suggestions for a teaching sequence. (MNS)

In traditional programming courses assignments usually consist of problems that are somewhat closed in nature. That is, students are usually given a rigidly defined problem statement and are provided with a set of data that they are to use to test their program to produce a unique result. While this approach makes evaluation easy, it discourages…

This guide was developed to assist teachers in achieving goals related to the development of computer awareness in students in grades 4-6 in the Canadian province of Manitoba. An overview of the program describes a set of basic concepts, skills, and attitudes relating to computer technology, and provides information on activities that can be used…

Explores a particular method of searching for roots that lends itself well to discovery learning through writing a computer program. The teacher-student interaction is given, and two computer program listings are included. (MNS)

This guide was developed to assist teachers in achieving goals related to the development of computer awareness in junior high school students in the Canadian province of Manitoba. An overview of the program describes a set of basic concepts, skills, and attitudes relating to computer technology, and provides information on activities that can be…

Much constructive computer and programable calculator activity can be stimulated by BASIC programs that are only three or four lines in length. This article illustrates several ideas with accompanying BASIC program, particularly related to the learning of algebraic concepts, that can be explored with both elementary and secondary mathematics…

Suggestions are given for having students write or modify computer programs for listing prime positive integers and continued fractions, to help them discover mathematical concepts. Sample programs are included. (MNS)

Discussion of Logo use to teach children computer programing covers the educational theory behind Logo, how it differs from other programing languages, its educational promise, its graphics capabilities, Logo research, and different versions available. It is argued that educational computing will succeed only if it provides new ways of teaching.…

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)

Three examples are given in which students create their own Logo software to explore the topics of number patterns and operations, fractions, and decimal parts in measurement. (MNS)

Some aspects of use of the LOGO programing language are discussed. The ideas focus on the creation of geometric patterns, particularly as viewed from the perspective of a beginner with this language. The material is designed to stimulate individual experimentation and exploration. (MP)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…

Offers LOGO as an environment that facilitates the development of cognitive strategies useful in problem solving. Presents LOGO activities requiring students to combine preprogramed procedures to produce worksheet patterns. Using this approach promotes using LOGO as a vehicle for problem solving and results in a more positive attitude toward LOGO.…

Discusses possible approaches to solving the problem of how many different triangles can be formed on an n x n geoboard and the different geometric concepts utilized to formulate a solution. Approaches include counting strategies, writing a computer program, and using difference equations. (MDH)

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…