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…

Two methods of teaching computation to undergraduates in a department of technology are described and the results are contrasted quantitatively and qualitatively. Conclusions indicate that a learner-directed discovery approach is best suited to this type of course. (Author/JEG)

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 paper describes part of a course for college freshmen entitled "Computation, Reasoning, and Problem Solving," which uses the LOGO programming language to integrate computer programming skills, collaborative problem solving skills, and writing skills. Discussion of the computer programming component includes two of the LOGO problem…

A lesson using Logo was found to be effective when working with concepts of division. It emphasizes relationships between arithmetic and geometry in a novel way, and has been used with students in grades two and four. (MNS)

Describes a series of programs written in Logo that have been used successfully to support young children's programing efforts. These programs remove the mechanical obstacles of typing, spelling, and estimating distances; remove the demands of abstract planning and ordering instruction; and provide a set of programing procedures. (MBR)

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)

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…

Described is an introductory probability and statistics class focused on teaching the concepts of sampling and binomial distributions through a strategy based on teacher and student generated simulation using the Boxer computer language. The value of integrating programing with teaching subject matter is demonstrated, and sample student work is…

The seven units developed for the Math Network Curriculum Project (MNCP) incorporate an active approach to the study of mathematics using microcomputers. The intent is to have students explore new concepts by experimenting with different situations. Most teachers of mathematics have not learned mathematics in an active way, and thus need to…

This book describes the nurturing of a variety of learning styles through the use of the Logo programming approach, especially for persons with special needs. The book interweaves case descriptions of microcomputer uses with theoretical analysis, to provide educators with a framework for thinking about their students' thinking. Descriptions of the…