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)

Details are given of a university course that utilizes computer programing to help students explore aspects of number theory. The course is thought to provide acceleration of the discovery process to the point where pupils can study a full range of topics. (MP)

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)

Briefly discusses several frequently encountered barriers to learning--negative impact on inner self, threatening situations, rewards, and blockage of spontaneous exploration--from both theoretical and practical perspectives. Ways in which Logo is useful in removing these barriers are noted. (MBR)

Reviews Logo programming language's developmental history, including Papert's vision, creation of LISP, and evolution of Logo from LISP; discusses reasons for Logo not becoming a commonplace programming language; describes Logo program design and its utility for serious programmers; and lists sources of further information on Logo. (MBR)

LOGO (a computer language) is designed to provide an environment in which learners determine a problem to solve, make choices, experiment, try out solutions, and build on what they already know. Student activities using LOGO and the teacher's role in a LOGO classroom are discussed. (JN)

Twenty-three children in each of 2 first-grade classrooms were observed as they worked in pairs with the computer language Logo in a learning-by-discovery context. Describes children's behaviors related to planning, correction of errors, reflection, causality, and procedure-writing. (RJC)

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)

Describes insights and attitudes toward computer-based learning which developed during design of "Computer Power," an introductory programming curriculum for junior high, high school, and junior college students. Learning and thinking, computer power meta-goals, and computer power subject matter goals are highlighted. (EJS)

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)

Logo creator Seymour Papert discusses ways Logo can be improved to accommodate different learning styles and strengthen word processing and list processing capabilities. In an interview, Papert discusses computers' influences on learning, Logo's underlying concepts, teacher use of Logo, Logo's discovery learning approach, and development of Logo…

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…

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)

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)