A method for teaching the product rule of differentiation in calculus is described. (MK)

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)

Some examples for investigating shapes in the environment are given. Circular objects, triangulation, symmetrical designs, and further investigations are listed. (MNS)

A plea is made that mathematics should be taught the way that mathematicians do it, using an exploratory approach rather than rule learning. (MNS)

A study of a class of numbers called 'Good numbers' can provide students with many opportunities for investigation, conjecture, and proof. Definitions and proofs are presented along with suggested questions. (MNS)

The Math Lab is a creative approach to teaching math concepts. Students are introduced to skills through several conceptual levels. Concrete level activities are followed by semiconcrete, semiabstract, and abstract levels of instruction. Examples of teaching methods for each level are offered. (DF)

The process of investigating some of the properties of diagonals and other geometric concepts with a group of 11-year-old girls is presented. Possible changes that could have been made in the lesson are discussed, and examples of individual student work are provided. (MP)

Typical difficulties involved in solving combinatorial problems are examined and seven common pitfalls are discussed. (MP)

Some classroom uses for magic triangles are illustrated and discussed. (MK)

This paper discusses a pedagogical technique called the discovery approach in teaching remedial and college algebra. Examples of how to introduce and enhance some algebra topics using this approach in mathematics classrooms are illustrated. It is argued that student performance would improve if more topics were presented in a discovery fashion.…

The material is designed to help pupils investigate how the value for slope in the equation of a line affects the inclination for the graph of an equation. A program written in BASIC designed to run on an Apple microcomputer is included. Worksheet masters for duplication are provided. (MP)

A unit on the quadratic equation is described. The discovery approach is used and the computer is integrated into the study of mathematics. (MK)

Originally written near the beginning of the "new math" movement, this article reflects on the role of student discovery, intuition, mathematics as an analytic language, and the problem of student readiness. (MKR)

Graph theory is promoted as a vehicle for using the discovery method. A lesson is presented to illustrate the method, and activities and questions for further exploration are provided. (MNS)

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)