The mathematics laboratory is described as being not just the use of concrete teaching aids but involving a new philosophy of how children learn and the teacher's role in the facilitation of learning. (CP)

Plato's Academy could be the model for the university in 1996, a center for thought and criticism. (Editor)

Lecture given before the Annual Conference and Course on Reading (23d, University of Pittsburgh, Pittsburgh, Pa., July 10-21, 1967).

Children's natural enthusiasm for science is too often destroyed by the way the subject is taught. An elementary school teacher explains how to instill in young students an interest in science and a desire to understand why things happen as they do. (PP)

An exploration approach with calculators that promotes student investigation and development of mathematical processes and concepts is highlighted. The presentation helps to highlight the enormous potential of calculators to facilitate new and imaginative approaches to certain areas of number work, and shows how student interest is promoted. (MP)

Activities used with seventh and eighth grade students in Western Australia are described. The instructor guides pupils towards experimental solutions and encourages discovery of solutions for similar and more general problems. Investigations include study and construction of polygons, polyhedra, and one and two-sided surfaces. Commercial kits are…

Some functions on digits of positive integers are presented as possible sources for useful investigations by students, particularly through the use of calculators and computers or in the writing of small proofs. The material is designed to encourage students to conduct their own investigations. (MP)

An example of a lesson involving calculators that focused on calculator use is given. An examination of the traditional algorithm by the students led to student-directed investigations. (MP)

The activity described helps students develop facility in working with two-dimensional coordinate systems. Many students find the activity fascinating, so it can be used to motivate students to become involved in a number of explorations and to engender positive attitudes toward mathematics. (MP)

Several kinds of special dice are displayed and the various winning probabilities in games that could be played with them are discussed. Patterns for dice construction are provided. (MP)

The use of a ruler with two parallel Straight edges as a tool in geometric constructions is presented, based on ideas that are fairly standard in high school geometry courses. The constructions are seen as potential challenges that provide opportunities for inventiveness by students. (MP)

Activities for calculating experimental and theoretical probabilities are presented. Worksheets designed for duplication for classroom use are provided. Suggestions are given for additional problems that could be generated from the original simulation, and answers to questions on the worksheets are included. The activities simulate parachute…

Geometric construction problems are recommended as sources of stimulating exercises for mathematics classes. (MP)