Some uses of a computer in a high school statistics class are presented. The increased student involvement in the lesson is seen as a result of the line demonstration of the mathematical concepts involved. A special application program written in BASIC is included. (MP)

An approach to teaching geometry is promoted that allows students to decide for themselves what they could prove from given information. Such an approach allows pupil involvement in the personal process of discovering mathematical ideas and formulating problems. It is noted these methods will not work for all. (MP)

These exercises are designed to expose students to the nature and effects of inflation and consumption rates. Pupils are expected to see how long it takes for costs to increase to certain levels, and how quickly various growth rates can deplete a finite resource. Worksheets suitable for duplication are provided. (MP)

A problem that is seen to allow room for student discovery and exploration is detailed. A discussion starts with an examination of the generation of a general equation for the sum of a set of consecutive integers, and leads to an exploration of more complex sums. (MP)

Try to learn all you can about a plant in the winter. As the season changes, you can see what the dried seed pod is like in bloom. You are a convert if you notice a spectacular show of summer wildflowers and wonder what sort of winter weed will result. (Author/CM)

Due to increasing energy demands and decreasing supplies, it is important for teachers to provide students with a solid foundation for energy decision making. Activities are presented which offer hands-on experiences with four sources of energy: wind, water, sun, and fossil fuels. (JN)

Guessing is seen in all forms to be a creative and critical process which has practical and scientific utility. The goal of science in early childhood is viewed as having children make better guesses. Ways of instruction that create and develop an atmosphere for guessing are detailed. (MP)

The unmarked protractor appears to have been ignored in considerations of construction tools other than the standard straightedge and compass. Some geometric problems are presented which are designed to be done using only the unmarked protractor. They are thought to provide challenges to better students. (MP)

Describes the history, definition, advantages, and objections to discovery learning methods in science. Includes alternatives to these methods. (DS)

Details of a class exploration of graphs that drew upon knowledge about the behavior of particular kinds of functions and applied them in a new context are provided. (MP)

Cones as containers and envelopes are discussed with appropriate activities for middle grade children provided. (MP)

A set of programs, designed to supplement a high school or college course in trigonometry, is described. Student exploration is stressed. (MP)

Points out how figurate numbers (numbers that can be represented by dots on particular geometrical polygonal arrays) can be used to permit upper elementary and secondary students to creatively search for patterns within and among series of figurate numbers. (RH) (RH)

Trip maps and trip boards are described, as are suggested destinations for class trips. The maps are used as multipurpose tools that any teacher can tailor to the needs of his or her own community and environmental studies and to the skills of children of any age. (Author/KC)

The Plowden Report drew heavily on Piaget's theories of cognitive development, especially his concepts of activity and discovery learning and readiness. But Piaget's theory is not a pedagogical one and it has little to say about teaching content and methods. Recently, criticism of his theory has grown. (Author/SJL)