The author discusses various ways that children differ biologically and relates these to their needs during the learning process. Tutoring, individual inquiry, and mastery learning are included in the discussion. (SA)

Activities that allow students to represent patterns concretely before showing the patterns in color on paper are presented. Three basic activities are described, with suggestions made for extensions that allow further pupil exploration of multiples. Student discovery of relationships not found by the teacher is expected. (MP)

Two simulations designed to teach probability to middle-school age pupils are presented. The first simulates the one-on-one foul shot simulation in basketball; the second deals with collecting a set of six cereal box prizes by buying boxes containing one toy each. (MP)

The author describes a dialogue with his three-year-old daughter about numbers. He discusses aspects of mathematics education and how his views about how students acquire mathematical knowledge have changed. (MP)

Describes five environmental awareness activities which can be integrated into any elementary school classroom situation. Activity oriented experiences are described utilizing field experiences, group work, language experience, role playing and the inquiry method. Activity topics include the meaning of environment, introduction to natural and…

Recommends using a discovery approach to teach a mass communications survey course. Suggests an approach that makes use of group work on writing codes of ethics, current event photographs to discuss photojournalism history, a book of applicable readings in place of a textbook, and essay rather than multiple choice exams. (AEA)

An investigation of patterns in magic triangles leads to a number of discoveries concerning the sums of sides and corners. (MP)

The author feels that traditional methods of imparting knowledge do not lead to the development of human potential and that what is needed is learning which people seek for themselves. (MKM)

Explains the philosophy that forms the basis of a high school physical science course based on astronomy and the activity-based textbook that accompanies it. Cites specific examples of misconceptions related to astronomy and recommends various diagnostic and concept change strategies. (DDR)

Describes a game used in precalculus that builds interest and confidence in the uses of inverse functions. The game is preceded by a worksheet that enables students to discover that f(x) and f-1(x) are mirror images of the line y=x. (DDR)

Consideration of a definite integral in an advanced calculus class led to a great deal of mathematical thinking and to the joy of discovery. Graphing calculators allowed students to investigate quick solutions which should be regarded as stepping stones to additional investigation and rigorous proof. With slight modifications to their proofs,…

Babies and young children learn through extensive experimenting and by being encouraged, unknowingly, by parents to use their multiple intelligences. Later, children are forced to conform to the narrow intelligence valued by the formal education system; those who can not adapt drop out. By using multiple intelligences, we access a greater portion…

Describes the science buddies program that pairs a 7th grade life science class with a 2nd or 3rd grade class in a yearlong partnership of science adventures. Includes sample activities and National Science Education Standards related to the activities. (Author/KHR)

Presented are four mathematical discoveries made by students on an arithmetical function using the Fibonacci sequence. Discussed is the nature of the role of the teacher in directing the students' discovery activities. (KR)