This student discussion guide is intended to accompany "Discovery in Mathematics," a text for teachers. This guide is a part of the developing curriculum program that helps students to organize their mathematical experiences in the early school years. The materials in this booklet deal mainly with fundamental arithmetic and algebraic…

A laboratory study was performed with four levels of discovery and two levels on an overlearning factor. An improved experimental paradigm was chosen so as to avoid a number of confusions which have obscured previous research. An operational definition was developed for discovery and guided discovery and discovery teaching, and inquiry learning.…

This study reports on the comparison of three methods of teaching general mathematics: (1) non-verbalized student discovery of principles and generalizations, (2) student-teacher development of principles and generalizations, and (3) teacher statement and application of principles and generalizations with illustrations in a problem set followed by…

Two sets of low-cost instructional simulation materials for use in teacher education programs were developed, one dealing with problems of classroom management and one dealing with discovery teaching. An effort was made to expose students to certain principles of classroom management or discovery teaching before they used the simulation materials.…

Included are two of the eight units of the Intermediate Science Curriculum Study materials designed for grade nine students. These are "investigating variation" and "winds and weather." Introductory notes to the student explain how the book is to be used. Each chapter starts with a short statement of a general problem, then…

The study dealt with the effect of discovery-type teaching methods on the achievement, attitudes, and work-study skills of low achievers in mathematics. Materials, equipment, and lesson plans were selected or written for half of the sample of ninth and tenth grade students having a low mathematics grade record, and being below average in two of…

The discovery method, according to the author, promotes logical thinking, is motivational in nature, makes learning more permanent, produces more usable knowledge, and gets students actively involved. A discovery lesson is characterized by the following: (1) the concept to be learned is not announced, (2) experiences and activities are developed…

The Learning to Learn Program was designed to help children acquire the abilities for dealing with challenges and problems. The program provides a unique preschool experience for disadvantaged children. The Learning to Learn curriculum has maintained its original characteristics throughout the years and is designed to help children develop…

The authors briefly review some of the empirical studies which have compared discovery learning with expository learning. Essentially, their study replicates an earlier one in which these learning strategies were compared on two dimensions: (1) immediate acquisition; and (2) retention of concepts. Subjects were 228 seventh graders who had not…

This paper reports on a study which was performed to replicate and extend the findings of Hendrix with regard to verbalization and discovery learning. College algebra classes were randomly assigned to three verbalization conditions: (1) no student verbalization of generalizations required, (2) students make written verbalization of generalization,…

Stresses the value of encouraging students to question the results of both obvious and the less obvious scientific activities. A simple science activity built on chemical reactions. (EB)

This activity unit leads students to discover facts related to the maximum area enclosed by figures with given perimeters. Three worksheets are included. (MP)

Described are results obtained by students investigating double-diagrams, including discoveries of properties and accompanying proofs. (MP)

This study correlates high school students with different exploration preferences with classrooms having different social exploration climates, finding that in high exploration classrooms, students high in exploration preference were more satisfied and better adjusted. (JMF)

Describes five types of language research projects that enable students to examine language for themselves. (DD)