This pamphlet includes many non-routine mathematical activities for the commonly used addition, multiplication, and subtraction tables and the Hundred Square. The included activities avoid routine, and often boring, drill problems. This publication provides non-routine practice for the maintenance of computational skills and the discovery of…

In this paper the author relates her experiences as an advisor to elementary school teachers on the subject of building curriculum. The philosophy expressed in her narrative is that learning begins when children seek the answers to their own questions and that curriculum can be developed out of children's immediate environment. The teacher must…

Evidence for suggested basic differences in the abstract reasoning capacity of Negro and Caucasian children includes consistent findings of significantly poorer performance by Negroes on Raven's Progressive Matrices (PM). This study investigated the PM performance of Negro children taught algebra via a discovery method of instruction. It was…

This economic course of study for twelfth grade presents an extensive variety of teaching/learning activities. Many of the readings, pictures, charts, cartoons, and tables are selected from current and authoritative sources, such as government reports and newspapers. These items are used as a basis for student questions and a variety of student…

Discusses the need to teach problem-solving skills in science. Differentiates between guided discovery, guided inquiry, guided exploration, and guided investigation. Describes how guided exploration evolved and how it can be applied to the science curriculum. Provides a flowchart for guided investigation. (TW)

Discusses a unit to teach reasoning and problem solving skills by helping students develop a systematic approach to problem identification, gather and analyze data, arrive at inferences and keep from jumping to conclusions. Describes the development of an activity investigating liquids designed to foster the needed problem-solving skills. (JM)

This paper reviews the literature supporting a discovery- or inquiry-based learning approach to science and describes its benefits for students and teachers. The creation and evaluation of a website related to discovery-based learning is also described. (Contains 20 references.) (WRM)

Reports on a class project that examined the manufacture of boxes and packaging to teach about design and technology. The class discovered basic manufacturing techniques by examining and disassembling cereal boxes. Field trips to stores provided more examples. Appraises the children's final projects and discusses acquiring materials. (MJP)

The Discovery Center of the College of Staten Island (New York) features a student-centered curriculum with open-ended, hands-on activities. Describes collaboration between local teachers and college faculty and the integration of computer technology. Highlights the Computer Science Department for K-12 teachers and students and the high school…

Discusses effective ways to develop and promote educationally sound music programs for preschool children. Covers three types of music learning centers as versatile and inexpensive resources for creating independent learning environments: singing centers, instrument centers, and listening centers. Suggests ideas for group time, and for promoting…

Maintains that nothing requires more meticulous preparation than guiding and supervising lessons in discovery and improvisation. Discusses the discovery learning techniques of the Orff-Schulwerk method of music instruction. Includes a teaching example based on the National Standards for Arts Education. (CFR)

Teacher's abilities to remain sufficiently faithful to predefined learning scenarios are examined via case studies. The behavior of 2 teachers during problem-solving sessions in geometry with 13-14 year olds exhibited 2 types of factors that tend to hamper scenario reproducibility: constraints on the teacher resulting from the teaching situation;…

Describes the Plane Geometry System computer software developed at the Educational Computer Systems laboratory in Sofia, Bulgaria. The system enables students to use the concept of "algorithm" to correspond to the process of "deductive proof" in the development of plane geometry. Provides an example of the software's capability…

Describes activities that use the geometric construction capabilities of the Geometer's Sketchpad computer software to explore triangles. Topics investigated include angle measurement, the sum of the measures of the angles of a triangle and a five-pointed star, triangle classification, and area and perimeter of a triangle. (MDH)

Explores the role that symbolic-graphical calculators can play in the current calls for reform in the mathematics curriculum. Discusses symbolic calculators and graphing calculators in relation to problem solving, computational skills, and mathematics instruction. (MDH)