Presents a developmental approach to teaching programing at all educational levels which stresses concepts rather than syntax; provides motivation, relevant examples, and activities; proceeds from concrete to pictorial to abstract according to age and experience of learners; and utilizes increasingly complex activities building upon and extending…

Describes students' investigative work that resulted from playing the game Set in an attempt to show how such games can be used to develop mathematical reasoning. (ASK)

Children's natural curiosity should be more adequately satisfied, resarch has suggested--especially in grades 4 to 6. Traditionally, the scope and sequence approach which is a learning-what-others think or have thought rather than a learning-to-think-for-oneself method begins during the middle school years. It is interesting to observe that…

The "word problem" is stated for a given collection. Facts regarding Dehn's Algorithm, definition of Thue systems, a rewriting system, lemmas and corollaries are provided. The situation is examined where the monoid presented by a finite Thue system is a group. (DC)

Describes four projects that support the transition from an abstract to a concrete notion of the effective use of technology in the secondary school classroom: The Interactive Mathematics Program, Systemic Initiative for Montana Mathematics and Science, University of Chicago School Mathematics Project, and Connected Geometry. (MKR)

Describes the different types of reasoning in scientific research activity. Outlines three different but complementary ways to integrate history into the presentation of science. Considers and illustrates the close historical relationship between mathematics and physics. (Contains 50 references.) (ASK)

An activity in a college statistics class had students go to a field of grass and clover and use a variety of estimation, probability, sampling, distribution, and calculation techniques for determining the number of flowers in the field. The activity focused on the discovery process, encouraged abstract reasoning, and was pleasurable. (MSE)

Despite the importance accorded to helping students make conceptual connections and arrive at a more sophisticated understanding of how ideas, concepts, theories, and explanations interact with and inform one another, educators have few maps to help them describe the process by which students learn to make these connections. Through skill theory,…

Presents young children's concepts related to probability grouped by definite, possible, and definitely not. Discusses the teaching methods of the probability concepts. (YP)

A project to improve higher level thinking skills of elementary students in Hillsborough County, Florida is reported as a feature article (66p). An introductory overview chapter reviews the literature on teaching thinking skills. Chapter 1 provides background information on the community and the two schools selected for the practicum. The second…

As part of a study of ecology, students in a second and third grade classroom developed board games. The research, creation, rule making, naming, and testing of several games are described. The games' levels of abstraction, presentation of factual information, content, and potential for sustained interest are considered. (LB)

This article describes 6 of the 17 school computer projects awarded $600,000 in microcomputer equipment and software in the "Wheels for the Mind" program established by Apple Education Affairs. Apple would provide advanced courses for rural schools, set up an intercultural network, develop reasoning skills, train teachers, and create…

Two articles briefly review experiences of secondary schools using DIALOG's Classroom Instruction Program, and four New Jersey school districts that have experimented with using Dow Jones News/Retrieval Service to teach online searching at both the elementary and secondary levels. An annotated bibliography lists 12 relevant journal articles and…

Describes the approach taken in an education computing course for pre- and in-service teachers. Outlines the basic operational, analytical, and evaluation skills that are emphasized in the course, suggesting that these skills go beyond the attainment of computer literacy and can assist in the effective use of computers. (ML)

Well-known questioning strategies, built on question classification systems, are examined. Types of question classification systems are identified as: "hierarchical," which are sequential and cumulative; "non-hierarchical," which are based on elements which should not be rank ordered; systems which are "context-bound" to specifics; and…