This paper reports on a pilot study of 34 sixth-grade students engaged in mathematical explorations that was carried out in the context of a national Logo project in Costa Rica. Students worked in pairs investigating a mathematical microworld written in Logo. The investigation had three phases: (1) open exploration of the microworld, during which…

These worksheets suggest activities through which secondary school students may be introduced to the ideas of simulation. All can be played as games to give students a feel for the situation modeled; most use coins or dice and a few use random digits. Directions are detailed for each of the 17 worksheets, with variations suggested for many. (MMS)

The achievement of bilingualism appears to have positive consequences for the bilingual child, enhancing universal aspects of cognitive functioning available to all normal children. However, little is yet known about the interaction between educational treatment and the input factors the bilingual child brings to the situation. Focusing on the…

This curriculum guide, part of a series of science units, provides for differentiation of emphasis of subject areas at different grade levels. It is intended that the unit will be studied in depth by grades 1, 4, and 6. Kindergarten, grades 2 and 3 will study the unit in less detail. "Our Wonderful Sun" is studied in Kindergarten, "Earth in Space"…

A study in which Logo programming was used to teach problem-solving skills to fourth to eighth grade students is described. The results, and their implications for further use of the computer to teach higher order thinking skills, are discussed. The possible use of Prolog programming to teach reasoning skills is described. (JL)

Discussed is the teaching method called the learning cycle and how it can be incorporated into science activities. Included are examples of how teachers and students can use the learning cycle to produce instructional materials. (KR)

Presents 5 activities for the K-1, 2-3, 4-5, 6-8 grade levels and for in the home in which students explore the concept of combinations. Each activity includes a lesson plan to investigate a combinatorics problem appropriate for that grade level. Provides reproducible worksheets. (MDH)

This empirical investigation, implemented with a computer program, examined the influence of graphical and numerical representations on the discovery process involving iteration sequence properties and concomitant problem-solving abilities for 79 eleventh grade students and 22 secondary mathematics teachers. Results indicate that heuristics and…

Presents examples of questions and answers arising from a hands-on and exploratory approach to discrete mathematics using cuisenaire rods. Combinatorial questions about trains formed of cuisenaire rods provide the setting for discovering numerical patterns by experimentation and organizing the results using induction and successive differences.…

Offers calculus students and teachers the opportunity to motivate and discover the first Fundamental Theorem of Calculus (FTC) in an experimental, experiential, inductive, intuitive, vernacular-based manner. Starting from the observation that a distance traveled at a constant speed corresponds to the area inside a rectangle, the FTC is discovered,…

Twelve middle school students, working in pairs, used a computer microworld to explore introductory geometric transformational concepts. Despite a tendency for symbolic overgeneralization, the students were able to use visual feedback from the microworld and discussions with partners to correct their own mistakes. (Author/JJK)

Presents seven scenes showing everyday classroom situations that give students the options of applying their own problem-solving strategies to solve everyday problems of life and enable them to experience mathematical power coming from self-initiated insights into mathematical concepts. (MDH)

Discusses "connectionism," an alternative learning model wherein meaning resides in the function of the whole state of a network, rather than being localizable in certain symbols or areas. Topics discussed include integration with other learning models; the culture of the mathematics classroom; and characteristics of alternative…

Describes Socratic Dialogue Inducing (SDI) laboratory methods and procedures developed to increase conceptual understanding in introductory physics laboratories. Gives an example of a typical beginning SDI lab manual section and a representative Socratic dialogue. Describes several examples of laboratory experiments developed for the SDI method.…

A videotape series produced by the Annenberg/CPB Math and Science Collection demonstrates college and secondary students' misconceptions about everyday phenomena and advocates teaching for understanding. Third International Science and Mathematic Study data show American and German teachers' interest in procedures and algorithms, compared with…