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)

Contends that what is being proposed as thoughtful or authentic teaching in the social studies, particularly in geography and history, is similar to the "New Social Studies" movement of the 1960s and 1970s. Discusses the origins, development, and decline of the new social studies, using one program, Project Africa, as a model. (CFR)

The Teachers Academy for Mathematics and Science, conceived by Leon Ledermann, is a program to infuse inservice K-8 teachers with enthusiasm to teach mathematics and science. Instructional methods utilized are based on discovery learning. Describes implementation of the program in Chicago and efforts to spread the program into other urban areas.…

Investigates a complex aptitude treatment interaction (ATI) of intelligence and metacognitive skill as aptitudes with structuredness of learning environment as treatment, based on a study of undergraduates in simulation environments. Highlights include computer-assisted learning and experiential learning; ATIs and discovery learning; and learning…

Children learn in a variety of contexts and from a variety of teachers, including their peers. It can be stimulating for children to examine the learning process and identify their own learning milestones. Brief reviews of stories about family and outside lessons and an activities sampler are provided. (Author/AEF)

Discusses ways science can be included in every activity of the preschoolers' day. Describes four characteristics of young children that are important to remember when planning science activities. Provides guidelines for developing and evaluating science activities. Presents a preschool unit on insects and offers suggestions for incorporating…

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…

Describes the use of a microcomputer-based authoring system to facilitate student-centered discovery oriented learning in an undergraduate social science course. Use of the authoring system to implement student-generated experiments, to become familiar with statistics and experimental methods, and to promote empirical thinking is discussed. (14…

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)

Discussion of computer simulations used for exploratory learning focuses on the design of a hypothesis scratchpad that students can use for hypothesis generation and testing. An experiment with college chemistry students that compared three versions of the scratchpad is described, and the effect of the scratchpads on learning environments is…

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)

This activity book for teachers and students presents ideas for lessons on Christopher Columbus. Three sections offer teaching ideas and student activities focusing on Columbus's inspiration and preparation for departure, the science of navigation and the voyage, and the pros and cons of changes brought about by Columbus's voyage. (SM)

Describes an inexpensive spectrum projector that makes high-dispersion, high-efficiency diffraction gratings using a holographic process. Discusses classroom applications such as transmission spectra, absorption spectra, reflection characteristics of materials, color mixing, florescence and phosphorescence, and break up spectral colors. (MDH)