Family Math and Science Nights engage students and parents in active investigations tied to the curriculum in a fun, informal environment. Through this program, families actively explore math and science ideas, discover together through guided inquiry, and apply their discoveries to solve a problem at the end. All activities are hands-on, use…

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 booklet can help college instructors breathe life into sociology classes by showing students how sociology is "done" in the real world. Twenty-nine exercises demonstrate to students how data are collected, how data are used to support or refute ideas, how data are interpreted, and the questions raised by different methods of research. The…

Student research projects are open-ended questions or sets of questions intended to give undergraduate students experience doing introductory mathematical research. Proposed is an investigation of a Faro shuffle that is performed by cutting the deck exactly in half and then perfectly interleaving the cards of the two halves. (Author/JJK)

Describes an activity in which geometry and trigonometry are studied using pyramids. Identical model pyramids are constructed from card stock, along with pyramids of different proportions and cuboids to use as controls. Also includes an investigation of some apparently non-scientific claims. (DDR)

Contends that introducing elementary students to history concepts is difficult because they have few reference points for comprehending change over time. Discusses the use of buttons for an inquiry-based activity designed to heighten student interest and learning. (CFR)

Many educators believe that middle grades schools have a responsibility to capitalize on the natural curiosity of young adolescents through the use of an exploratory curriculum to help students understand the world in which they live. This study examined the status of middle grades exploratory programs in Alabama. A 22-item questionnaire was sent…

Gives an example of an open exploration using trigonometric relationships in which the law of cosines can be deduced from the law of sines. Discusses the characteristics and value of the exploration process. (MDH)

Proposes replacing the term child-centered with child-sensitive to indicate more accurately the major role of teachers in determining the curriculum and activities offered to young children. In contrast to the laissez-faire, child-indulgent approach of many child-centered programs, a child sensitive approach would encourage teachers to capitalize…

Describes hummingbirds and how they can serve as sources of learning and enjoyment for young children. Gives information on feeding, breeding, and behavior of hummingbirds, and on their natural predators. Outlines activities for "discovery," making feeders, watching and charting hummingbirds, and other creative learning activities. (BGC)

Defines inquiry, a student-centered discovery process, and introduces Pathways to Knowledge(TM), an information process model that provides stages and strategies for anyone interested in gathering, using, and evaluating information. Describes the six stages of Pathways: Appreciation, Presearch; Search; Interpretation; Communication; and…

Presents a worksheet on graph paper that allows students to determine the perpendicular bisectors of given segments by folding the paper. Students then determine the slopes of the perpendicular bisectors and use inductive thinking to discover the relationship between the slopes of perpendicular lines. (MDH)

This review features new examples of using the computer relative to college-level mathematics to enhance pedagogy, solve problems, and model real-life situations. Included is a LOGO program that can be used to create and to stimulate subsequent investigations of spirolaterals, those figures generated by repeatedly drawing basic loops. (JJK)

Explores the use of dialogue and dramatization to reconstruct the formation of mathematical concepts. An appendix provides the synopsis of a 6-scene play that portrays the rise of negative numbers over a period of 300 years. (MDH)

Discusses possible approaches to solving the problem of how many different triangles can be formed on an n x n geoboard and the different geometric concepts utilized to formulate a solution. Approaches include counting strategies, writing a computer program, and using difference equations. (MDH)