Attempts to synthesize various logical, psychological, and educational ideas to provide a useful guide for the classroom teacher to follow in using discovery curriculum. Outlines the discovery technique in six steps. (Author/RK)

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…

Part of a collection of papers commissioned by Foundations, a project designed to identify career development needs of students entering the National Technical Institute for the Deaf (NTID), the paper examines implications of discovery and expository learning for hearing impaired students. Differences are considered between the discovery method,…

Explores families of parabolas that result from the graphs of quadratic functions. Computer software allows students to quickly depict a series of graphs and make conjectures about emerging patterns. Discusses cases in different parameters in the quadratic are varied to produce different effects in which the parabolas. (MDH)

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)

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)

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)

Describes a unit on magnetism that utilizes hands-on activities in which students make hypotheses for discrepant behavior, discover whether a magnet attracts one object through another, measure the strength of magnets, explore levitating paper clips, and play a game dependent on magnetic attraction. (MDH)

Discusses the use of the computer software MINITAB in teaching statistics to explore concepts, simulate games of chance, transform the normal variable into a z-score, and stimulate small and large group discussions. (MDH)

Describes the Microworld Chance, a simulation-oriented computer environment that allows students to explore probability concepts in five subenvironments: coins, dice, spinners, thumbtacks, and marbles. Results of a teaching experiment to examine the effectiveness of the microworld in changing students' misconceptions about probability are…

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)

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)

Presents two worksheets that ask students to count and classify the triangles that can be formed with a given total number of toothpicks or a given number of toothpicks for one side of the triangle. A third worksheet asks students to identify patterns observed during the investigations. Provides reproducible worksheets. (MDH)

Describes a self-managed learning approach designed to help engineering students take charge of their own learning. Discusses marker events, exploratory learning versus linear instruction, knowledge through self-discovery, information retrieval, production through writing and speaking, and promoting a mature response. (TW)