Discussed are the vital properties that an operator must have to be called a derivative and how derivatives work. Presented is an extension of the derivative that uses least squares to find the line of best fit. (KR)

Described is a way to illustrate cyclic and dihedral groups through symmetry using corporate logos and hubcaps. Examples of the different kinds of symmetry groups are explained in terms of Leonardo's Theorem. (KR)

Presented is a way of extending the list of rotation groups to include all finite subgroups of symmetries of the sphere, up to conjugation in its full group. Included is Klein's method for enumeration of the finite subgroups. (KR)

Presented is a game using different types of dominoes that represents growth of seeds from the beginning of the universe. Included are diagrams of the types of seeds, instructions, and examples of the game play. (KR)

Describes how an interview project used in conjunction with a primary sources based curriculum enhanced history learning. Students were involved in gaining information from community citizens. Outlines the procedures involved in the interviewing process and discusses the benefits to students including increased content acquisition, skills, and…

Interest in mathematics can often be generated by seemingly nonmathematical items. A card trick from a course in recreational mathematics for middle school students is described. It involves several important mathematical activities: problem-solving analysis, making a conjecture and testing it, discovering, and verbalizing. (MNS)

A four-scene skit is presented which is designed to increase knowledge and understanding of how AIDS is transmitted, to describe the control measures necessary to prevent the spread of the disease and to increase awareness of what life would be like living with AIDS. Discussion questions follow the skit. (IAH)

Discussed is an application of number theory to cryptology that can be used with secondary school students. Background on the topics is given first, followed by an explanation for use of the topic. (MNS)

A supplemental curriculum based on the philosophies of Karl Popper, John Eccles, and Jean Piaget in which the self is seen as actively constructing its own reality was developed. Examples of learning activities used with emotionally disturbed preadolescents and adolescents are offered as is information on goals/objectives, methodology, materials,…

The focus is on using mathematical concepts and operations to decode holiday messages. Worksheets are provided for levels one-two, three-four, five-six, and seven-eight. (MNS)

Presents an interactive classroom technique to help students understand how the market can be used to arrive at a cost-effective method for pollution control. Emphasizes the understanding of the fundamental ideas that the optimal level of pollution is rarely zero and that marketable pollution permits are efficient means of control. (KO)

Some activities with tangrams and their use for investigating fractions, constructions, and percentages are presented, with worksheets included. (MNS)

Describes a case study which collected journals from, interviewed, and observed 23 children as they participated in a 6-week creative drama workshop using the Rutgers Imagination Method. Finds improvement in specific areas of learning, including vocabulary, imagery abilities, and dramatic behavior. (SR)

Maintains that one of the ongoing challenges of art education is to encourage the correct and effective use of terminology. Discusses expressionism, particularly in relation to landscape painting. Includes discussion of the background, techniques, and full-page color illustrations of four works by major expressionist painters. (CFR)

Presents a group of 24 innovative mathematics activities from teachers nationwide designed to sharpen elementary students' math skills. The article is part of a package of 100 creative ideas for keeping elementary students enthused about learning in language arts, science, social studies, and math. (SM)