Presents a series of 5 reproducible worksheets for grade levels 5-10 that provide hands-on activities to help develop the concept of slope. (MDH)

Describes how graphing calculators can be used to explore different functions, from linear to higher degree polynomials. "Globs" (circles) are drawn around randomly plotted points on the screen, and students devise functions that pass through as many of these globs as possible. Variations on the game are also mentioned. (DPM)

Discusses environmental education, noting that teachers' science backgrounds are not nearly as important as their showing interest in children's experiences and discoveries, respect for environment, and encouragement of close observation of the world. Suggests that to help children understand and appreciate nature, teachers can focus on having…

Described are activities within extended problem-solving settings which allow middle school mathematics students, particularly at-risk students, to determine applications for a wide range of mathematical processes and concepts. Emphasis is on reality-based projects which often require more than one step as preparation for future consumer…

Describes three activities using dominoes, playing cards, and the calendar to give students mathematical experiences reinforcing basic skills and problem-solving strategies that involve patterns, relationships, and functions. Students discover mathematical relationships underlying the magic tricks used in the activities. (MDH)

Presents a hands-on mathematics task that can be investigated experimentally to produce a sequence of numbers. Describes ways to extrapolate values of the table of numbers by formulating and verifying a conjecture related to the pattern in the numbers. (MDH)

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)

Describes three components of a seminar in mathematical problem solving for preservice mathematics teachers: (1) a cognitive component that accents particular phases of problem solving; (2) an affective component that allows for observation of skillful problem solvers; and (3) an investigative component that provides for independent study and…

Presents four stoichiometric problems and their solutions that use spot metal prices quoted from the newspaper to integrate economics and chemistry. (MDH)

Compared is an inquiry-oriented Biological Sciences Curriculum Study (BSCS) style laboratory approach with a more directive traditional approach on student outcomes in the cognitive and affective domains of learning. Differences in science achievement, reasoning ability, attitude, and stages of development are discussed. (KR)

The author analyzes his 11-year-old daughter's investigation of patterns in multiplication. In an investigation initiated herself, Becca generates hypotheses, discovers patterns, asks questions, and discards procedures that do not produce desired results. Providing a classroom environment that values questioning is a key recommendation. (MLN)

Describes design considerations that were made for a software prototype called the Virtual Library that were framed by cognitive research and learning theory. When completed, the software will assist preservice teachers in learning about educational psychology and instructional design. Topics include constructivism, exploratory learning, authentic…

Details the middle school implementation of an Academies of Inquiry and Talent Development enrichment program involving authentic-learning and real-life problem solving objectives. Considers start-up issues of orientation for students and parents, as well as teacher planning. Also considers issues of maintaining high standards, finding time for…

Discusses the Technology Enhancing Achievement in Middle School (TEAMS) approach to classroom design, which incorporates interdisciplinary teams, active learning, and technology as an instructional tool. Considers the nature of instruction, development of the approach, and research examining its effects. Includes lists of software and other media…