Asserts that, given proper preparation at the elementary and middle school levels, high school students can learn to improvise stylistically appropriate harmony, rhythm, and melody. Provides suggestions for teaching choral improvisation. Maintains that improvisation success must build on what students always know--melody. (CFR)

Presents a series of hands-on activities for teaching about continents and oceans. Includes projects on (1) why earth is the blue planet; (2) continent names, shapes, and locations; and (3) continental drift. Discusses use of poetry, music games, mathematics, and science to interest students. Suggests ending with using maps in following directions…

Presents an art educator's reflections upon his career. Discusses psychological views of art, the role of the arts in enlarging human knowledge, and implications for the curriculum. Describes teaching as an artistically pervaded activity. Reveals how the educator's experience in the arts has influenced his thinking about education. (KM)

Presents three teaching ideas involving (1) results of participation in the annual American Statistical Association's poster contest for students in grades K-12; (2) a variation on an annuity problem in which the contribution each year is increased by a given percentage; and (3) concrete activities to help students understand the meaning of radian…

Describes two investigations suitable for grades seven and eight that explore the properties of the figure created when the midpoints of an equilateral triangle or square are joined. (MDH)

Three students describe how teachers were able to make the learning of history exciting and encourage historical investigations. The use of primary sources of information to stimulate interest in history is recommended as a means of providing curricular differentiation for gifted students, and activities using primary sources are described. (JDD)

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)

Presents 5 school and home activities for the K-2, 3-4, 5-6, and 7-8 levels appropriate for beginning the school year that incorporate problem solving, collecting and analyzing data, and exploring patterns. Topics include a shopping spree, seat assignment, map-interpretation skills, and probability. Includes reproducible worksheets. (MDH)

Discussed is the place and teaching of trigonometry in a NCTM Standards-based mathematics curriculum. Presented is how these standards can be implemented in a technology-rich environment that encourages reasoning, communication, problem solving, and confidence building. Examples focus on functions, graphical sense, modeling, and identities. (KR)

Suggests that a discussion-based approach focused on experiences of actual environmental issues, encountered problematically, should characterize environmental education activities. An ecology exercise dealing with organic pollution of a river provides a context for the educational principles and ecological concepts included the study. (24…

Describes the modern hot-air balloon and the physics of ballooning. Proposes that students construct their own hot-air balloon and presents an experiment calculating the time needed for a balloon to rise to the ceiling of a gymnasium. (MDH)

Discusses the rationale and use of problem fields which are sets of related and/or connected open-ended problem-solving tasks within mathematics instruction. Polygons with matchsticks and the number triangle are two examples of problem fields presented along with variations in conditions that promote other matchstick puzzles. (11 references) (JJK)

Concrete experience should be a first step in the development of new abstract concepts and their symbolization. Presents concrete activities based on Hyde and Nelson's work with egg cartons and Steiner's work with money to develop students' understanding of partitive division when using fractions. (MDH)

Presents three stories from mathematics history that can be integrated into classroom teaching: (1) the account of how Eratosthenes measured the circumference of the earth to discuss the concept of units in measurement, (2) ideas from Archimedes, Vite, and Descartes to introduce pi, and (3) the discovery of the Cardanic formula as an example of…

Presents eight points to emphasize when teaching the concept of place value. Contends that converting numbers from one base to another helps students understand the concept of place value and the importance of context in establishing meaning. Provides a BASIC computer program to make conversions. (MDH)