Describes the results of a classroom trial activity to encourage communication in mathematics. Students were asked to write a short story or a joke or to create a cartoon about an aspect of mathematics, which was in this case isolating the variable or property of negative 1. The activity revealed creativity and allowed the teacher to determine how…

Discusses the use of the computer to encourage a versatile approach to learning involving both symbolic/logical and visual/holistic types of mental activity. Provides experimental data showing the effect of an enhanced Socratic mode of teaching. (YP)

Presents 2 teaching ideas: (1) incorporating art, poetry, and geometry in class projects, and (2) showing alternative ways to introduce the statement, "If the product of two numbers is zero...," particularly by changing the word "zero" to "10" in the statement. (MKR)

Exponential growth is examined through an example describing the number pattern formed by postage stamp issuance. Number tables and graphs are used to discover the functional relationship between the number of new stamps issued and time. (MDH)

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…

Presents five activities for the family and K-2, 4-3, 5-6, and 7-8 levels that focus on the connection between mathematics and music. Activities examine the mathematical concepts of counting, estimation, measurement, statistics, fractions, and patterns involved in the topics of rhythm, beats in a measure, music preference, the music scale, and…

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)

Assessed the achievement in addition, subtraction, multiplication, and division of 93 fourth graders before and after they received either computer or traditional classroom drill-and-practice instruction. Students who received computer instruction showed greater increases in achievement scores in subtraction and multiplication than did students…

The quadratic function can be modeled in real life by a suspension bridge that supports a uniform weight. This activity uses concrete models and computer generated graphs to discover the mathematical model of the shape of the main cable of a suspension bridge. (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)

Presents a series of activities developed from the "Arithmetic Teacher's" regular feature entitled "Problem Solving: Tips for Teachers" to help students develop skills in each of the four steps of Polya's problem-solving process: (1) Understanding the Problem; (2) Making a Plan; (3) Carrying Out the Plan; and (4) Reflecting…

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…

Introduces a cultural perspective in the teaching of mathematics. Describes the mathematical practices of African peoples and of the indigenous peoples of the Americas in relationship with numbers and numeration, design and pattern, architecture, and games of chance and skill. (MDH)

Utilizing geometric topics as examples, this article describes the uses of concept maps specific to the evaluation of teaching outcomes, the monitoring of student progress, and the introduction of learning activities, particularly the initiation of classroom discourse to encourage students to articulate their own ideas and to appreciate the ideas…

Proposes a novel method of introducing and promoting the topic of geometric sequences through the problem of calculating the number of games necessary to determine the winner of a single elimination tournament in which two, three, or more teams compete at a time. (MDH)