Teaching ideas are presented on the following topics: the number line, earthquakes and Venn diagrams, homework, and flow proofs in geometry. (MP)

Graphs and charts are discussed in terms of levels of applications and skills necessary for effective use. Five activities, most appropriate for upper-elementary or junior high students, are suggested. (MK)

Discusses the concepts involved in constructing a meaningful free energy plot for a chemical reaction and how these concepts are sometimes insufficiently represented in textbooks. (MLH)

Argues that technology influences mathematics education by enabling students and teachers to discover and demonstrate generalizations and properties that were unthinkable a few years ago. Focuses on one example related to a paradox involving parabolas. (DDR)

Presents various simple activities to use with two-color counters as a vehicle for teaching concepts such as observation, classification, counting, recording, graphing, developing relational language, number sense, and beginning ideas of probability. (AIM)

Describes the construction of a marshmallow catapult to investigate trajectory concepts. (MKR)

Presents an insightful approach to algebra that enhances both personal and classroom communication through the process of solving a linear equation. (KHR)

Introduces human graphing by having students standing on certain coordinates instead of points plotted in ink. Includes teacher tips for success and possible graphing explorations. (KHR)

This article discusses procedures that have been developed to empower students with disabilities to take responsibility for graphing data reflecting their own academic performance. It discusses training methods for teaching students self-graphing and the benefits of self-monitoring. Examples are provided of different types of computer graphs.…

Presents an activity incorporating basic terminology, concepts, and solution methods of graph theory in the context of solving problems related to air travel. Discusses prerequisite knowledge and resources and includes a teacher's guide with a student worksheet. (KHR)

Presents an activity using similar rectangles to help children conceptualize ratio relationships in several different ways. Develops proportional reasoning without introducing the process of cross- multiplication. (YDS)

Explores how using a science-themed counting book led to several integrated mathematics and science activities for preschool and second- and third-grade children. (Author)

Describes a training program based on number crunching that helps runners improve their performance. Includes a student activity sheet. (YDS)

Helps students develop new insights into mathematical relationships through alternative representations. Examines patterns, symbolic, and functions approaches. (Contains 11 references.) (YDS)

Uses question-and-answer relationships (QARs) to help students identify the purposes of various multiple-choice questions. Shares how the authors taught fifth-grade students to use the QAR framework as they attacked charts, tables, figures, and other graphics. Details the sequence of their instruction and describes the success that they had using…