This activity unit provides an example of how the construction and interpretation of graphs can be incorporated into elementary classroom activities. (MP)

Grid paper activities are discussed as a way to help students conceptualize fractions. (MP)

This discussion of the mathematical potential of classroom events gives many examples of incidents that can be used for learning about topics such as one-to-one correspondence, counting, sets, ordering, time, fractions, money, shape, estimation, measuring, volume, area, number operations, and graphs. (MP)

Presents a teacher's guide and reproducible student worksheets to develop the procedure for finding the inverse of a function. (MKR)

This paper describes student difficulties in first-year calculus classes and suggests some instructional strategies to address these difficulties. Participants in this study were 200 low socio-economic background freshmen majoring in business in Brazil. Results show that the main difficulties are related to lack of understanding of algebraic…

Discusses activities to teach Cartesian graphing to young children in a conceptual way. Activities are organized around the concepts of finding one's way around in a plane and using the plane to represent variables in two dimensions by graphing equations in the usual way. (25 references) (MKR)

Bar graph activities appropriate for four stages of development are given. (MK)

Discusses the use of technology to investigate what graphs represent as well as how to interpret graphs. (MKR)

Two microcomputer-based laboratories, the motion detector and the sound detector, are discussed in terms of their affects upon the facilitation of an understanding of graphs and their ability to aid in the development of conceptual understanding from graphical analysis. The author relates experiences in using these labs with high school students…

Recommends that economics instruction begin a synthesizing process early by connecting discussion of the production possibilities curve and the supply curve. Suggests that linking the two is logical for conveying integrated economic thinking to beginning students. Argues that such a link makes it easier to discuss the competitive norm. (DK)

Identifies two steps to teaching economics, contending that economics learning can be helped with the use of graphs. Divides graphs into two types, concrete and abstract, and compares the two. Presents an exercise on teaching supply and demand utilizing abstract graphs. Plots supply and demand variables and interprets data. (RW)

Presents an overview and discussion of some results of research on the use of graphing calculators organized into the following categories: (1) achievement studies, (2) conceptual understanding, (3) problem solving, (4) classroom dynamics, and (5) future research needed. (29 references) (MKR)

During the first 12 weeks of an applied calculus course, two classes of college students studied calculus concepts using graphical and symbol-manipulation computer programs to perform routine manipulations. Three weeks were spent on skill development. Students showed better understanding of concepts and performed almost as well on routine skills.…

A classroom exercise to help college students of economics conceptualize, create, and learn from graphs is described. The technique is illustrated with an exercise concerning the concept of supply and demand in consumer markets. Classroom time required for the activity is small, and students become adept at manipulating models without anxiety.…

An approach to teaching electrochemical driving force that helps students comprehend the forces that govern ion flux across biological membranes and sets the stage for more elaborate analysis of biochemical signals is presented. Background information and two sample problems and answers are included. (KR)