Describes a way of using multiple representations to help students learn data analysis and make sense out of a large amount of data. Includes an activity for a group-learning environment. (KHR)

Discussed is the tendency of students to equate the concepts of continuity and connected graphs based on their lack of an understanding of such concepts as limit points, closed sets, and connected sets. Included is a theorem with three lemmas with their proofs. (KR)

Described are activities using jar lids for sorting, classifying, and graphing; ordering; and measuring circumference and diameter. (MNS)

Topics from graph theory are introduced at an informal level and thereby made accessible to the majority of secondary school students. Three worksheets are included. (MNS)

Presents four examples of physics problems that can be solved with a graphing calculator. Problems included deal with motion, harmonic oscillations, sound waves, and blackbody radiation. (JRH)

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…

Elementary teachers can use graphing to introduce students to one another. An eye color graphing activity helps students learn more about each other while experimenting with different ways of organizing and displaying information. For follow up, students can apply their graphing knowledge by collecting and displaying data from their families. (SM)

A quantitative application of magnetic braking performed with an air track is described. The experimental measurement of the position of the glider as a function of time is calculated. (KR)

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)

A student project that investigated the relationship between resting heart beat frequency and body mass of adult dogs is described. The results are compared to those of other mammals and birds. The procedure and results are included. (KR)

The issue of division by zero is discussed. Activities that cover the topics of measurement division, partition division, relationship to fractions, confusion with dividing into zero, dividing zero by zero, and relation to more formal numbers are presented. (KR)

In this article, we will describe the results of a study of 6th grade students learning about the mathematics of change. The students in this study worked with software environments for the computer and the graphing calculator that included a simulation of a moving elevator, linked to a graph of its velocity vs. time. We will describe how the…

The study explored how Grade 10 science students learned from scientific graphs. This paper explores (a) students' abilities to interpret graphical information; (b) students' abilities to represent information graphically; (c) factors that could impede the process of interpretation and construction of graphs among secondary school science…

We present a card trick that can be used to review or teach a variety of topics in discrete mathematics. We address many subjects, including permutations, combinations, functions, graphs, depth first search, the pigeonhole principle, greedy algorithms, and concepts from number theory. Moreover, the trick motivates the use of computers in…

We have concluded that teaching undergraduate students to use spreadsheet software to analyze, interpret, and communicate spreadsheet data through a graph is an information technology exercise in whole brain thinking. In investigating why our students have difficulty constructing proper graphs, we have discovered that graphing requires two…