This article (1) provides a review of "Anno's Counting House," a wordless picture-story and game that engages children in thinking about numbers; and (2) examines a classroom activity from which children learn that the same data, graphed differently, may support a variety of conclusions. (GLR)

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)

A metrics and mapping framework is proposed to account for how heuristics, domain-specific reasoning, and intuitive statistical induction processes are integrated to generate estimates. Results of 4 experiments involving 188 undergraduates illustrate framework usefulness and suggest when people use heuristics and when they emphasize…

Aggregate data on grade-retention rates for grades 1 through 12 from 12 American states for 1979-80 and 11 for 1985-86 were examined for across-grade patterns. A negative growth exponential model appears to capture a basic underlying pattern of grade retention rates. (SLD)

Presents a pre-lab exercise, an experimental setup, and discussion of computer-generated graphs that can be used to study the motion and energy of a bouncing ball. (WRM)

Uses student reading interests as a context for data collection, and asks them to represent their findings in different ways using tables, bar graphs, pictographs, and pie graphs. (ASK)

Discusses teaching display and presentation skills by incorporating it into an interdisciplinary computer, math, and science lesson on graphing and collecting data which reinforces problem-solving skills and develops students' abilities to graph and interpret data. (ASK)

It is difficult to incorporate long term studies such as ecology into classroom settings. Discusses how to reach and download research center data available on the web. Recommends Long Term Ecological Research (LTER) sites for downloading and interpreting data. Explains the downloading procedure using a Netscape browser, and uses Excel and Lotus…

Identifies conceptions that students have with regard to the construction of graphs representing everyday situations in a computer learning environment using a GRAPHIC plotter, and examines the resistance of alternative conceptions to formal instruction. Following instruction, no significant improvement in students' performance was observed.…

Reports on a continuing investigation of intertextual networks. Describes how intertextual networks can be modeled as directed graphs and extends this to matrix representations. Discusses topological index values of these networks and speculates how topological index values might be used in the estimation of retrieval values in information…

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…

Research on graphing presents its results as if knowing and understanding were something stored in peoples' minds independent of the situation that they find themselves in. Thus, there are no models that situate interview responses to graphing tasks. How, then, we question, are the interview texts produced? How do respondents begin and end…

This paper is inscribed within the research effort to produce evidence regarding primary school students' learning of algebra. Given the results obtained so far in the research community, we are convinced that young elementary school students can successfully learn algebra. Moreover, children this young can make use of different representational…