Although single-subject research techniques are valuable to counselors, analyzing change by graphs alone is open to major sources of error. Discusses these sources and explores the issues of serial dependency, unreliability of graphs, interjudge disagreement on graphed data, and the use of time-series statistics with relevance to the counselor in…

An intuitive approach to exponential functions is described. Microcomputers are used to aid discovery of derivatives. (MNS)

Defines relationship between user profile and user query in terms of relationship between clusters of documents retrieved by each, and explores the expression of cluster similarity and cluster overlap as linear functions of similarity existing between original pairs of profiles and queries, given the desired retrieval threshold. (23 references)…

Stressed is a conceptual approach to absolute value, based on the visualization of the graphs of absolute-value equations. An important by-product is predicting a graph on the basis of certain constraints. Four worksheets plus teacher comments are included. (MNS)

Discusses research on representational pictures, which share physical resemblance with the concept the picture represents; analogical pictures, which convey a concept; and arbitrary pictures, or highly schematized visuals related logically to the things they represent. The contributions of each type to adult conceptual learning and learning from…

Introduces Q-analysis, a methodology for investigating a wide range of structural phenomena that defines structures in terms of relations between members of sets and reveals their salient features by using techniques of algebraic topology. Applications relevant to librarianship and information science are reviewed and present limitations…

Plotting a polynomial over the range of real numbers when its derivative contains complex roots is discussed. The polynomials are graphed by calculating the minimums, maximums, and zeros of the function. (MNS)

Describes a continuous sequence of development of arithmetical and ratio reasoning capacity which very few students now attain in introductory science courses. Sequence progresses from verbal interpretation of ratio of two numbers, to arithmetical reasoning involving division, coupling arithmetical reasoning to graphical representation, and to…

A bar graph and table shows school-age population projections by region and state for 1980, 1990, and 2000. The Northeast and North Central regions will show a steady decline, the West will show a steady increase, and the South will decline in 1990 but increase by 2000. (TE)

The game of "Sprouts" is explained, then several theorems concerning the game are stated and proved. (DT)

This paper investigates one high school student's use of gestures in an interview context in which he worked on the problem of understanding graphical representations of motion. The goal of the investigation was to contribute a detailed analysis of the process of learning as it occurred over a short time period in order to contribute to the…

In this activity, students design and create a LEGO (plastic building blocks) structure to house and protect a temperature sensor. The structure is left in a safe spot and the temperature is regularly checked and charted. This activity uses a time frame of 45 minutes. (Author/SOE)

This book contains volume 1 of the proceedings of the 23rd annual meeting of the International Group for the Psychology of Mathematics Education (PME) held October, 2001 in Snowbird, Utah. Papers include: (1) "Opening the Dimensions of Mathematical Capability: The Development of Knowledge, Practice and Identity in Mathematics Classrooms"…

This two volume collection of proceedings contains working group reports, research reports, oral reports, poster session reports and discussion group reports presented at PME-NA 21. Only the plenary and research reports are full reports; the others are brief abstracts. Full reports include: (1) "Representation, Vision and Visualization:…

This assessment sample provides information on the Missouri Assessment Program (MAP) for grade 7 science. The sample consists of seven items taken from the test booklet and scoring guides for the seven items. The items assess heat, minerals, graphing, and plant growth. (MM)