This paper examines the mathematical conversations of middle school students as they use computer-mediated graphic representations to construct a shared understanding of the basic concepts of probability under two conditions. The first condition used graphical representations to depict important abstract relationships visually, and the second…

This competency analysis profile contains eight lists of mathematics skills that have been identified by employers and verified by math-certified instructors as being core competencies for eight groups of occupational areas. Each list is organized into subsections dealing with the following: numbers and number relations, measurement, data analysis…

This book provides applications for use in the secondary school mathematics curriculum by selecting related articles appearing in the "Mathematics Teacher" during the last 15 years. The articles are grouped into chapters that reflect the main secondary school mathematics courses and categorized by the highest level of mathematics needed…

Traditional elementary statistics instruction for non-majors has focused on computation. Rarely have students had an opportunity to interact with real data sets or to use questioning to drive data analysis, common activities among professional statisticians. Inclusion of data gathering and analysis into whole class and small group activities…

A study was conducted at Scottsdale and Paradise Valley community colleges to assess the importance of math for the study of economic principles and the extent to which a student's math background determines performance in micro- and macro-economic courses. Students (N=156) from six economic principles classes were surveyed regarding their high…

This report provides an overview of eight experiments on covariation judgment training. Included are a literature review, rationale, and description of the rule-analytic approach used in all experiments. Experiment 1 identified undergraduates' understandings of rule use, finding self-report a poor method for diagnosing sources of error. Experiment…

This study compared essay scores from paper-based and computer-based versions of a writing test for prospective teachers. Scores for essays in the paper-based version averaged nearly half a standard deviation higher than those in the computer-based version, after applying a statistical control for demographic differences between the groups of…

This document discusses the issues that need to be considered by the education and training system as it responds to the changing needs of industry in Great Britain. Following a general introduction, the development of quality management ideas is traced. The underlying principles of safety and risk management are clarified and the implications of…

This document includes a statement of 11 basic considerations for a mathematics curriculum for the gifted in grades two through eight and a series of activities appropriate for such a curriculum. The activities are grouped under five strands: (1) logic; (2) combinations (combinatorics), probability, introduction to statistics; (3) geometry,…

This document suggests sources from children's literature useful in teaching a variety of mathematical concepts. The mathematical concepts discussed are: (1) numbers and numeration; (2) place value; (3) shapes; (4) addition and subtraction; (5) multiplication and division; (6) telling time; (7) probability, estimation and prediction; (8) fractions…

Problem Solving in Mathematics (PSM), a program of problem-solving lessons for grades 4-9, is designed to be integrated into the regular mathematics program. Although the content objectives of the lessons are similar to those of most textbooks, PSM emphasizes problem-solving skills and a variety of instructional strategies which foster the…

In evaluation research studies, it often occurs that several program participants (experimentals) drop out of the program prior to completion. Since noncompleters generally differ substantially from completers in many respects, a control group which originally was representative of the participant group will most likely not be representative of…

This item bank was compiled by the Australian Council for Educational Research (ACER) to help teachers at the secondary school level construct objective tests in mathematics. The multiple-choice items were written by teachers who attended ACER writing workshops. The questions are classified according to their subject content and the cognitive…

This guide represents the final experimental version of a pilot project which was conducted in the United States between 1973 and 1976. The ideas and the manner of presentation are based on the works of Georges and Frederique Papy. They are recognized for having introduced colored arrow drawings ("papygrams") and models of our numeration…

This is a tongue-in-cheek rendering of an imaginary linguist's attempt to prove that a grammatical rule is not in fact optional, but conditioned. Through manipulation of the data, use of computers, etc., he succeeds in "proving" this. He also "proves" that this conditioning is contextual; that the rule which exhibits it is…