Relations among aptitude, spatial task solution strategy, and task performance were explored through mathematical models of performance latency. Different models fit different subjects on each of three task steps (encoding, synthesis, and comparison), suggesting that different subjects used different strategies for solving the same items. Aptitude…

This Monte Carlo study examined the validity of the chi-square test for model evaluation in different instances of misspecification and sample size. The usefulness of the chi-square difference statistic to compare competing structures and improvement in fit is also addressed. (Author/BS)

Explains a mathematical formula used for locating public sites close to the expected geographic center of an area where population (or population density) and distance are the two major suitable variables. Application of the site selection methodology is proposed for schools, libraries, parks, and other public sites. (MLF)

We noticed that when workers try to explain their mathematical practices to inquisitive outsiders, breakdowns in communication arise. We present here an example in which a worker spontaneously uses metaphors and models to facilitate explanation and communication. We analyse these, drawing on Lakoff & Johnson (1999) and Lakoff & Nunez…

This paper presents information on a course entitled "Mathematics and Technology" which was created at the University of Montreal and was taught once during the winter term of 2001. The students in the course were for the most part future high school teachers. Several applications of mathematics in technology are introduced and students…

In this study, we examined 139 prospective elementary teachers' solution processes to additive word problems for which the solution is 1 more or 1 less than the answer produced by the straightforward application of the addition or subtraction of the two given numbers. For each problem, five aspects of their solution processes were examined: (a)…

The National Council of Teachers of Mathematics (NCTM) has published three documents that propose standards related to mathematics education called "The Curriculum and Evaluation Standards for School Mathematics" (1989), "The Professional Standards for Teaching Mathematics" (1991), and "The Assessment Standards for School Mathematics" (1995). The…

This book discusses constructing variables and making measures. It begins by outlining the qualities a number must meet before it qualifies as a measure of something. The basis is the measurement philosophy of G. Rasch. The first requirement for making good measures is good raw material. To achieve the possibility of comparisons, the data must…

Models are discussed both as concrete representations of mental constructs and as various manipulative devices. Illustrations of effective model use, suggestions for acquiring models, and lists of models for specific concepts are included. (LS)

Discusses methods of weighting of descriptors in document search patterns together with the concept of relative indexing and conditions which should be satisfied by descriptor weight. A procedure for modifiying document search patterns based on users' informational needs and opinions is outlined, and examples are given. Sixteen references are…

Discusses simulation program to aid in the design of enzyme kinetic experimentation (includes sample runs). Concentration versus time profiles of any subset or all nine states of reactions can be displayed with/without simulated instrumental noise, allowing the user to estimate the practicality of any proposed experiment given known instrument…

Discusses a mathematical model for mastery learning. The model includes measures of a motivational factor and the specific ability of a learner with respect to content being learned. The model also contains a variable reflecting prior learning. Assumptions/limitations are discussed, and research questions raised. (Author/JN)

Data from a 1974 national survey of blue-collar workers were used to test the effects of occupational hazards on health while controlling for earnings and schooling. Among the findings were that schooling has no effect on job health (hours lost while sick), either directly or indirectly through job choice. (Author/RW)