The subject of mathematics is important for many other subjects, including physics. The questions we ask in physics often need a mathematical translation to be graphically interpreted and transformed. Students learn physics when interacting with physical questions; questions from physics also give insights and discoveries in mathematical problems.…

This article proposes a framework for classroom teachers to use in making pedagogical decisions regarding which mathematical materials (concrete and digital) to use, when they might be most appropriately used, and why. Two iPad apps ("Area of Shapes (Parallelogram)" and "Area of Parallelogram") are also evaluated to demonstrate…

To investigate student difficulties in solving word problems in algebra, we carried out a teaching experiment involving 51 Indonesian students (12/13 year-old) who used a digital mathematics environment. The findings were backed up by an interview study, in which eighteen students (13/14 year-old) were involved. The perspective of mathematization,…

THIS NOTE PRESENTS MODELS FOR PASSING JUDGMENT ON THE IMPORTANCE OF PROJECTS. TWO APPROACHES ARE CONSIDERED--PROJECTS WITH TWO ATTRIBUTES, PRIORITY AND DEADLINE DATES, AND PROJECTS WITH K ATTRIBUTES. THE SOLUTIONS ARE ILLUSTRATED THROUGH EXAMPLES AND BY AN ALGORITHM PRESENTED IN A COMPUTER REFERENCE LANGUAGE TO SHOW HOW ONE OF THE SOLUTIONS CAN BE…

As an economical method of evaluating alternative building programs prior to deciding upon one, a computer-based mathematical model is described which could be used to simulate an institution's use of physical facilities. Information is presented regarding program input, measure of effectiveness, and program procedure. Sample forms and sample…

It is argued that many investigators utilize the Tucker and Messick (1963) Model with no intention of looking for individual differences or, after utilizing the model, draw improper inferences. An example is given illustrating the difficulties which result from improper use of the model. Several proper methods are outlined. (Author)

Describes a computer simulation of the evolution of species. This is a model for sorting out random and correlated paleontological events. (BB)

Item response theory models arose from the inherent limitations of classical test theory methods of test analysis. A brief description of those limitations and the corresponding enhancements provided by item response models is provided. Further, an examination of the popular Rasch one-parameter latent trait model is undertaken. Specific…

Investigates the problem of assigning faculty to courses at a university. A program is developed that is both efficient, in that integer programming is not required, and effective, in that it facilitates interaction by administration in determining the optimal solution. The results of some empirical tests are also reported. (Author)

A guide to the use of microcomputer statistical analysis packages for loglinear analysis describes the application of one popular package to a straightforward problem and critically surveys features available in four of the leading packages. Survey findings and suggestions for further development are included. (Author/MSE)

This paper focuses on three aspects related to the conceptualization and application of canonical correlation analysis as a dominant statistical model: (1) partial canonical correlation analysis and its application in statistical testing; (2) the relation between canonical correlation analysis and discriminant analysis; and (3) the relation…

This article describes a one-semester junior and senior level course in applied mathematical optimization for undergraduates which provides the opportunity to test models by doing numerical experiments and to learn to use computer subroutines for solving optimization problems. (MN)

Examined were the mental processes by which elementary school students work simple multiplication exercises. Ten process models were fit to data obtained in the course of a CAI program in elementary arithmetic. The processes used by students in grade three were compared with those used by students in grade six. (CT)