The study aims to investigate prospective middle school mathematics teachers' mental actions related to debugging, which is one of the computational thinking skills in the modeling process. The study was conducted with a single-case embedded model. The collaborative working group consisted of three prospective mathematics teachers selected by…

The study explored the effects of a computer-assisted COnceptual Model-based Problem-Solving (COMPS) program on multiplicative word-problem-solving performance of students with learning disabilities or difficulties. The COMPS program emphasizes mathematical modeling with algebraic expressions of relations. Participants were eight fourth and fifth…

The report describes the math model for an experimental ship handling trainer. The training task is that of a replenishment operation at sea. The model includes equations for ship dynamics of a destroyer, propeller-engine response times, ship separation, interaction effects between supply ship and destroyer, and outputs to a visual display system.…

The ability to apply existing knowledge in new situations and settings is clearly a vital skill that all students need to develop. Nowhere is this truer than in the rapidly developing world of Web-based learning, which is characterized by non-sequential courses and the absence of an effective cross-subject guidance system. As a result, questions…

Conducted to design software partitioning techniques for use by the Air Force to partition a large flight simulator program for optimal execution on alternative configurations, this study resulted in a mathematical model which defines characteristics for an optimal partition, and a manually demonstrated partitioning algorithm design which…

Learning hierarchies are networks of prerequisite relationships of instructional objectives. Seven measures of the validity of learning hierarchies were compared for their ability to identify correctly- and incorrectly-ordered hierarchies. A computer simulation model was used to generate stochastic data of known underlying structure. Analysis of…

Three Florida high schools used the computer-based PLATO Basic Skills Mathematics program for remedial mathematics lessons. Students showed a median gain of 1.5 grade equivalents and improved attitudes toward mathematics and school. A model of the project's cost effectiveness indicates the need to manage the program carefully. (Author/RW)

This paper describes the philosophy of intelligent instructional systems and presents an example of one such system in the domain of manipulative mathematics--BLOCKS. The notion of BLOCKS as a paradigmatic system is explicated from both the system development and educational viewpoints. From a developmental point of view, the modular design of…

Ten models are proposed for predicting a student's final grade placement in a computer-assisted instruction curriculum from the time the student spends taking lessons. Two of the simplest models, using only the most recent point and parameters estimated for the whole group, are best at prediction. (Author/RD)

Discussion of mathematical modeling, particularly for high school physics curricula, focuses on software that is connected with laboratory work and the inference of mathematical models based on measurements of physical quantities. Fitting procedures are described, and user interface is explained. (Contains nine references.) (LRW)

This study examined the appropriateness of the use of criterion referenced tests as a means of controlling an individual student's advancement to the next level of instruction or retention in the current unit in the PLATO Air Force Base Computer-Based Education project at Chanute. The study was also concerned with program evaluation, which…

Analyzes the decision to network a collection of microcomputers into a local area network (LAN) based on cost factors. A mathematical model of the decision-making process is proposed that identifies an indifference point where the choice between a network and a stand-alone environment is equally attractive. (10 references) (LRW)

This volume is an exposition of a mathematical modeling technique for use in the evaluation and solution of complex educational problems at all levels. It explores in detail the application of simple algebraic techniques to such issues as program reduction, fiscal rollbacks, and computer curriculum planning. Part I ("Introduction to the…

Before implementing a course in the analysis of variance (ANOVA) taught through multiple linear regression, several concerns must be addressed. Adequate computer facilities that are available to students on a low-cost or cost-free basis are necessary; also students must be able to meaningfully communicate with their major advisor regarding their…

Discusses computer assisted instruction programs that deal with the specific area of the modeling of systems and the programing techniques that affect their educational value. An environment intended to increase the impact of interactive CAI is described and developed. (Author/CHC)