The research presented in this article is a systematic review of the literature on the assessment of mathematical modeling in the setting of mathematics education published in the previous five years. This research has compiled the current best information from around the world to offer an overview of the assessment of mathematical modeling for…

This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…

P. J. Kellman, P. Garrigan, & T. F. Shipley presented a theory of 3-D interpolation in object perception. Along with results from many researchers, this work supports an emerging picture of how the visual system connects separate visible fragments to form objects. In his commentary, B. L. Anderson challenges parts of that view, especially the idea…

Fourteen experimental studies were reviewed using linear model of Berger et al. The model fits the data from these experiments remarkably well. These results demonstrate the utility and apparent validity of this theory of status-organizing processes. (Author/RD)

Building on Bloom's, and subsequent educational taxonomies, a larger, synthetic, theoretical basis, called the process hierarchy theory, is developed. Its relationship to general systems theory and its metatheoretical context are described. A general methodology for empirically testing aspects of the theory using mathematical modeling is explored.…

The cascade model of information processing is compatible with the relation between time and accuracy in speed-accuracy trade-off experiments. Findings regarding the additive factors methods led to reexamination of conclusions drawn from several studies about the locus of perceptual and attentional effects on processing. (Author/RD)

Three models are compared in terms of detail, scope, attention to individual differences, and how they deal with qualitative change and semantic processing. Two are information-processing models of arithmetical word problem-solving performance, and the third is a model of children's counting types and thinking strategies. (MNS)

Statistical methods employed to test individual differences in dual-task performance and the existence of a general time-sharing ability are reviewed and critiqued. Specifically, both the types of data being collected and the types of data analysis procedures have been inadequate to the critical evaluation of a hypothetical…

THIS ARTICLE OUTLINED THE CURRENT STATUS OF QUANTITATIVE METHODS AND OPERATIONS RESEARCH (OR), SKETCHED THE STRENGTHS OF TRAINING EFFORTS AND ISOLATED WEAKNESSES, AND FORMULATED WORKABLE CRITERIA FOR EVALUATING SUCCESS OF OPERATIONS RESEARCH TRAINING PROGRAMS. A SURVEY OF 105 COMPANIES REVEALED THAT PERT, INVENTORY CONTROL THEORY AND LINEAR…

The study examines the rule space model, a probabilistic model capable of measuring cognitive skill acquisition and of diagnosing erroneous rules of operation in a procedural domain. The model involves two important components: (1) determination of a set of bug distributions (bug density functions representing clusters around the rules); and (2)…

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a…