Research in mathematics education usually attempts to look into students' learning and other mental processes. It could therefore be expected to build on knowledge acquired within the academic discipline of cognitive psychology. Our aim in this paper is to show how some recent developments in cognitive psychology can help interpret empirical…

Reform-oriented efforts geared toward transformative education and equal educational opportunities for all U.S. school children (regardless of race, gender, or cultural/linguistic background) are underway and advocacy is emerging as an important topic of discussion and debate among language-in-education specialists, applied linguists included. …

At least some of the reasoning processes involved in argumentation rely on inferences which do not fit within the traditional categories of inductive or deductive reasoning. The reasoning processes involved in plausibility judgments have neither the formal certainty of deduction nor the imputed statistical probability of induction. When utilizing…

An optimization model is presented that allows test assemblers to control the shape of the observed-score distribution on a test for a population with a known ability distribution. An obvious application is for item response theory-based test assembly in programs where observed scores are reported and operational test forms are required to produce…

There are advantages to using a priori or planned comparisons rather than omnibus multivariate analysis of variance (MANOVA) tests followed by post hoc or a posteriori testing. A small heuristic data set is used to illustrate these advantages. An omnibus MANOVA test was performed on the data followed by a post hoc test (discriminant analysis). A…

This study seeks to establish which scientific reasoning skills are primarily domain-general and which appear to be domain-specific. The subjects, 12 university undergraduates, each participated in self-directed experimentation with three different content domains. The experimentation contexts were computer-based laboratories in d.c. circuits…

Statistical significance is often inappropriately equated with evaluating result importance and evaluating result replicability, even though these are three somewhat different issues. The prudent researcher must separately assess each of these elements of the "research triumvirate" by using different methods. This paper focuses on two…

This study investigated junior high school students' use of problem-solving heuristics and metacognitive processes and the relationships that might exist between the students' use of these processes and their cognitive style. Using a computer microworld called "Nimbot" based on the ancient game of Nim, 10 seventh- and eighth-grade…

The Critical Decision Method (CDM) is a structured interview method for eliciting expert knowledge. The method was used in a study of computer programmers who were experts at debugging complex computer systems. Fifteen programmers who were identified by their supervisors as experts were asked to describe an experience in which their expertise made…

Practitioners and theorists have given attention recently to the role and status of research activities in Canadian university continuing education units. For individuals in units that are increasing the proportion of their organizational activities devoted to research, there will be an ongoing process of cognitive change and development as a new…

This paper discusses the principles underlying discriminant analysis and constructs a simulated data set to illustrate its methods. Discriminant analysis is a multivariate technique for identifying the best combination of variables to maximally discriminate between groups. Discriminant functions are established on existing groups and used to…

The application and utility of confirmatory second-order factor analytic methods are discussed. Factor analysis is central to concerns regarding measurement validity. Confirmatory methods are especially useful because they explicitly consider measurement error influences and because the methods are inherently theory-driven and theory-oriented.…

A student's fear of giving oral reports and the instructor's objection to using too much class time on oral reports are often seen as the major barriers that prevent an oral communication unit from being included in a business or management communications course. One approach to easing both concerns is the use of videotaping as a self-discovery…

Since observers' memory-based ratings of organizational phenomena provide data in research and decision-making contexts, bias in observers' judgments must be examined. A study was conducted to explore the extent to which leader behavior ratings are more generally biased by the availability heuristic. The availability heuristic is operative when a…

"Cognoter(tm)" and "CB" software, two new computer-based writing tools that rely on shared texts and real-time communication among participants and support collaborative invention, have implications for invention pedagogy and research. Cognoter improves on current invention aids by combining a brainstorming tool, a graphical…