The aim of this paper is to review some studies conducted with different learning areas in which the schemes of different participants emerge. Also it is about to show how mathematical proofs are handled in these studies by considering Harel and Sowder's classification of proof schemes with specific examples. As a result, it was seen that the…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

A near miss is a failure that was close to a win. In this paper we analyze the primary documents associated with a case that was brought before the Nevada Gaming Commission in 1988. This case resulted in the 1989 ruling that the proprietary computer algorithms used by one slot machine manufacturer to create a high number of near misses on the…

The history of the journal "Esercitazioni Matematiche" (1921-43) edited by the "Circolo Matematico di Catania" for university students is described. A selection of proposed problems with some of their solutions is reported. (Author)

This paper reviews the issues involved in using statistical data on multiple choice examination results as evidence of cheating among college student test-takers. Recent studies have demonstrated the large extent of academic dishonesty among American college students. Seeking to curb this trend, college faculty have been turning to statistical…

Discusses Kris N. Kirby's work on signal detection theory and its application to Watson's selection task. Identifies problems with the design and interpretation of Kirby's card-selection experiments. (DR)

Discusses Over and Evans' alternative interpretations to Kris N. Kirby's card-selection tasks and finds empirical difficulties. Cites the potentially important contribution of Over and Evans to understanding of the card-selection task by applying the notion of epistemic utility. (DR)

This article explores the potential of Bayesian inference as a theoretical framework for describing how people evaluate hypotheses. First, it identifies a set of logically possible forms of non-Bayesian behavior. Second, it reviews existing research in a variety of areas to see whether these possibilities are ever realized. (Author/BW)

The present article reviews the procedures that have been developed for measuring the reliability of human observers' judgments when making direct observations of behavior. These include the percentage of agreement, Cohen's Kappa, phi, and univariate and multivariate agreement measures that are based on quasi-equiprobability and quasi-independence…

Comments on "The Timing of a First Birth and High School Completion" (Dawn M. Upchurch and James McCarthy) (1990). In considering relationships between adolescent childbearing and completion of high school, Upchurch and McCarthy misinterpret socioeconomic data. Their conclusion that young mothers are no less likely to graduate from high school is…

In the educational research literature alpha, the a priori level of significance, and p, the a posteriori probability of obtaining a test statistic of at least a certain value when the null hypothesis is true, are often confused. Explanations for this confusion are offered. Paradoxically, alpha retains a prominent place in textbook discussions of…

A recent recommendation by Holt (EJ 200 576) that coefficients resulting from estimating log-linear and similar models should not be interpreted is argued to be based on lack of clarity about the substantive and theoretical importance of the choice between dummy and effect coding for categorical variables. (Author/GDC)

Until recently, norms of experimental reasoning have lacked systematic theoretical development. Thus, it has been easy for psychologists like Tversky and Kahneman to misclassify certain human reasoning processes as being Pascalian and invalid, rather than as being Baconian and valid. (CP)

Reviews research indicating that students' cognitive models hold random events to be equiprobable Examined 87 students between the ages of 15 and 17 to determine whether masking a random event using geometric figures would affect the students' view of the event as equiprobable. Results indicated that masking overcame the equiprobable bias of the…

The PRODIGY/EBL system [Minton88] was one of the first works to directly attack the problem of strategy utility. The problem of finding effective strategies was reduced to the problem of finding effective rules. However, this paper illustrates limitations of the approach. There are two basic difficulties. The first arises from the fact that the…