Many children fail to master fraction arithmetic even after years of instruction, a failure that hinders their learning of more advanced mathematics as well as their occupational success. To test hypotheses about why children have so many difficulties in this area, we created a computational model of fraction arithmetic learning and presented it…

Latent transition analysis (LTA) was initially developed to provide a means of measuring change in dynamic latent variables. In this article, we illustrate the use of a cognitive diagnostic model, the DINA model, as the measurement model in a LTA, thereby demonstrating a means of analyzing change in cognitive skills over time. An example is…

There is global concern regarding the increased prevalence of math anxiety among college students, which is credited for a decrease in analytical degree completion rates and lower self-confidence among students in their ability to complete analytical tasks in the real world. The present study identified that, as expected, displays of instructional…

This paper proposes an argument framework for the teaching of null hypothesis statistical testing and its application in support of research. Elements of the Toulmin (1958) model of argument are used to illustrate the use of p values and Type I and Type II error rates in support of claims about statistical parameters and subject matter research…

In the scientific literature, the debate around the school and class effect is polarized, because the variance between schools and classes is explained either by school and class process or by group composition. The first aim of this article is to shed light on this debate and move beyond it by reviewing qualitative and quantitative studies…

The sport of Ultimate has grown from parking lot fun to international competition in its 35 year existence. As in many sports, the team that scores is subsequently on defense. Thus the probability that a team will score next is dependent on which team has scored most recently. Unlike in many other sports, teams switch ends after each score. Thus…

A hypothetical construct of interest is proposed and tested in the mathematics classroom with 350 high school students. Results indicate that it is useful to distinguish between personal and situational interest. In addition, the structure of situational interest appears multifaceted, with five subfacets found in the high school mathematics…

The 7th International Conference on Education Data Mining held on July 4th-7th, 2014, at the Institute of Education, London, UK is the leading international forum for high-quality research that mines large data sets in order to answer educational research questions that shed light on the learning process. These data sets may come from the traces…