Comparing the predicted and actual rolls of combinations of both two and three dice can help to introduce many of the basic concepts of statistical thermodynamics, including multiplicity, probability, microstates, and macrostates, and demonstrate that entropy is indeed a measure of randomness, that disordered states (those of higher entropy) are…

Mathematics teachers, researchers and specialists in educational technology from Quebec, Canada developed virtual tools that make interactive simulations of games of chance. These tools were presented to a group of teachers from New Brunswick through workshops and they then got to test and validate them with their students. Semi-structured…

The phenomenon of cheating on exams, which harms both the reputation of an academic institution and the students who don't cheat, is becoming increasingly common. We attempt to shed light on this phenomenon using data from a survey of graduates of the College of Management Academic Studies in Israel. Three aspects of the problem are examined: 1)…

Mike Shaughnessy is Professor Emeritus of Mathematics and Statistics at Portland State University in Oregon. He served as co-chair for the Board for the Special Interest Group for Research in Mathematics Education of the American Educational Research Association from 2005-2007. A member of the Board of Directors of the National Council of Teachers…

This mixed-methods study examines the effects of rating scale length and rater experience on listeners' judgments of second-language (L2) speech. Twenty experienced and 20 novice raters, who were randomly assigned to 5-point or 9-point rating scale conditions, judged speech samples of 38 newcomers to Canada on numerical rating scales for…

This article reports the findings from a comparative analysis that examined several mathematical content strands, reasoning processes, and emphasis on technology in prior K-8 state mathematics standards and the Common Core State Standards for Mathematics (CCSSM). Various methodological tools were utilized to compare and contrast CCSSM with prior…

Acknowledging the powerful that role formative feedback plays in learning, students who are training for professions in the clinical setting and learn while working alongside professionals in their field report that they receive limited feedback. Formative feedback helps students gauge progress, identify weaknesses, and improve performance as well…

These Proceedings are a written record of the research presented at the 35th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA 2013) held in Chicago, Illinois, November 14-17, 2013. The theme of the conference is Broadening Perspectives on Mathematics Thinking and Learning.…

Algebraic solving ability had been discussed by many educators and researchers. There exists no definite definition for algebraic solving ability as it can be viewed from different perspectives. In this paper, the nature of algebraic solving ability in terms of algebraic processes that demonstrate the ability in solving algebraic problem is…

A growing number of American states and school districts require students to meet basic performance standards in core academic subjects at key transition points in order to be promoted to the next grade. We exploit a discontinuity in the probability of third grade retention under a Florida test-based promotion policy to study the causal effect of…

In 2007, the Virginia Board of Education directed the Virginia Department of Education (VDOE) to study academic indicators that are associated with high school students' successful preparation for college and careers. VDOE then embarked on a multi-year effort to identify available data sources and conduct research on high school indicators that…

The main goal of this study was to illustrate and provide some direction for dealing with the complexities of propensity score matching within different multilevel contexts. Special attention is given to how procedures typically applied in a non-hierarchical setting may be modified to properly reduce the expected bias in the estimated treatment…

New evidence on how students' choice of postsecondary institution is sensitive to grant aid offers from the colleges and universities. Institutional aid sensitivity is largest for students from the least wealthy families but does not vary by race/ethnicity or measured academic ability. A technical appendix is included.

Sampling tasks and sampling distributions provide a fertile realm for investigating students' conceptions of variability. A project-designed teaching episode on samples and sampling distributions was team-taught in 6 research classrooms (2 middle school and 4 high school) by the investigators and regular classroom mathematics teachers. Data…

This study explores the impact of school-based victimization on the adolescent's social bond. Previous research has provided empirical support for Hirschi's social control theory that the strength of the adolescent's social bond is associated with the probability that he or she will engage in criminal offending. However, research identifying what…