Quantum mechanics (QMs) is a foundational subject in many science and engineering fields. It is difficult to teach, however, as it requires a fundamental revision of the assumptions and laws of classical physics and probability. Furthermore, introductory QM courses and texts predominantly focus on the mathematical formulations of the subject and…

Students' experiences with statistics and data analysis in middle school are often limited to little more than making and interpreting graphs. Although students may develop fluency in statistical procedures and vocabulary, they frequently lack the skills necessary to apply statistical reasoning in situations other than clear-cut textbook examples.…

Students can struggle to understand and use terms that describe probabilities. Such struggles lead to difficulties comprehending classroom conversations. In this article, we describe some specific misunderstandings a group of students (ages 11-12) held in regard to vocabulary such as "certain", "likely" and…

Online student-response systems provide instructors with an easy-to-use tool to instantly evaluate student comprehension. For comprehensive content review, turning this evaluation into a competitive game where students can compete against each other was found to be helpful and enjoyable for participating students. One specific online resource,…

Many undergraduate students report a lack of concern about facing labor market discrimination throughout their careers. However, there is ample evidence that discrimination based on race, gender, and age still persists within the labor market. The author outlines a classroom experiment demonstrating the existence of discrimination, even when the…

Understanding and trouble-shooting microscopic processes involved in laboratory tests are often challenging for students in science education because of the inability to visualize the different steps and the various errors that may influence test outcome. The effectiveness of gamification or the use of game design elements and game-mechanics were…

The "Selene: A Lunar Construction GaME" instructional video game is a robust research environment (institutional review board approved) for investigating learning, affect, and the CyGaMEs Metaphorics approach to instructional video game design, embedded assessment, and informatics analysis and reporting. CyGaMEs applies analogical…

In the criminal justice system, defendants accused of a crime are presumed innocent until proven guilty. Statistical inference in any context is built on an analogous principle: The null hypothesis--often a hypothesis of "no difference" or "no effect"--is presumed true unless there is sufficient evidence against it. In this…

A virtual learning environment can engage university students in the learning process in ways that the traditional lectures and lab formats cannot. We present our virtual learning environment "StudentResearcher," which incorporates simulations, multiple-choice quizzes, video lectures, and gamification into a learning path for quantum…

Evaluating the strength of evidence in noisy data is a critical step in scientific thinking that typically relies on statistics. Students without statistical training will benefit from heuristic models that highlight the logic of statistical analysis. The likelihood associated with various coin-tossing outcomes gives students such a model. There…

Many Chicagoans are getting shortchanged, particularly when it comes to money exchange between the Illinois Lottery (IL) and Illinois State Board of Education (ISBE). A significant portion of lottery sales is earmarked for education in Illinois. Because these revenues are not generated equally, however, some contribute more to education via the…

Troy Thomas and Lynda Wiest share an engaging lesson on statistics involving analysis of real-world data on the top ten video game sales in the United States during a one-week period. Three upper-primary classes completed the lesson, providing insight into the lesson's effectiveness. The lesson description includes attention to the manner in which…

The Statistics Online Computational Resource (http://www.SOCR.ucla.edu) provides one of the largest collections of free Internet-based resources for probability and statistics education. SOCR develops, validates and disseminates two core types of materials--instructional resources and computational libraries. (Contains 2 figures.)

iCivics, a free online, civics education program created by Supreme Court Justice Sandra Day O'Connor, is aligned to state and national standards to teach core civics content. The research question for this study is: Does spending at least 30 minutes on the iCivics interactive web site 2 times per week improve student scores on a civics test? A…

In this paper, we consider some combinatorial and statistical aspects of the popular "Powerball" lottery game. It is not difficult for students in an introductory statistics course to compute the probabilities of winning various prizes, including the "jackpot" in the Powerball game. Assuming a unique jackpot winner, it is not difficult to find the…