With the rise in popularity of social media and e-commerce platforms, "discrete math" is at the heart of our online experiences, playing a front-end role in the recommendation of what to click, watch, or buy, or who to follow or friend, as well as a back-end role in data storage, access, and transfer. This thesis focuses on two such…

To identify clicker questions likely to provoke rich and engaging student discussions, we recorded the percentage of the class voting on each option on every clicker question used throughout each semester, encompassing nineteen sections of introductory statistics, taught by three instructors. Working from the hypothesis that seeing student votes…

We recorded the percentage of students voting on each option on every clicker question used in 19 introductory statistics classes. To identify the questions that provide the most useful feedback, we looked for those for which the percentage of students voting correctly varied the most from class to class, producing the largest standard deviations.…

This paper describes a lesson centered around a metric for measuring partisan gerrymandering: the efficiency gap. We situate the efficiency gap in the current US political climate, describe the activity itself, and then provide recommendations for readers interested in adapting the lesson for their own classrooms.

The purpose of this paper is to present results of a recent study in which students voted on multiple choice questions in mathematics courses of varying levels. Students used clickers to select the best answer among the choices given; in addition, they were also asked whether they were confident in their answer. In this paper we analyze data…

Discusses the mathematics of weighted voting schemes, including representative government. Shows how power is a decreasing function of population size and how tiny parties can have the same power as large constituencies. (MKR)

The dataset presented here illustrates to students the utility of logistic regression. Its analysis results in a fit that explains much of how senators vote on a particular bill, and allows for quantification of the effects of ideology and money on the vote. A number of interesting quantitative interpretations follow from a good fit. A successful…

This publication is a collection of social science research and statistical techniques that can help win civil rights court cases. Articles included are: (1) "A Lawyer Looks at Social Science in the Courts"; (2) "How Social Scientists and Lawyers Can Work Together"; (3) "The Nature of Statistics and Research as Used in Civil Rights Litigation";…