Out of over 1.9 million students in the 2018 ACT-tested graduating class, 44% took the full ACT® test at least twice in hopes of improving their scores. Camara and Allen (2017) support this practice, confirming that factors such as time in the classroom between test administrations are associated with increases in ACT Composite scores from the…

Presidential elections can be forecast using information from political and economic conditions, polls, and a statistical model of changes in public opinion over time. However, these "knowns" about how to make a good presidential election forecast come with many unknowns due to the challenges of evaluating forecast calibration and…

Techniques for applying mathematical concepts in the real world: six rarely taught but crucial tools for analysis, research, and problem-solving. Many young graduates leave school with a solid knowledge of mathematical concepts but struggle to apply these concepts in practice. Real scientific and engineering problems are different from those found…

In this digital ITEMS module, Dr. Roy Levy describes Bayesian approaches to psychometric modeling. He discusses how Bayesian inference is a mechanism for reasoning in a probability-modeling framework and is well-suited to core problems in educational measurement: reasoning from student performances on an assessment to make inferences about their…

Across all social science disciplines, but in particular public administration, there is a shared concern about the costs of using traditional random samples to generate data, and its impact on researchers' ability to engage in "quality" research. As a result of these costs, more academics, practitioners, and students are turning to…

Survey sampling is fundamentally an applied field. The goal in this book is to put an array of tools at the fingertips of practitioners by explaining approaches long used by survey statisticians, illustrating how existing software can be used to solve survey problems, and developing some specialized software where needed. This book serves at least…

"It's All Connected" provides teachers of mathematics the support they need to improve their instruction. This in-demand collection of lessons for grades 6-8 explores proportionality, proportional relationships, and proportional reasoning, acknowledging that the ability to reason proportionally is crucial in the middle school mathematics…

The purpose of these modules is to provide an introduction to the world of probability and statistics to accelerated mathematics students at the high school level. The materials are centered on the fictional town of Happy Shores, a coastal community which is at risk for hurricanes. Actuaries at an insurance company figure out the risks and…

This text teaches an often intimidating and difficult subject in a way that is informative, personable, and clear. The author takes students through various statistical procedures, beginning with correlation and graphical representation of data and ending with inferential techniques and analysis of variance. In addition, the text covers SPSS, and…

Presents a brief historical sketch of the life and work of one of the founders of modern mathematical physics. Discusses three problem-solving applications of the Poisson distribution with examples from elementary probability theory. Provides background on two of his noteworthy results from the physics of oscillations and the deformation of rigid…

In this book, author Catherine Jones Kuhns introduces student- and teacher-friendly math activities designed to get students thinking like mathematicians and loving mathematics, while addressing content standards through grade 2. She also shows how to make math fun for students, get children actively engaged in learning, create a student-centered…

Sophomores interested in professional colleges with grade-point average (GPA) standards for admission to upper division courses will need specific and realistic information concerning the requirements. Specifically, those who fall short of the standard must assess the likelihood of achieving the necessary GPA for professional program admission.…

The activity uses an area model to analyze probabilities associated with games of chance. Three activity sheets are included, with teaching suggestions. (MNS)

Explores applications of the Fibonacci series in the areas of probability, geometry, measurement, architecture, matrix algebra, and nature. (MDH)

Taguchi methods are methods of product quality improvement that analyze major contributions and how they can be controlled to reduce variability of poor performance. In this approach, knowledge is used to shorten testing. Taguchi methods are concerned with process improvement rather than with process measurement. This manual is designed to be used…