Informal inference is a critical practice for students to engage in if they are to understand formal statistical methods. However, during informal inference students often utilize complex ideas that many in-service teachers are not prepared for as they have not had the opportunity to think deeply about statistics and develop statistical knowledge…

The purpose of this paper is to provide an easy template for the inclusion of the Bayes factor in reporting experimental results, particularly as a recommendation for articles in the "Journal of Problem Solving." The Bayes factor provides information with a similar purpose to the "p"-value--to allow the researcher to make…

We study a teacher incentive policy in Washington State that awards a financial bonus to National Board Certified Teachers who teach in high-poverty schools. We study the effects of the policy on student achievement and teacher staffing using a regression discontinuity design that exploits the fact that eligibility for the bonus is based on the…

Students have intuitive notions of the meaning of variability; some may see variability as how values in a set vary from each other. This article provides a measure of variability that is based on that conception. We introduce this new measure and a method for calculating it. Finally, we prove that this measure is equivalent to the population…

The article asks about the minimal number of persons required for achieving a probability 1/2 that (a.) At least two share a birthday, (b.) At least one shares the reader's birthday. A basic question about the necessary number of checks underlies both problems.

Increasing focus worldwide on accountability and quality assurance in universities has forced senior management to develop policies to address academic support at institutional-level. One such area is the mathematical and statistical skills that students in many disciplines need to succeed. In common with many countries, large numbers of students…

Work integrated learning (WIL) has been the norm in disciplines such as medicine, teacher education and engineering; however, it has not been implemented until recently in statistics and not for every student in computer science education. There seems to be no literature on the use of WIL for data science education. With the changed focus of…

According to the Programme for International Student Assessment (PISA) 2015 measurements, Slovak primary school pupils commonly can reach some below average scores in terms of scientific literacy and have less and less positive attitudes towards the natural sciences. Natural sciences and statistics are intertwined disciplines. This implies that…

In this study, we examined the effect of video-based feedback designed to highlight a peer engaging in effective thinking processes on self-efficacy beliefs and learning outcomes (performance on a delayed quiz). Students in an introductory statistics course participated in an online learning activity where they received feedback in one of three…

Trends in International Mathematics and Science Study (TIMSS) is an international comparative study designed to measure trends in mathematics and science achievement at grades 4 and 8, as well as to collect information about educational contexts (such as students' schools, teachers, and homes) that may be related to student achievement. TIMSS has…

The COVID-19 pandemic required that virtually all in-person instruction move suddenly to an online format. Given the unprecedented nature of this disruption, the California Community Colleges (CCC) issued an emergency regulation allowing all students to drop spring 2020 courses without incurring a withdrawal or "W" notation on their…

During the Spring 2020 semester, K-12 teachers throughout many parts of the world adapted from face-to-face to online teaching. To better understand these experiences, seven advanced placement (AP) Statistics high school teachers were interviewed following a semi-structured protocol. A collaborative and consensus-driven analysis of transcripts…

During the Spring 2020 semester, K-12 teachers throughout many parts of the world adapted from face-to-face to online teaching. To better understand these experiences, seven advanced placement (AP) Statistics high school teachers were interviewed following a semi-structured protocol. A collaborative and consensus-driven analysis of transcripts…

The amount of data available in the context of educational measurement has vastly increased in recent years. Such data are often incomplete, involve tests administered at different time points and during the course of many years, and can therefore be quite challenging to model. In addition, intermediate results like grades or report cards being…

Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This ninth installment of "Explorations in Statistics" explores the analysis of ratios and normalized--or standardized--data. As researchers, we compute a ratio--a numerator divided by a denominator--to compute a…