In the 2005 Guidelines for Assessment and Instruction in Statistics Education (GAISE), statistical literacy featured as a primary goal. The 2016 revision eliminated statistical literacy as a stated goal. Although this looks like a rejection, this paper argues that by including multivariate thinking and--more importantly--confounding as recommended…

This exercise introduces students to the application of statistics and its investigative methods in political science. It helps students gain a better understanding and a greater appreciation of statistics through a real world application.

The increasing use of digital learning tools and platforms in formal and informal learning settings has provided broad access to large amounts of learner data, the analysis of which has been aimed at understanding students' learning processes, improving learning outcomes, providing learner support as well as teaching. Presently, such data has been…

This article illustrates the Bayesian approximate measurement invariance (MI) approach in Mplus with longitudinal data and small sample size. Approximate MI incorporates zero-mean small variance prior distributions on the differences between parameter estimates over time. Contrary to traditional invariance testing methods, where exact invariance…

One way to use formative feedback to increase student engagement is through a student response system (SRS). Originally appearing as classroom "clickers," very little literature exists concerning the ease of use, usefulness and integration, and overall satisfaction of current SRS software smartphone applications. Using the technology…

This paper proposes a teacher effect change model in the form of a latent variable regression 5-level hierarchical model (LVR-HM5). Using multiple years of student achievement data, the LVR-HM5 attempts to simultaneously estimate teacher effect as well as teacher initial status and the gap parameter to model the change of such latent parameters…

This paper presents insights from classroom practice where mathematical thinking, and in particular statistical literacy, are central to solving a STEM problem. We demonstrate that when an investigation sparks student interest and requires active participation, there are opportunities to experience the functionality of statistics.

The aim of this paper is to approach the teaching of the Poisson distribution in a friendly and amusing way. It constitutes a common practice to adopt the main probability distributions in order to predict results of sport events and to estimate the win return of betting activities (Chalikias 2009). In particular, by using the Poisson…

The International Statistical Literacy Project (ISLP) was established in 1994 by the International Statistical Institute and operates under the auspices of the International Association for Statistical Education. Today, the ISLP has 134 country coordinators spread across all continents of the world. The aim of this article is to describe and…

A major challenge in the widespread application of Mokken scale analysis (MSA) to educational performance assessments is the requirement of complete data, where every rater rates every student. In this study, simulated and real data are used to demonstrate a method by which researchers and practitioners can apply MSA to incomplete rating designs.…

The topics of correlation and linear regression constitute a complex and subtle system of statistical and mathematical ideas whose teaching-learning raises numerous practical and theoretical problems. In this research paper, the patterns of reasoning that students exhibit, under the approach of informal inferences when they face problems of…

A complex web of factors can influence whether students participate in computer science (CS) during high school. In order to increase participation in CS for all students, there is a need to better understand who is currently participating and what factors might be hindering participation. This study utilized a large-scale, student-level dataset…

One crucial function of a classroom, and a school more generally, is to prepare students for future learning. Students should have the capacity to learn new information and to acquire new skills. This ability to "learn" is a core competency in our rapidly changing world. But how do we measure ability to learn? And how can we measure how…

Multidimensional Item Response Theory (MIRT) is widely used in assessment and evaluation of educational and psychological tests. It models the individual response patterns by specifying functional relationship between individuals' multiple latent traits and their responses to test items. One major challenge in parameter estimation in MIRT is that…

This article reviews important statistical methods for estimating the impact of interventions on outcomes in education settings, particularly programs that are implemented in field, rather than laboratory, settings. We begin by describing the causal inference challenge for evaluating program effects. Then four research designs are discussed that…