Purpose: This study aims to describe the pedagogical content knowledge (PCK) of a kindergarten educator who implements a lesson plan about informal inferential reasoning designed in a lesson study group. Design/methodology/approach: To this end, we analyzed teaching interventions in two kindergarten lessons focused on the playful task of tossing…

Humans have the ability to learn surprisingly complicated statistical information in a variety of modalities and situations, often based on relatively little input. These statistical learning (SL) skills appear to underlie many kinds of learning, but despite their ubiquity, we still do not fully understand precisely what SL is and what individual…

The purpose of the study was to demonstrate the effects of using high-quality feedback (HQF) to train educators on an ACT-based intervention called cognitive defusion. Since there was limited acquisition using HQF as a training method, the participants were switched to BST to learn the remaining cognitive defusion task. A delayed multiple probe…

Promoting positive student attitudes towards stochastics has become a core goal of statistics education reform, and we argue that this starts with the teachers during their teacher preparation program. Building on previous work assessing teachers' attitudes, we focus on how pre-service teacher attitudes vary across different dimensions, and how…

Learning processes often occur at a situational level. Changes in learning context have implications on how students are motivated or are able to cognitively process information. To study such situational phenomena, Experience Sampling Method (ESM) can help assess psychological variables in the moment and in context. However, data collected via…

The purpose of the study was to understand the experiences of data scientists regarding common skills and strategies of interpreting and creating data visualizations. In this Delphi study, the participants were researchers in Data Science using three rounds of surveys. Skills and strategies were identified after Delphi Panel 1 and then brought…

Randomised controlled trials of cancer treatments typically report progression free survival (PFS) and overall survival (OS) outcomes. Existing methods to synthesise evidence on PFS and OS either rely on the proportional hazards assumption or make parametric assumptions which may not capture the diverse survival curve shapes across studies and…

Barry Kissane describes a statistical modelling activity using a graphics calculator. Senior secondary students can explore Bureau of Meteorology data to determine whether the number of years with record breaking temperatures are more than expected--a sort of global warming null hypothesis.

Within-cluster variance homogeneity is one of the key assumptions of multilevel models; however, assuming a constant (i.e. equal) within-cluster variance may not be realistic. Moreover, existent within-cluster variance heterogeneity should be regarded as a source of additional information rather than a violation of a model assumption. This study…

In this article, we offer a teaching lesson on combinatorics and binary outcomes that utilizes real-world data. The focus of the lesson is to teach students how to analyze the effects of the National Basketball Association's (NBA) 2003 decision to extend the first round of its postseason from a best-of-five series of games to a best-of-seven…

Adaptive learning is provided in intelligent tutoring systems (ITS) to enable learners with varying abilities to meet their expected learning outcomes. Despite the personalized learning afforded by ITSes using adaptive learning, learners are still susceptible to shallow learning. Introducing metacognitive tutoring to teach learners how to be aware…

This study addressed whether gender, social desirability, statistics levels, and statistics self-efficacy can significantly predict variation in statistics anxiety at the graduate level. Statistics anxiety undermines performance throughout academia and reduces employment opportunities that require skills in statistics. Previous studies have…

Reliability indicates the internal consistency of a test. In educational studies, reliability is a key feature for a test. Researchers have proposed many traditional reliability estimates, such as coefficient alpha and coefficient omega. However, traditional reliability indices do not deal with the data hierarchy, even though the multilevel…

Bayesian approach is becoming increasingly important as it provides many advantages in dealing with complex data. However, there is no well-defined model selection criterion or index in a Bayesian context. To address the challenges, new indices are needed. The goal of this study is to propose new model selection indices and to investigate their…

Structural equation modeling (SEM) is a widely used technique for studies involving latent constructs. While covariance-based SEM (CB-SEM) permits estimating the regression relationship among latent constructs, the parameters governing this relationship do not apply to that among the scored values of the constructs, which are needed for…