Equiprobability bias (EB) is one of the frequently observed misconceptions in probability education in K-12 and can be affected by a problem context. As future teachers, preservice teachers need to have a stable understanding of probability and to have the knowledge to identify EB in their students regardless of the problem context. However, there…

We examine the challenges of teaching probability through the use of modelling. We argue how an integrated modelling approach might facilitate a coordinated understanding of distribution by marrying theoretical and data-oriented perspectives and present probability as more connected to the social lives of modern-day students. Research is, however,…

R and Python are commonly used software languages for data analytics. Using these languages as the course software for the introductory course gives students practical skills for applying statistical concepts to data analysis. However, the reliance upon the command line is perceived by the typical nontechnical introductory student as sufficiently…

To be literate in a society where the information shared online is often exploited, learners should be exposed to multiple aspects of contemporary predictive modeling. This article explores an activity in which grade 10 students learned how a famous AI algorithm (the Apriori algorithm) uses conditional probability to automate the process of…

The current study was conducted with the goal of helping to address the research gap of improving preservice teachers' pedagogical knowledge about probability by investigating how preservice teachers explored concepts of probability during aleatoric music composition, as well as their contemplation process during follow-up reflections focused on…

Informally testing the fit of a probability distribution model is educationally a desirable precursor to formal methods for senior secondary school students. Limited research on how to teach such an informal approach, lack of statistically sound criteria to enable drawing of conclusions, as well as New Zealand assessment requirements led to this…

Several studies revealed that probability misconceptions were widespread among students, but the activities for addressing the misconceptions has been lacking. This study designed activities that reflect real life situations for addressing equiprobability bias, positive and negative recency effects, belief bias and representativeness bias for…

Sexual assault on college campuses has been a longstanding problem in the USA. Unfortunately, relatively little has been done to look at the characteristics of these attacks and how they might relate to knowledge of sexual assault policies, participation in sex education courses, beliefs toward sexual violence, and willingness to intervene if an…

The Monty Hall Dilemma (MHD), made famous by the television game show Let's Make a Deal, can be an effective teaching tool with wide ranging behavioral science applications. The format and history of the problem are presented as well as experimental data and variations on the original design. Strategic game playing choices are discussed from…

Finding intersections, unions, and complements of sets is an essential issue in elementary mathematics. It builds the foundation for set theory, probability, logic, and other topics. It is commonly recognized that drawing a Venn diagram, which was first introduced by the British philosopher and mathematician John Venn in 1881, is a classic and…

Noncompliance with adult instruction is a common problem exhibited by individuals diagnosed with intellectual and developmental disabilities. The high-probability (high-p) request sequence was designed to increase compliance with low-probability (low-p) instructions by rapidly presenting high-p instructions immediately prior to the targeted low-p…

We present an instructional approach to teaching causal inference using Bayesian networks and "do"-Calculus, which requires less prerequisite knowledge of statistics than existing approaches and can be consistently implemented in beginner to advanced levels courses. Moreover, this approach aims to address the central question in causal…

Using data from the 2016 Survey of Consumer Finances, this study investigates factors that affect electronic banking adoption rates. Financial knowledge, income, education, and credit card ownership are associated with a high probability of electronic banking adoption. However, age is negatively associated with the probability of online banking…

This literature-based, classroom-tested novel innovation of educational song (with pedagogical scaffolding) may help engage students explore and address common resistant misconceptions in probability (e.g. all outcomes are equally likely) and in statistics (e.g. correlation must imply either causation or coincidence).

A number of probabilistic experiments are described to estimate e, p and v2, with results from computer simulations being used to investigate convergence. A number of possible classroom exercises and extensions are presented.