In this literature review, we survey student naïve ideas (frequently referred to as 'misconceptions') that plausibly relate, at least in part, to difficulty in understanding probability. We collected diverse naïve ideas from a range of topics in physics: Non-linear Dynamics; Cosmology; Thermal Physics; Atomic, Nuclear, and Particle Physics;…

Many people are unduly intimidated by the thought of teaching probability. At its most basic level, probability revolves around being able to predict whether a future event is certain, possible, or impossible. These basic concepts grow and develop into a more mathematical understanding of likelihood as children learn to quantify that…

This study compared effects of student choice of task sequence to two variations in teacher-manipulated task sequences on on-task behavior of elementary-aged students with disabilities. Researchers modified Call et al.'s (J Appl Behav Anal 42: 723-728, 2009) demand assessment to determine high-, moderate-, and low-probability tasks. Next,…

The high-probability (high-p) instructional sequence typically consists of the delivery of a series of high-p instructions immediately followed by the delivery of a low-probability (low-p) instruction and is a commonly used procedure to increase compliance among children with intellectual disabilities. In the current study, we used withdrawal…

We investigate encoder-decoder GRU networks with attention mechanism for solving a diverse array of elementary math problems with mathematical symbolic structures. We quantitatively measure performances of recurrent models on a given question type using a test set of unseen problems with a binary scoring and partial credit system. From our…

Students leaving institutions of higher education prior to graduation leads to millions of dollars in lost revenue (Sutter & Paulsen, 2016; Undergraduate Retention and Graduation Rates, 2018). Retention theorists Tinto (1975) and Kuh (2008) recommend practices such as academic interaction, social interaction, faculty engagement with students,…

This tutorial uses publicly available data from drug makers and the Food and Drug Administration to guide learners to estimate the confidence intervals of COVID-19 vaccine efficacy rates with a Bayesian framework. Under the classical approach, there is no probability associated with a parameter, and the meaning of confidence intervals can be…

This article presents a series of three experiments investigating the processing of nested epistemic expressions, utterances containing two epistemic modals in one clause, such as "he 'certainly may' have forgotten." While some linguists claim that in a nested epistemic expression one modal is semantically embedded within the scope of…

With limited budgets and increasing enrollment demands, colleges need fast, free, and practical solutions supporting academic success and retention. The Academic Reality Check (ARC) tool helps to predict traditional freshmen awareness of their own academic expectations in college quickly, supporting the financial investment being made by all…

Probability is a difficult concept, which is not always taught accurately. This study aims to clarify how experimental and theoretical probabilities are taught in Japanese 7th and 8th grades through a textbook analysis. We analyzed seven, government approved Japanese 7th and 8th grade textbooks each. Focusing on the definition and explanation of…

Preventive efforts are necessary to reduce the risk for problem gambling among adolescents, especially among more at-risk youth. However, only a small proportion of the preventive initiatives implemented in the field of adolescent problem gambling are based on robust theoretical models and have been evaluated in their efficacy. By referring to the…

Prospection is associated, in varying degrees, with a sense that imagined events will (or will not) happen in the future--referred to as "belief in future occurrence." The present research investigated to what extent this belief is justified and predicts the actual occurrence of events in the future. In two studies, participants rated…

Purpose: This study builds a stochastic model of a discrete-time Markov chain (DTMC) that fits well with a dataset of professional playing records. Methods: The point-by-point dataset of Men's single matches played in the Association of Tennis Professionals (ATP) tour from 2011 to 2015 is analyzed. A long-debated assumption on the…

When people interpret the outcome of a research study, do they consider other relevant information such as prior research? In the current study, 251 college graduates read a single brief fictitious news article. The article summarized the findings of a study that found positive results for a new drug. Three versions of the article varied the…

One common score reported from diagnostic classification assessments is the vector of posterior means of the skill mastery indicators. As with any assessment, it is important to derive and report estimates of the reliability of the reported scores. After reviewing a reliability measure suggested by Templin and Bradshaw, this article suggests three…