Although there is no generally accepted list of criteria for the acceptance of proofs in mathematical practice, judging the acceptability of purported proofs is an essential aspect of handling proofs in daily mathematical work. For this reason, school students, university students, and mathematicians need to hold certain acceptance criteria for…

In institution research, surveys of students or faculty can be a helpful tool to gather data. Surveying a sample of students or faculty and computing weights to be able to make inferences to your student or faculty population are important. In this chapter, we introduce the connected topics of sampling and weighting. We begin with a discussion on…

In this article, I introduce Robert Brandom's inferentialism as an alternative to common representational interpretations of constructivism in science education. By turning our attention away from the representational role of conceptual contents and toward the norms governing their use in inferences, we may interpret knowledge as a capacity to…

There is much debate about the place of probability in an introductory statistics course. While students may or may not use probability distributions in their post-collegiate lives, they will likely be faced with day-to-day decisions that require a probabilistic assessment of risk and reward. This paper describes an innovative way to teach…

Purpose: This article presents a basic exploration of Bayesian inference to inform researchers unfamiliar to this type of analysis of the many advantages this readily available approach provides. Method: First, we demonstrate the development of Bayes' theorem, the cornerstone of Bayesian statistics, into an iterative process of updating priors.…

The analysis of covariance (ANCOVA) is a useful statistical procedure that incorporates covariate features into the adjustment of treatment effects. The consequences of omitted prognostic covariates on the statistical inferences of ANCOVA are well documented in the literature. However, the corresponding influence on sample-size calculations for…

Teacher shortages and attrition are problems of international concern. One of the most frequent reasons for teachers leaving the profession is a lack of job satisfaction. Accordingly, in this study we have adopted a causal inference machine learning approach to identify practical interventions for improving overall levels of job satisfaction. We…

Corpus-based studies have offered the domain definition inference for test developers. Yet, corpus-based studies on temporal fluency measures (e.g., speech rate) have been limited, especially in the context of academic lecture settings. This made it difficult for test developers to sample representative fluency features to create authentic…

Extensive Reading (ER) emerges as a promising approach for acquiring a foreign language, allowing for a large amount of language exposure. However, the influence of supplementary activities within ER programs has yet to be thoroughly investigated, despite previous studies suggesting their potential effectiveness. This research investigated the…

The impact of a major historical event on child and youth development has been of great interest in the study of the life course. This study is focused on assessing the causal effect of the Great Recession on youth disconnection from school and work. Building on the insights offered by the age-period-cohort research, econometric methods, and…

Socially savvy individuals track what they know and what other people likely know, and they use this information to navigate the social world. We examine whether children expect people to have shared knowledge based on their social relationships (e.g., expecting friends to know each other's secrets, expecting members of the same cultural group to…

An important component of reading comprehension is the reader's capacity to make inferences that can maintain the coherence between propositions within the text. However, the cognitive and linguistic skills that underlie online inference making remain elusive. The authors aimed to clarify the effects of vocabulary and text comprehension on…

Too often, statistical inference and probability are treated in schools like they are unrelated. In this paper, we describe how we supported students to learn about the role of probability in making inferences with variable data by building models of real world events and using them to simulate repeated samples.

While acknowledging the phenomenon of "happy victimizing" (HV), the classical explanation is questioned and challenged. HV is typically explained by a lack of moral motivation (MM) that is thought to develop in late childhood and adolescence. Apart from empirical evidence for widespread HV in adulthood, there are also strong theoretical…

We present a conceptual framework that leverages synergies between classroom assessment (CA) practices and self-regulated learning (SRL) theory to support academic growth and instruction. We articulate the processes shared by CA and SRL, drawing on a model of SRL with three phases: forethought, performance, and self-reflection. We blend this SRL…