This article develops a set-theoretic approach to Bayes's theorem and Bayesian process tracing. In the approach, hypothesis testing is the procedure whereby one updates beliefs by narrowing the range of states of the world that are regarded as possible, thus diminishing the domain in which the actual world can reside. By explicitly connecting…

This study describes the metacognition profile of female and male mathematics' education students in understanding the concept of integral calculus in the category of classifying and summarizing. This research method was an explorative method with the qualitative approach. The subjects of this study were mathematics education students at the…

As the use of diagnostic assessment systems transitions from research applications to large-scale assessments for accountability purposes, reliability methods that provide evidence at each level of reporting are needed. The purpose of this paper is to summarize one simulation-based method for estimating and reporting reliability for an…

This article addresses some fundamental issues of concept mapping relevant to discipline-based education. The focus is on manufacturing knowledge representation from the viewpoints of both human and machine learning. The concept of new-generation manufacturing (Industry 4.0, smart manufacturing, and connected factory) necessitates learning factory…

There is a need to improve the ways in which Qualitative Comparative Analysis (QCA) handles qualitative data. To this end, we propose to include ideas and routines from Grounded Theory (GT) in QCA. We will first argue that there is a natural fit between the two on the ontological level. On the methodological level, we will demonstrate in what ways…

Exploratory cognitive diagnosis models (CDMs) estimate the Q matrix, which is a binary matrix that indicates the attributes needed for affirmative responses to each item. Estimation of Q is an important next step for improving classifications and broadening application of CDMs. Prior research primarily focused on an exploratory version of the…

The Australian brushtail possum ("Trichosurus vulpecula") is one of many animal species classifed as alien under the biosecurity system in New Zealand. However, it is against the possums that a relentless campaign is perpetrated. This article attempts to explain some of the many reasons behind such intense negativity, and in doing so,…

In 2013, the Council of Chief State School Officers (CCSSO), working collaboratively with state education agencies, released a set of criteria for states to use to evaluate and procure high-quality assessments. The mathematics section of the document included five content-specific criteria to evaluate alignment of assessments to college- and…

BEAM is a schema for categorizing the rhetorical positions of authors according to the author's intention or purpose of the information. This Innovative Practices piece critiques common methods of teaching source evaluation and proposes that instruction librarians teach BEAM to students who may struggle using a source once they have located it. A…

We encounter variables with little variation often in educational data mining (EDM) due to the demographics of higher education and the questions we ask. Yet, little work has examined how to analyze such data. Therefore, we conducted a simulation study using logistic regression, penalized regression, and random forest. We systematically varied the…

To support teachers in implementing ambitious reform efforts, professional developers and teacher educators need to know more about teachers' thinking about argumentation. Specifically, there is a need to understand more about teachers' views and evaluations of "students'" mathematical arguments as they play out "in practice."…

The paper presents the results of a complex study of ?onsonantal phonemes' syntagmatics, registered at the beginning, in the middle and at the end of the word throughout the historical development of the English language. The analysis of frequencies of consonantal clusters' actualization allowed the author to characterize the regularities of their…

This study examined the development of pre-service teachers' skills in analysing the achievements of secondary school sixth grade Information Technologies and Software Course curriculum in regard to the revised Bloom's taxonomy at a western Anatolian university in Turkey. A single group pre-test, post-test experimental design was used, and 99…

Given the questionnaire design and the nature of the problem, partially ordered data that are neither completely ordered nor completely unordered are frequently encountered in social, behavioral, and medical studies. However, early developments in partially ordered data analysis are very limited and restricted only to cross-sectional data. In this…

The Autism Dysmorphology Measure is designed for non-expert clinicians. It uses an algorithm to assess 12 body regions and categorizes Autism on the number of dysmorphic regions identified; Essential ([less than or equal to] 3), Equivocal (4-5) or Complex ([greater than or equal to] 6). We evaluated 200 Indian children with Autism (mean age…