Combination problems are a cornerstone of combinatorics courses, but little research has been done examining the ways that students perceive and differentiate among different combination problems. In this article, we investigate how mathematics education students (n = 18) in a discrete mathematics course view two categorically different…

Teaching our successors about the art of theory building can be a challenge. If you have taught a theory-building course in any of our fields, you may have experienced a common hazard: The seminar can devolve into yet another methods course when the more methodologically inclined take over, focusing the class's attention on the flaws in tests of…

Employing authentic cases experienced by practitioners in educational contexts is critical to expanding students' experience and engaging students in authentic problems to promote their real-world problem-solving skills. Although in real life, practitioners experience both success and failure and learn from both, little research has been done so…

Cognitive load theory is one of the most influential theoretical explanations of cognitive processing during learning. Despite its success, attempts to assess cognitive load during learning have proven difficult. Therefore, in the current study, students' self-reported cognitive load after the problem- solving process has been combined with…

Purpose: The purpose of this paper is to describe examples of the application of learning analytics (LA), including the assessment of subject grades, identifying subjects that need revision, student satisfaction and cohort comparisons, to program curriculum review. Design/methodology/approach: Examples of analyses that address specific questions…

We describe the use of student-generated video content to assess students' engagement with, and understanding of, problem-solving skills. In this framework, students are tasked with using technology to create videos that show them working through, and explaining solutions to, challenging calculus exercises. The videos are then posted online,…

The fundamental theorem of calculus (FTC) plays a crucial role in mathematics, showing that the seemingly unconnected topics of differentiation and integration are intimately related. Indeed, it is the fundamental theorem that enables definite integrals to be evaluated exactly in many cases that would otherwise be intractable. Students commonly…

How students' rigid perceptions of mathematics persist over years has been a conundrum. Students not only think that only one solution exists for a mathematical task (Schoenfeld 1985) but also rigidly fuse mathematical concepts with specific tasks. Students deserve to learn a variety of mathematical strategies to flexibly deploy at will. Teaching…

Detailed, longitudinal ethnographic approaches that explore how school success and failure evolve as interdependent sociohistorical positions are important for understanding how such processes affect unintended educational inequity in schooling. This study describes how one student comes to inhabit the identity of a disruptive student relative to…

The aim of this article is to provide a theoretical framework to strengthen design thinking and practice in the context of teaching through productive processes and using it to generate knowledge. The article explores three modes of inquiry inspired by Dewey and based on Schön, Barab & Squire and DiSalvo to investigate academic inquiry in…

Models of self-regulation describe how individuals engage deliberately and reflectively in goal-directed action in order to achieve valued goals. Studies have found that the consistent use of self-regulation in an academic setting is highly correlated with student achievement. Self-regulation plays a critical role in problem-solving, particularly…

This study aimed to determine individual- and country-level latent classes in literacy, numeracy and problem-solving competencies of individuals participating in the Programme for the International Assessment of Adult Competencies 2015. Specifically, it sought to distinguish these classes in relation to individuals' sex and to identify the state…

The article reports three simulation studies conducted to find out whether the effect of a time limit for testing impairs model fit in investigations of structural validity, whether the representation of the assumed source of the effect prevents impairment of model fit and whether it is possible to identify and discriminate this method effect from…

Background: Patients with diabetes and disabilities often have more difficulties in managing their diabetes. Little is known about how disabilities affect their use of diabetes education program. Purpose: The purpose of this study was to examine the association between disabilities and diabetes education program use for patients with diabetes and…

Gastrointestinal dysfunction in children with autism spectrum disorder (ASD) is common and associated with problem behaviors. This study describes the development of a brief, parent-report screen that relies minimally upon the child's ability to report or localize pain for identifying children with ASD at risk for one of three common…