Qualitative secondary analysis has generated heated debate regarding the epistemology of qualitative research. We argue that shifting to an abductive approach provides a fruitful avenue for qualitative secondary analysts who are oriented towards theory-building. However, the concrete implementation of abduction remains underdeveloped--especially…

Recent studies suggest that making judgments of learning (JOLs)--self-assessment of current learning status--may not merely be a neutral cognitive process, but can directly improve learning through what is called 'JOL reactivity'. This study investigated whether making JOLs can facilitate the learning of previously studied materials (backward…

Inductive reasoning is used when generalizing from particular cases to a general theory. The purpose of this paper is to present some highlights in the history of the problem of induction through notes on a selection of writers from ancient Greece to modern times. These notes contribute to the argument that there is a fundamental problem with…

Creativity is typically defined as the generation of novel and useful ideas or artifacts. This generative capacity is crucial to everyday problem solving, technological innovation, scientific discovery, and the arts. A central concern of cognitive scientists is to understand the processes that underlie human creative thinking. We review evidence…

Despite its proven added value, modeling-based learning (MbL) in science is not commonly incorporated into the early grades. Our purpose in this descriptive case study was to enrich our understanding of how kindergarten children enact MbL by examining these children's constructed models and their accompanying oral descriptions of their models. For…

This paper introduces the concept of logical consistency in students' thinking in mathematical contexts. We present the Logical in-Consistency (LinC) instrument as a valuable assessment tool designed to examine the prevalence and types of logical inconsistencies among undergraduate students' evaluation of mathematical statements and accompanying…

The import or force of the result of a statistical test has long been portrayed as consistent with deductive reasoning. The simplest form of deductive argument has a first premise with conditional form, such as p[right arrow]q, which means that "if p is true, then q must be true." Given the first premise, one can either affirm or deny…

Background: Recent studies have revealed the association between mapping and arithmetic (Ferres-Forga et al., "J. Numer. Cogn.", 8, 2022, 123; LeFevre et al., "J. Numer. Cogn.", 8, 2022, 1). Aim: The underlying mechanism remains unclear. Materials & Methods: The current study recruited 118 kindergarten children and followed…

Reasoning with mathematics plays an important role in university students' learning throughout their courses in the scientific disciplines, such as physics. In addition to understanding mathematical concepts and procedures, physics students often must mathematize physical constructs in terms of their associated mathematical structures and…

In this conceptual paper, the author argues that equity research in mathematics education is a genre that operates according to certain implicit ideological and rhetorical rules and assumptions--or discursive formations--that form how one can think about equity and inequity. One such rule that forms the basis of this paper is the axiom of…

In recent years, programming education has gained recognition at various educational levels due to its increasing importance. As the need for problem-solving skills becomes more vital, researchers have emphasized the significance of developing algorithmic thinking (AT) skills to help students in program development and error debugging. Despite the…

This phenomenology research aims to examine prospective elementary mathematics teachers' proving and proof evaluation and their thoughts on convincing according to proof type and argument type. The participants were eight prospective teachers. The data collection tools were semi-structured group interviews, interviews video recordings and the…

Analogy has played an important role in developing modern mathematics. However, it is unclear to what extent students are granted opportunities to productively reason by analogy. This article proposes a set of lessons for introducing topics in ring theory that allow students to engage with the process of reasoning by analogy while exploring new…

In emergence-based leadership education, the knowledge and experiences co-created in the classroom may violate some of the assumptions behind traditional teaching and learning assessment methods. Thus, traditional assessment, evaluation, and outcomes for courses utilizing emergence-based methods, such as intentional emergence, case-in-point,…

Purpose: This study aims to extend the current literature on International Financial Reporting Standard (IFRS) teaching by examining the argument by Hodgdon et al. (2013) that arranging accounting prescriptions into the level of concept, principle and rules is helpful to students in comprehending the complex set of accounting standards. Besides,…