In this article we analyze how students reason about linear combinations across multiple digital environments. We present the work of three groups of undergraduate students in the Southeast United States (US) who were considered ready to take linear algebra. The students played the game "Vector Unknown," reflected upon aspects of their…

Capitalizing on cognitive load theory and learning by analogy, we propose two instructional methods to learn a complex linear equation (e.g. two-step equation) by building on prior knowledge of a simpler linear equation (e.g. one-step equation). We will examine the proposal theoretically in this paper. In line with the design principles of…

Background: In recent years there has been a growing interest in potential pedagogical tools to be used in Physical Education (PE), and specifically in games. This has involved the exploration of both Gamification and Digital Video Games Approach (DVGA). Both are viable pedagogical tools for any teacher, and each have clearly different intentions…

Wittgenstein explores learning through practice in the "Philosophical Investigations" by means of an extended analogy with games. However, does this concern with learning also necessarily extend to "education," in our institutional understanding of the word? While Wittgenstein's examples of language learning and use are always…

We share a subset of the 41 underlying strategies that comprise five ways of reasoning about integer addition and subtraction: formal, order-based, analogy-based, computational, and emergent. The examples of the strategies are designed to provide clear comparisons and contrasts to support both teachers and researchers in understanding specific…

Intelligence typically is defined as consisting of "adaptation to the environment" or in related terms. Yet, it is not clear that "general intelligence" or g, traditionally conceptualized in terms of a general factor in a psychometrically-based hierarchical model of intelligence, provides an optimal way of defining intelligence…

The use of homework in physical education has not historically been a topic of intense study. Relatively few studies have been devoted to the topic, particularly when compared to the use of homework in classroom settings. Nonetheless, some physical educators have suggested the assignment of homework as a way to meet important objectives and…

Dialogic education has become increasingly appealing due to the recognized value of dialogue for the development of students' thinking and knowledge. Yet, its appeal has not catalysed widespread adoption of dialogic education in classrooms due partly to teachers' uncertainty over the conceptualization of dialogic education and the presence of…

A significant component of design pedagogy is the need to foster critical design thinking and to support students in understanding links between educational exercises and their potential application in professional design practice. Problem solving is central to design so it is also essential that students understand that there can be multiple…

The purpose of this paper is to compare and contrast between two theoretical frameworks for addressing nature of science (NOS) and socioscientific issues (SSI) in school science. These frameworks are critical thinking (CT) and argumentation (AR). For the past years, the first and second authors of this paper have pursued research in this area…

Using a grounded theory approach to the study of historical texts and an expert interview, we developed the Iranian hierarchical wisdom model (IHWM; Karami & Ghahremani, 2016). According to IHWM, there are three levels to wisdom: practical intelligence, wise, and sage. In this article, we discuss the model and elaborate on it. Next, we examine…

This report provides a content comparison for the 2002 Series GED® test and the current GED® for the following test topic areas: (1) Mathematical Reasoning; (2) Reasoning through Language Arts; (3) Science; and (4) Social Studies.

This paper examines the use of a simple classroom activity, in which students are asked to take action representing either collusion or competition for extra credit to teach strategic thinking required in an oligopolistic market. We suggest that the classroom activity is first initiated prior to the teaching of oligopoly and then the instructor…

This review intends to reveal the current status of the instructional practices used to enhance Critical Thinking (CrT), Clinical Reasoning and Clinical Judgement (CJ) skills and dispositions in Health Sciences Higher Education programmes. After a three-step filtering process, 28 empirical studies on the effectiveness of the instructional…

Mathematical discussions in which students compare alternative solutions to a problem can be powerful modes for students to engage and refine their misconceptions into conceptual understanding, as well as to develop understanding of the mathematics underlying common algorithms. At the same time, these discussions are challenging to lead…