There is a growing consensus that algebra is an important aspect of mathematics teaching and learning and several abilities are required in order students to have successful performance in algebra. The present study uses insights from the domain of psychology to enrich what is currently known in the domain of mathematics education about the…

In educational discourse on human learning (i.e. the result of experience) and development (i.e. the result of maturation), there are three fundamental theoretical frameworks, -- behaviourism, cognitivism and constructivism, each of which have been applied, with varying degrees of success, in online environments. An ecological framework of human…

The purpose of this meta-analysis was to examine the relation between mathematics anxiety (MA) and mathematics performance among school-aged students, and to identify potential moderators and underlying mechanisms of such relation, including grade level, temporal relations, difficulty of mathematical tasks, dimensions of MA measures, effects on…

Intelligent Tutoring Systems authoring tools are highly complex educational software applications used to produce highly complex software applications (i.e. ITSs). How should our assumptions about the target users (authors) impact the design of authoring tools? In this article I first reflect on the factors leading to my original 1999 article on…

Background and Context: In spite of the decades spent developing software visualization (SV), doubts still remain regarding their effectiveness. Furthermore, student engagement plays an important role in improving SV effectiveness as it is correlated with many positive academic outcomes. It has been shown that the existing SV has failed to engage…

Fundamental to the process of Jungian individuation is the integration of ego consciousness and unconsciousness. For this to occur, the ego must be willing to consciously cooperate with the unconscious, acknowledging and nonjudgmentally accepting the imaginal communications that flow from it. The ego's decision to cooperate with the unconscious is…

User interface and data visualisation criteria are central issues in digital textbooks design. However, when applying mathematical modelling of learning process to the analysis of the possible solutions, it could be observed that results differ. Mathematical learning views cognition in on the base on statistics and probability theory, graph…

Cognitive models of multimedia learning such as the Cognitive Theory of Multimedia Learning (Mayer 2009) or the Cognitive Load Theory (Sweller 1999) are based on different cognitive models of working memory (e.g., Baddeley 1986) and long-term memory. The current paper describes a working memory model that has recently gained popularity in basic…

Although the theoretical framework of cognitive load theory has acknowledged a role for the learning environment, the specific characteristics of the physical learning environment that could affect cognitive load have never been considered, neither theoretically nor empirically. In this article, we argue that the physical learning environment, and…

Piaget's theories of the structure of knowledge, constructivist learning, and stages of development in thinking have been a cornerstone of cognitive psychology and teacher education for half a century (Piaget, 1983). More recently, his ideas about stages of cognitive development have received criticism from many quarters (Weiten, 1992), including…

The study of human learning and development from situative or sociocultural perspectives has had significant impacts on a wide range of scholarship largely driven by the theoretical and methodological focus on understanding the role of "activity systems" in cognition and development. This article first explores how situative perspectives…

Pictorial representations can play a pivotal role in both printed and digital learning material. Although there has been extensive research on cognitive techniques and strategies for learning from text, the same cannot be said for static and dynamic pictorial representations. In this paper we propose a systematic characterization of cognitive…

An iterative unpacking strategy consists of sequencing empirically-based theoretical developments so that at each step of theorizing one theory serves as an overarching conceptual framework, in which another theory, either existing or emerging, is embedded in order to elaborate on the chosen element(s) of the overarching theory. The strategy is…

Ginny Sackett lists many of the universal attributes of the absorbent mind--pattern recognition, order, incarnation, the rules for language, and numeracy. Her essay borders on the metaphysical as it suggests that the mathematical mind is really a non-entity and is responsible for all aspects of knowledge acquisition regardless of the discipline of…

Understanding methods for effectively instructing STEM education concepts is essential in the current climate of education (Freeman, Marginson, & Tyler 2014). Kolb's experiential learning theory (ELT) outlines four specific modes of learning, based on preferences for grasping and transforming information. This quasi-experimental study was…