Reduction is one of the key techniques used for problem-solving in computer science. In particular, in the theory of computation and complexity (TCC), mapping and polynomial reductions are used for analysis of decidability and computational complexity of problems, including the core concept of NP-completeness. Reduction is a highly abstract…

In this article, Dominic Griffiths reflects upon the current cultural gap between those who locate themselves as working "on the inside" of the world of "special educational needs" and the "inclusion movement" and those who might be described as "mainstream classroom teachers". Griffiths warns of the dangers…

For decades, students have been encouraged to use "Please Excuse My Dear Aunt Sally" as a means of learning the order of operations. Teachers unfamiliar with the Aunt Sally mnemonic are perhaps more familiar with a mnemonic such as PEMDAS. Each mnemonic is intended to convey "parentheses, exponents, multiplication, division,…

Many studies mentioned the deductive nature of Mathematical Induction (MI) proofs but almost all fell short in explaining its potential role in the formation of the misconceptions reported in the literature. This paper is the first of its kind looking at the misconceptions from the perspective of the abstract of the deductive logic from one's…

Educators often have the feeling that they are finding it harder and harder to reach their students. That is why they are so feverishly interested in smartboards or learning platforms or anything new on the market that might help. Every new tool seems like a possible solution, although sometimes educators really don't know what the problem is or…

By referring to the theory of semiology, this study aims to present how certain phrases, applications, images, and objects, which are assumed to be unnoticed in the educational process as if they were natural, could be read as signs encrypted with certain ideologically-loaded cultural codes, and to propose semiology as a method for educational…

Comics have an important role in non-formal learning environments. However, how comics may be effective teaching/learning activitities in formal education is an ongoing debate in literature. The purpose of this study is to create and evaluate a series of instructional comics about heat related concepts to be used as teaching/learning activities in…

Physics is a tough and challenging topic. Facilitating the learning of physics requires an innovative and constructivist view of teaching that promotes an active learning environment and an effective implementation of educational technology. The purpose of the study is to investigate whether the use of computer simulations combined with hands-on…

Drawing on findings from two studies, this article focuses on the expectations of students and teachers in higher education, when learning via asynchronous online discussions. In particular, this synthesis highlights a divergence of expectations. The first study investigated how students and teachers experienced asynchronous online discussion…

Objectives: Parents of children with autism spectrum disorder (ASD) report high levels of stress that can interfere with important child and family treatments. Limited past research considers how the caregiving experience and social determinants of health may contribute to treatment engagement and outcomes, particularly in underrepresented…

The academic study of "race" varies from discipline to discipline. "Race" is placed in quotes in this instance because historically race was considered a biological category that denoted unalterable biological characteristics between races. There is a long intellectual history of documenting phenotypic differences between…

Challenging the embedded mythologies that surround Anzac, especially as the centenary of First World War played out over the 2014 to 2018 commemoration period, can be confronting for tertiary students as well as a difficult space for tutors to navigate. This is especially the case for teacher education students who form the majority cohort taking…

More than 50 years ago biologist Garrett Hardin published his influential essay 'The Tragedy of the Commons'. In his essay, Hardin argued that in situations where people share resources, external intervention via governmental regulations or privatization of the resource is needed to avoid resource overexploitation. While the article is considered…

In this paper we build a conceptual framework to argue for culturally compelling instruction that leads to teaching for change. Culturally compelling instruction calls for a substantive shift in how teachers view their students, communities, and what the perspective might mean for students' future when they have access to alternative learning…

Visualisation is an important part of the cognitive process in mathematics. Pedagogical-psychological theoretical frameworks concerning cognitive processes consider perception and visualisation as basic conditions for the creation of correct mental imagery. This study examined visualisation as a key factor in the development of geometric concepts…