To improve understanding of identities and inverses, and to provide a stronger foundation for future mathematics, Sandra Miles designed a two-part lesson that makes the relationship between identities and inverses explicit. This article illustrates Miles' teaching of the first part of the lesson, focused on addition and subtraction, and then gives…

Analogical reasoning has played a significant role in the development of modern mathematical concepts. Although some perspectives in mathematics education have argued against the use of analogies and analogical reasoning in instructional contexts, some attempts have been made to leverage the pedagogical power of analogies. I assert that with a…

This article presents a study focused on analysing the effectiveness of an activity about the use of analogies in science communication. The activity consisted of reading two science articles published in a prestigious digital newspaper about the first image of a black hole. The purpose was (i) to identify and analyse the analogies used in the…

The purpose of this study is to examine the use of a Vending Machine applet as a cognitive root for the development of preservice teachers understanding of function. The applet was designed to purposefully problematize common misconceptions associated with the algebraic nature of typical function machines. Findings indicated affordances and…

The last couple of decades have seen an enormous development in the study of embodied cognition through the investigation of conceptual mappings, such as conceptual metaphor and conceptual blending. Initially, this progress was achieved at a theoretical level, and more recently through empirical research in basic science--from psycholinguistics,…

Over the last 20 years, science education studies have reported that there are very different understandings among students of science regarding the key aspects of climate change. We used the cognitive linguistic framework of experientialism to shed new light on this valuable pool of studies to identify the conceptual resources of understanding…