Spatial reasoning, the ability to mentally represent and transform objects and their relations, is considered so closely connected to mathematics that there is no longer a question of whether the two are related. Instead, there remains debate about how to answer the question of why. This paper explores the way the two fields of mathematics…

This paper explores three multilingual students' (9 to 11-years-old) conceptual understanding of three-dimensional (3D) shapes as displayed through peer and classroom interactions in two New Zealand primary classes. Bakhtin's dialogic theory and Garfinkel's ethnomethodology inform the theoretical framework. The paper presents two excerpts from…

As algebra teachers, the authors explore the following question in this article: "How can algebra 1, algebra 2, and precalculus teachers support students to develop algebraic reasoning and understanding of structure that can serve them in day-to-day algebraic computation?" The article shows how the algebraic identity "(a +…

Comparing places represents one of the most traditional threads of comparative inquiry. However, international and comparative (adult) education research has to date focused on comparing places more in the sense of territorial entities. In contrast, this paper moves away from understandings of national or regional territories as given,…

The visualization of chemical compounds in three-dimensions is a foundational skill in the study and practice of chemistry and related fields, and one which has the potential to be supported by interaction with virtual models. Here, we present a collaborative learning activity piloted in first-year chemistry which investigates if inquiry-driven…

This paper argues that rationality and belief are mutually formative dimensions of school mathematics, where each term is more politically embedded than often depicted in the field of mathematics education research. School mathematics then presents not so much rational mathematical thought distorted by irrational beliefs but rather a particular…

The mental number line metaphor describes how numbers are associated with space. These spatial-numerical associations (SNA) are subserved by parietal structures (mainly intraparietal sulcus [IPS] and posterior superior parietal lobule [PSPL]). Generally, it is assumed that this association is a basic cornerstone for arithmetic skills. In this…

This literature review explores visualisation within the context of learning in design, engineering and technology education. The investigation first defines visualisation, providing examples of activities that utilise visualisation skills within an applied field. Then exploration of the mental mechanisms of visualisation used to engage with those…

There are many continuous quantitative dimensions in the physical world. Philosophical, psychological and neural work has focused mostly on space and number. However, there are other important continuous dimensions (e.g., time, mass). Moreover, space can be broken down into more specific dimensions (e.g., length, area, density) and number can be…

Based on the importance and widely use of visualization in science, this article has a three-fold aim related to the terms of visualization, representation and model that in recent years have been introduced to the field of science education without clear differentiation. Firstly, the three terms are discussed with examples to provide a common…

Organic chemistry education is one of the youngest research areas among all chemistry related research efforts, and its published scholarly work has become vibrant and diverse over the last 15 years. Research on problem-solving behavior, students' use of the arrow-pushing formalism, the investigation of students' conceptual knowledge and…

Augmented reality (AR) is currently considered as having potential for pedagogical applications. However, in science education, research regarding AR-aided learning is in its infancy. To understand how AR could help science learning, this review paper firstly has identified two major approaches of utilizing AR technology in science education,…

This paper discusses some of the complex issues involved in how Europe is represented in a range of map formats. The reader is encouraged to consider these issues by accessing recommended websites in order to analyse how Europe is represented through their published contents. Simon Catling's theoretical work on children's worlds is then used to…

Recent educational research has turned increasing attention to the structural development of young students' mathematical thinking. Early algebra, multiplicative reasoning, and spatial structuring are three areas central to this research. There is increasing evidence that an awareness of mathematical structure is crucial to mathematical competence…

Small numbers are spontaneously associated with left space and larger numbers with right space (the SNARC effect), for example when classifying numbers by parity. This effect is often attributed to reading habits but a causal link has so far never been documented. We report that bilingual Russian-Hebrew readers show a SNARC effect after reading…