Tentativeness is often framed as a deficit, synonymous with timidity or a lack of confidence. In this article, I situate the notion of tentativeness in an enactivist framework and describe its role as both a strategy and affordance in a spatial visualization exercise. Drawing on insights from mathematics education and ecological psychology, I…

This article discusses a set of tasks that introduce dilations using nonstandard figures, incorporating snippets of classroom conversations as students try to make sense of the specified tasks, to show how they progress in their understanding. The authors provide a theoretical foundation for the tasks and discuss the pedagogical implications for…

Tangible programming tools have become a mainstream teaching aid in gamification programming learning (GPL) due to their interactivity and ability to enhance novice learners' computational thinking and spatial reasoning skills. However, comparing the relative efficacy of different programming tools that simultaneously support these skills was not…

Schematic chunks denote patterns, schemes, or sophisticated rules and knowledge stored in the long-term memory in the form of chunks. We investigated whether schematic chunking is effective in improving the performance of students with math difficulties (MD) and students at risk of math failure, and how the complexity level of geometry problems…

Today, individuals need a solid understanding of how earth as a system works in order to understand and develop solutions for science-based issues affecting societies on a global scale such as natural disasters, global warming or COVID-19 pandemic. Humans also deliberate space investigations, such as interplanetary travels and life in space.…

3D geometry is an essential concept in mathematics because it relates to real-world experiences and numerous mathematical topics. However, some students still have difficulty understanding this geometry. Therefore, this study aims to identify and describe students' epistemological obstacles to the dimensions of representation, spatial structure,…

Sixty (35 girls) ninth graders were assessed on measures of algebraic reasoning and usage of visual and symbolic representations (with a prompt for visual use) to solve equations and inequalities. The study grouped visual representations into two categories: arithmetic-visual, which entailed the use of real-world objects to represent specific…

This study enquires into the embodied processes of children in solving multiplication tasks, considering how such processes can expand access to spatial reasoning skills and simultaneously develop students' understanding of multiplication. The analysis focused on four Year 2 students as they completed two embodied tasks. The aim was to understand…

In the modern era, Geographic Information Systems (GIS) have revolutionized diverse fields yet a deficiency in geographical education lingers in the U.S. educational system. This dissertation offers a thorough analysis of this gap, focusing on the potential of the GIS as an innovative solution for enriching geographical education. The Geospatial…

Engineering Drawing (ED) is one of the fundamental courses for various engineering disciplines. However, first-year engineering undergraduates often face difficulties in learning and solving ED problems that require visualisation of 3D objects. Conventional and modern teaching methods do assist the teaching-learning of a subject but do not…

This article highlights the main ideas that underlie the differences in potential pragmatic knowledge constructs students experience when solving problems, between the zone of proximal development (ZPD) and the zone of potential construction (ZPC). This qualitative research is based on a phenomenological approach to finding the meaning of things…

Visualisation is a necessary ability for students' mathematical education. The appearance of multiple Dynamic Geometry Software (DGS) has a stronger impact each day, and it raises many questions in the minds of researchers. In this paper, we present the findings of our exploratory case study in which a student preferring visual problem solving…

Myriad research in a variety of contexts shows spatial skills benefit students; however, they are not given enough attention in classroom instruction. In this review we systematically explore geoscience education literature focusing on spatial interventions to answer research questions on trends in spatial skills and other characteristics. We…

High school teachers are mentors and facilitators that must be concerned about their students' formal thinking abilities. Students may not take a conservation task seriously because they perform operations without consulting. This necessitates modifying the learning process to increase student motivation. Therefore, this study aimed to examine…

Today, technology needs to be used effectively in the structuring of learning environments where learners can learn by experimenting and exploring knowledge. Parallel to the adoption of the constructivist approach in the development of teaching programmes in Turkey, individuals should be able to live and practice developing and learning by…