An understanding of concepts related to geometric measurement is considered to be critical to the development of individuals' mathematics knowledge. Specifically, the National Mathematics Advisory Panel's 2008 report listed the skills of area and perimeter as foundational for algebra readiness. Yet, this content knowledge continues to be an…

The present study examined whether the number of manipulatives used in arithmetic strategy instruction influences learning. First graders were randomly assigned to one of the following conditions for learning a decomposition strategy to solve arithmetic problems: intervention with a single manipulative, intervention with multiple manipulatives,…

This work addresses visual content accessibility for blind and low vision communities through the lenses of technique development and community engagement with an overarching question of "How can we make tactile pictures more available?" This inquiry takes a participatory, action-based design approach to break this question down based on…

In this article, we draw on assemblage theory to investigate how children aged 5 engage with different material surfaces to explore ordinal and relational aspects of number. The children participate in an activity in which they first interact with a strip on the floor, then with a multi-touch iPad application, to work with numbers in expressive…

The main difficulty in studying molecular symmetry is the mental manipulation of molecules when searching for symmetry. Numerous methods of teaching molecular symmetry require students to identify symmetry elements of objects or molecules. As an alternative, we propose activity that identifies symmetry using elements outside the objects, together…

This paper aims to present ways in which origami can be used in the mathematics classroom. Origami provides powerful tools for examining mathematical concepts. The authors explain how origami can be used in senior high school and tertiary levels to explore a Platonic octahedron by focusing on connections between mathematical topics. The folding…

The teaching of first-degree equations is a key point in secondary school curricula and requires the careful planning and selection of appropriate teaching materials. On the other hand, dyslexia, a specific learning disability, is increasingly common in the classroom. Thus, in the context of inclusion, the teaching methodology used by the…

The combined use of origami and dynamic geometry software has recently appeared in mathematics education to enrich students' geometric thinking. The objective of this research is to study the roles played by the interaction of two artifacts, paper folding and GeoGebra, in a construction-proving problem as well as its generalization in the…

How do people use objects and gestures to shape scientific argumentation? This paper engages the concept of "entanglement" as a heuristic for considering the potentials and constraints that gestures and materials create for interactants. Drawing on video recorded data from an academic-year-long linguistic ethnography of a high school…

Finding teaching methods that foster students' development of geometric thinking and visualization skills is still a current challenge. This study analyses the effects of the combined use of paper folding and dynamic geometry on high school students' geometric thinking and visualization skills. A quasi-experimental study pretest/post-test design…

Xerogels, exemplified by silica gel, are substances formed by drying gels, resulting in a loss of their internal solvents. Understanding the production and properties of xerogels is crucial, owing to their widespread applications. Xerogel chemistry is widely utilized in several substances; therefore, understanding this chemistry is extremely…

Non-rigid spatial thinking, or mental transformations where the distance between two points in an object changes (e.g., folding, breaking, bending), is required for many STEM fields but remains critically understudied. We developed and tested a non-rigid, ductile spatial skill measure based on reasoning about knots with 279 US adults (M = 30.90,…

The objective of the study was to use mortar to teach the concept of the surface area of a cylinder. The target group included knowledgeable Akan traditional artists, seasoned mathematics teachers, and senior high school students from the Ashanti Region in Ghana. Data collection tools included Focus Group Discussions and interviews, with informed…

This study explores two Year 2 teachers' perceptions of the affordances of a novel mathematical manipulative, the Keyboard, based on their observations of its use in the classroom. Analysis of the semi-structured interviews indicated that the Keyboard's linear structure, design features, and hands-on nature promoted flexible number strategies,…

This article addresses the nature of student-generated representations that support students' early algebraic reasoning in the realm of generalized arithmetic. We analyzed representations created by students for the following qualities: representations that distinguish the behavior of one operation from another, that support an explanation of a…