Manipulative-based instructional sequences have proven to be successful with students with disabilities. However, instruction must not only support the acquisition of conceptual and procedural knowledge but also build on students' strengths. This article describes how teachers can use manipulative-based instructional sequences to support the…

Across multiple age groups and academic disciplines, research has shown that incorporating multimodal signs into instruction can enhance student learning. For instance, gesture might be synchronized with speech or written signs. The present study reports on the semiotic resources used by a teacher-researcher to support kindergarten students'…

Similarity is a crucial concept introduced in the 8th grade, and it is further developed and reinforced through associations during high school. This research aims to investigate how 8th grade students construct the concept of similarity using concrete manipulative support within the framework of APOS theory. The research was conducted as a…

This study aims to examine the impact of mathematics teaching supported by virtual manipulatives in an online learning environment on the academic achievement of primary school 4th grade students. In the study using a mixed method, experimental (n=24) and control (n=24) groups were established. While the experimental group was taught online with…

Virtual tools are rapidly supplementing physical tools in classrooms. Although extensive research has compared the benefits of using virtual and physical manipulatives, few studies have systematically explored the learning benefits of using a physical and a virtual tool. As the major learning goal in science, technology, engineering, and…

Fractions are an important concept used throughout advanced mathematical ideas and everyday life. Students need a solid understanding of fraction concepts, such as magnitude, equivalence, and operations. However, many students, including students with learning disabilities (LD) in mathematics, struggle with fractions. In this article, the use of…

This study aimed to investigate whether the presence (when using physical manipulatives [PMs]) or absence (when using virtual manipulatives [VMs]) of haptic sensory feedback (i.e., open-ended haptic manipulation of physical materials with the use of the hands) during experimentation can impact preschoolers' conceptual understanding of concepts…

Teachers and teacher educators have been sharing strategies and resources for implementing mathematics routines in National Council of Teachers of Mathematics (NCTM) journals for years. A less commonly shared mathematics routine, especially with young learners, is "Clothesline Math" (Shore, 2017, 2018). In this routine, teachers create…

Measurement concepts are an essential foundation for more advanced mathematical concepts. To address the challenges of students with autism spectrum disorder (ASD) in learning measurement concepts, this study investigated the effects of using a combination of explicit instruction and virtual manipulatives (VMs) to teach measurement concepts to…

This article describes a hands-on geometric tiling art activity used in two third-grade classes and four fifth-grade classes in a rural public elementary school with class sizes of around 20 students each. The lesson investigates concepts in geometry, number sense, and probability. Examples of student work and takeaways for other teachers…

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…

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…

This study reconsidered educational materials by analyzing educators' opinions regarding handmade manipulative materials (HMMs) for children with profound intellectual and multiple disabilities in Japan. Instead of concurring with the view that educational materials are static and inert products, the author adopted an agential realist perspective…