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'…

This study aimed to examine whether withholding answers coupled with physical manipulation of material strengthened by the self-explanation effect (SEE) contribute to the development of a deeper conceptual understanding and retention of learning about motion content in a hands-on (HO) learning environment. The correlation between students'…

Magnetic molecular models help students explore molecular structures and interactions. In this study, we investigated how pairs of students used magnetic models to explore hydrogen bonding and the 6-fold symmetry of snowflakes. Fourteen first-year students enrolled in a chemistry unit participated in pairs. Students' interactions with the magnetic…

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…

In a previous article, "The Shape of Reasoning: Using Geometry to Promote the Reasoning Proficiency Strand" (EJ1286217), the author put forward the argument that no medium is more powerful than geometry as a vehicle for developing the mathematical proficiency strand of Reasoning. Because geometry is so visual and tactile, the…

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…

For decades, chemical modeling sets have allowed the user to manipulate atoms and bonds using plastic/wooden ball and stick materials. Here is a design for an interlocking toy brick modeling set in which the undergraduate nursing student can manipulate electrons during the simulated chemical bonding exercise. The author presents a teaching and…

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…

In this study, a paper folding activity task, which involved reaching the Pythagorean Theorem with a series of steps was designed. The aim of the task is to reach the Pythagorean Theorem with folding activities by deductive reasoning and logical inference. The study aimed to examine the effectiveness of the task and to share the patty paper…

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…

In Japan during the 1980s, there was an interesting debate about how to teach the area of a parallelogram effectively to primary school children. Yutaka Saeki criticized the standard method, which relies on a cut-and-paste procedure. He argued that the standard method inevitably failed to convince children because it does not provide any cogent…