Incorporating visual representations, rather than strictly relying on symbolic representations, is a research-based strategy for supporting fraction learning. However, students must also make transitions between visual and symbolic fraction representations to apply the conceptual understanding they gained from visual representations to symbolic…

Background: Recent advances in technology and computer simulation have expanded the use of virtual manipulatives in engineering education. However, especially in disciplines in which tactile concepts (e.g., force) are included, it has been claimed that learning could be compromised by substituting physical materials with computer simulations.…

It is essential for introductory level chemistry students to understand atomic models and how atoms interact to form chemical bonds. The tactile model in this article utilizes marbles to represent subatomic particles, a cup to represent the nucleus and wooden rings to simulate the electron orbitals. These inexpensive items can be combined to…

Abundant prior research has compared effects of physical and virtual manipulatives on students' conceptual learning. However, most prior research has been based on conceptual salience theory; that is, it has explained mode effects by the manipulative's capability to draw students' attention to conceptually relevant (visual or haptic) features.…

Supporting teachers' implementations of technology in the classroom is a critical and longstanding issue in mathematics education. As access to various technology resources grows, a need exists for professional development opportunities that prepare teachers to integrate technology effectively to support students' mathematical learning…

This paper is intended to investigate the merits of adding manipulative devices and solid model simulations to accompany traditional lecture and demonstration materials to a Dynamics course. Based on the successes of Graphics courses using manipulative devices and simulation software to enhance spatial visualization skills in engineering students,…

The goal of this study is to analyze undergraduate elementary school pre-service teachers' conceptions and misconceptions of physical and virtual manipulative materials using an interpretive "framework." The "framework" involved the use of the "Concrete," "Pictorial" and "Abstract cognitive levels"…