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…

This study aims to examine changes in students' achievement in geometry, attitude towards geometry, and their self-efficacy perception of geometric knowledge while working on paper folding activities through an experimental research methodology. The sample for this experimental study was 108 ninth-grade high school students. The study's data were…

Students in a typical instrumental analysis course may learn more than 30 analytical techniques. There are more than 150 components associated with the instrumentation that they learn. To help students organize this large amount of information, we classified these components into four categories: sources, samples, discriminators, and detectors. In…

3D printing is a widely used technology in a number of STEM fields and can be incorporated into undergraduate education in order to engage students in active learning. Using the Technological Pedagogical Content Knowledge (TPACK) framework, this study examined student perceptions of completing 3D printing of a physical model in two different…

Manipulative-based instructional sequences--including both concrete and virtual manipulative instructional sequences--are evidence-based or research-based mathematical interventions for students with disabilities. However, as options for manipulative-based instructional sequences increase, educators need support in deciding the best approach. In…

The purpose of this study was to investigate how the use of the action-based manipulatives affects students' problem-solving skills, fluency, understanding, and reasoning ability in mathematics classrooms. A case study was conducted as an out-of-school project with seven second grade students who were part of the study group. Data collection…

The Indonesian 2013 curriculum requires the learning process to provide opportunities for the students to develop their higher order thinking skills. Many studies believe that the use of manipulatives are effective to foster it. However, we found that the manipulatives only available for the classroom use, while the students need to also exercise…

We describe an exercise for introducing undergraduate students to the practice of assigning tasks to followers and illustrating that proper task assignment is contingent on context. Students are assigned the roles of "manager" or "employee," and managers instruct employees how to create a penholder out of Mega Bloks® using only…

Manipulatives have been found to be effective in increasing mathematics achievement when they are put to good use (Canny, 1984; Clements & Battista, 1990; Clements, 1999; Sowell, 1989; Suydam, 1984), but their use in mathematics instruction is not clear and it is often debated to be effective (Ball, 1992; McNeil & Jarvin, 2007). The…

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,…

This study aimed to identify the needs of a 10th grade congenitally blind student in an inclusive chemistry classroom and design and develop tactile materials to teach the 'energy in living systems' topic with particular emphasis on covering the symbolic language of the chemistry. A single case study design was used to carry out an in-depth and…

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"…

Over the last two decades, the significance of academic achievement for students with disabilities in K-12 education has increased. To meet the needs of this population, educators turned to innovative strategies and technologies for instructional support in the classroom. For students with a learning disability, the need for such solutions is…

Classroom teachers try to provide opportunities for students to practice and use the algebra skills they are learning in ways that are nonroutine. They also want to help students connect the big ideas of math with the skills they are learning as part of the balance between understanding concepts and procedures. Math games can be used to accomplish…

Instruction promoting reasoning and proof should be a part of K-12 mathematics teaching. Preservice teachers (PSTs) need mathematics content instruction that helps them construct valid justifications for mathematical notions and develop positive perceptions of proof. This case study describes instruction with proof-related tasks and manipulatives…