A continued and ongoing call for improvement and change in mathematics teaching and learning suggests a need for re-visioning the ways in which mathematics teachers are educated. Suggestions include incorporating reform teaching in university courses that integrate mathematics content with pedagogy and perturbate mathematical beliefs. The context…

The concepts and ideas of mathematics is a major element of educational curriculum. Many different instructional strategies are implemented in mathematics classrooms. The purpose of this study was to evaluate the effect of an instructional model utilizing hands-on learning and use of manipulatives on mathematics achievement of middle school…

Finding patterns, and making and justifying conjectures are considered the building blocks of mathematical reasoning and proof. Curriculum revisions in the United States and Australia place increased emphasis on problem solving and reasoning in the primary school curriculum. A number of curriculum resources for teachers are available but under…

This study investigated the effects of two generative learning activities on students' academic achievement of the part-whole meaning of rational numbers while using virtual manipulatives. Third-grade students were divided randomly in two groups to evaluate the effects of two generative learning activities: answering-questions and…

Making constructions with paper is called "origami" and is considered an art. The objective for many fans of origami is to design new figures never constructed before. From the point of view of mathematics education, origami is an interesting didactic activity. In this article, the authors propose to help High School students understand new…

It is instructive and interesting to find hidden numbers by using different positional numeration systems. Most of the present guessing techniques use the binary system expressed as less-than, greater-than or present-absent type information. This article describes how, by employing four cards having integers 1-64 written in different colours, one…

Research on literacy instruction for students with multiple disabilities is limited. Empirical research on braille instruction for students with multiple disabilities that include congenital blindness is virtually nonexistent. This case study offers initial insight into possible methods of early braille literacy instruction for a student with…

This article focuses on the development and problematization of a task designed to foster spatial visual sense in prospective and practicing elementary and middle school teachers. We describe and analyse the cyclical stages of developing, testing, and modifying several "task drafts" related to ideas around dilation and proportion. Challenged by…

For scientists, the sandbox serves as an analog for faulting in Earth's crust. Here, the large, slow processes within the crust can be scaled to the size of a table, and time scales are directly observable. This makes it a useful tool for demonstrating the role of inquiry in science. For this reason, the sandbox is also helpful for learning…

The purpose of this study was to systematically replicate and extend previous studies of the TOUCHMATH program, a multi-sensory mathematics program (Bullock, Pierce, & McClellan, 1989). Three middle school students with moderate and multiple disabilities (e.g., autism and moderate intellectual disabilities) participated. Students were taught how…

More than forty years ago, Jerome Bruner developed a theory about the use of physical models or manipulatives when teaching math. He argued that students would learn mathematics better if they fist encountered concepts and procedures by actively modeling them with manipulatives. In this article, the author describes: (1) some of the unexpected…

Recent research suggests that children could be engaged in probability tasks at an early age and task characteristics seem to play an important role in the way children perceive an activity. To this direction in the present article we investigate the role of some basic characteristics of probabilistic tasks in their design and implementation. In…

This paper highlights the Indonesian's road transportation contexts, namely, angkot, that used in learning and teaching of addition and subtraction in first grade and second grade MIN-2 Palembang. PMRI approach that adopt from RME [Realistic Mathematics Education] was used in this design research. From teaching experiment was founded that the…

Although the use of physical manipulatives, which have been emphasized to use in preschool education program and primary and secondary mathematics curriculum, in classroom environments is old, it is very new to use virtual manipulatives in classroom environments. The selection, preparation, and the integration to learning environments of both…

This study identified variations in the learning trajectories of Tier II students when learning equivalent fraction concepts using physical and virtual manipulatives. The study compared three interventions: physical manipulatives, virtual manipulatives, and a combination of physical and virtual manipulatives. The research used a sequential…