Students' use of technology allows them to generate and manipulate multiple representations of a concept, compute numbers with relative ease, and focus more on mathematical concepts and higher-order thinking skills. In elementary school mathematics classrooms, students develop higher-order thinking skills by completing complex tasks that require…

Playing mathematical games enables middle school students to engage their minds while discovering and using meaningful strategies. Blokus[R] is one such game. While playing, students exercise spatial awareness, analyze attributes of two-dimensional shapes, compare patterns, and use logic--all of which encompass NCTM's Content Standards. Students…

The National Council of Teachers of Mathematics (NCTM), through its Connections Standard, highlights the importance of "the opportunity for students to experience mathematics in a context." Seeing how mathematics can be used to describe real-world phenomena can motivate students to learn more mathematics. Connecting mathematics to the real world…

Mathematics teachers can use a broad range of technologies--calculators, computers, display systems, and others--as teaching and learning tools. Simply using technology is not enough; well-intentioned activities can fall flat or pose roadblocks to student understanding, and practical issues can interfere with student success and lasting concept…

Visualising subsurface processes in hydrogeology and building intuition for how these processes are controlled by changes in forcing is hard for many undergraduate students. While numerical modelling is one way to help undergraduate students explore outcomes of multiple scenarios, many codes are not user-friendly with respect to defining domains,…

As elementary school students attempt to understand mathematical concepts, engaging in the processes of reasoning and sense making is important. To do so, students should be expected to listen to and challenge their classmates' ideas. Disagreements provide students with the impetus to think deeply about mathematics in an effort to make sense of a…

"Saxon Math" is a textbook series covering grades K-12 based on incremental development and continual review of mathematical concepts to give students time to learn and practice concepts throughout the year. A distinguishing feature of "Saxon Math" is its use of a distributed approach--spreading practice and instruction for any…

The uptake of technology and specifically, GeoGebra software, in teaching mathematics has had mixed success in spite of its documented benefits. This study investigated teachers' perspective towards training and eventual use of GeoGebra as a tool to enhance learning of mathematics. In this article we share findings from a larger study that was…

In Singapore, primary school students are taught to use bar diagrams to represent known and unknown values in algebraic word problems. However, little is known about students' understanding of these graphical representations. We investigated whether students use and think of the bar diagrams in a concrete or a more abstract fashion. We also…

This study examined students' understanding of diagrams and their use of diagrams as tools to solve mathematical word problems. Students with learning disabilities (LD), typically achieving students, and gifted students in Grades 4 through 7 ("N" = 95) participated. Students were presented with novel mathematical word problem-solving…

In this paper, we investigate whether and how mathematics factors into students' performance in IT learning. The involved cognitive levels of students learning mathematics and hence problem solving, are correlated to how well they are able to transpose their knowledge and apply it to problem solving in the IT field(s). Our hypothesis is that if…

This mixed methods study describes the effects of a "minute contextual experience" on students' ability to solve a realistic assessment problem involving scale drawings and proportional reasoning. Minute contextual experience (MCE) is defined to be a brief encounter with a context in which aspects of the context are explored openly. The…

The purpose of this study was to explore the impact of incorporating Magic Board in the instruction of concepts related to area. We adopted a non-equivalent quasi-experimental design and recruited participants from two classes of third-grade students in an elementary school in Taoyuan County, Taiwan. Magic Board was used as a teaching aid in the…

Mathematical development processes begin long before school starts and the importance of previous mathematical knowledge for later school achievements is beyond dispute. For a suitable pre-school education, the focus of interest must be to find out which early learning processes prepare children best. In this article, the acquisition of the key…

Deficiencies in mathematics standardized test scores prompted school district policymakers to consider implementing a program designed to increase students' basic multiplication fact skills. This study was an evaluation of the Math Factual Operations for Understanding program. The program, marketed with a martial arts theme, was intended to…