In an attempt to study the emerging questions about design of mathematical tasks that could support the solving of challenging problems, we designed two settings of interactive diagrams that share an example represented as an animation of multi-process motion but differ in their organizational functions. The interactive settings, each comprising…

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…

"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…

This study attempted to determine the influence of prior knowledge in mathematics of students on learner-interface interactions in a learning-by-teaching intelligent tutoring system. One hundred thirty-nine high school students answered a pretest (i.e., the prior knowledge in mathematics) and a posttest. In between the pretest and posttest, they…

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…

Improving the mathematical skills of the next generation of students will require that elementary and middle school teachers are competent and confident in their abilities to perform fraction operations and to solve algebra equations The present study was conducted to (a) quantify relationships between prospective teachers' abilities to perform…

The aim of this study was to determine the effect of dynamic software on prospective mathematics teachers' perception levels regarding information and communication technology (ICT). The study was conducted with senior prospective teachers studying in a department of secondary mathematics education. The data of the study used both quantitative and…

The No Child Left Behind Act of 2001 has put many schools under a lot of pressure to meet its high demands. In this quantitative study, the effects that the NCLB act has had on students' opportunity to learn (OTL) and Subject Level Success (SS) from 2004 to 2012 in 9th, 10th, and 11th grade math coursework (Algebra 1, Geometry, Algebra 2, and…

The study examined the impact of "POWERSOURCE"[C], an intervention consisting of formative assessments, instructional resources, and professional development designed to help teachers provide individual instruction to their students in Algebra I. This study took place in seven districts in Arizona and California during the 2007-08 school…

A national initiative encourages STEM careers to prepare students to succeed in an increasingly competitive economy (National Research Council, 2011). The STEM pipeline is dependent on students' mathematics course-taking trajectories, which are determined once a student enrolls in his/her first Algebra course. Despite efforts to increase access to…

Although research on the effectiveness of differentiated and enriched instruction in improving the achievement of diverse students is still emerging, some studies suggest that students in academically diverse classrooms benefited academically from differentiated learning experiences. The primary research question explored in this study was…

We share results from a quasi-experimental study in which we compared achievement between traditional lecture-based and computer-based sections of college algebra on a common multiple choice exam as well as performance on problem solving items. Students in the computer-based group performed better on the final exam and were also more likely to…

The purpose of this quantitative study was to determine if a relationship existed between success in elementary algebra and a set of predictor variables including COMPASS score and high school GPA. Relationships for intermediate algebra and college credit accumulation over three semesters were also examined with COMPASS score and high school GPA…

Scope and method of study: The purpose of this study was to unpack the understandings pre-service elementary teachers have pertaining to the ideas of pattern and function. The intent was to bring insight into how mathematics teacher educators can use patterning activities to prepare pre-service elementary teachers to support the development of…