Mathematical modeling, in which students use mathematics to explain or interpret physical, social, or scientific phenomena, is an essential component of the high school curriculum. The Common Core State Standards for Mathematics (CCSSM) classify modeling as a K-12 standard for mathematical practice and as a conceptual category for high school…

A typical mathematics assignment consists primarily of practice problems requiring the strategy introduced in the immediately preceding lesson (e.g., a dozen problems that are solved by using the Pythagorean theorem). This means that students know which strategy is needed to solve each problem before they read the problem. In an alternative…

"You are never too old, too young or too busy to learn". This means that you can be a lifelong learner, truly enjoying your learning experience. This has been quite an interesting change of perspective in learning, which is worth investigating. Both in environments primarily thought for education and during "ad hoc" experiences…

European and U.S. institutions have promoted the value of a learning abroad experience for many years. As Australian higher education institutions have adopted policies and strategies to increase participation in learning abroad, with employability as a central argument, it is important to study this claim. This article examines the links between…

To succeed within scientific disciplines, using representations, including those based on words, graphs, equations, and diagrams, is important. Research indicates that the use of discipline specific representations (sometimes referred to as expert generated representations), as well as multi-representational use, is critical for problem solving…

The paper reports an investigation into how a group of elementary and middle school teachers collectively attempted to solve and understand a fraction division problem using an area model. Solving the word problem required that teachers determine how many two-thirds fit into three-fourths. The teachers struggled to conceptualise fraction division,…

Being situated within a course at the applied end of the spectrum of maths degrees, the pure mathematics modules at Sheffield Hallam University have an applied spin. Pure topics are taught through consideration of practical examples such as knots, cryptography and automata. Rubik's cubes are used to teach group theory within a final year pure…

This study aimed to examine students' generic skills practices (communication, IT, numeracy, learning how to learn, problem solving, working with others, and subject-specific competencies) at National University of Indonesia (UI). Survey design with quantitative method was applied in this study. Questionnaires were distributed to 355 students at…

This research analyzed how fractions are taught in the fourth grade of elementary school in Flanders. Analysis centered on the presence of five features of instruction recommended by research on teaching and learning fractions (i.e., multiple solution pathways, linking representations, estimation and justification of the solution, collaboration,…

We consider two complementary aspects of mathematical skills, i.e. "procedural fluency" and "conceptual understanding," from a point of view that is related to modern e-learning environments and computer-based assessment. Pedagogical background of teaching mathematics is discussed, and it is proposed that the traditional book…

This research is an action research which aims to implement contextual teaching and learning (CTL) approach to learn mathematics, focus on the integration subjects. The approach utilizes the use of mathematics manipulative so that students can understand a mathematical concept to construct their own. The method which used in this research are…

The author notes: "A personal anecdote is an apt opening to this article. An assignment I once had called for assessing texts in a pre-med curriculum. In reviewing a calculus text, a subject in which I had no expertise then or now, I had trouble following an "explanation." I was able to identify where and why the text let me down.…

This study investigates whether information saved in the log files of a computer-based tutor can be used to predict the problem solving performance of students. The log files of a computer-based physics tutoring environment called Andes Physics Tutor was analyzed to build a logistic regression model that predicted success and failure of students'…

Constructive parent-child conflict interactions that teach children to problem-solve and negotiate can enhance children's social adjustment. This paper identifies constructive and destructive qualities of mother-child conflict and explores whether child temperament moderated associations with changes in externalizing problems over time. One…

The purposes of the current study are to develop virtually immersive EFL learning contexts for EFL learners in Taiwan to pre- and review English materials beyond the regular English class schedule. A 2-iteration action research lasting for one semester was conducted to evaluate the effects of virtual contexts on learners' EFL learning. 132…