This theoretical paper suggests identity as a nexus of research on affect and discourse in mathematical learning. It broadens Sfard and Prusak's (2005) discursive definition of identity by building on an analytical framework that examines positioning of students at three levels: the objects described, the interactions achieved, and the alignment…

Eliciting and responding to student thinking are high-leverage practices that have powerful implications for student learning. However, they are difficult to enact effectively, particularly for novices, and more research is needed to understand how teacher education can support teachers in developing these skills. This study examined ways…

The advancement of computer and communication technologies has enabled researchers to conduct and analyze the learning process of posing problems. This study investigates what learners think while posing problems as sentence integration in terms of intermediate products as well as the posed problems as the resultant product. Problem posing as…

A commonly accepted claim in mathematics education is that there is a relationship between the cognitive demand of mathematical task enactments and students' subsequent learning. One study often cited to support this claim is Stein and Lane (1996), and in 44% of those citations, Stein and Lane (1996) is the sole reference provided. Citation…

Success in Algebra I often predicts whether or not a student will pursue higher levels of mathematics and science. However, many students enter algebra holding persistent misconceptions that are difficult to eliminate, thus, hindering their ability to succeed in algebra. One way to address these misconceptions is to implement worked-examples and…

Quantum mechanics has completed century since its genesis. Quantum mechanics is taught at various levels-starting from school and colleges to universities. Regression methods are introduced at under graduate and post graduate levels to solve Schrodinger equation for finding solutions of various trivial and non-trivial physical problems. The common…

The purpose of this study was to explore geometry spatial mathematical reasoning in Grade nine Annual National Assessments, South Africa. Conceptual Blending was the guiding theory. Document analysis within the exploratory case study was used to explore available data, the 2014 Annual National Assessment learners' scripts (n=1250). Results…

Modeling activities enriched with 3D printers are effective in providing teachers with the skills they should have and in using the technology in mathematics education. In this regard, in the present study, ten-week modeling activities were carried out with 3D printers that are widely used in different fields along with educational environments…

Co-operative group learning is known to be an effective instructional practice, especially for mathematics. While group work can be incorporated into the classroom in multiple ways, not every group is a co-operative learning community. In the current study, class observations and preservice teacher interviews were used to compare experiences…

The probability is exceptional in the teaching of mathematics because students often have difficulties to understand the basic terms and the problem solving strategies. Understanding lacks of the probability concept and various types of misconceptions arise from the misleading intuition and misinterpretations of experience with the stochastic…

This study aims to analyze the effectiveness of learning materials oriented on problem-based learning models, the improvement mathematical problem solving ability and students' metacognition ability. Learning materials that developed are lesson plan, student book, student worksheet, mathematical problem solving ability and students' metacognition…

Introducing new concepts to learners in an order of increasing complexity appears to be beneficial for learning, but typically introduction of concepts does not always adhere to this principle. We examined whether introducing new algebra concepts in a contrasted manner or in an order of increasing complexity instead of a different more typical…

In this article, the authors present the use of digital tape diagrams--implemented using GeoGebra (2001) dynamic mathematics software--as a support to static diagrams to pose and solve proportional reasoning tasks. They show how dynamic sketches can allow students to explore standard tasks in proportional reasoning in ways that emphasise…

Contribution: Knowledge of students' Habits of Mind in a signal processing course, and a method for education research. The method identifies factors that may influence students' performance, but are not evident when analyzing agglomerated data; it is an alternative to the traditional case study method as it derives the cases after applying a…

Mathematical reasoning requires perseverance to overcome the cognitive and affective difficulties encountered whilst pursuing a reasoned line of enquiry. The aims of the study were: to understand how children's perseverance in mathematical reasoning (PiMR) manifests in reasoning activities, and to examine how PiMR can be facilitated through a…