The purpose of this meta-analysis was to examine the effects of writing intervention on students' mathematical attainment based on their achievement (mathematics standardized test scores) and their attitudes toward mathematics (mathematical motivation and interest). Twelve studies with 19 effect sizes were selected for inclusion in the present…

This article gives an example for using Dynamic Geometry Software to encourage making conjectures, reasoning, and experiencing mathematics as a process.

Through post-observation and general discussions our preservice teachers thought they were asking good questions by asking "why?". While these questions are important, "why?" questions are not always effective, especially when a student responds with "I don't know". Such questioning techniques must be explicitly…

It is important for students to connect with real life in mathematics courses. The aim of this study is to investigate the activities which are written by prospective primary school teachers in the context of Realistic Mathematics Education. This research is a case study of which data were collected by qualitative methods. The participants of the…

Contributing to a growing body of research on undergraduate students' quantitative reasoning, the study reported in this article used task-based interviews to investigate business calculus students' quantitative reasoning when solving two optimization tasks situated in the context of revenue and profit maximization. Analysis of verbal responses…

Mathematics has been taught throughout history without much more than a straightedge, a compass, and an abacus. So there is little question that all the major concepts of mathematics can be delivered without the aid of modern technology. But clearly, just the time-saving aspect of using technology can greatly enhance the art of teaching. In this…

In this study, role of context familiarity in students' differential equations (DEs) solving was explored at pre-university level. An assessment test containing three self-developed DEs tasks were distributed among 430 students, studying in intercolleges. Collected responses were analyzed using a scoring rubric containing three main stages…

This paper uses a post-qualitative philosophical perspective to find new ways of understanding teaching and learning. The paper presents a series of examples that were used in a longitudinal study, with the aim of creating variation patterns that would make it possible for students to discern the use of the four basic arithmetic operations in…

Issues of equity exist within classrooms just as they exist more broadly within society in general. This paper looks at issues of equity affecting access to learning for girls working on challenging mathematical tasks in collaborative groups with boys. It examines measures that teachers can take to mitigate inequity and foster a culture within…

This paper addresses the need for empirical research on the processes by which students create algorithms. I analyse the collaborative work of three high-school students on a contextualised graph theory task, in which they created an algorithm for maximising the happiness score of a seating arrangement. The group found an optimal arrangement but…

The main purpose of the current study is to investigate middle school students' math self-efficacy perceptions and math problem posing attitudes. The sample of the study is comprised of 990 fifth, sixth, seventh and eighth grade students attending middle school in the Fethiye district of the city of Mugla. As the data collection tool, the…

Mathematical paradoxes often produce awe and wonder in the mathematics classroom. In this classroom episode, I share a paradoxical task, based on Simpson's Paradox, and its power as an intervention for a child diagnosed with ADHD. The Paradox leveraged his strengths to help him build understandings in proportional reasoning.

This study examined the perceptions and experiences of a teacher and students in a Shanghai public primary school when digital games were used in a second-grade math class. The participants included one teacher and 45 students. Data collection methods included classroom observation, focus-group and individual interviews, and document analysis.…

This paper studies students engagement in e-learning environments in which students work independently and solve problems without external supervision. We propose a new method to infer engagement patterns of users in such self-directed environments. We view engagement as a continuous process in time, measured along chosen axes that are derived…

Creating an enjoyable atmosphere and fostering creativity are the two most required components in learning mathematics. Hence, creativity would enable students to formulate something new. In addition, creativity is one of the most important and highest competencies in Bloom's latest taxonomy. Furthermore, it is necessary to be possessed by…