This study investigates three teachers' uses of a dynamic geometry program (The Geometer's Sketchpad) in their high school geometry classes over a 2-year period. The researchers examine teachers' actions and questions during pivotal teaching moments to characterize mathematics instruction that utilizes technology. Findings support an association…

The concept of "proof" has attracted considerable research attention over the past decades in part due to its indisputable importance to the discipline of mathematics and to students' learning of mathematics. Yet, the teaching and learning of proof is an instructionally arduous territory, with proof being recognized as a hard-to-teach…

Middle school students need opportunities to craft informal mathematical arguments beyond justification of steps in an algorithm. Pentominoes provide an excellent vehicle for such activity. In this article, the authors describe an exploration with pentominoes that engaged a group of ninth-grade students in proportional reasoning, dilation, and…

In the field of educational effectiveness research, school effects are generally studied in the short term (i.e. during the same phase of schooling). The aim of this study is to investigate long-term primary school effects on students' achievement in mathematics at the end of secondary education. We also investigate which primary school…

The purpose of this quantitative causal-comparative research was to examine if and to what extent there were differences in students' cognitive load and the subsequent academic performance based on block bell schedule and traditional bell schedule for freshmen in Algebra 1 in the Southwestern United States. This study included students from two…

In the United States students have traditionally struggled with mathematics. Many students leave the educational system with limited mathematical literacy that can adversely affect their success as a college student, a consumer and citizen. In turn, lack of mathematical literacy affects their socioeconomic status. Through improving their…

This study uses high school transcript data from the National Assessment of Educational Progress (NAEP) High School Transcript Study (HSTS) to determine the validity of student-reported high school courses on the NAEP twelfth-grade student questionnaire. Given that the HSTS is not administered as part of every NAEP twelfth-grade assessment,…

The adoption and use of various eLearning systems to enhance the quality of education in secondary schools in Tanzania is becoming common. However, there is little evidence to suggest that students actually use them. Existing studies tend to focus on investigating students' attitude towards using these systems through surveys. Nonetheless, data…

This article presents balanced views of Mathematical Literacy (ML) and Mathematics (M), from both an analytical perspective and the subjective perspectives of teachers and learners. From the analytical perspective, policy documents and the literature spanning the period from the inception of ML to date are reviewed. Glimpses into the subjective…

Many mathematics teachers struggle to effectively integrate information and communication technology (ICT) in their teaching and need continuous professional development programmes to improve their technological pedagogical content knowledge (TPACK). This article aims to identify mathematics teachers' levels of TPACK and barriers to integrating…

Item stem formats can alter the cognitive complexity as well as the type of abilities required for solving mathematics items. Consequently, it is possible that item stem formats can affect the dimensional structure of mathematics assessments. This empirical study investigated the relationship between item stem format and the dimensionality of…

This study aims to produce valid and practical PISA-like mathematics problems of uncertainty and data content by using soft tennis and volleyball contexts in Asian Games. It also aims to find out the potential effect of the problems on students' mathematical literacy. The method used in this study was design research with the type of development…

This study comprehensively investigated how different types of teacher feedback may influence students' self-regulated learning (SRL) in mathematics. A total of 584 Chinese secondary students participated in this study. Findings showed that teachers provided verification feedback and scaffolding feedback with a high frequency, and provided…

In this article, the author, a ninth grade teacher at a Title I high school, describes how she began her algebra classes with an open-ended research project, entitled Why Math? This project offered opportunities for students to reflect on why mathematics is important and to determine its relevance to them as individuals, that is, why…

Mathematical literacy problems used in PISA consists of real life context. In order to solve the problems of these contexts, there are various mathematical processes that students have to pass through. These problems are intended to measure the various competencies that are intended to be taught to students. It is also important that the teachers…