This paper addresses a gap in the literature on primary student-teachers' use of graphics calculators. A group of 12 student-teachers, specialising in mathematics, engaged in a mathematical task as learners, and then adapted the task for primary pupils. Their lesson plan included graphics calculators, which the student-teachers taught to a class…

Instruction can be made relevant to students when it draws upon and utilizes their interests, experiences, and "funds of knowledge" in productive ways to support classroom learning. This approach has been referred to as "context personalization." In this paper, we discuss the cognitive basis of personalization interventions,…

Current mathematics education emphasizes techniques, formulas, and procedures, neglecting the importance of understanding, presentation, and reasoning. This turns students into passive listeners that are well-practiced only in using formulas that they do not understand. We therefore adopted the Polya problem-solving method to provide students with…

Launching a problem is critical in a problem-based lesson. We investigated teachers' perspectives on the use of a problem that was analogous to the one provided during a launch. Our goal was to identify teachers' underlying assumptions regarding what should constitute a launch as elements of the "practical rationality of mathematics…

Prompted by the poor state of mathematics education in South Africa and the shortage of competent mathematics teachers, this study sought to identify what factors influenced 40 Postgraduate Certificate in Education (PGCE) students at three universities in the Western Cape Province, with Mathematics as a major subject, to choose teaching as a…

Fraction and decimal arithmetic are crucial for later mathematics achievement and for ability to succeed in many professions. Unfortunately, these capabilities pose large difficulties for many children and adults, and students' proficiency in them has shown little sign of improvement over the past three decades. To summarize what is known about…

Purpose: A growing body of research has focused on the topic of inclusive education for ethnic minorities in Hong Kong. At the same time, few scholars have explored the role technology can play in enhancing inclusivity within the context of quality education. This study examines how the differentiated use of technology that takes into account…

This experimental study investigated the effects of the use of two versions of a pedagogical agent named personal instructing agent (PIA) on the mathematics performance of students. The first version exhibits synthetic facial expressions while the second version does not exhibit facial expression (i.e., neutral facial expression). Two groups of…

Indigenous people of Dayak tribe in Kalimantan, Indonesia have traditionally relied on a system of mutual cooperation called "handep." The cultural context has an influence on students mathematics learning. The "handep" system might be suitable for modern learning situations to develop mathematical problem-solving skill. The…

Course instructors need to assess the efficacy of their teaching methods, but experiments in education are seldom politically, administratively, or ethically feasible. Quasi-experimental tools, on the other hand, are often problematic, as they are typically too complicated to be of widespread use to educators and may suffer from selection bias…

The rationale behind this study concerns the issues school administrators and teachers/prospective teachers face over the progress of these students in mathematics classrooms in two different countries (Spain/Catalonia and Kosovo). This study aimed to present a method of examining primary school mathematics textbooks with the purpose of evaluating…

Teachers' content knowledge and beliefs about teaching and learning are among the key factors for effective teaching and, in turn, for student achievement-related outcomes. This study explores the extent to which K-8 math teachers'--who teach in high-poverty urban schools--professional background, motivational beliefs, and mathematical knowledge…

We analyze the results of a study conducted for the purpose of assessing the viability of an alternative starting point for teaching fractions. The alternative is based on Freudenthal's insights about fraction as comparison. It involves portraying the entities that unit fractions quantify as always being apart from the reference unit, instead of…

As teachers working with students in entry-level algebra classes, authors Amy Nebesniak and A. Aaron Burgoa realized that their instruction was a major factor in how their students viewed mathematics. They often presented students with abstract formulas that seemed to appear out of thin air. One instance occurred while they were teaching students…

This study has been aimed to propose a conceptual framework that helps researchers examine mathematics teachers' PCK in the context of supporting students' mathematical thinking. "Advancing Children's Thinking Framework" which is a pedagogical model developed by Fraivillig, Murphy and Fuson (1999) that supports the development of…