Mathematics teaching is an interaction between the teacher and the learners that leads to acquisition of desirable mathematical knowledge, ideas and skills necessary for applicability in our everyday life. This paper therefore looks at the concept of self-reliance, the concept of mathematics teaching, problems and prospects of mathematics teaching…

In seeking to align the everyday decision-making and lesson delivery of secondary teachers to current research in mathematics education, this piece provides an application of theory into classroom practice. By focusing on a sample of 13 quantitative and qualitative research studies of pedagogical best practice published since 2000, a set of…

Metaphors play a powerful role in arguments about education. It is common to say schools are broken, and that the school system is failing. Here I take the metaphor seriously and briefly review an historical episode where airplanes failed seemingly for no reason at the dawn of the jet age. The responses to these failures at first with public…

Introduction: The achievement goals framework has been researched and used to explain and account for individuals' learning and academic achievements. Over the past three decades, progress has been made in the conceptualizations and research development of different possible theoretical models of achievement goals. Notably, in this study, we…

The design and arrangement of appropriate automatic feedback in digital learning environment is a widely recognized issue. In this article, we investigate the effect of feedback on the design and the results of a digital intervention for algebra. Three feedback principles guided the intervention: timing and fading, crises, and feedback variation.…

Students are often encouraged to work on problems "like mathematicians"--to be persistent, to investigate different approaches, and to evaluate solutions. This behavior, regarded as problem solving, is an essential component of mathematical practice. Some crucial aspects of problem solving include defining and interpreting problems, working with…

The paper describes a study that examined the impact of two teaching approaches "focus on correctness" and "discuss errors" on secondary students' solutions to algebraic inequalities. Two groups of 10th graders were taught by two experienced teachers, Corry and Era, who followed their different didactical beliefs about the use of errors in…

In this study we aimed to understand who was struggling in freshman calculus courses, and why. Concentrating on the Fall sections of the class, the best predictors for success (R[superscript 2] = 0.4) were placement test results, the student's own appraisal of the quality of mathematics teaching they received in high school, and the Motivated…

This paper reports on a qualitative investigation into the use of Show and Tell tablet technology in mathematics classrooms. A Show and Tell application (app) allows the user to capture voice and writing or text in real time. Described here are the perceptions of 11 teachers during and after their exploration into the use of Show and Tell in their…

Studies that explore pedagogical content knowledge (PCK) in the field of mathematics education date back to the turn of the century in Turkey. In recent years, studies on PCK have gained momentum. Master's theses and doctoral dissertations have been written on PCK. In this context, there is a need to analyze the studies on PCK in Turkey to…

Research documenting teachers' fragile understanding of proof and how it is advanced suggests that enhancing the role of proof in school mathematics will demand substantial teacher learning. To date, there is little research detailing what mathematical knowledge might support the teaching of proof or how professional development (PD) might afford…

Literature suggests using multimedia learning principles in the design of instructional material. However, these principles may not be sufficient for the design of learning objects for concept learning in mathematics. This paper reports on an experimental study that investigated the effects of an instructional approach, which includes two teaching…

This paper reports on a component of a study which aims to determine how ICT, and in particular some of the technology funded as part of Australian government's DER (Digital Education Revolution) program, is used by teachers in the state of New South Wales. The study looks in particular at whether technology is used to incorporate real-world…

In a northeastern state eighth grade math students are struggling with meeting adequate yearly progress in math. The state's math proficiency in the school year 2013-2014 for eighth grade students showed that only 56% scored at grade level or above. The local problem addressed in this study is that 44% of a northeastern state's eighth graders are…

Seven Finnish mentor mathematics teachers were interviewed about their views regarding the teacher knowledge required for teaching mathematics. The results of the interviews revealed not only the teachers' spontaneous views of the knowledge base needed for effective mathematics teaching but also their views of the particular types of teacher…