The aim of this research is measuring the technological pedagogical content knowledge of the candidate elementary mathematics teachers, identifying the thinking styles of the same candidates and finding out that whether there is a correlation or not. The research has the characteristics of a basic research to add new information to the scientific…

In this article, we present investigative tasks that concern loci, which integrate the use of dynamic geometry software (DGS) with mathematics for proving the obtained figures. Additional conditions were added to the loci: ellipse, parabola and circle, which result in the emergence of new loci, similar in form to the original loci. The…

This study is part of a larger study investigating the subject matter knowledge and pedagogical content knowledge of Hong Kong prospective mathematics teachers, the relationship between the knowledge of algebraic operation and its inverse, and their teaching competency. In this paper, we address the subject matter knowledge and pedagogical content…

This qualitative research, drawing on the theoretical frameworks by Even (1990, 1993) and Sfard (2007), investigated five high school mathematics teachers' geometric interpretations of complex number multiplication along with the roots of unity. The main finding was that mathematics teachers constructed the modulus, the argument, and the conjugate…

When electronic portfolios (e-portfolios) are employed as summative assessments for degree granting programs, it is imperative that students demonstrate their knowledge in the field to showcase learning growth and achievement of the program learning outcomes. This study examined the extent graduate students in the field of educational technology…

Despite the growing body of scholarship on the multicultural dispositions and learning needs of teacher education students, little scholarly attention has been paid to those of multicultural teacher educators: the people responsible for cultivating multiculturally minded teachers. In order to begin filling that gap, using a grounded theory…

This article addresses the problem of how opportunities to learn in teacher education programs influence future elementary mathematics teachers' knowledge. This study used data collected for the Teacher Education and Development Study in Mathematics (TEDS-M). TEDS-M measured the mathematics content knowledge (MCK) and the mathematics pedagogical…

Science teachers need to understand the subject matter they teach. While subject matter knowledge (SMK) can improve with classroom teaching experience, it is problematic that many secondary science teachers leave the profession before garnering extensive classroom experience. Furthermore, many new science teachers are assigned to teach science…

Technological pedagogical content knowledge (TPACK) has been well accepted as a framework to understand and describe types of knowledge required by teachers to teach specific content with technology effectively. However, limited studies have used the framework in analysing the complexity of technology integration in mathematics classrooms. This…

This research is exploring how emerging technologies are impacting teaching pedagogy and whether these technologies are nurturing higher order thinking in secondary schools in Australia. Technology in education has been identified as a 'wicked problem' (P. Mishra & Koehler, 2008) and a conundrum (Arntzen, 2008). It has been described as an…

The National Council on Teacher Quality's (NCTQ's) 2016 "Landscape in Teacher Preparation" has examined 875 traditional undergraduate programs that prepare elementary school teachers, finding widely variable levels of quality. Some programs prepare teachers whom parents would love to see in front of their child's classroom. Too many…

This is the first of three chapters that draws on empirical, qualitative research data generated from an eight-month long ethnographic investigation of four teachers in an Australian secondary school setting. In particular, this chapter uses the knowledge and context frameworks outlined in Chap. 1 to examine the interplay between policy,…

Through participatory action research with a university researcher, middle school science educators engaged in capacity building training to learn techniques for aesthetically teaching science through drawing as way of effecting meaning-making with and for their struggling readers. As a result, teachers deepened their pedagogical content knowledge…

The threshold concepts approach to student learning and curriculum design now informs an empirical research base comprising over 170 disciplinary and professional contexts. It draws extensively on the notion of troublesomeness in a "liminal" space of learning. The latter is a transformative state in the process of learning in which there…

What is needed to prepare teachers to effectively teach mathematics has been the subject of considerable debate for at least two decades, with the focus shifting back and forth between the number of mathematics courses that teachers need to the mathematics content that teachers need to know. Building upon previous work related to teacher…