This paper presents Big Ideas of Measurement as a framework of students' thinking about measurement. Drawing from research-based evidence, the framework is a collection of key concepts that students must develop for a robust understanding of measurement and, as such, are key aspects of students' thinking teachers should learn to notice. In a case…

The Predict-Observe-Explain (POE) learning cycle improves understanding of the connection between empirical results and theoretical concepts when students engage in hands-on experimentation. This study explored whether training students to use a POE strategy when learning from social science texts that describe theories and experimental results…

This research aimed to develop coaching process based on transformative learning theory for changing the mindset about instruction of elementary school teachers. Tools used in this process include mindset tests and questionnaires designed to assess the instructional mindset of teachers and to allow the teachers to reflect on how they perceive…

In L2 reading, words and the concepts they denote frequently constitute an important vehicle or obstacle in the comprehension process. However, this has been rarely explored from a language awareness perspective. The current research therefore tailors the constructs of lexical awareness and conceptual awareness to L2 reading contexts by using a…

This ethnographic case study explores the nature of situated transformative pedagogy that empowers linguistically and culturally diverse adolescent English language learners. Grounded in theoretical perspectives of critical multicultural education and sociosemiotics, this study, through developmental, spiral analyses of data collected from…

This research investigates a collaboratively constructed observation tool as it is implemented by teacher educators into their direct work with pre-service teachers in the classroom. Constructed by the group with the explicit intention of connecting university coursework with field experience, research examines adaptations made by practitioners…

Although we now have a growing number of general suggestions for improving instruction in principal preparation programs as well as studies on particular instructional models, there is a dearth of studies that compare the broad range of traditional and innovative instructional strategies available to professors of educational leadership. Moreover,…

In this paper, an examination of students' relationships with mathematics is informed by affective research into internal mathematical structures and identity research into students' narratives. By analysing the perceptions of a class of 31 adolescents, five interacting elements emerged: students' views, feelings, mathematical knowledge,…

In this paper we argue that mathematics teaching can be conceptualised as a form of praxis. Viewing mathematics teaching as praxis foregrounds the moral nature of teaching and the educational practices that are developed in response to the educational needs in particular sites. The case for praxis in mathematics education is then made by drawing…

We report on our development of an educational social machine based on the concept that feedback in communities is an effective means to support the development of communities of learning and practice. Key challenges faced by this work are how best to support educational and social interactions, how to deliver personalised tuition, and how to…

This paper reports part of a study of secondary mathematics teachers in "Technology-Rich Teaching and Learning Environment" (TRTLE's). Three TRTLE's, two year 11 and one year nine class and their teachers were the focus of the study. Seven "Teaching Roles" were identified as teachers acted to allow students to perceive and…

In this paper, I examine the utility of a mathematics learning trajectory as a tool to support teachers' attention to students' mathematical thinking. I present findings from one second grade teacher's use of a learning trajectory as she planned a sequence of three mathematics lessons. Findings suggest learning trajectories support teachers in…

This paper analyses the role of "disruptive" innovative technologies in higher education. In this country and elsewhere, Higher Education Institutions (HEIs) have invested significant sums in learning technologies, with Virtual Learning Environments (VLEs) being more or less universal, but these technologies have not been universally…

This paper reports the impact of a collaborative professional experience model on pre-service secondary mathematics teachers' perspectives and practices within a learning community. Nine pre-service teachers made 12 school visits over one year to observe and co-teach problem-solving lessons in two Year 8 classes. They discussed the lesson with the…

The purpose of this study was to explore the ways instructors' subject matter beliefs regarding mathematics shape their courses in a community college environment. Data were collected and analysed from instructors' philosophical definitions of mathematics and observations of teaching episodes using a constructivist grounded theory research design.…