Three mathematics education researchers discuss their findings on the use of diagrams in math instruction for English language learners. The authors show how diagrams can help students who are English learners better develop mathematical thinking and communicate their mathematical understanding.

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

Mathematics can be viewed as complex structures comprising intricate and profoundly useful webs of relationships. Students can experience mathematics in this way when working on mathematical tasks such as problem-solving, modelling, investigations or problem posing. Yet these kinds of tasks are seldom implemented in many upper-secondary and…

Service modelling has become an increasingly important area in today's telecommunications and information systems practice. We have adapted a Network Design course in order to teach service modelling to a mixed class of both the telecommunication engineering and information systems backgrounds. An integrated approach engaging mathematics teaching…

The world needs great individual educational changemakers capable of identifying problems and creating bold, scalable solutions. But the world also needs Dream Teams--groups of talented administrators, teachers, staff, students, and community members who are passionate about making things better for kids, believe that school-based change is the…

As a contribution to honour the foresight of Ken Clements and John Foyster in founding MERGA [Mathematics Education Research Group of Australasia] so many years ago this paper is not a research paper in the usual sense. Rather it sets out to sample the context of Mathematics Education in Australasia and beyond (then and now) and to highlight some…

This article begins by considering the general nature of capability, from some dictionary meanings, then extends to theoretical perspectives related to the capability approach. As a consequence, we arrive at an operational definition that emphasises the ability to solve problems in a systematic way that brings transformation. In these terms,…

This research reports on the application of aspects of a model of evidence-based practice (EBP) which were used to review a behaviour management programme. Special education practitioners employed at the Aotearoa/New Zealand Ministry of Education (MOE) drew from MOE principles and practices, as well as their professional expertise as they reviewed…

Purpose: This paper aims to analyse how learning levels differ within and between degrees and diplomas with specific application to the Bachelor of Applied Business Studies degree and the New Zealand Diploma of Business, which are delivered at a New Zealand polytechnic. Design/methodology/approach: A literature review and content analysis of…

The role of Resource Teachers: Learning and Behaviour (RTLB), established under the policy initiatives outlined in Special Education 2000 [Ministry of Education 1996. "Special Education 2000." Wellington: Learning Media], is to assist schools and teachers in developing and maintaining inclusive classrooms and schools through a…

This paper explores student experiences of learning to think critically. Twenty-six zoology undergraduates took part in the study for three years of their degree at the University of Otago, New Zealand. Vygotsky's developmental model of the Zone of Proximal Development (ZPD) provided a framework as we examined how critical thinking was developed.…

Two complementary processes involved in mathematical modelling are mathematising a realistic situation and applying a mathematical technique to a given realistic situation. We present and analyse work from two undergraduate students and two secondary school teachers who engaged in both processes during a mathematical modelling task that required…

A model of school change has been designed and implemented in a systematic replication series. Key principles are: that teachers need to be able to act as adaptive experts; that local evidence about teaching and learning is necessary to inform instructional design; that school professional learning communities are vehicles for changing teaching…

Dynamic Ecological Analysis (DEA) is a model of practice which increases a teams' efficacy by enabling the development of more effective interventions through collaboration and collective reflection. This process has proved to be useful in: a) clarifying thinking and problem-solving, b) transferring knowledge and thinking to significant parties,…

Purpose: This paper attempts to reduce the gap between management education and practice. It emphasises day-to-day decisions that middle and lower level managers make. The purpose is to provide an education framework embodying a flexible approach to interpretation and solution creation, suitable for situations of ambiguity and uncertainty.…