Fostering teacher competencies in incorporating mathematical modelling in Singapore primary mathematics classrooms

Until recently, the limited use of modelling activities in Singapore mathematics classrooms despite the incorporation of mathematical modelling in the curriculum since 2003 could be due to a lack of concerted efforts in teacher preparation. Explicit guidelines have recently been developed by the Ministry of Education (CPDD, 2012) with a view to harness the potentials of modelling activities for fostering 21st Century Competences in students. This paper illustrates how a multi-tiered teaching experiment using design research methodology was conducted to build teachers' capacity in facilitating and designing modelling tasks using a case study involving an experienced teacher in a primary 5 (aged 10-11) mathematics classroom. Implications on the identification of teacher competencies to be focused upon during teacher development in incorporating mathematical modelling in Singapore classrooms will be drawn.

Interdisciplinary literacy through social media in the mathematics classroom: an action research study

This article looks at how social and participatory media can be used to strengthen interdisciplinary literacy and connects the multimodality of social environments with Middle-Years Mathematics curriculum and delivery. The article reports on part of an eighteen months action research study in an Australian public high school within the author's two Year 8 Mathematics classes. The article provides student samples from within these classes as it contributes evidence and analyses that may help to inform teachers from across subject areas to recognise and implement literacy practices, not as an isolated classroom activity, but across their disciplines. By taking a more ‘social’ approach to designing projects for Middle-Years Mathematics, this study supports concepts of literacy as a social, cognitive and cultural practice.

Mathematics: Launching Futures Proceedings of the 24th Biennial Conference of The Australian Association of Mathematics Teachers Inc.

‘Mathematics: Launching Futures’ was the theme for the 24th Biennial Conference of The Australian Association of Mathematics Teachers Inc.It was the first national conference on mathematics education since the introduction of the Australian Curriculum and so addresses the support educators will need to implement this curriculum. It also addressed concerns regarding  the low numbers of students studying higher level mathematics at school and university. A major aim of the conference was the sharing of knowledge to encourage  and support teachers at all
stages of their careers. This conference featured a joint day with the 36th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA), aiming to enhance collaboations between researchers and teachers.

Young children learning mathematics: a guide for educators and families

Can young children learn mathematics before school? What ideas and concepts are they capable of learning? How can adults develop a child's mathematical thinking from birth to five years? Early learning plays a critical role in laying a foundation for later success in schooling. This book explores the possibilities and potential for early childhood educators, parents and carers to stimulate young children's mathematical thinking. Drawing on the authors' significant research, it answers frequently asked questions about early childhood mathematics, discusses the experiences, activities and conversations that could lead to mathematics learning, and provides simple, easy-to-follow guidelines on introducing and building on the mathematical concepts underpinning play and activity in young children aged from birth to five.

STEM: country comparisons: international comparisons of science, technology, engineering and mathematics (STEM) education. Final report.

From 22 studies of Science, Technology, Engineering and Mathematics (STEM) policies and practices around the world the STEM: country comparisons report makes 24 key findings which highlight a number of challenges for Australia with STEM participation and provides a basis of ideas to tackle these.

Spoken mathematics as an instructional strategy: the public discourse of mathematics classrooms in different countries

This chapter examines the use of spoken mathematics in the public discourse of eighth-grade mathematics classrooms internationally. By “spoken mathematics” we mean the recognizably mathematical terms used in spoken interaction in the classroom. Our principal focus was the relatively sophisticated terms by which each lesson’s central concepts or procedures were named. In our analysis we addressed the question(s): “What is the occurrence of publicly spoken mathematics in the different classrooms studied and what efforts do the teachers appear to make to promote students’ use of technical mathematical terms in their public classroom talk?” A companion chapter examines the question of students’ private spoken mathematics in the classroom and the possible learning that might result.

A comparative study of content settings of mathematics curriculum standards from China, Australia, and Finland

The study investigated the mathematics curricula standards set by the governments in China, Australia(Victoria) and Finland in the aspects of the amount of content statements, the structure of content areas, level of details, level of requirement, the distribution of content, and the changes of content areas. The results show that China's mathematics standard has the biggest amount of and the most detailed content statements; that of Australia is in the second place; and Finnish standard has the least amount of content statements that are very general. The standards in all three countries emphasize numbers and operation and geometry.However,China's standards present a dynamic change, with different focus for different grades; Australian standards have similar proportion of each part of content for different grades and the amount of each part increases with grade; there is no fixed setting and proportion of content in Finnish standard, which is not confined by any mode.

Student speech as an instructional priority: mathematics classrooms in seven culturally-differentiated cities

Student spoken use of mathematical terminology in public and private classroom discourse distinguishes one mathematics classroom from another. While student-student spoken interactions were frequent in the classrooms studied in Berlin, Melbourne, and San Diego, and non-existent in Shanghai and Seoul, student use of mathematical terminology varied significantly. The variation between the practices of the mathematics classrooms studied in Seoul, Shanghai, Hong Kong and Tokyo problematizes any simplistic characterization of “the Asian classroom.” Our results demonstrate that student spoken facility with the technical language of mathematics requires deliberate scaffolding and, interestingly, this can be achieved through either public or private discourse.

Spoken mathematics as a distinguishing characteristics of mathematics classrooms in different countries

This paper reports research into the occurrence of spoken mathematics in some well-taught classrooms in Australia, China (both Shanghai and Hong Kong), Japan, Korea and the USA. The analysis distinguished one classroom from another on the basis of public “oral interactivity” (the number of utterances in whole class and teacher-student interactions in each lesson) and “mathematical orality” (the frequency of occurrence of key mathematical terms in each lesson). Our concern in this analysis was to document the opportunity provided to students for the oral articulation of the relatively sophisticated mathematical terms that formed the conceptual content of the lesson. Classrooms characterized by high public oral interactivity were not necessarily sites of high mathematical orality. The contribution of student-student conversations also varied significantly. Of particular interest are the different learning theories implicit in the role accorded to spoken mathematics in each classroom.