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Full-Text Articles in Education

Constructing Meanings Of Mathematical Registers Using Metaphorical Reasoning And Models, Mun Y. Lai Jan 2013

Constructing Meanings Of Mathematical Registers Using Metaphorical Reasoning And Models, Mun Y. Lai

Faculty of Education and Arts Publications

Current debates about successful mathematics pedagogy suggest that mathematical learning and problem solving can be enhanced by using metaphors as they provide students with a tool for thinking. But assisting pre-service teachers to understand the importance of careful and accurate explanations for mathematical concepts remains an issue. This paper investigates how a mathematics teacher made use of models and metaphors to construct mathematical meanings within a transformational shift between less- and more-mathematical language. The Peircian model of semiosis was employed to identify the conceptual relationships in the metaphors and to analyse possible discrepancies between the literal meaning of metaphors, the ...


Designing Mathematical Modelling Tasks In A Technology Rich Secondary School Context, Vincent Geiger, Trevor Redmond Jan 2013

Designing Mathematical Modelling Tasks In A Technology Rich Secondary School Context, Vincent Geiger, Trevor Redmond

Faculty of Education and Arts Publications

The potential of digital tools to enhance student learning is well researched, however, the potential of technology to promote students’ engagement with mathematical modelling tasks has received limited consideration. This paper draws on a research study that aimed to investigate the possibilities that exist for student learning when teachers from six secondary schools designed tasks that anticipated for the use of digital tools within mathematical modelling tasks. The paper describes and analyses the collaboration which took place in identifying principles of design for such tasks.


Exploring The Demands And Opportunities For Numeracy In The Australian Curriculum :English, Vincent Geiger, Merrilyn Goos, Shelley Dole, Helen Forgasz, Anne Bennison Jan 2013

Exploring The Demands And Opportunities For Numeracy In The Australian Curriculum :English, Vincent Geiger, Merrilyn Goos, Shelley Dole, Helen Forgasz, Anne Bennison

Faculty of Education and Arts Publications

Numeracy is a fundamental component of the Australian National Curriculum as a General Capability identified in each F-10 subject. In this paper we report on an aspect of a larger project aimed at investigating how effective cross-curricular numeracy practice can be implemented within the context of the Australian National Curriculum. Specifically, we draw on a numeracy audit of the English curriculum and on data via a semi-structured teacher interview to explore the numeracy demands and opportunities that exist in the teaching of English. Despite limited guidance for teachers in how to take advantage of numeracy skills within English, our investigation ...


Designing Rich Numeracy Tasks, Merrilyn Goos, Vincent Geiger, Shelley Dole Jan 2013

Designing Rich Numeracy Tasks, Merrilyn Goos, Vincent Geiger, Shelley Dole

Faculty of Education and Arts Publications

In Australia, numeracy is regarded as a general capability to be developed across the whole school curriculum, not just mathematics. This paper draws on a research study that aimed to help teachers in ten schools design numeracy tasks and implement investigative numeracy pedagogies across the middle school (Grades 6-9) curriculum. Teachers were introduced to a rich model of numeracy that gives attention to real-life contexts, application of mathematical knowledge, use of representational, physical, and digital tools, and positive dispositions towards mathematics. These elements are grounded in a critical orientation to the use of mathematics. The paper identifies ways in which ...


Scaffolding The Mathematics Learning Of Low-Attaining Students Through Whole Class Discussions, Sarah Ferguson Jan 2013

Scaffolding The Mathematics Learning Of Low-Attaining Students Through Whole Class Discussions, Sarah Ferguson

Faculty of Education and Arts Publications

No abstract provided.


Teaching Roles In Technology-Rich Teaching And Learning Environments (Trtle's), Jill Brown Jan 2013

Teaching Roles In Technology-Rich Teaching And Learning Environments (Trtle's), Jill Brown

Faculty of Education and Arts Publications

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 enact affordances of TRTLE's appropriate to the learning of functions. Each role is important in allowing future independent perception and enactment of affordances by students.


Children's Mathematical Knowledge Prior To Starting School, Ann Gervasoni, Bob Perry Jan 2013

Children's Mathematical Knowledge Prior To Starting School, Ann Gervasoni, Bob Perry

Faculty of Education and Arts Publications

The introduction of the Early Years Learning Framework and the Australian Curriculum - Mathematics in Australian preschools and primary schools has caused early childhood educators to reconsider what may be appropriate levels of mathematics knowledge to expect from children as they start school. This paper reports on initial data from an extensive evaluation of an early mathematics intervention and asks whether the expectations of young children recorded in the Australian Curriculum - Mathematics are realistic.


Teachers' Decisions About Mathematics Tasks When Planning, Peter Sullivan, David Clarke, Doug Clarke, Anne Roche Jan 2013

Teachers' Decisions About Mathematics Tasks When Planning, Peter Sullivan, David Clarke, Doug Clarke, Anne Roche

Faculty of Education and Arts Publications

At some stage when planning, teachers make decisions about the mathematics tasks they will pose and how they will structure lessons. It seems, though, that these decisions are complex, and that this complexity has been underestimated by curriculum developers and teacher educators. The following is a report of data collection that simulated some of these planning decisions. The results suggest that teachers may need support in matching tasks to curriculum content statements, in articulating the purposes of tasks, and in considering how tasks might be used to address differences in student readiness.


Pre-Service Teachers' Concept Image For Circle And Ellipse, Vince Wright Jan 2013

Pre-Service Teachers' Concept Image For Circle And Ellipse, Vince Wright

Faculty of Education and Arts Publications

Concept image is proposed by Vinner and Tall (1981) to differentiate the elements and relationships that a learner constructs about a concept from formal mathematical definition for the same concept. The answers of 119 University students to an examination question are analysed to establish the concept images they have for circle and ellipse. The results show the difficulty the students have in reasoning with properties at the higher levels of Van Hiele’s (2004) model of geometric thought.


Teachers' Perspectives Regarding The Decline In Boys' Participation In Post-Compulsory Rigorous Mathematics Subjects, Michael Easey Jan 2013

Teachers' Perspectives Regarding The Decline In Boys' Participation In Post-Compulsory Rigorous Mathematics Subjects, Michael Easey

Faculty of Education and Arts Publications

This paper explores the decline in boys’ participation in post-compulsory rigorous mathematics using the perspectives of eight experienced teachers at an independent, boys’ College located in Brisbane, Queensland. This study coincides with concerns regarding the decline in suitably qualified tertiary graduates with requisite mathematical skills and abilities to meet increasing employment demands and opportunities in science, technology, engineering, and mathematics (STEM) careers. Individual interviews and a focus-group interview with teachers in various curriculum leadership, careers/counselling, and mathematics teaching roles revealed…