Dr Heather McMaster

A35 - Education Building
The University of Sydney

Teaching and supervision

2019 - Yvonne Chow - Developing children's understanding of measuring volume by displacement

2018 - Leane Senzamici -11 to 12 year old children's conceptions of mass & volume

2018 - Angeline Ho -11 to 12 year old children'sconceptions of the measurement of volume

2017 - Janet Nguyen - The ups and downs of pre-service teachers' mathematical identities

Current projects

Leadership in Mathematics Education

This study investigates the needs of primary schools for Mathematics leadership and the expectations and aspirations of primary teacher education undergraduate students following the path of specialisation in mathematics. Results from the study will be used to develop a model for Teacher Education Programs that, in response to a recent government initiative, are developing an optional specialisation pathway for students in primary teacher education.

Measuring Stuff

An understanding of the material world and how it measured is basic to scientific understandings and everyday life. The study examines the appropriateness of the mathematical language used in the 'Volume & Capacity’ topic in the NSW primary Mathematics syllabus, and the connections or absence of connections between this topic and the topic of ‘Mass’. Ultimately it could contribute to the development of a conceptual frame to inform the primary Mathematics syllabus and the primary Science and Technology syllabus, enabling primary school teachers to better integrate an understanding attributes of stuff (objects and materials) and the measurement of these attributes within the same problem-based learning tasks and projects.

Associations

The Mathematics Reseach Group of Australasia

The Australian Asociation of Mathematics Teachers

The Mathematics Association of NSW

Awards and honours

2012 - Faculty of Education and Social Work Excellence in Teaching Award. My students indicated that I helped them to overcome a fear of mathematics and that I cared about their needs.I was also recognised for my creativity in the design of rich learning tasks.

2016 - The Vice Chancellor’s Award for Outstanding Teaching.This award was given to the Primary Mathemtics team (Prof J. Bobis, Assoc. Prof. J. Way and mysel) for making a distinctive contribution to the teaching of mathematics in primary schools. We established a specialist mathematics pathway as an option within the B.Ed (Primary) program with an emphasis on developing students’ leadership qualities so graduates passionate about mathematics, are able to inspire other primary school teachers teaching the subject.

Selected publications

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Books

  • McMaster, H., Mitchelmore, M. (2008). Working mathematically: Activities that teach number. West Pymble, N.S.W.: Workingmaths.
  • McMaster, H., Mitchelmore, M. (2006). Working mathematically: Activities that teach patterns & algebra. West Pymble, N.S.W.: Workingmaths.
  • McMaster, H., Mitchelmore, M. (2005). Working mathematically: Activities that teach data. West Pymble, N.S.W.: Workingmaths.
  • McMaster, H., Mitchelmore, M. (2004). Working mathematically: Activities that teach measurement. West Pymble, N.S.W.: Workingmaths.
  • McMaster, H., Mitchelmore, M. (2003). Working mathematically: Activities that teach space & geometry. West Pymble, N.S.W.: Workingmaths.

Edited Books

  • Kalman, R., Restivo, N., McMaster, H., Phegan, J. (2015). Maths olympiad contest problems (Vol. 3). Wahroonga, N.S.W.: Australasian Problem Solving Mathematical Olympiads (APSMO) Inc.

Journals

  • Cavanagh, M., McMaster, H. (2017). A Specialist Professional Experience Learning Community for Primary Pre-service Teachers Focussed on Mathematical Problem Solving. Mathematics Teacher Education and Development, 19(1), 47-65. [More Information]
  • McMaster, H., McMartin, K. (2016). Opening the door on triangular numbers. Australian Primary Mathematics Classroom, 21(4), 27-34.
  • Cavanagh, M., McMaster, H. (2015). A professional experience learning community for secondary mathematics: Developing pre-service teachers' reflective practice. Mathematics Education Research Journal, 27(4), 471-490. [More Information]
  • Host, E., Baynham, E., McMaster, H. (2015). Using digital technology to see angles from different angles: Part 2: Openings and turns. Australian Primary Mathematics Classroom, 20(2), 3-9.
  • Lane, R., McMaster, H., Adnum, J., Cavanagh, M. (2014). Quality reflective practice in teacher education: A journey towards shared understanding. Reflective Practice, 15(4), 481-494. [More Information]
  • Host, E., Baynham, E., McMaster, H. (2014). Using digital technology to see angles from different angles: Part 1: Corners. Australian Primary Mathematics Classroom, 19(2), 18-22.
  • Mitchelmore, M., McMaster, H. (2010). Working mathematically in a rural context. Reflections, 35(1), 44-45.
  • Mitchelmore, M., McMaster, H. (2009). Working mathematically with numbers. Reflections, 34(1), 31-34.
  • Mitchelmore, M., McMaster, H. (2008). Working mathematically in patterns and algebra (Part 2). Reflections, 33(1), 41-42.
  • Mitchelmore, M., McMaster, H. (2007). Working mathematically in patterns and algebra. Reflections, 32(1), 26-28.
  • McMaster, H., Mitchelmore, M. (2006). Working mathematically with data. Reflections, 31(1), 42-45.
  • McMaster, H., Mitchelmore, M. (2005). Working mathematically in measurement. Reflections, 30(1), 20-23.
  • Mitchelmore, M., McMaster, H. (2004). Working mathematically in space and geometry. Reflections, 29(1), 24-27.
  • McMaster, H. (2003). Introducing mathematics topics through storytelling and problem solving. Reflections, 28(1), 41-44.

Conferences

  • McMaster, H., Way, J., Bobis, J., Beswick, K. (2018). Principals' perceptions and expectations of primary teachers with a specialisation in mathematics. 2018 Annual conference of the Mathematics Education Research Group of Australasia (MERGA 41), Adelaide: MERGA. [More Information]
  • McMaster, H., Cavanagh, M. (2016). A professional experience model for primary pre-service teachers specialising in mathematics. 39th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA 2016), Adelaide: MERGA.
  • Mitchelmore, M., McMaster, H. (2010). Working mathematically in a rural context. MAV 2010 : Proceedings of the 47th Annual Conference of the Mathematical Association of Victoria, Melbourne.
  • Mitchelmore, M., White, P., McMaster, H. (2007). Teaching ratio and rates for abstraction. 30th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA 2007), Hobart: MERGA. [More Information]
  • McMaster, H., Mitchelmore, M. (2005). The Rewards and Difficulties of Working Mathematically. 20th Biennial Conference of the Australian Association of Mathematics Teachers: Making Mathematics Vital (2005), Sydney, Australia: AAMT.

2018

  • McMaster, H., Way, J., Bobis, J., Beswick, K. (2018). Principals' perceptions and expectations of primary teachers with a specialisation in mathematics. 2018 Annual conference of the Mathematics Education Research Group of Australasia (MERGA 41), Adelaide: MERGA. [More Information]

2017

  • Cavanagh, M., McMaster, H. (2017). A Specialist Professional Experience Learning Community for Primary Pre-service Teachers Focussed on Mathematical Problem Solving. Mathematics Teacher Education and Development, 19(1), 47-65. [More Information]

2016

  • McMaster, H., Cavanagh, M. (2016). A professional experience model for primary pre-service teachers specialising in mathematics. 39th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA 2016), Adelaide: MERGA.
  • McMaster, H., McMartin, K. (2016). Opening the door on triangular numbers. Australian Primary Mathematics Classroom, 21(4), 27-34.

2015

  • Cavanagh, M., McMaster, H. (2015). A professional experience learning community for secondary mathematics: Developing pre-service teachers' reflective practice. Mathematics Education Research Journal, 27(4), 471-490. [More Information]
  • Kalman, R., Restivo, N., McMaster, H., Phegan, J. (2015). Maths olympiad contest problems (Vol. 3). Wahroonga, N.S.W.: Australasian Problem Solving Mathematical Olympiads (APSMO) Inc.
  • Host, E., Baynham, E., McMaster, H. (2015). Using digital technology to see angles from different angles: Part 2: Openings and turns. Australian Primary Mathematics Classroom, 20(2), 3-9.

2014

  • Lane, R., McMaster, H., Adnum, J., Cavanagh, M. (2014). Quality reflective practice in teacher education: A journey towards shared understanding. Reflective Practice, 15(4), 481-494. [More Information]
  • Host, E., Baynham, E., McMaster, H. (2014). Using digital technology to see angles from different angles: Part 1: Corners. Australian Primary Mathematics Classroom, 19(2), 18-22.

2010

  • Mitchelmore, M., McMaster, H. (2010). Working mathematically in a rural context. MAV 2010 : Proceedings of the 47th Annual Conference of the Mathematical Association of Victoria, Melbourne.
  • Mitchelmore, M., McMaster, H. (2010). Working mathematically in a rural context. Reflections, 35(1), 44-45.

2009

  • Mitchelmore, M., McMaster, H. (2009). Working mathematically with numbers. Reflections, 34(1), 31-34.

2008

  • Mitchelmore, M., McMaster, H. (2008). Working mathematically in patterns and algebra (Part 2). Reflections, 33(1), 41-42.
  • McMaster, H., Mitchelmore, M. (2008). Working mathematically: Activities that teach number. West Pymble, N.S.W.: Workingmaths.

2007

  • Mitchelmore, M., White, P., McMaster, H. (2007). Teaching ratio and rates for abstraction. 30th Annual Conference of the Mathematics Education Research Group of Australasia (MERGA 2007), Hobart: MERGA. [More Information]
  • Mitchelmore, M., McMaster, H. (2007). Working mathematically in patterns and algebra. Reflections, 32(1), 26-28.

2006

  • McMaster, H., Mitchelmore, M. (2006). Working mathematically with data. Reflections, 31(1), 42-45.
  • McMaster, H., Mitchelmore, M. (2006). Working mathematically: Activities that teach patterns & algebra. West Pymble, N.S.W.: Workingmaths.

2005

  • McMaster, H., Mitchelmore, M. (2005). The Rewards and Difficulties of Working Mathematically. 20th Biennial Conference of the Australian Association of Mathematics Teachers: Making Mathematics Vital (2005), Sydney, Australia: AAMT.
  • McMaster, H., Mitchelmore, M. (2005). Working mathematically in measurement. Reflections, 30(1), 20-23.
  • McMaster, H., Mitchelmore, M. (2005). Working mathematically: Activities that teach data. West Pymble, N.S.W.: Workingmaths.

2004

  • Mitchelmore, M., McMaster, H. (2004). Working mathematically in space and geometry. Reflections, 29(1), 24-27.
  • McMaster, H., Mitchelmore, M. (2004). Working mathematically: Activities that teach measurement. West Pymble, N.S.W.: Workingmaths.

2003

  • McMaster, H. (2003). Introducing mathematics topics through storytelling and problem solving. Reflections, 28(1), 41-44.
  • McMaster, H., Mitchelmore, M. (2003). Working mathematically: Activities that teach space & geometry. West Pymble, N.S.W.: Workingmaths.

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