**Invited Talks: **

**International**

2016 Invited Lecture at ICME 13, the
four-yearly worldwide International Congress of Mathematics Education
conference.

2016
Invited lecture for the 2016 ICME-13 Topic Study Group 16–Teaching and learning of calculus

2014
Invited talk at Research Forum at the 38^{th} conference of
the International Group for the Psychology of Mathematics Education held in
Vancouver, Canada, July.

2013 Talk
on Designing Tasks for use with Digital Technology, ICMI study 22 on Task
design at Oxford University

2012 Talk on How representation and communication
infrastructures enhance mathematics teacher training, International
Congress of Mathematical Education (ICME)-12, Seoul, Korea, July.

2012 Talk on Student reactions to an approach to linear
algebra emphasizing embodiment and language,* *International
Congress of Mathematical Education (ICME)-12, Seoul, Korea, July.

2012 Talk on Key Mathematical Concepts in the Transition
from Secondary to University, International Congress of Mathematical
Education (ICME)-12, Seoul, Korea, July.

2012 Talk at the International Colloquium, The Didactics of
Mathematics: Approaches and Issues, Paris on Building pedagogical
technology knowledge, June.

2012 Poster at the International Colloquium, The Didactics of Mathematics: Approaches and
Issues on Building pedagogical technology knowledge, Paris.

2012 Seminar at University of East Anglia,
UK on Analysing mathematics lecturer practice: A possible route to professional development, May.

2012 Seminar at Southampton University, UK
on Analysing
mathematics lecturer practice: A possible route to professional development,
April.

2012
Invited funded seminar at National Institute of Education (NIE), Nanyang Technological
University, Singapore on The role of
representations in versatile learning of mathematics, February.

2012
Invited funded seminar at National Institute of Education (NIE), Nanyang
Technological University, Singapore on Analysing
mathematics lecturer practice: A possible route to professional development,
February.

2012
Invited funded speaker at the USACAS^{ }/T^{3} conference CAS
as a Learning Tool on Teachers deepening mathematical learning with CAS: Issues
and Ideas, Chicago, USA, March.

2012 Invited
funded speaker at the USACAS^{ }/T^{3} conference CAS as a
Learning Tool on International Perspectives on Using CAS Technology, Chicago,
USA, March.

2010 Invited
funded talk on Technology in Mathematics Learning to the Mathematics
Department, Technical University of Darmstadt, Germany.

2010 Invited
funded talk on Technology in Mathematics Learning at Wuerzburg University,
Germany.

2009 Invited
partly-funded talk on
brain imaging and Representations of Mathematical Functions in Graphical and Algebraic
Formats at EARLI
Advanced Study Colloquium: ÒCognitive Neuroscience meets mathematics
educationÓ, Bruges, Belgium, 2009.

2009 Invited fully funded keynote speaker at the first Conference of
Embedding Technology in Mathematics Education, Taichung National University,
Taiwan.

2008 Invited seminar at Tel Aviv
University, Israel entitled Constructing
Versatile Mathematical Conceptions with Technology.

2008 Invited seminar at Cambridge University, UK entitled
Teaching Mathematics with Technology.

2008 Invited workshop at Leicester University, UK entitled
Teaching Mathematics with a Graphics Calculator.

2008 Invited seminar at Leicester University, UK entitled
Teaching Mathematics with Technology.

2008 Invited seminar at Leeds University, UK entitled
Teaching Mathematics with Technology.

2008 Invited funded seminar at Turin
University, Italy entitled Teaching with Technology

2008 Invited funded seminar at Melbourne University, entitled Constructing
Versatile Mathematical Conceptions with Technology.

2008 Invited talk on Constructing Versatile Mathematical Conceptions
at the MERGA international symposium on The Construction of Knowledge:
Theoretical Approaches, July.

2008 Invited plenary talk on Constructing Versatile Mathematical
Conceptions with Technology at Logos16, an international symposium on Construction
of Knowledge, at The University of Auckland, May.

2006 Invited plenary on Developing Versatility
in Mathematical Thinking at *Retirement as
Process and Concept: A Festshcrift for Eddie Gray and David Tall, *Charles
University, Prague, Czech Republic.

2005 June Grenoble University, France,
invited, funded 2 hour seminar on The Role of
Representation in Versatile Mathematical Thinking.

2005 May Plymouth University, UK, invited
seminar on Conceptual Representations and Versatile
Mathematical Thinking.

2005 May Open University UK, invited seminar
on Interpreting Mathematical Symbols in Context.

2005 May Warwick University, UK, invited
seminar on Interpreting and Interacting with
Mathematical Symbols.

2005 April Swansea University, UK, invited
seminar on Conceptual Representations and Versatile
Mathematical Thinking.

2004 July ICME-10 a four-yearly worldwide
International Congress of Mathematics Education, Copenhagen. Invited to give a
regular lecture entitled Computer Algebra System Calculators: Representations,
Interactions and Partnerships. 4000 attend this conference, and only Òprominent
international researchersÓ are invited to lecture.

2004 Invited plenary panel
speaker, TSG 12 on Technology Use in Teaching and Learning Calculus,
International Congress of Mathematics Education, Copenhagen.

2003 September invited to address directors of Texas Instruments
from Singapore, Germany, US, China and Australia on ÔIssues Arising from
Research on Calculator Implementation.Õ

2003 Learning mathematics with technology:
Theoretical and empirical perspectives, UC Davis, USA seminar (given by video
conference link).

2001 Plenary presentation of the CAS
working group at the International Congress of Mathematical Instruction (ICMI)
conference on the Teaching and Learning of Algebra, Melbourne.
December.

2001 Invited plenary keynote at the conference on Computer
Algebra in School Mathematics, Melbourne, December.

2001 Invited seminar
Representational Versatility and the Learning of Mathematics, Institute of
Education, London University, UK, September.

2001 Invited seminar The Role of
Representational Versatility in Mathematical Thinking, Open University, UK,
September

2001 Invited seminar Representational
Versatility: The Role of Conceptual
Interactions in the Learning of Mathematics, Warwick University, UK, September

2001Invited
seminar Versatile
Interactions with Mathematical Representations, Southampton University, UK, September.

2001 Invited seminar
Representational Versatility and the Learning of Mathematics, Institute of
Education, Nottingham Trent University, UK, September.

1998 Invited
seminar Processes and Objects in Algebra and Calculus,
A seminar, Mathematics Education Research Centre, The University of Warwick,
UK, April 29th.

**National**

2016 Plenary talk at the Waikato Mathematics
Association (June)

2016 Plenary talk at the Wellington Mathematics
Association (March)

2015 Plenary talk at the NZAMT conference in
Auckland (July)

2015 Plenary talk at the Otago Mathematics
Association Conference at Otago University in Dunedin (November).

2013 Plenary
at AMA Mathematics day: The Transition from School to University: Implications
for School Mathematics Teaching, November 25^{th}

2013 VUW Mathematics Education Research
Symposium talk on Graphical
Construction of a Local Perspective on Functions, Sept 30^{th}

2013 Seminar The Transition from
Secondary School to University Study of Mathematics, Auckland University,
December.

2013 Seminar on Issues for Foundation Programmes Arising from the ICME Transition Study at The University of Auckland Symposium on Foundation Mathematics, February.

2012 talk at BOPMA day on Teaching with GeoGebra, November 22

2012 Talk at AMA Calculus day on Teaching with Polynomials, November 19

2011 Seminar University of Auckland on Transition from School to University Education in Mathematics: New Zealand and Australia Perspectives (with M. Goos and S. Klymchuk), funded by Ako Aotearoa. November 15^{th}.

2011 Seminar University of
Waikato on Transition from School to University Education in
Mathematics: New Zealand and
Australia Perspectives (with M. Goos and S. Klymchuk), funded by Ako Aotearoa.
November 16^{th}.

2011 Seminar University of
Canterbury on Transition from School to University Education in
Mathematics: New Zealand and
Australia Perspectives (with M. Goos), funded by Ako Aotearoa. November 21^{st}.

2011 Seminar University of Otago
on Transition from School to University Education in Mathematics: New Zealand and Australia Perspectives
(with M. Goos), funded by Ako Aotearoa. November 22^{nd}.

2011 Inaugural lecture, How hard can it be? Making maths
learning easier, University of Auckland, September 28.

2010 Talk on University Teaching: Perspectives and Interactions at
Ako Aotearoa Colloquium II, Wellington, July 15.

2010 University of Auckland, Mathematics Department seminar on
Conceptual Blending and Mathematical Thinking, August.

2009 Two funded, invited talks at the Wellington Mathematics
Association Heads of Mathematics Departments day, Porirua, Wellington,
November.

2009 Invited talk at the Auckland Mathematics Association
Mathematics Day, November, Auckland.

2009 University of Auckland, Mathematics Department seminar on The Role of Gestures in Mathematics Learning, June 12.

2009 Invited talk at the AMA Heads of Mathematics Departments day
entitled Versatile Mathematical
Thinking in the Secondary Classroom.

2009 Invited talk at the NZ National Numeracy conference entitled Versatile Mathematical
Thinking in the Secondary Classroom.

2008 University of Auckland, Mathematics Department seminar on Thinking Graphically about Antiderivatives, August 22,
(with C. Yoon and T. Dreyfus).

2007 Talk at the national NZAMT10 conference Auckland, Teacher Use
of Computers and Calculators in the Mathematics Classroom: Research Results,
September.

2007 University of Auckland,
Mathematics Department seminar on Teacher Use of
Computers in the Mathematics Classroom, August.

2006 Invited, expenses paid talk on Mathematical Thinking and the
Graphic Calculator, Mathematics Department, Otago University, November.

2006 University of Auckland, Mathematics Department seminar on Versatile
Mathematical Thinking: Perspectives on Symbols and Concepts, September.

2005 December Invited plenary speaker at the New
Zealand Mathematics Colloquium in Palmerston North. Talk on Research and the
Teaching and Learning of Algebra.

2004 August Mathematics learning and brain scans,
mathematics department seminar, The University of Auckland.

2004 June Ideas on the Teaching of Differential
Equations, Invited talk to AMA
Mathematics TeachersÕ day, Auckland.

2004 April Teaching Differential Equations, Invited
talk to AMA Head of Departments,
Auckland.

2003 Invited plenary technology panel member,
Delta03, the Third Southern Hemisphere Conference on Undergraduate Education,
Queenstown, NZ.

2003 Learning and Understanding Functions, Mathematics Department Seminar, The University of Auckland, May 23^{rd}.

2003 The Performance Based Research Fund, Talk to the Mathematics
Department, April.

2003 Mathematics Education Unit Research: Content, Methods and
Collaborative Opportunities, Applied Mathematics Department, Auckland
University of Technology, May 14^{th}.

2002 NCEA LEVEL 3 Trigonometry
problems, AMA Head of DepartmentsÕ workshop, Auckland.

2002 Learning mathematics with technology:
Theoretical and empirical perspectives, Paper presented at The University of Auckland, New
Zealand.

2001 Talk to the Mathematics Department on Teaching and
examining with CAS calculators as part of the department's Session on Teaching
seminar, 23^{rd} October.

2001 Mathematical Representations: Procedural and Conceptual
Interactions, Mathematics
Education Seminar, Mathematics Department, The University of Auckland, November
23^{rd}.

2001 Plenary speaker at Auckland Mathematics Association annual
Heads of Mathematics Departments Conference, on Technology Initiatives in
Secondary Mathematics Teaching, March.

2000 Logos 8, presented a response
to the paper equations and Introductory Algebra, The University of Auckland,
October.

2000 First Thoughts on Collaborative Research,
Conference on Collaboration in Mathematics Education Research, The University of
Auckland, April.

2000 Super-calculators and mathematics examinations,
Mathematics Education Seminar, Mathematics Department, The University of
Auckland, June 8^{th}.

1999 Representation and the Learning of Linear Algebraic
Equations, Mathematics Education Seminar, Mathematics Department, The
University of Auckland, October 21^{st}.

1999 Processes, objects and concepts in algebra and calculus,
invited seminar, Mathematics Department Otago University, September 8^{th}.

1999 The Conceptual Modelling of Functions by Experienced Teachers,
Mathematics Education Seminar, Mathematics Department, The University of
Auckland, June 4^{th}.

1998 Calculators and Assessment Issues, Talk given as part of the
School of Mathematical and Information Sciences Seminar on Undergraduate Assessment,
The University of Auckland, November.

1998 Bursary Mathematics on the TI–92, Workshop for teachers
on the use of the TI–92 in Bursary Calculus, November.

1997 Using the Computer in Mathematics Teaching, A seminar,
Mathematics Department, The University of Auckland, August.

1996 Mathematical Process and Concepts, A seminar,
Mathematics Department, The University of Auckland, March.

1995 Will Computers Influence the Teaching of Algebra in Schools? A seminar given as part of the Mathematics Education Seminar
Series, The University of Auckland, May.

1995 Processes and Concepts: Students' Difficulties with Algebra. An
invited seminar given to the Centre for Mathematics Education, The Mathematics
Department, The Open University, UK, May.

1994 Discovering the Mathematical Minds, A seminar given as part of
the Informal Talk Series to the Mathematics Department, The University of
Auckland, April.

1994 A Process-Oriented Preference in the Writing of Algebraic
Equations, A paper presented at the NZ mathematics Colloquium, Hamilton, May.

1993 Procedures and Concepts in Algebra, An invited seminar given at
the Science and Mathematics Education Research Centre, Waikato University,
Hamilton, September.