Invited Talks:

International

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

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

2009 Invited talk on brain imaging and Representations of Mathematical Functions in Graphical and Algebraic Formats at EARLI Advanced Study Colloquium: “Cognitive Neuroscience meets mathematics education”, Bruges, Belgium, 2009.

2009 Invited 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 seminar at Turin University, Italy entitled Teaching with Technology

2008 Invited 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, 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 “prominent international researchers” 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 ‘Issues Arising from Research on Calculator Implementation.’

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

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 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 Teachers’ 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 Departments’ 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.