Application for the position in Mathematics Education

Caroline BARDINI
Born: Oct. 7th 1975
Nationality: Belgian
Married
Phone office : +61 (0)3 9035 3679
Phone home : +61 (0)3 9885 2605
Email : [email protected]
Current position:
Senior lecturer at the Melbourne Graduate School of Education (University of Melbourne) since July
2011.
Prior positions:
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“Maître de Conférences” at the Mathematics Department of Université Montpellier 2 (20062011). Member of ACSIOM team (I3M - UMR 5149). Teacher at the Faculty of Sciences of
Université Montpellier 2.
Outgoing International Fellow (6th Marie Curie framework) at the University of Melbourne,
Australia (2005-2006)
Post-doctorate at the Laurentian University (granted by the Social Sciences and Humanities
Research Council of Canada), Canada (2004-2005)
EDUCATION AND QUALIFICATIONS
1995 - 1998
Undergraduate studies in Mathematics at the Department of Mathematics
and Statistics, Universidade de São Paulo (IME/USP). São Paulo, Brazil.
First class Honours.
1999 - 2000
Masters in Mathematics Education, Université Paris 7. Paris, France.
Supervisor : Prof. Michèle ARTIGUE.
Grant obtained from Université Paris 7.
2000 - 2003
Ph.D in Mathematics Education, Université Paris 7 . Paris, France.
Title: « Le rapport au symbolisme algébrique : une approche didactique et
épistémologique » (« Establishing bonds between epistemology and
mathematics education - towards a better understanding of one’s
relationship to algebraic symbolism »).
Defended on Dec 10th 2003 with the marking : ‘Très Honorable’ and with the
‘Compliments of the Jury’.
Supervisors : Prof. Michèle ARTIGUE and Prof. Michel SERFATI.
Grant obtained from the French Ministry of Research.
2004 - 2004
Post-doctorate at the Department of Science and Mathematics Education,
Melbourne University. Melbourne, Australia.
2004 - 2005
Post-doctorate at the School of Science Education, Laurentian University.
Sudbury, Canada.
AWARDS
2005
Recipient of the OIF European award (Outgoing International Fellowship)
within the 6th Marie Curie framework.
2009
Recipient of the PES (Prize for Scientific Excellency). This financial award,
based on the scientific excellence of the candidate (scientific, involvement in
the community...), is allocated upon the advice of a National committee.
2010
Recipient of one sabbatical semester for research purposes. Given to
applicants who have a noticeable research program; over a period of 6
years, one semester at most can be obtained
PUBLICATIONS
Key words: Mathematics Education, epistemology of mathematics, algebraic reasoning, use of ICT in
mathematics classroom.
[2012] BARDINI, C. Décoder, accompagner et favoriser la construction de concepts algébriques et de leurs
représentations. In Coulange, L., Drouhard, J.-P., Dorier, J.-L., Robert, A. (Eds.) Recherches en Didactique des
Mathématiques, Numéro spécial hors-série, Enseignement de l'algèbre élémentaire: bilan et perspectives.
Grenoble: La Pensée Sauvage. p.327-346
[2010] BARDINI, C.; STACEY K., PIERCE, R. Linear functions: teaching strategies and students’ conceptions
associated with y=mx+c. Special edition of Teaching of Algebra for Pedagogies: An International Journal.
Francis & Taylor Group.
[2009] BARDINI, C. Algebraic symbolism conveyed by ICT. Taking an epistemological lens to better
th
apprehend students' use and understanding of algebraic symbolism. In: 9 International Conference on
Technology in Mathematics Teaching (ICTMT 9), Metz 2009.
[2009] BARDINI, C. Comprendre la notion d'égalité. Tangente 130, p.54-55. Ed. Pole.
[2009] BARDINI, C; ARTIGUE, M. New didactical phenomena prompted by TI-NSpire specificities – the
th
mathematical component of the instrumentation process. In: Proceedings of the 6 Conference of the
European Society for Research in Mathematics Education, Lyon : ED.
[2008] ALDON, G.; ARTIGUE, M.; BARDINI, C; TROUCHE L (dir). Nouvel environnement technologique,
nouvelles ressources, nouveaux modes de travail : le projet e-CoLab (expérimentation Collaborative de
Laboratoires mathématiques). Repères-IREM 72, p. 51-78.
[2007] RADFORD, L.; BARDINI, C. & SABENA, C. Perceiving the General. The Multi-Semiotic Dimension of
Students' Algebraic Activity. Journal for Research in Mathematics Education, 28(5), p. 507-530.
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[2006] BARDINI, C. The historical and epistemological pillars of the « indeterminate ». In: Oberwolfach
Reports 22.
[2006] BARDINI, C., STACEY K. Students’ conception of m and c : how to tune a linear function. In Novotná J.
et al. (Eds.). Proceedings of the 30th Conference of Psychology of Mathematics Education (PME), Vol. 2,
pp.113-121. Prague : PME.
[2005] BARDINI, C. ; RADFORD, L. ; SABENA, C. Struggling with variables, parameters and indeterminate
objects or how to go insane in Mathematics. In: 29th Conference of the International Group for the
Psychology of Mathematics Education, Melbourne. Proceedings of the 29th Conference of the
International Group for the Psychology of Mathematics Education. Melbourne : University of Melbourne. v.
2. p. 129-136.
[2005] BARDINI, C. ; SABENA, C. ; RADFORD, L. Synchronizing gestures, words and actions in pattern
generalization. In: 29th Conference of the International Group for the Psychology of Mathematics
Education, Melbourne. Proceedings of the 29th Conference of the International Group for the Psychology
of Mathematics Education. Melbourne : University of Melbourne. v. 4. p. 129-136.
[2005] BARDINI, C.; RADFORD, L. ; SABENA, C. ; SIMBAGOYE, A.; DIALLO, P. On embodiment, artefacts and
signs: a semiotic-cultural perspective on mathematical thinking. In: 29th Conference of the International
Group for the Psychology of Mathematics Education, Melbourne. Proceedings of the 29th Conference of
the International Group for the Psychology of Mathematics Education. Melbourne : University of
Melbourne. v. 4. p. 113-120.
[2005] BARDINI, C. ; SABENA, C. Se donner à corps joie aux mathématiques. In: 12 ème journée des
sciences et Savoirs, Sudbury. Actes de la 12eme journée des sciences et Savoirs. p.83-94.
[2004] RADFORD, L., BARDINI C. and SABENA, C. Perceptual semiosis and the microgenesis of algebraic
generalizations. In: Proceedings of the fourth Conference of the European Society for Research in
Mathematics Education. Sant Feliu de Guíxols, Spain.
[2004] BARDINI, C. ; PIERCE, R. and STACEY, K. Teaching Linear Functions in Context with Graphic
Calculators: what impact on students' use and understanding of symbolic algebra?. International Journal of
Science and Mathematics Education, Taiwan, v. 2, p. 353-376.
[2004] BARDINI, C. Le rapport au symbolisme algébrique : une approche didactique et épistémologique. In:
Castela C. et Houdement C. (Eds.) Actes du séminaire national de didactique des mathématiques, p. 141 166. Ed. ARDM et IREM de Paris7
[2003] BARDINI, C. Diophante, Descartes, Leibniz. Une analyse épistémologique de la représentation
symbolique et de son déchiffrement. Quels apports pour la didactique ? In Balises pour la didactique des
mathématiques. Edition intégrale des cours, travaux dirigés et ateliers de la 12ème Ecole d’Ete en
Didactique des Mathématiques, Ed. Pensée Sauvage.
[2003] BARDINI, C. The construction of meaning of algebraic symbolism at different school levels. An
epistemological and didactical approach. In Proceedings of 3rd Conference of the European Society for
Research in Mathematics Education. Bellaria, Italy.
[2001] BARDINI, C. Le rapport des élèves à la factorisation en fin de Troisième. Cahier Didirem n°35,
Université Paris 7, 88 pages.
Translation of two papers published in a special edition of Sciences et Techniques Educatives journal, about the
use of computer environnement for the learning of algebra.
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- Translated from English by Bardini, C. and Delozanne, E.: “L’algebrista : un micromonde pour l’enseignement
et l’apprentissage de l’algèbre” – M. Cerulli et M. A. Mariotti, published in Sciences et Techniques Educatives
vol. 9, 2002, pages 149 to 170.
- Translated from English by Bardini, C. and Grugeon B.: “La pensée algébrique dans une perspective
sémiotique” – F. Arzarello, L. Bazzini, G. Chiappini, published in Sciences et Techniques Educatives vol. 9, 2002,
pages 219 to 239.
INVOLVMENT IN SCIENTIFIC PROJECTS (2005-2010)
- Member of the MEG (Mathematics Expert Group) of PISA 2012.
- Co-leader of the European project EdUmatics (European Development for the Use of Mathematics
Technology in Classrooms) that aims the conception of an european on-line course for pre and inservice teachers. 2009-2012. 20 partners, 450 000 euros.
- Leader of the European project Using new technologies to improve the quality of algebra education
at different school levels (2005-2006). Partners: Université Paris7, University of Melbourne,
Universidade de São Paulo (USP) et Pontifícia Universidade Católica de São Paulo (PUC-SP). Marie
Curie Outgoing International Fellowship award.
- Member of the European project Inter2geo (since 2007) that aims merging several geometrical
dynamic open softwares into a single on-line platform designed for in and pre-service teachers.
- Member of the European project MathBridge (since 2009) that aims on reducing the gaps between
high-school and university in order to ease the transition of mathematics students in their 1st years of
scientific undergraduate courses.
- Responsible for the French component of the Lexicon project (Leader: D. Clarke, University of
Melbourne) since 2008.
- Co-leader of the French project e-CoLab (Colaborative experimentation of mathematics laboratories)
since 2006. Partners: INRP, IREM of Lyon, Montpellier and Paris 7, Texas Instruments.
- Member of the project RITEMATHS (REAL WORLD PROBLEMS and INFORMATION TECHNOLOGY
ENHANCING MATHEMATICS) at University of Melbourne, Australia, April 2004 – July 2004.
- Member of the project Sémiotique Culturelle et raisonnement mathématique [Cultural semiotics
and mathematics reasoning] at Laurentian University, Canada, September 2004 – May 2005.
- Member of the project Lingot (granted by the French Ministry of Research) in Cognitive Sciences at
Université Paris 7, France, October 2002 – April 2004.
- Member of the project Ressources en ligne pour l’apprentissage des mathématiques en seconde
[On-line educational ressources] (granted by the Conseil Régional d’Ile de France) at Université Paris
7, France, November 2003 – April 2004 and July 2004 – August 2004.
- Member of the project-team AIDA - Approche Interdisciplinaire pour les Dispositifs informatisés
d’Apprentissage [Interdisciplinary approach about the computer environnements for teaching]
(RTP39 - CNRS) since October 2002 and taking part of the european network Kaleidoscope since
January 2004.
SCIENTIFIC RESPONSABILITIES (2006-2010)
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- Member of the Scientific committee of the international conference I2Geo 2010 (Czech Republic, 2010)
- Co-chair, member of the scientific committee and president of the organization committee of the
international conference ICTMT9(Metz, 2009)
- Member of the Scientific and Organization Committee of ICTMT9 (Metz -France, 2009)
- Member of the Scientific and Organization Committee of the international conference Sharing Inspiration
(Berlin -Germany, 2008)
- Co-chair of the discussion group DG5 The Role of Philosophy in Mathematics Education at ICME11
(Mexico, 2008)
- Co-chair of the working group WG9 Tools and technologies in mathematical didactics at CERME5
(Larnaca, 2007)
- Co-leader of the group of in-service math teachers and researchers Mathématiques et Philosophie
[Mathematics and Philosophy] at the IREM (Institute for Research on Mathematics Education) of
Montpellier (since 2006)
- Leader of the group of in-service math teachers Intégration d’Outils Informatiques [integrating
technologies in mathematics classroom] at the IREM of Montpellier (since 2006)
- Member of the group Inter2geo at the IREM de Montpellier (since 2006)
- Member of the Inter-IREM Commission of Epistemology (since 2007)
- Co-leader of the Scientific and Organisation Committee for the joint conferences cycle of the IUFM
(Institute for training teachers) and the IREM of Montpellier (since 2007)
COMMUNICATIONS
July 2012
Regular Lecture at ICME12 (Seoul, Korea).
November 2011
MGSE Seminar (Melbourne, Australia).
Title: Focusing the didactical views on students' understanding of algebraic
symbolism with epistemology as a magnifier lens.
July 2011
AAMT23/MERGA34 (Alice Springs, Australia).
Title: Students’ use and understanding of letters versus algebraic symbolism
conveyed by ICT.
May 2011
ACSIOM Seminar (Montpellier, France).
Title: Epistémologie et didactique : deux milieux pour étudier le rapport au
symbolisme algébrique. Réflexion ou réfraction? [Epistemology and mathematics
education : two media to support analysis on algebraic symbolism. Reflection or
refraction?]
October 2010
CREM Seminar (Nivelles, Belgium).
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Title: Epistémologie et didactique des mathématiques. Quels apports pour
l'enseignement des mathématiques? [Epistemology and mathematics education.
What added-value for the teaching of mathematics?]
October 2009
Plenary at the Journées de l’APMEP (Rouen, France).
Title : Le rapport des élèves au symbolisme algébrique : une approche
épistémologique et didactique. [Establishing bonds between epistemology and
mathematics education : towards a better understanding of one’s relationship to
algebraic symbolism]
July 2009
Plenary at ICTMT9 (International Conference on Technology in Mathematics
Teaching (Metz, France).
Title : Algebraic symbolism conveyed by ICT. Taking an epistemological lens to better
apprehend students' use and understanding of algebraic symbolism
January 2009
CERME 6 (Conference of the European Society for Research in Mathematics
Education) – Lyon, France.
Title: New didactical phenomena prompted by TI-NSpire specificities – the
mathematical component of the instrumentation process.
November 2008
Séminaire d’Epistémologie et Histoire des Idées Mathématiques (IHP, Paris, France).
Title : Inconnues, variables, paramètres, «ce n'est pas donné» pour les élèves! Un
regard didactique sur la question de l' “indéterminé”. [Unknown, variables and
parameters: when not all is given to students. Taking a didactical lens on the concept
of “indeterminate”].
July 2006
PME30 (International group for Psychology of Mathematics Education) – Charles
University (Prague, République Tchèque).
Title: Students’ conception of m and c : how to tune a linear function.
May 2006
Mathematisches Forschungsintitut Oberwolfach (Oberwolfach-Walke, Allemagne).
Title : “Unknown, variables and parameters – The historical and epistemological
pillars of the “indeterminate”
July 2005
PME29 (Psychology of Mathematics Education) – University of Melbourne
(Melbourne, Australia).
Title : Struggling with variables, parameters and indeterminate objects or how to go
insane in mathematics.
May 2005
Canadian Mathematics Education Study Group – University of Ottawa (Ottawa,
Canada).
Title : Establishing bonds between epistemology and mathematics education :
towards a better apprehension of student’s use and understanding of algebraic
symbolism.
April 2005
12 Journée des Sciences et Savoirs – Laurentian University (Sudbury, Canada).
Title: Giving body and soul to maths
December 2005
Instituto de Matemática e Estatística da Universidade de São Paulo (IME-USP) University of São Paulo (São Paulo, Brésil).
Title : A noção de “cultura algébrica” unindo Brasil, França e Austrália num projeto
sobre o ensino e a aprendizagem da Álgebra elementar. [The notion of « algebraic
culture » unifying Brazil, France and Australia]
October 2004
Northern Ontario Mathematics Association (NOMA) – St. Benedict’s Catholic S.S.
(Sudbury, Canada).
Title : Les dés sont jetés! [Throw the dice !]
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August 2004
Centro das Ciências Exatas e Tecnologias/Pontificia Universidade Catolica de São
Paulo (PUC-SP) – Catholic University of São Paulo (São Paulo, Brazil).
Title : Aliança sinérgica entre Epistemologia e Didática da Matemática no estudo da
Álgebra elementar e seus símbolos.
August 2004
Instituto de Matemática e Estatística da Universidade de São Paulo (IME-USP) University of São Paulo (São Paulo, Brazil).
Title : Aliança sinérgica entre Epistemologia e Didática da Matemática no estudo da
Álgebra elementar e seus símbolos.
June 2004
DSME - University of Melbourne (Melbourne, Australia). Conjoint presentation with
Dr. Robyn Pierce.
Title : Teaching Linear Functions in Context with Graphic Calculators.
June 2004
DSME Seminar – University of Melbourne (Melbourne, Australia).
Title : Learning in context with the aid of technology. What influence on students’
relationship to algebra?
May 2004
DSME Seminar - University of Melbourne (Melbourne, Australia).
Title : The “reader” and the “writer” perspectives. A tool for analysing students’
relationships to algebraic expressions.
May 2004
DSME Seminar - University of Melbourne (Melbourne, Australia).
Title: The “reader” and the “writer” perspectives -Two conceptual ways of
approaching an algebraic expression.
April 2004
DSME Seminar - University of Melbourne (Melbourne, Australia).
Title : Sense and Denotation.
April 2004
Department of Science and Education (DSME) Seminar - University of Melbourne
(Melbourne, Australia).
Title : Establishing bonds between epistemology and mathematics education towards a better understanding of one’s relationship to algebraic symbolism.
March 2004
Séminaire National de Didactique des Mathématiques (Paris, France).
Title : Présentation de thèse – Le rapport au symbolisme algébrique : une approche
didactique et épistémologique [PhD presentation]
February 2004
Séminaire Didatech – Université de Grenoble (Grenoble, France).
Title : L’articulation entre épistémologie, didactique et informatique dans l’étude de
l’accès au symbolisme algébrique. [Epistemology, mathematics education and
computer science linked together for studying one’s acces to algebraic symbolism]
November 2003
21 SFIDA (Séminaire Franco-Italien de Didactique de l’Algèbre) (Nice, France).
Title : Le rapport au symbolisme algébrique : une approche didactique et
épistémologique. [Establishing bonds between epistemology and mathematics
education : towards a better understanding of one’s relationship to algebraic
symbolism]
November 2003
Séminaire DidmaR - Université de Rennes 1 (Rennes, France).
Title : Une approche interdisciplinaire dans l’étude du rapport des élèves au
symbolisme algébrique. De l’articulation théorique entre didactique et épistémologie
à l’application pratique en EIAH. [A cross-theoretical analysis of students’ use and
understanding of algebra : from a didactical and philosophical view to its application
to Interactive Computer Aided Learning environments]
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August 2003
12 Ecole d’Ete de Didactique des Mathématiques (Corps, France).
Title : Diophante, Descartes, Leibniz. Une analyse épistémologique de la
représentation symbolique et de son déchiffrement. Quels apports pour la
didactique ? [Diophante, Descartes, Leibniz. An epistemological analysis of algebraic
symbols and its decoding. What benefits for mathematics education research?]
April 2003
Colloque d’Epistémologie sur les méthodes en Mathématiques (IHP, Paris, France).
Title : Epistémologie et didactique des mathématiques : deux visions
complémentaires du symbolisme algébrique. [Epistemology and mathematics
education : a cross-theoretical view of algebraic symbolism]
February 2003
CERME 3 (Third Conference of the European Society for Research in Mathematics
Education) (Bellaria, Italie).
Title: The construction of meaning of algebraic symbolism at different school levels.
An epistemological and didactical approach.
January 2003
Séminaire DIDIREM – Université Paris 7 (Paris, France)
Title : La construction du sens des écritures algébriques à différents niveaux
scolaires. Une approche didactique et épistémologique.
TEACHING EXPERIENCE (2006-2012)
2011-2012:
Co-ordinator of the following subjects at Melbourne Graduate School of Education:
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EDUC 90460 Learning Area Mathematics (Additional) 2
EDUC 90457 Learning Area Mathematics 1
EDUC 90618 Mathematics: Modeling & Problem Solving
EDUC90687 Numeracy for Life, School and Work
Lecturer and tutor for all subjects above and tutor for the subjects below :
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EDUC 90368 Primary Mathematics Education 1
EDUC 90380 Mathematics, Assessment and Learning
2006-2011:
Co-ordinator of the following subjects at the Faculty of Sciences:
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« FLHD0O7 – Se Préparer à enseigner » [Getting ready for teaching -for both primary and
secondary teaching, with practicum placements] (1st and 2nd year of science undergraduate
students)
« FLMA 613 – Initiation au métier d'enseignant en Mathématiques » [Introduction to the
teaching of mathematics -for secondary teaching, with practicum placements] (3rd year of
mathematics undergraduate students)
PhD course: « Regards croisés de chercheurs sur l’enseignement » [Crossed viewpoints of
researchers on teaching -for tertiary teaching]
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Master course « ZMHP312 - Intégration des TIC pour l'enseignement des
sciences: approfondissement didactique » [Using ICT in science classroom: didactical
theories -for both primary and secondary teaching]
Teaching :
2006/2007:
FLHDO07 Se préparer à enseigner
FLMA613 Initiation au métier d'enseignant en Mathématiques
ZMHP312 - Intégration des TIC pour l'enseignement des sciences
2007/2008:
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FLHDO07 Se préparer à enseigner
FLMA613 Initiation au métier d'enseignant en Mathématiques
FLSA Didactique des Mathématiques [Mathematics education theories for pre-service
primary teachers -3rd year undergraduate science students]
ZMHP312 - Intégration des TIC pour l'enseignement des sciences: approfondissement
didactique
PhD course « regards croisés de chercheurs sur l’enseignement »
2008/2009:
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FLMA103 Algèbre linéaire 1 [Linear Algebra for 1st year undergraduate science students]
FLHDO07 Se préparer à enseigner
FLMA613 Initiation au métier d'enseignant en Mathématiques
FLSA Didactique des Mathématiques
PhD course « regards croisés de chercheurs sur l’enseignement »
Supervision and assessment of 1st year Master mathematics students on practicum
placements
2009/2010:
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FLMA103 Algèbre linéaire 1
FLHDO07 Se préparer à enseigner
FLMA613 Initiation au métier d'enseignant en Mathématiques
Supervision and assessment of 1st year Master mathematics students on practicum
placements
LANGUAGES
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French : mother tongue
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Portuguese : mother tongue
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English: written, spoken and read fluently
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Spanish: read
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