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Lessons from
some recent ICMI Studies
 Ja ime C a r v a lh o e S il v a
 S ec re ta ry-G enera l of ICM I
 Un iversi ty of C oi m bra, Po rt ug a l
 CMU    C/Projec t U I 324 - 2011-2012
ICMI
ICMI



Founded in 1908
ICMI



Founded in 1908
First president was Felix Klein
ICMI



Founded in 1908
First president was Felix Klein
90 countries
Executive Committee
Executive Committee




  South Korea, China, USA, Israel, France
New Zealand, Italy, Costa Rica, South Africa,
           Australia, Portugal
commission of IMU
IMU is member of ICSU
ICMI activities

ICMI Studies

ICME - International Congress on Mathematical
Education

ICMI Bulletin

ICMI News (newsletter)

ICMI website
ICME congress
ICME-12 in Korea
ICMI Affiliated Study Groups

HPM: The International Study Group on the Relations
between the History and Pedagogy of Mathematics
(1976)
ICTMA: The International Study Group for Mathematical
Modelling and Application (2003)
IOWME: The International Organization of Women and
Mathematics Education (1987)
PME: The International Group for the Psychology of
Mathematics Education (1976)
WFNMC: The World Federation of National Mathematics
Competitions (1994)
Multi-national Mathematical
        Education Societies
           affiliated to ICMI


CIAEM: Inter-American Committee on Mathematics
Education (2009)
ERME: European Society for Research in Mathematics
Education (2010)
CIEAEM: International Commission for the Study and
Improvement of Mathematics Teaching (2010)
What is an ICMI Study


Activity created in 1985 when Jean-Pierre
Kahane was President of ICMI.

The goal is the production of a Study Book. The
first five were published by Cambridge
University Press and are now online.
First five ICMI Studies
What is an ICMI Study

Each Study focuses on a topic or issue of
prominent current interest in mathematics
education.

Each Study reflect the great variety of issues
and concerns in the field of mathematics
education

It is intended to promote and assist discussion
and action at the international, regional or
institutional level.
What is an ICMI Study

Studies are of interest to educational
researchers, curriculum developers,
educational policy makers, teachers of
mathematics, and to mathematicians and
educators involved in the professional
education and development of teachers of
mathematics.
Methodology
First, the Executive Committee of ICMI decides
upon a theme. It then appoints the co-chairs
and an International Program Committee
(IPC)

The IPC produces a Discussion Document in
which a number of key issues and sub-themes
related to the theme of the Study are identified
and described in a preliminary manner. The
Discussion Document is widely disseminated
internationally to solicit papers from the field.
Methodology

Thirdly, an international conference is
organized to bring together both experts in the
field and newcomers with interesting ideas or
promising work in progress, as well as to
gathering representatives with a variety of
backgrounds from different regions, traditions
and cultures.
Methodology

Finally, a research volume, presents a state-of-
the-art expert report.

The Study volumes constitute presently the
(New) ICMI Studies Series (NISS),
appearing under the general editorship of the
President and the Secretary-General of ICMI.

Volumes are now published by Springer.
ICMI Studies
ICMI Studies
ICMI Studies

15. The Professional Education and Development
of Teachers of Mathematics.

16. Challenging Mathematics in and Beyond the
Classroom.

17. Digital Technologies and Mathematics
Teaching and Learning: Rethinking the Terrain.

18. Statistics Education in School Mathematics:
Challenges for Teaching and Teacher Education.
ICMI Studies

19. Proof and proving in mathematics education.

20. Educational Interfaces between Mathematics
and the Industry (EIMI)

21. Mathematics Education in Multilingual
Contexts

22 Task Design
ICMI Study 18
                                                                                                        ICMI
New ICMI Study Series
                                                                                                       Study
                                                                                                                                                    New ICMI Study Series
Carmen Batanero · Gail Burrill · Chris Reading Editors




                                                                                                            Batanero · Burrill · Reading Eds.
Teaching Statistics in School Mathematics-Challenges
for Teaching and Teacher Education
A Joint ICMI/IASE Study: The 18th ICMI Study


In recent years, there have been an expansion and renewal of the statistics content                                                                   Carmen Batanero
in the mathematics curricula in many countries through all school grade levels from
primary to secondary levels. However, no similar attention has been paid to the prepa-
ration of mathematics teacher to teach statistics at these levels. This book presents the
                                                                                                                                                      Gail Burrill
results from the Joint ICMI/IASE Study, Teaching Statistics in School Mathematics.
Challenges for Teaching and Teacher Education that was intended to address the lack
                                                                                                                                                      Chris Reading Editors
of attention to teaching statistics by promoting international collaborative research
specifically focussed on the education and professional development of teachers to teach



                                                                                                                                                      Teaching Statistics in
statistics.The volume covers a very wide field, including examples of statistics curricula
and teacher education programmes around the world; analysis of the fundamentals
to teaching statistics; survey chapters of research related to teachers’ attitudes, beliefs
and knowledge related to fundamental statistics ideas and its teaching; and analyses of            1
                                                                                                                                                      School Mathematics-
challenges and experiences related to training teachers to teach statistics. The book is
designed to be useful to researchers in mathematics education and statistics education
teacher educators, and people involved in curricular development in statistics with the




                                                                                               Teaching Statistics in School Mathematics-Challenges
hope that it will foster further research in the problems related to educating teachers to




                                                                                               for Teaching and Teacher Education
                                                                                                                                                      Challenges for
teach statistics at different school levels. It could be of interest to teachers themselves,
since the basic ideas for teaching statistics and the research summarised in the book
both in learning difficulties or teaching strategies is applicable in both the training of
students and teachers.



                                                                                                                                                      Teaching and
                                                                                                                                                      Teacher Education
                                                                                                                                                      A Joint ICMI/IASE Study:
                                                                                                                                                      The 18th ICMI Study
Education
   ISBN 978-94-007-1130-3
Executive Summary


Although the teaching of statistics in secondary
schools has a long tradition, in recent years many
countries have also included statistics in the
primary curriculum. In addition, more attention
has been paid to developing statistical thinking
in students across all levels of education.
Executive Summary


Most teachers acknowledge the practical
importance of statistics and are willing to give
more relevance to the teaching of statistics.
However many mathematics teachers, do not
consider themselves well prepared to teach
statistics nor face their students’ difficulties.
Executive Summary

There is a continuing need for finding
approaches for preparing teachers that promote
teachers’ statistical literacy and reasoning, that
engage teachers with real data and statistical
investigations, and that connect teacher
education to their teaching practice and the
reality of their classrooms.
Executive Summary


The rapid development of statistics and statistics
education implies that further research in
statistics education is needed. The analyses,
research, and case studies reported in the Study
provide a rich starting point for such research.
Press release
                                Press  Release  EMBARGO:  26.6.2011                    
  
New  Book  Helps  Statistics  Teachers  Stay  Ahead    
  
                                                                                    quantitative  areas  for  
a  modern  information  society,  including  a  sound  understanding  of  statistics.  But  for  teachers  
trying  to  help  students  to  appreciate  and  use  the  concepts  and  principles  of  statistics,  the  odds  
are  often  against  them.  
  
Authors  of  a  new  book,  Teaching  Statistics  in  School  Mathematics:  Challenges  for  Teaching  and  
Teacher  Education,  advocate  that  the  key  to  successful  statistics  education  starts  with  teachers  


                                            t  consider  themselves  well  prepared  to  teach  statistics  nor  
                                         
  
This  innovative  book  is  a  useful  guide  for  teachers,  and  those  who  educate  teachers,  seeking  to  
overcome   these   challenges.   It   identifies   new   approaches   to   enha
literacy   that   bridge   teacher   education   with   teaching   practice   in   the   classroom.   The   growing  
appreciation  for  the  importance  of  an  understanding  of  statistics  means  that  in  many  countries  
the   subject   is   now   taught   throughout   school   levels,   including   across   primary   school.   But   in  
order  to  teach  statistics  effectively,  teachers  must  understand  the  nature  of  statistics  and  its  

benefit  from  

organising  initiatives  to  help  increase  statistical  literacy  of  all  citizen   
  
Teaching  Statistics  in  School  Mathematics  is  the  product  of  a  joint  collaboration  between  the  
International   Commission   on   Mathematical   Instruction   (ICMI)   and   the   International  
Association  for  Statistical  Education  (IASE).  It  is  the  18th  in  a  series  of  studies  commissioned  by  
the   International   Commission   on   Mathematical   Instruction   (ICMI).   The   18th   study   is   also   a  
product   of   the   2008   IASE   Roundtable   Conference.   Each   ICMI   study   is   meant   to   foster  
understanding   and   resolutions   of   the   challenges   that   face   multidisciplinary   and   culturally  
diverse  research  and  development  in  mathematics  education  by  focusing  on  a  topic  or  issue  of  
prominent   current   interest   in   mathematics   education.   Similarly   each   of   the   Roundtable  
Conferences  in  Statistics  Education,  which  have  been  held  since  1968,  focuses  on  a  prominent  
topic   in   statistics   education   and   produces   refereed   Proceedings.   These   Roundtable  
conferences   were   organised   before   1992   by   the   International   Statistical   Institute   and   since  
1992  by  the  IASE.    
  
Thus  both  ICMI  studies  and  IASE  Roundtable  studies  are  built  around  international  conferences  
with  the  goal  of  preparing  a  published  volume  that  can  promote  discussion  and  action  at  the  
international,   regional   or   institutional   level.   The   result   of   this   innovative   and   exciting  
collaboration   is   Teaching   Statistics   in   School   Mathematics,   which   will   be   presented   at   the  
Conferencia   Interamericana   de   Educación   Matemática   (CIAEM)   conference   in   Recife,   Brazil,  
June  26  -­‐  30,  2011,  published  by  Springer  and  will  be  released  in  August  2011.      
  
For  further  information  please  contact:    Carmen  Batanero,  (Editor):  batanero@ugr.es  
Lena  Koch  (ICMI  Administrator,  IMU  Secretariat)    icmi.cdc.administrator@mathunion.org    
  
International  Commission  on  Mathematical  Instruction  (www.mathunion.org/ICMI)  
International  Association  for  Statistical  Education  (www.stat.auckland.ac.nz/~iase/  


International  Mathematical  Union,  Secretariat,  Markgrafenstr.32,  10117  Berlin,  Germany  
Phone:  +49  30  20372-­‐432,  Fax:  +49  30  20372-­‐439  
ICMI Study 15


     Co-chairs:

     Ruhama Even (Israel)

     Deborah Loewenberg Ball
     (USA)
ICMI Study 15
       scientific committee
                                 Gilah Leder La Trobe University
Jo Boaler Stanford University    AUSTRALIA
USA
                                 Shiqi Li East China Normal
Chris Breen University of Cape   University CHINA
Town SOUTH AFRICA
                                 Romulo Lins State University of
Frédéric Gourdeau Université     Sao Paulo at Rio Claro BRAZIL
Laval CANADA
                                 João Filipe Matos Universidade
Marja van den Heuvel-Panhuizen   Lisboa PORTUGAL
Utrecht University
NETHERLANDS                      Jarmila Novotna Charles
                                 University CZECH REPUBLIC
Barbara Jaworski Loughborough
University UK                    Aline Robert IUFM de Versailles
                                 FRANCE
ICMI Study 15


The study was designed to investigate practices
and programs of mathematics teacher education
in different countries and to contribute to an
international discourse about the professional
education of prospective and practicing teachers
of mathematics
ICMI Study 15

The premise of this study was that teachers are
key to students’ opportunities to learn
mathematics.

What mathematics teachers know, care about,
and do is a product of their experiences and
socialization both prior to and after entering
teaching, together with the impact of their
professional education.
ICMI Study 15


there is a growing need to design policy-oriented
studies according to a typology of comparative
differences within and across regions that can
give better insights on the teacher education-
teacher practice-pupil learning continuum,
taking into account contextual differences.
ICMI Study 15

The first years of teaching can be seen as a
transition with many interdependent
components: from being a teacher student in a
university environment, where mathematics and
teaching is often considered in more theoretical
ways, to a (more or less autonomous) status of
being a professional in a school, in charge of a
number of practical problems related to teaching
and school mathematics.
ICMI Study 15


The international perspective seems very
important; here, as it may help us to reject the
fatalism that often results from a perspective
which is confined to a single system of education
ICMI Study 15

Needless to say, systems of schooling—including
teacher education—display a surprising level of
inertia. Looking beyond them may help us
recognize that their defaults are not inevitable.
This seems in particular to be the case for some
of the problems faced by beginning teachers,
including isolation and lack of resources for
professional growth as a mathematics teacher.
ICMI Study 15

It appears certain that the recruitment and
retention of mathematics teacher educators will
need to be a major focus of institutions of higher
education in future years.

Who becomes a teacher educator, the
motivations and incentives for doing so, and the
tasks and duties of teacher educators are all
worthy of further discussion on an international
level.
ICMI Study 15
A split between pedagogy courses and content
courses might not be productive. It is possible to
teach courses that address both at the same time.

There is no agreement on what the role of
mathematicians in pedagogy courses should be.

Many responses pointed to the opportunity to
capitalize on mathematicians’ knowledge of
mathematics and “how mathematics works” and
their experiences as learners and teachers of
mathematics.
ICMI Study 16


    Co-chairs:

    Edward Barbeau (Canada),
    Peter J. Taylor (Australia)
ICMI Study 16

Discussion Document:

“Mathematics is engaging, useful, and creative. What can we do to make it
accessible to more people?”

“Recent attempts to develop students' mathematical creativity include the use of
investigations, problems, reflective logs, and a host of other devices. These can
be seen as ways to attract students with material that challenges the mind.”

“Initiatives taken around the globe have varied in quality and have met with
different degrees of success. New technologies have enabled us to refine our
efforts and restructure our goals. It is time to assess what has been done, study
conditions for success and determine some approaches for the future.”
ICMI Study 16

Discussion Document:

“What is a mathematical challenge?”

“How do we provide challenges?”

“How do challenges contribute to the learning process?”

“How can challenges be used in the classroom?”
ICMI Study 16 conclusions


Those responsible for curriculum design and
assessment need to question whether their
policies inhibit or promote an authentic and
productive mathematical experience in the
classroom.
ICMI Study 16 conclusions


The time has come for a gathering of the
available materials and the formulation of
research and field trials involving the use of
challenges that will allow us to move forward in a
sound and measured way.
ICMI Study 16 conclusions


Teachers value and are more easily persuaded, if
someone involved in the development process
can actually work with their class and show how
the process they are proposing can produce gains
by their students.
ICMI Study 17


      Co-chairs:

      Celia Hoyles (England),
      Jean-Baptiste Lagrange
      (France)
ICMI Study 17

Discussion Document:

“identify and analyse some of the challenges in mathematics teaching and
learning, practically and theoretically, in the light of the use of digital
technologies”

“What new types of mathematical knowledge and practices emerge as a result of
access to digital technologies, particularly computational, dynamic visualisation
and communication technologies?”

“What role can the "mathematics laboratory" play in different educational
contexts, including primary, secondary, tertiary and vocational education?”
ICMI Study 17

Section 1: Design of learning environments and
curricula

Section 2 Learning and Assessing Mathematics
with and through Digital Technologies

Section 3 Teachers and Technology

Section 4 Implementation of Curricula: Issues of
Access and Equity
ICMI Study 17


Section 5: Future Directions

Future of technology? Kindle? iPads?
SmartPhones?
ICMI Study 17


Section 5: Future Directions

Future of technology? Kindle? iPads?
SmartPhones?
ICMI Study 17


Seymour Papert (inventor of LOGO): “spend
reasonable part of the time and energy thinking
about possible futures, freeing our minds of the
current constraints.”
ICMI News
more about ICMI



www.mathunion.org/icmi/
Thank you for your
        attention
Ja ime C a r v a lh o e S il v a
S ec re ta ry-G enera l of ICM I
Un iversi ty of C oi m bra, Po rt ug a l
CMU    C/Projec t U I 324 - 2011-2012

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Lessons from some recent ICMI studies

  • 1. Lessons from some recent ICMI Studies Ja ime C a r v a lh o e S il v a S ec re ta ry-G enera l of ICM I Un iversi ty of C oi m bra, Po rt ug a l CMU C/Projec t U I 324 - 2011-2012
  • 4. ICMI Founded in 1908 First president was Felix Klein
  • 5. ICMI Founded in 1908 First president was Felix Klein 90 countries
  • 7. Executive Committee South Korea, China, USA, Israel, France New Zealand, Italy, Costa Rica, South Africa, Australia, Portugal
  • 9. IMU is member of ICSU
  • 10. ICMI activities ICMI Studies ICME - International Congress on Mathematical Education ICMI Bulletin ICMI News (newsletter) ICMI website
  • 13. ICMI Affiliated Study Groups HPM: The International Study Group on the Relations between the History and Pedagogy of Mathematics (1976) ICTMA: The International Study Group for Mathematical Modelling and Application (2003) IOWME: The International Organization of Women and Mathematics Education (1987) PME: The International Group for the Psychology of Mathematics Education (1976) WFNMC: The World Federation of National Mathematics Competitions (1994)
  • 14. Multi-national Mathematical Education Societies affiliated to ICMI CIAEM: Inter-American Committee on Mathematics Education (2009) ERME: European Society for Research in Mathematics Education (2010) CIEAEM: International Commission for the Study and Improvement of Mathematics Teaching (2010)
  • 15. What is an ICMI Study Activity created in 1985 when Jean-Pierre Kahane was President of ICMI. The goal is the production of a Study Book. The first five were published by Cambridge University Press and are now online.
  • 16. First five ICMI Studies
  • 17. What is an ICMI Study Each Study focuses on a topic or issue of prominent current interest in mathematics education. Each Study reflect the great variety of issues and concerns in the field of mathematics education It is intended to promote and assist discussion and action at the international, regional or institutional level.
  • 18. What is an ICMI Study Studies are of interest to educational researchers, curriculum developers, educational policy makers, teachers of mathematics, and to mathematicians and educators involved in the professional education and development of teachers of mathematics.
  • 19. Methodology First, the Executive Committee of ICMI decides upon a theme. It then appoints the co-chairs and an International Program Committee (IPC) The IPC produces a Discussion Document in which a number of key issues and sub-themes related to the theme of the Study are identified and described in a preliminary manner. The Discussion Document is widely disseminated internationally to solicit papers from the field.
  • 20. Methodology Thirdly, an international conference is organized to bring together both experts in the field and newcomers with interesting ideas or promising work in progress, as well as to gathering representatives with a variety of backgrounds from different regions, traditions and cultures.
  • 21. Methodology Finally, a research volume, presents a state-of- the-art expert report. The Study volumes constitute presently the (New) ICMI Studies Series (NISS), appearing under the general editorship of the President and the Secretary-General of ICMI. Volumes are now published by Springer.
  • 24. ICMI Studies 15. The Professional Education and Development of Teachers of Mathematics. 16. Challenging Mathematics in and Beyond the Classroom. 17. Digital Technologies and Mathematics Teaching and Learning: Rethinking the Terrain. 18. Statistics Education in School Mathematics: Challenges for Teaching and Teacher Education.
  • 25. ICMI Studies 19. Proof and proving in mathematics education. 20. Educational Interfaces between Mathematics and the Industry (EIMI) 21. Mathematics Education in Multilingual Contexts 22 Task Design
  • 26. ICMI Study 18 ICMI New ICMI Study Series Study  New ICMI Study Series Carmen Batanero · Gail Burrill · Chris Reading Editors Batanero · Burrill · Reading Eds. Teaching Statistics in School Mathematics-Challenges for Teaching and Teacher Education A Joint ICMI/IASE Study: The 18th ICMI Study In recent years, there have been an expansion and renewal of the statistics content Carmen Batanero in the mathematics curricula in many countries through all school grade levels from primary to secondary levels. However, no similar attention has been paid to the prepa- ration of mathematics teacher to teach statistics at these levels. This book presents the Gail Burrill results from the Joint ICMI/IASE Study, Teaching Statistics in School Mathematics. Challenges for Teaching and Teacher Education that was intended to address the lack Chris Reading Editors of attention to teaching statistics by promoting international collaborative research specifically focussed on the education and professional development of teachers to teach Teaching Statistics in statistics.The volume covers a very wide field, including examples of statistics curricula and teacher education programmes around the world; analysis of the fundamentals to teaching statistics; survey chapters of research related to teachers’ attitudes, beliefs and knowledge related to fundamental statistics ideas and its teaching; and analyses of 1 School Mathematics- challenges and experiences related to training teachers to teach statistics. The book is designed to be useful to researchers in mathematics education and statistics education teacher educators, and people involved in curricular development in statistics with the Teaching Statistics in School Mathematics-Challenges hope that it will foster further research in the problems related to educating teachers to for Teaching and Teacher Education Challenges for teach statistics at different school levels. It could be of interest to teachers themselves, since the basic ideas for teaching statistics and the research summarised in the book both in learning difficulties or teaching strategies is applicable in both the training of students and teachers. Teaching and Teacher Education A Joint ICMI/IASE Study: The 18th ICMI Study Education ISBN 978-94-007-1130-3
  • 27. Executive Summary Although the teaching of statistics in secondary schools has a long tradition, in recent years many countries have also included statistics in the primary curriculum. In addition, more attention has been paid to developing statistical thinking in students across all levels of education.
  • 28. Executive Summary Most teachers acknowledge the practical importance of statistics and are willing to give more relevance to the teaching of statistics. However many mathematics teachers, do not consider themselves well prepared to teach statistics nor face their students’ difficulties.
  • 29. Executive Summary There is a continuing need for finding approaches for preparing teachers that promote teachers’ statistical literacy and reasoning, that engage teachers with real data and statistical investigations, and that connect teacher education to their teaching practice and the reality of their classrooms.
  • 30. Executive Summary The rapid development of statistics and statistics education implies that further research in statistics education is needed. The analyses, research, and case studies reported in the Study provide a rich starting point for such research.
  • 31. Press release Press  Release  EMBARGO:  26.6.2011                       New  Book  Helps  Statistics  Teachers  Stay  Ahead       quantitative  areas  for   a  modern  information  society,  including  a  sound  understanding  of  statistics.  But  for  teachers   trying  to  help  students  to  appreciate  and  use  the  concepts  and  principles  of  statistics,  the  odds   are  often  against  them.     Authors  of  a  new  book,  Teaching  Statistics  in  School  Mathematics:  Challenges  for  Teaching  and   Teacher  Education,  advocate  that  the  key  to  successful  statistics  education  starts  with  teachers   t  consider  themselves  well  prepared  to  teach  statistics  nor       This  innovative  book  is  a  useful  guide  for  teachers,  and  those  who  educate  teachers,  seeking  to   overcome   these   challenges.   It   identifies   new   approaches   to   enha literacy   that   bridge   teacher   education   with   teaching   practice   in   the   classroom.   The   growing   appreciation  for  the  importance  of  an  understanding  of  statistics  means  that  in  many  countries   the   subject   is   now   taught   throughout   school   levels,   including   across   primary   school.   But   in   order  to  teach  statistics  effectively,  teachers  must  understand  the  nature  of  statistics  and  its   benefit  from   organising  initiatives  to  help  increase  statistical  literacy  of  all  citizen     Teaching  Statistics  in  School  Mathematics  is  the  product  of  a  joint  collaboration  between  the   International   Commission   on   Mathematical   Instruction   (ICMI)   and   the   International   Association  for  Statistical  Education  (IASE).  It  is  the  18th  in  a  series  of  studies  commissioned  by   the   International   Commission   on   Mathematical   Instruction   (ICMI).   The   18th   study   is   also   a   product   of   the   2008   IASE   Roundtable   Conference.   Each   ICMI   study   is   meant   to   foster   understanding   and   resolutions   of   the   challenges   that   face   multidisciplinary   and   culturally   diverse  research  and  development  in  mathematics  education  by  focusing  on  a  topic  or  issue  of   prominent   current   interest   in   mathematics   education.   Similarly   each   of   the   Roundtable   Conferences  in  Statistics  Education,  which  have  been  held  since  1968,  focuses  on  a  prominent   topic   in   statistics   education   and   produces   refereed   Proceedings.   These   Roundtable   conferences   were   organised   before   1992   by   the   International   Statistical   Institute   and   since   1992  by  the  IASE.       Thus  both  ICMI  studies  and  IASE  Roundtable  studies  are  built  around  international  conferences   with  the  goal  of  preparing  a  published  volume  that  can  promote  discussion  and  action  at  the   international,   regional   or   institutional   level.   The   result   of   this   innovative   and   exciting   collaboration   is   Teaching   Statistics   in   School   Mathematics,   which   will   be   presented   at   the   Conferencia   Interamericana   de   Educación   Matemática   (CIAEM)   conference   in   Recife,   Brazil,   June  26  -­‐  30,  2011,  published  by  Springer  and  will  be  released  in  August  2011.         For  further  information  please  contact:    Carmen  Batanero,  (Editor):  batanero@ugr.es   Lena  Koch  (ICMI  Administrator,  IMU  Secretariat)    icmi.cdc.administrator@mathunion.org       International  Commission  on  Mathematical  Instruction  (www.mathunion.org/ICMI)   International  Association  for  Statistical  Education  (www.stat.auckland.ac.nz/~iase/   International  Mathematical  Union,  Secretariat,  Markgrafenstr.32,  10117  Berlin,  Germany   Phone:  +49  30  20372-­‐432,  Fax:  +49  30  20372-­‐439  
  • 32. ICMI Study 15 Co-chairs: Ruhama Even (Israel) Deborah Loewenberg Ball (USA)
  • 33. ICMI Study 15 scientific committee Gilah Leder La Trobe University Jo Boaler Stanford University AUSTRALIA USA Shiqi Li East China Normal Chris Breen University of Cape University CHINA Town SOUTH AFRICA Romulo Lins State University of Frédéric Gourdeau Université Sao Paulo at Rio Claro BRAZIL Laval CANADA João Filipe Matos Universidade Marja van den Heuvel-Panhuizen Lisboa PORTUGAL Utrecht University NETHERLANDS Jarmila Novotna Charles University CZECH REPUBLIC Barbara Jaworski Loughborough University UK Aline Robert IUFM de Versailles FRANCE
  • 34. ICMI Study 15 The study was designed to investigate practices and programs of mathematics teacher education in different countries and to contribute to an international discourse about the professional education of prospective and practicing teachers of mathematics
  • 35. ICMI Study 15 The premise of this study was that teachers are key to students’ opportunities to learn mathematics. What mathematics teachers know, care about, and do is a product of their experiences and socialization both prior to and after entering teaching, together with the impact of their professional education.
  • 36. ICMI Study 15 there is a growing need to design policy-oriented studies according to a typology of comparative differences within and across regions that can give better insights on the teacher education- teacher practice-pupil learning continuum, taking into account contextual differences.
  • 37. ICMI Study 15 The first years of teaching can be seen as a transition with many interdependent components: from being a teacher student in a university environment, where mathematics and teaching is often considered in more theoretical ways, to a (more or less autonomous) status of being a professional in a school, in charge of a number of practical problems related to teaching and school mathematics.
  • 38. ICMI Study 15 The international perspective seems very important; here, as it may help us to reject the fatalism that often results from a perspective which is confined to a single system of education
  • 39. ICMI Study 15 Needless to say, systems of schooling—including teacher education—display a surprising level of inertia. Looking beyond them may help us recognize that their defaults are not inevitable. This seems in particular to be the case for some of the problems faced by beginning teachers, including isolation and lack of resources for professional growth as a mathematics teacher.
  • 40. ICMI Study 15 It appears certain that the recruitment and retention of mathematics teacher educators will need to be a major focus of institutions of higher education in future years. Who becomes a teacher educator, the motivations and incentives for doing so, and the tasks and duties of teacher educators are all worthy of further discussion on an international level.
  • 41. ICMI Study 15 A split between pedagogy courses and content courses might not be productive. It is possible to teach courses that address both at the same time. There is no agreement on what the role of mathematicians in pedagogy courses should be. Many responses pointed to the opportunity to capitalize on mathematicians’ knowledge of mathematics and “how mathematics works” and their experiences as learners and teachers of mathematics.
  • 42. ICMI Study 16 Co-chairs: Edward Barbeau (Canada), Peter J. Taylor (Australia)
  • 43. ICMI Study 16 Discussion Document: “Mathematics is engaging, useful, and creative. What can we do to make it accessible to more people?” “Recent attempts to develop students' mathematical creativity include the use of investigations, problems, reflective logs, and a host of other devices. These can be seen as ways to attract students with material that challenges the mind.” “Initiatives taken around the globe have varied in quality and have met with different degrees of success. New technologies have enabled us to refine our efforts and restructure our goals. It is time to assess what has been done, study conditions for success and determine some approaches for the future.”
  • 44. ICMI Study 16 Discussion Document: “What is a mathematical challenge?” “How do we provide challenges?” “How do challenges contribute to the learning process?” “How can challenges be used in the classroom?”
  • 45. ICMI Study 16 conclusions Those responsible for curriculum design and assessment need to question whether their policies inhibit or promote an authentic and productive mathematical experience in the classroom.
  • 46. ICMI Study 16 conclusions The time has come for a gathering of the available materials and the formulation of research and field trials involving the use of challenges that will allow us to move forward in a sound and measured way.
  • 47. ICMI Study 16 conclusions Teachers value and are more easily persuaded, if someone involved in the development process can actually work with their class and show how the process they are proposing can produce gains by their students.
  • 48. ICMI Study 17 Co-chairs: Celia Hoyles (England), Jean-Baptiste Lagrange (France)
  • 49. ICMI Study 17 Discussion Document: “identify and analyse some of the challenges in mathematics teaching and learning, practically and theoretically, in the light of the use of digital technologies” “What new types of mathematical knowledge and practices emerge as a result of access to digital technologies, particularly computational, dynamic visualisation and communication technologies?” “What role can the "mathematics laboratory" play in different educational contexts, including primary, secondary, tertiary and vocational education?”
  • 50. ICMI Study 17 Section 1: Design of learning environments and curricula Section 2 Learning and Assessing Mathematics with and through Digital Technologies Section 3 Teachers and Technology Section 4 Implementation of Curricula: Issues of Access and Equity
  • 51. ICMI Study 17 Section 5: Future Directions Future of technology? Kindle? iPads? SmartPhones?
  • 52. ICMI Study 17 Section 5: Future Directions Future of technology? Kindle? iPads? SmartPhones?
  • 53. ICMI Study 17 Seymour Papert (inventor of LOGO): “spend reasonable part of the time and energy thinking about possible futures, freeing our minds of the current constraints.”
  • 56. Thank you for your attention Ja ime C a r v a lh o e S il v a S ec re ta ry-G enera l of ICM I Un iversi ty of C oi m bra, Po rt ug a l CMU C/Projec t U I 324 - 2011-2012