Program
Program
October 1
11:00 - Opening session
Rector University of Madeira, President of CIM, President of ICMI
11:30 – “Felix Klein, a complete mathematician between two centuries”
José Francisco Rodrigues (Universidade de Lisboa/CMAF, Portugal)
12:00 – “Presentation of the IMU/ICMI Klein Project”
Bill Barton (The University of Auckland, New Zealand, Vice-President, ICMI)
13:00 - Lunch
14:30 - T. Banchoff (Brown University, USA)
"Algebraic Areas of Midpoint Polygons".
15:00 - Gert Schubring (Universität Bielefeld, Bielefeld, Germany)
“Felix Klein's vision on the relation: Between abyss and hysteresis.”
15:30 – Discussion
16:00 – Break
16:30 - Sebastià Xambó (Universitat Politècnica de Catalunya, Barcelona, Spain)
"A Clifford perspective on Klein's Geometry"
17:00 - R. Strasser (Justus-Liebig-Universitaet, Giessen,Germany)
“Klein's Hyperbolic Geometry Model - Epistemology - Didactics of Mathematics”
17:30 - Discussion
18:30 – Madeira de Honra
October 2
9:00 - Mário Jorge Dias Carneiro (Universidade Federal de Minas Gerais, Brasil)
"Which caracteristics of the development of Mathematics in the late XX Century should be incorporated in the curriculum and how to do it?"
9:30 - Ulrich Kortenkamp (Pädagogische Hochschule Karlsruhe, Karlsruhe, Germany)
“The Impact of Computer Science on Mathematics Education”
10:00 - Manuel Silva (Univ. Nova de Lisboa, Portugal)
"Algorithmic thinking in mathematics"
10:30 – Discussion
11:00 – Break
11:30 - Jaime Carvalho e Silva (Universidade de Coimbra/CMUC, Portugal)
“Enriques' choices”
12:00 - João Caramalho Domingues (Univ. Minho/CMAT, Portugal)
“A geometrical proof by Anastácio da Cunha in 19th-century English and American textbooks”
12:30 – Discussion
13:00 - Lunch
14:30 - Abraham Arcavi (The Weizmann Institute of Science, Rehovot, Israel)
"Mathematics as a school subject in the XXI century: trends, promises and dilemmas"
15:00 - João Pedro Ponte (DIFMAT and Univ. Lisboa, Portugal)
“Exploring and investigating mathematics: A key element in the activity of mathematicians, students and teachers”
15:30 - James King (University of Washington, USA)
“Affine Geometry from Klein to Spline”
16:00 – Discussion
16:30 – Break
17:00 - Margarida Oliveira (Escola EB23, Piscinas, Portugal)
“From mathematical modelling to computational simulation”
17:20 - Elsa Fernandes (Universidade da Madeira, Portugal), Eduardo Fermé (Universidade da Madeira, Portugal), Rui Oliveira (Escola EB 2,3 / S Alfândega da Fé, Portugal)
"Travelling with Robots to Learn Functions in Math Class"
17:40 - Frank S Quinn (Virginia Tech, Blacksburg, USA)
“A Contemporary Approach to Concept Formation”
18:00 - Discussion
October 3
9:30 - Yuriko Baldin (Universidade Federal de São Carlos, São Carlos, Brasil, and ICMI-Brasil)
"Some considerations about the advances of Mathematics in 20th
century and the possible implications to modernize the school curriculum"
10:00 - Emanuel Martinho (E. S. Gama Barros, Portugal), Maria Margarida Pinto (S.P.M. and E. S. Gama Barros, Portugal), Virgínia Amaral (E. S. Leal da Câmara, Portugal)
“A manual for the 11th grade – our experience and some thoughts for the future”
10:30 – Arsélio Martins (Escola José Estêvão, Aveiro, Portugal, and APM President)
“Is connecting subjects in the curriculum and in classroom the option? What else?
Reflection around two topics of elementary mathematics.”
11:00 - Discussion
11:30 – Break
11:50 - Ana Patrícia Silva, Luís Esteves (Colégio São João de Brito, Lisboa, Portugal)
“Trigonometry in a fun park”
12:10 - Adelaide Carreira (Univ. Lisboa, Portugal), Leila Ângelo, Ana Valdez (Colégio S. Tomás, Portugal)
“Structural topics of Analysis and Calculus: Linking foundations and developments”
12:30 – Discussion
13:00 - Lunch
14:30 - José Carlos Santos (Univ. Porto, Portugal)
“From Geometry to Groups”
15:00 - João Fernandes (Universidade de Coimbra/CFC, Portugal)
“Mathematics in Astronomy in school: some ideas and examples”
15:30 - Pedro Patrício (Univ. Minho/CMAT, Portugal)
"A brief introduction to crypto&coding (the ubiquity of primes)"
16:00 – Discussion
16:30 – Break
17:00 - Luís Sanchez (Univ. Lisboa/CMAF, Portugal)
“Reflexions on teaching introductory Analysis to beginners”
17:30 - Michèle Artigue (University Paris-Diderot - Paris 7, Paris, France)
“Functions and Analysis: Elements of reflection within the perspective of the Felix Klein project”
18:00 - Discussion
20:00 - Dinner
October 4
9:30 - M. F. Brilhante (Univ. Açores, Portugal), S. Mendonça (Univ. Madeira, Portugal), D. Pestana (Univ. Lisboa-CEAUL, Portugal)
“How normal is the 'normal' law, and how central is the 'central' limit theorem?”
10:00 - John Mason (Prof Emeritus, Open University, Senior Research Fellow, University of Oxford)
“Ideals, Actualities and Realities: epistemic stances, affective realities, and ontic possibilities in school mathematics - Contribution Towards the Neue Klein Project”
10:30 - Bernard R. Hodgson (Université Laval, Canada)
"Seven steps along a Kleinian pathway"
11:00 – Discussion
11:30 – Break
12:00 - Closing remarks
Bill Barton
12:30 - Closing session
October 1
11:00 - Opening session
Rector University of Madeira, President of CIM, President of ICMI
11:30 – “Felix Klein, a complete mathematician between two centuries”
José Francisco Rodrigues (Universidade de Lisboa/CMAF, Portugal)
12:00 – “Presentation of the IMU/ICMI Klein Project”
Bill Barton (The University of Auckland, New Zealand, Vice-President, ICMI)
13:00 - Lunch
14:30 - T. Banchoff (Brown University, USA)
"Algebraic Areas of Midpoint Polygons".
15:00 - Gert Schubring (Universität Bielefeld, Bielefeld, Germany)
“Felix Klein's vision on the relation: Between abyss and hysteresis.”
15:30 – Discussion
16:00 – Break
16:30 - Sebastià Xambó (Universitat Politècnica de Catalunya, Barcelona, Spain)
"A Clifford perspective on Klein's Geometry"
17:00 - R. Strasser (Justus-Liebig-Universitaet, Giessen,Germany)
“Klein's Hyperbolic Geometry Model - Epistemology - Didactics of Mathematics”
17:30 - Discussion
18:30 – Madeira de Honra
October 2
9:00 - Mário Jorge Dias Carneiro (Universidade Federal de Minas Gerais, Brasil)
"Which caracteristics of the development of Mathematics in the late XX Century should be incorporated in the curriculum and how to do it?"
9:30 - Ulrich Kortenkamp (Pädagogische Hochschule Karlsruhe, Karlsruhe, Germany)
“The Impact of Computer Science on Mathematics Education”
10:00 - Manuel Silva (Univ. Nova de Lisboa, Portugal)
"Algorithmic thinking in mathematics"
10:30 – Discussion
11:00 – Break
11:30 - Jaime Carvalho e Silva (Universidade de Coimbra/CMUC, Portugal)
“Enriques' choices”
12:00 - João Caramalho Domingues (Univ. Minho/CMAT, Portugal)
“A geometrical proof by Anastácio da Cunha in 19th-century English and American textbooks”
12:30 – Discussion
13:00 - Lunch
14:30 - Abraham Arcavi (The Weizmann Institute of Science, Rehovot, Israel)
"Mathematics as a school subject in the XXI century: trends, promises and dilemmas"
15:00 - João Pedro Ponte (DIFMAT and Univ. Lisboa, Portugal)
“Exploring and investigating mathematics: A key element in the activity of mathematicians, students and teachers”
15:30 - James King (University of Washington, USA)
“Affine Geometry from Klein to Spline”
16:00 – Discussion
16:30 – Break
17:00 - Margarida Oliveira (Escola EB23, Piscinas, Portugal)
“From mathematical modelling to computational simulation”
17:20 - Elsa Fernandes (Universidade da Madeira, Portugal), Eduardo Fermé (Universidade da Madeira, Portugal), Rui Oliveira (Escola EB 2,3 / S Alfândega da Fé, Portugal)
"Travelling with Robots to Learn Functions in Math Class"
17:40 - Frank S Quinn (Virginia Tech, Blacksburg, USA)
“A Contemporary Approach to Concept Formation”
18:00 - Discussion
October 3
9:30 - Yuriko Baldin (Universidade Federal de São Carlos, São Carlos, Brasil, and ICMI-Brasil)
"Some considerations about the advances of Mathematics in 20th
century and the possible implications to modernize the school curriculum"
10:00 - Emanuel Martinho (E. S. Gama Barros, Portugal), Maria Margarida Pinto (S.P.M. and E. S. Gama Barros, Portugal), Virgínia Amaral (E. S. Leal da Câmara, Portugal)
“A manual for the 11th grade – our experience and some thoughts for the future”
10:30 – Arsélio Martins (Escola José Estêvão, Aveiro, Portugal, and APM President)
“Is connecting subjects in the curriculum and in classroom the option? What else?
Reflection around two topics of elementary mathematics.”
11:00 - Discussion
11:30 – Break
11:50 - Ana Patrícia Silva, Luís Esteves (Colégio São João de Brito, Lisboa, Portugal)
“Trigonometry in a fun park”
12:10 - Adelaide Carreira (Univ. Lisboa, Portugal), Leila Ângelo, Ana Valdez (Colégio S. Tomás, Portugal)
“Structural topics of Analysis and Calculus: Linking foundations and developments”
12:30 – Discussion
13:00 - Lunch
14:30 - José Carlos Santos (Univ. Porto, Portugal)
“From Geometry to Groups”
15:00 - João Fernandes (Universidade de Coimbra/CFC, Portugal)
“Mathematics in Astronomy in school: some ideas and examples”
15:30 - Pedro Patrício (Univ. Minho/CMAT, Portugal)
"A brief introduction to crypto&coding (the ubiquity of primes)"
16:00 – Discussion
16:30 – Break
17:00 - Luís Sanchez (Univ. Lisboa/CMAF, Portugal)
“Reflexions on teaching introductory Analysis to beginners”
17:30 - Michèle Artigue (University Paris-Diderot - Paris 7, Paris, France)
“Functions and Analysis: Elements of reflection within the perspective of the Felix Klein project”
18:00 - Discussion
20:00 - Dinner
October 4
9:30 - M. F. Brilhante (Univ. Açores, Portugal), S. Mendonça (Univ. Madeira, Portugal), D. Pestana (Univ. Lisboa-CEAUL, Portugal)
“How normal is the 'normal' law, and how central is the 'central' limit theorem?”
10:00 - John Mason (Prof Emeritus, Open University, Senior Research Fellow, University of Oxford)
“Ideals, Actualities and Realities: epistemic stances, affective realities, and ontic possibilities in school mathematics - Contribution Towards the Neue Klein Project”
10:30 - Bernard R. Hodgson (Université Laval, Canada)
"Seven steps along a Kleinian pathway"
11:00 – Discussion
11:30 – Break
12:00 - Closing remarks
Bill Barton
12:30 - Closing session
