6.º International Congress on Mathematical Education (1988 : Budapest, Hungary)

Unesco Document Series Nº. 35

Unesco | 1989 | 200 páginas | pdf | 23,61 Mb

on-line: unesdoc.unesco.org

Mathematics, Education, and Society (MES) . . . 1

Arpad Szabd: Mathematics and Dialectics.. . . . 2

Ahmed Djebbar: The Content of Mathematics Teaching in North Africa in the Middle Ages and its Role in Present Day Teaching.. . . 3

John Fauvel: Should We Bring Back the Mathematical Practitioner? Learning From the Social History of Mathematics Education in the British Renaissance.. . 4

Gert Schubring: Theoretical Categories for Investigations in the Social History of Mathematics Education and Some Characteristic Patterns . . 6

Terezinha Nunes Carraher: Material Embodiments of Mathematics Models in Everyday Life

Lloyd Dawe: Mathematics Teaching and Learning in Village Schools of the South Pacific

Murad Jurdak: Religion and Language as Cultural Carriers and Barriers in Mathematics Education

Claudia Zaslavsky: Integrating Mathematics With the Study of Cultural Traditions

Leone Burton: Mathematics as a Cultural Experience: Whose Experience?

Desmond Broomes: The Mathematical Demands of a Rural Economy

Kathryn Crawford: Knowing What Versus Knowing How: The Need for a Change in Emphasis for Minority Group Education in Mathematics

Philip J. Davis: Applied Mathematics as Social Contract

Rik Pinxten: World View and Mathematics Teaching.

Jens Hoyrup: On Mathematics and War

George Ghevarghcse Joseph: Eurocentrism in Mathematics: The Historical Dimensions

Sam O. Ale: Mathematics in Rural Societies

Leo Rogers: The Cultural History of Mathematics as a Basis for Philosophies of Mathematics Education

Gilah C. Leder: The Image of Mathematics in Society: A Case Study

Stephen Lerman: A Social View of Mathematics-Implications for Mathematics Education

Chandler Davis: A Hippocratic Oath for Mathematicians?

Eduard Glas: Social Determinants of Mathematical Change: The Ecole Polytechnique 1794-1809

Renate Tobies: The Activities of Felix Klein in the Teaching Commission of the 2nd Chamber of the Prussian Parliament

Emma Castelnuovo: The Teaching of Geometry in Italian High Schools During the Last Two Centuries: Some Aspects Related to Society

Michael H. Price: Some Reflections on the Role of Associations in Mathematics Education

Michael Otte: “Mathematics for All” and the Epistemological Problems of Mathematics Education

Neil Bibby and John Abraham: Social History of Mathematical Controversies: Some Implications for the Curriculum

Bernard Charlot: Institutional and Socio-Economic Context of the “Modem Mathematics” Reform in France

John D. Volmink: Non-School Alternatives in Mathematics Education

Sixto Romero Sanchez: The Necessity of Popularizing Mathematics via Radio Programs

Virginia Thompson: FAMILY MATH: Linking Home and Mathematics

Jeffrey T. Evans: Mathematics for Adults: Community Research and the “Barefoot Statistician”

Guida Maria Correia P. de Abreu and David William Carraher: The Mathematics of Brazilian Sugar Cane Farmers

Wang Chang Pei: Differences in Mathematics Education Between Rural Area and Urban Area in China..

Howard Russell: The Generic Skills Economic Dcvelopmcnt Project: The Mathematical Demands of the Economy

Bemhelm Boo&Bavnbck and Glen Pate: Expanding Risk in Technological Society Through Progress in Mathematical Modeling

Siaka Bamba Kanti: Critical Issues of Mathematics Education in the Ivory Coast

Jens Naumann: Practical Aspects of Basic Mathematics Teaching in Senegalese Villages

Diana C. Rosenberg: Knowledge Transfer From one Culture to Another: HEWET From the Netherlands to Argentina

Munir Fasheh: Mathematics in a Social Context: Math Within Education as Praxis Versus Within Education as Hegemony.

Brian Hudson: Global Perspectives in the Mathematics Classroom

Tadasu Kawaguchi: Mathematical Thoughts Being Latent in Various Artistic Activities

Diana Schultz: PRIMITl-Projects in Real-Life Integrated Mathematics in Teacher Education

Joop van Dormolen: Values of Texts for Learning Mathematics for Real Life

Dianne E. Siemon: How Autonomous is the Teacher of Mathematics?

Paul Ernest: The Impact of Beliefs on the Teaching of Mathematics

Kurt Kreith: The Recruitment and Training of Master Teachers

John Suffolk: The Role of the Mathematics Teacher in Developing Countries

Gloria F. Gilmer: World-wide Developments in Ethnomathematics

Randall Souviney: The Indigenous Mathematics Project: Mathematics Instruction in Papua New Guinnea

Eduardo Sebastiani Ferreira: The Genetic Principle and the Ethnomathematics

Feiyu Cao: School Mathematics Education Should Suit the Needs of Social Development

Fidel Oteiza and Nadja Antonijevic: On the Light of Present and Future Needs, are we Teaching the Proper Mathematics? The Case of Chile

Teresa Smart and Zelda Isaacson: “It was Nice Being Able to Share Ideas”: Women Learning Mathematics.

George Malaty: ICMI and the Crisis of Mathematics Education: What Kind of Reform is Needed?

Anne-Nelly Perret-Clermont and Maria-Luisa Schubauer-Leoni: The Social Construction of Meaning in Math Class Interactions

Timothy E. Erickson: Cooperative Learning in Mathematics: A Way to Engage All Students

Albrecht Abele: Socialization and Learning Mathematics

Analucia Dias Schliemann and Nadja Maria Acioly: Numbers and Operations in Everyday Problem Solving .

Frederick K. S. Leung: The Chinese Culture and Mathematics Learning

Martin R. Hoffman and Arthur B. Powell: Mathematical and Commentary Writing: Vehicles for Student Reflection and Empowerment.

Gila Hanna: Girls and Boys About Equal in Mathematics Achievement in Eighth Grade: Results From Twenty Countries

Erika Kuendiger: Mathematics-A Male Subject?!

Frank J. Swetz: Cross-Cultural Insights Into the Question of Male Superiority in Mathematics: Some Malaysian Findings

Joan Bliss, Ruffina Guttierez, Vasilios Koulaidis, Jon Ogbom, and Haralambos N. Sakonidis: A Cross-Cultural Study of Children’s Ideas About What is ReaZly True in Four Curricula

Gustav Adolf Liircher: Learning Mathematics in a Foreign Language

Ali Rejali: Lack of Interest of Students for Studying Mathematics

Bemd Zimmermann: Mathematics for All and Teaching the Gifted

Josette Adda: The Mathematics Classroom as a Microsociety

Tom Cooper: Negative Power, Hegemony, and the Primary Mathematics Classroom: A Summary

Andrea L. Petitto: The Structure of Mathematical Discourse Among Teachers and Children in Elementary School .

Terry Wood: Whole-Class Interaction as the Negotiation of Social Contexts Within Which to Construct Mathematical Knowledge

Marilyn Frankenstein and Arthur B. Powell: Mathematics Education and Society: Empowering Non-Traditional Students

FranCoise Cerquetti-Aberkane: Teaching Mathematics in Special Classes for Children With Serious Difficulties in France.

Nick Taylor: “Let Them Eat Cake”-Desire, Cognition, and Culture in Mathematics Learning.. . Mathematics Education in Multi-Cultural Contexts

Raymond A. Zepp: New Direction in Research on Language in Mathematics

Ina Kurth: Learning Mathematics in a Foreign Language

Helen Watson: Mathematics Education From a Bicultural Point of View

Norma C. Presmeg: Mathematics Education and Cultural Continuity

Salimata Doumbia: Mathematics in Traditional African Games

Sergio Roberto Nobre: The Ethnomathematics of the Most Popular Lottery in Brazil: The “Animal Lottery” .

Nigel Langdon: Cultural Starting Points

Paul Cobb: Children’s Construction of Arithmetical Knowledge in Social Context

Ema Yackel: The Negotiation of Social Context for Small-Group Problem Solving in Mathematics

Stieg Mellin-Olsen: Creative Uses of Mathematics in Social Contexts

Jean-Franeois Perret: The Meaning of Mathematical Tasks for Pupils and Teachers

Jan Waszkiewicz and Agnieszka Wojciechowska: The Future Cultural Role of Mathematics and its Impact on Math Education

Hearing I: Which and Whose Interests are Served by Mathematics Education?

Hearing 2: How Does Mathematics Education Relate to Destructive Technological Developments?

Hearing 3: Do Mathematics Educators Know What they are Doing?

Hearing 4: What are the Challenges for ICMI in the Next Decade?

Hearing 5: What can we Expect From Ethnomathematics?

Unesco Document Series Nº. 35

Unesco | 1989 | 200 páginas | pdf | 23,61 Mb

on-line: unesdoc.unesco.org

**Table of Contents**

Mathematics, Education, and Society (MES) . . . 1

**Mathematics Education and Culture**. . . . . 1

*. . . . . 1*

**Social History of Mathematics Education**Arpad Szabd: Mathematics and Dialectics.. . . . 2

Ahmed Djebbar: The Content of Mathematics Teaching in North Africa in the Middle Ages and its Role in Present Day Teaching.. . . 3

John Fauvel: Should We Bring Back the Mathematical Practitioner? Learning From the Social History of Mathematics Education in the British Renaissance.. . 4

Gert Schubring: Theoretical Categories for Investigations in the Social History of Mathematics Education and Some Characteristic Patterns . . 6

**Cultural Diversity and Conflicts in Mathematics Education**Terezinha Nunes Carraher: Material Embodiments of Mathematics Models in Everyday Life

Lloyd Dawe: Mathematics Teaching and Learning in Village Schools of the South Pacific

Murad Jurdak: Religion and Language as Cultural Carriers and Barriers in Mathematics Education

Claudia Zaslavsky: Integrating Mathematics With the Study of Cultural Traditions

**The Cultural Role of Mathematics Education in the Future**Leone Burton: Mathematics as a Cultural Experience: Whose Experience?

Desmond Broomes: The Mathematical Demands of a Rural Economy

Kathryn Crawford: Knowing What Versus Knowing How: The Need for a Change in Emphasis for Minority Group Education in Mathematics

Philip J. Davis: Applied Mathematics as Social Contract

Rik Pinxten: World View and Mathematics Teaching.

**Society and Institutionalized Mathematics Education**. 30

**Mathematics as a Cultural Product**.Jens Hoyrup: On Mathematics and War

George Ghevarghcse Joseph: Eurocentrism in Mathematics: The Historical Dimensions

Sam O. Ale: Mathematics in Rural Societies

Leo Rogers: The Cultural History of Mathematics as a Basis for Philosophies of Mathematics Education

*The Image of Mathematics in Society*Gilah C. Leder: The Image of Mathematics in Society: A Case Study

Stephen Lerman: A Social View of Mathematics-Implications for Mathematics Education

Chandler Davis: A Hippocratic Oath for Mathematicians?

**Sociology of Institutionalized Mathematics**.Eduard Glas: Social Determinants of Mathematical Change: The Ecole Polytechnique 1794-1809

Renate Tobies: The Activities of Felix Klein in the Teaching Commission of the 2nd Chamber of the Prussian Parliament

Emma Castelnuovo: The Teaching of Geometry in Italian High Schools During the Last Two Centuries: Some Aspects Related to Society

Michael H. Price: Some Reflections on the Role of Associations in Mathematics Education

*The Mathematics Curriculum as a Social Issue*Michael Otte: “Mathematics for All” and the Epistemological Problems of Mathematics Education

Neil Bibby and John Abraham: Social History of Mathematical Controversies: Some Implications for the Curriculum

Bernard Charlot: Institutional and Socio-Economic Context of the “Modem Mathematics” Reform in France

**Non-School Alternatives for Mathematics Education**John D. Volmink: Non-School Alternatives in Mathematics Education

Sixto Romero Sanchez: The Necessity of Popularizing Mathematics via Radio Programs

Virginia Thompson: FAMILY MATH: Linking Home and Mathematics

Jeffrey T. Evans: Mathematics for Adults: Community Research and the “Barefoot Statistician”

**The Mathematical Demands of the Economy**Guida Maria Correia P. de Abreu and David William Carraher: The Mathematics of Brazilian Sugar Cane Farmers

Wang Chang Pei: Differences in Mathematics Education Between Rural Area and Urban Area in China..

Howard Russell: The Generic Skills Economic Dcvelopmcnt Project: The Mathematical Demands of the Economy

Bemhelm Boo&Bavnbck and Glen Pate: Expanding Risk in Technological Society Through Progress in Mathematical Modeling

**Mathematics Education Under Different Cultural Constraints**Siaka Bamba Kanti: Critical Issues of Mathematics Education in the Ivory Coast

Jens Naumann: Practical Aspects of Basic Mathematics Teaching in Senegalese Villages

Diana C. Rosenberg: Knowledge Transfer From one Culture to Another: HEWET From the Netherlands to Argentina

Munir Fasheh: Mathematics in a Social Context: Math Within Education as Praxis Versus Within Education as Hegemony.

**Society as a Source of Ideas for Mathematics Teaching**Brian Hudson: Global Perspectives in the Mathematics Classroom

Tadasu Kawaguchi: Mathematical Thoughts Being Latent in Various Artistic Activities

Diana Schultz: PRIMITl-Projects in Real-Life Integrated Mathematics in Teacher Education

Joop van Dormolen: Values of Texts for Learning Mathematics for Real Life

**How Autonomous is the Mathematics Teacher?.**Dianne E. Siemon: How Autonomous is the Teacher of Mathematics?

Paul Ernest: The Impact of Beliefs on the Teaching of Mathematics

Kurt Kreith: The Recruitment and Training of Master Teachers

John Suffolk: The Role of the Mathematics Teacher in Developing Countries

**Ethnomathematics and Schools**Gloria F. Gilmer: World-wide Developments in Ethnomathematics

Randall Souviney: The Indigenous Mathematics Project: Mathematics Instruction in Papua New Guinnea

Eduardo Sebastiani Ferreira: The Genetic Principle and the Ethnomathematics

*Social Needs and Reforms in Mathematics Education*Feiyu Cao: School Mathematics Education Should Suit the Needs of Social Development

Fidel Oteiza and Nadja Antonijevic: On the Light of Present and Future Needs, are we Teaching the Proper Mathematics? The Case of Chile

Teresa Smart and Zelda Isaacson: “It was Nice Being Able to Share Ideas”: Women Learning Mathematics.

George Malaty: ICMI and the Crisis of Mathematics Education: What Kind of Reform is Needed?

**Educational Institutions and the Individual Learner**

**Individual and Social Learning Motivations**Anne-Nelly Perret-Clermont and Maria-Luisa Schubauer-Leoni: The Social Construction of Meaning in Math Class Interactions

Timothy E. Erickson: Cooperative Learning in Mathematics: A Way to Engage All Students

Albrecht Abele: Socialization and Learning Mathematics

**Cultural Influences on Learning**Analucia Dias Schliemann and Nadja Maria Acioly: Numbers and Operations in Everyday Problem Solving .

Frederick K. S. Leung: The Chinese Culture and Mathematics Learning

Martin R. Hoffman and Arthur B. Powell: Mathematical and Commentary Writing: Vehicles for Student Reflection and Empowerment.

**Are Girls Underprivileged Around the World?**Gila Hanna: Girls and Boys About Equal in Mathematics Achievement in Eighth Grade: Results From Twenty Countries

Erika Kuendiger: Mathematics-A Male Subject?!

Frank J. Swetz: Cross-Cultural Insights Into the Question of Male Superiority in Mathematics: Some Malaysian Findings

**Societal Determinants of Learning**Joan Bliss, Ruffina Guttierez, Vasilios Koulaidis, Jon Ogbom, and Haralambos N. Sakonidis: A Cross-Cultural Study of Children’s Ideas About What is ReaZly True in Four Curricula

*S*ubjects: Science, Religion, History, and Mathematics

Gustav Adolf Liircher: Learning Mathematics in a Foreign Language

Ali Rejali: Lack of Interest of Students for Studying Mathematics

Bemd Zimmermann: Mathematics for All and Teaching the Gifted

**The Social Arena of the Mathematics Classroom**Josette Adda: The Mathematics Classroom as a Microsociety

Tom Cooper: Negative Power, Hegemony, and the Primary Mathematics Classroom: A Summary

Andrea L. Petitto: The Structure of Mathematical Discourse Among Teachers and Children in Elementary School .

Terry Wood: Whole-Class Interaction as the Negotiation of Social Contexts Within Which to Construct Mathematical Knowledge

*Learning Under Difficult Conditions*Marilyn Frankenstein and Arthur B. Powell: Mathematics Education and Society: Empowering Non-Traditional Students

FranCoise Cerquetti-Aberkane: Teaching Mathematics in Special Classes for Children With Serious Difficulties in France.

Nick Taylor: “Let Them Eat Cake”-Desire, Cognition, and Culture in Mathematics Learning.. . Mathematics Education in Multi-Cultural Contexts

Raymond A. Zepp: New Direction in Research on Language in Mathematics

Ina Kurth: Learning Mathematics in a Foreign Language

Helen Watson: Mathematics Education From a Bicultural Point of View

Norma C. Presmeg: Mathematics Education and Cultural Continuity

*Ethnomathematical Practices*.Salimata Doumbia: Mathematics in Traditional African Games

Sergio Roberto Nobre: The Ethnomathematics of the Most Popular Lottery in Brazil: The “Animal Lottery” .

Nigel Langdon: Cultural Starting Points

**Social Construction of Mathematical Meaning**Paul Cobb: Children’s Construction of Arithmetical Knowledge in Social Context

Ema Yackel: The Negotiation of Social Context for Small-Group Problem Solving in Mathematics

Stieg Mellin-Olsen: Creative Uses of Mathematics in Social Contexts

Jean-Franeois Perret: The Meaning of Mathematical Tasks for Pupils and Teachers

Jan Waszkiewicz and Agnieszka Wojciechowska: The Future Cultural Role of Mathematics and its Impact on Math Education

**Mathematics Education in the Global Village.**

Hearing I: Which and Whose Interests are Served by Mathematics Education?

Hearing 2: How Does Mathematics Education Relate to Destructive Technological Developments?

Hearing 3: Do Mathematics Educators Know What they are Doing?

Hearing 4: What are the Challenges for ICMI in the Next Decade?

Hearing 5: What can we Expect From Ethnomathematics?