European Research in Mathematics Education III


Table of Contents


Maria Alessandra Mariotti
  Introduction to CERME3, the Third Conference of the European society for Research in Mathematics Education

URL html format
    ERME: history, aims and current organization
URL html format

Plenary Panel

The Relationship of Theory and Practice in Mathematics Education



Barbara Jaworski
  Introduction to the panel
URL html format

Barbara Jaworski
  The relationship of theory and practice in mathematics education (Introduction)


pdf format pdf format
Mariolina Bartolini Bussi
  Theory and Practice: An Internet Project about Science and Technology


pdf format pdf format
Christer Bergsten
  Theory—practice relationships in mathematics education


pdf format pdf format
Konrad Krainer
  Theory and Practice: Facilitating teachers’ investigation into their own teaching


pdf format pdf format
Barbara Jaworski
  Conclusive thoughts


pdf format pdf format


Thematic Working Group 1

The Role of Metaphors and Images in Learning and Teaching Mathematics


Bernard Parzysz, Christer Bergsten, José Manuel Matos and Angela Pesci
   The Role of Metaphors and Images in Learning and Teaching Mathematics (Introduction) 
URL html format
pdf format pdf format
Iiris Attorps
   Teacher's images of the "equation" concept

pdf format pdf format
Chris Bills
   Metaphor in young children's mental calculation

pdf format pdf format
Laurie D. Edwards
   The nature of mathematics as viewed from cognitive science

pdf format pdf format
Francesca Ferrara
    Bridging perception and theory: What role can metaphors and imagery play ?

pdf format pdf format
Uri Leron
    Origins of mathematical thinking: a synthesis

pdf format pdf format
Yves Matheron
   Some examples of the relationship between the use of images and metaphors and the production of memory in the teaching and learning of mathematics

pdf format pdf format
Stavros Orfanos and Fragiskos Kalavassis
   The need of teaching the limits and the possibilities of the representation systems
that offer the surrounding support for comprehending the concept of fraction


pdf format pdf format
Bernard Parzysz
    Pre-service elementary teachers and the fundamental ambiguity of diagrams in geometry problem-solving

pdf format pdf format
Despina Potari,  Kleopatra Diakogiorgi and Helen Zanni
    Similes as a tool for exploring children's thinking about geometrical shape

pdf format pdf format
Maryvonne Priolet and Jean-Claude Regnier
    Conversion of registers at primary school : the learner's or the teacher's responsibility ?


pdf format pdf format
Elisabetta Robotti
    Functions of natural language in the resolution of a plane geometry problem

pdf format pdf format
Roberto Tortora and Donatella Iannece
    The evolution of graphic representations in a Vygotskijan perspective

pdf format pdf format


Thematic Working Group2

Affect and Mathematical Thinking


Jeff Evans, Markku Hannula, George Philippou and Rosetta Zan
    Affect and mathematical thinking (Introduction)
URL html format
pdf format pdf format
Charalambos Charalambous and George Philippou
    Enhancing preservice teachers’ efficacy beliefs in mathematics

pdf format pdf format
Jeff Evans
    Methods and Findings in Research on Affect and Emotion in Mathematics Education

pdf format pdf format
Markku Hannula
    Affect and motivation: narratives with an attitude

pdf format pdf format
Peter Nelmes
   Developing a conceptual framework for the role of the emotions in the language of teaching and learning

pdf format pdf format
Maria Nicolaidou and George Philippou
   Attitudes towards mathematics, self-efficacy and achievement in problem-solving

pdf format pdf format
Erkki Pehkonen and Anu Pietilä
    On Relationships between Beliefs and Knowledge in Mathematics Education

pdf format pdf format
Päivi Perkkilä
    Primary School Teachers’ Mathematics Beliefs and Teaching Practices

pdf format pdf format
Anu Pietilä
    Fulfilling the Criteria for a Good Mathematics Teacher - the case of one student

pdf format pdf format
Wolfgang Schlöglmann
    Can neuroscience help us better to understand affective reactions in mathematics learning?

pdf format pdf format
Rosetta Zan and Pietro Di Martino
    The role of affect in the research on affect: the case of 'attitude'

pdf format pdf format


Thematic Working Group 3

Building Structures in Mathematical Knowledge


Milan Hejny, Graham. H. Littler, Pearla Nesher and Melissa Rodd
    Building structures in mathematical knowledge (Introduction)
URL html format
pdf format pdf format
Rita Borromeo Ferri
    Mathematical thinking styles — an empirical study

pdf format pdf format
Constantinos Christou, Andreas Demetriou and Demetra Pitta-Pantazi
    The specialized structural systems and mathematical performance


pdf format pdf format
Milan Hejny
    Understanding and structure


pdf format pdf format
Darina Jirotková and Graham. H. Littler
    Insights into pupil’s structures of mathematical thinking through oral communication


pdf format pdf format
Hartwig Meissner
    Constructing mathematical concepts with calculators or computers


pdf format pdf format
Cécile Ouvrier-Buffet
    Definition construction and concept formation


pdf format pdf format
Areti Panaoura, George Philippou and Constantinos Christou
    Young pupils´ metacognitive ability in mathematics


pdf format pdf format
Dvora Peretz, M.Gorodetsky and T.Eisenberg
    A closer look into cognitive abstraction processes in the learning of abstract mathematics


pdf format pdf format
Marios Pittalis, Constantinos Christou and Eleni Papageorgiou
    Students’ ability in solving proportional problems

pdf format pdf format
Melissa Rodd
    Emotion, intention and action for vital mathematical embodiment


pdf format pdf format
Mihaela Singer
    How does efficient learning occur — a hypothesis

pdf format pdf format
Nada Stehlikova
    Building a finite arithmetic structure: interpretation in terms of abstraction in context


pdf format pdf format


Thematic Working Group 4

Argumentation and Proof


Rudolf vom Hofe, Christine Knipping, Maria AlessandraMariotti and Bettina Pedemonte
Argumentation and proof (Introduction)

URL html format
pdf format pdf format
Werner Blum
On the Role of "Grundvorstellungen" for reality-related proofs


pdf format pdf format
Nadia Douek
From oral to written texts in grade I and the approach to argumentation: the role of social interaction and task context


pdf format pdf format
Viviane Durand-Guerrier
Logic and mathematical reasoning from a didactical point of view


pdf format pdf format
Aiso Heinze and Kristina Reiss
Reasoning and proof: methodological knowledge as a component of proof competence


pdf format pdf format
Christine Knipping
Argumentation structures in classroom proving situations


pdf format pdf format
Dietmar Küchemann and Celia Hoyles
The quality of students' explanations on a non-standard geometry item


pdf format pdf format
Christina Misailidou and Julian Williams
Children's arguments in discussion of a "difficult" ratioproblem: the role of a pistorial representation


pdf format pdf format
Kirsti Nordström
Swedish university entrants' experiences about and attitudes to proof and proving


pdf format pdf format
Bettina Pedemonte
What kind of proof can be constructed following an abductive argumentation?


pdf format pdf format
David A. Reid
Forms and uses of abduction


pdf format pdf format
Aldo Scimone
An educational experimentation on Goldbach's conjecture


pdf format pdf format
Rudolf vom Hofe
Epistemological problems with the limit concept - a case study on communication and argumentation within a computer-based learning environment


pdf format pdf format
Oleksiy Yevdokimov
The place and significance of the problems for proof in learning mathematics


pdf format pdf format


Thematic Working Group 5

Stochastic Thinking


Dave Pratt
    Stochastic thinking (Introduction)

URL html format
pdf format pdf format
Carmen Batanero
    Curricular issues and teacher education (Introduction to Theme 1)

URL html format
pdf format pdf format
Dave Pratt
    Computer based tools (Introduction to Theme 2)

URL html format
pdf format pdf format
Rofl Biehler
    Statistical thinking (Introduction to Theme 3)

URL html format
pdf format pdf format
Michel Henry
    Probabilistic thinking (Introduction to Theme 4)

URL html format
pdf format pdf format
Dor Abrahamson and Uriel Wilensky
    The quest of the bell curve: a constructionist designer's advocacy of learning through designing


pdf format pdf format
J. Richard Alldredge
    Association of course performance with attitudes and beliefs: an analysis by gender and instructional software environment


pdf format pdf format
Pilar Azcárate, Anna Serradó and José Mª Cardeñoso
    "Hazard's treatment" in secondary school


pdf format pdf format
Carmen Batanero, Belén Cobo Merino and Carmen Díaz
    Assessing secondary school student's understanding of averages


pdf format pdf format
Herman Callaert
    In search of the specificity and the identifiability of stochastic thinking and reasoning


pdf format pdf format
M.J.Cañizares, C.Batanero, L.Serrano and J.J.Ortiz
    Children's understanding of fair games


pdf format pdf format
Carolina Carvalho
    Solving strategies in statistical tasks


pdf format pdf format
Celi Aparecida Espasandin Lopes
    Teachers´development and developing children's stochastic knowlegde


pdf format pdf format
Zaven A. Karian
    A new approach to probability and statistics instruction


pdf format pdf format
Maria Meletiou-Mavrotheris
    On the formalist view of mathematics: impact on statistics instruction and learning


pdf format pdf format
Carlos Monteiro and Janet Ainley
    Developing critical sense in graphing


pdf format pdf format
Per Nilsson
    Experimentation as a tool for discovering mathematical concepts of probability


pdf format pdf format
Jenny Pange
    Literature survey and children's perception on risk


pdf format pdf format
Efi Paparistodemou and Richard Noss
    Fairness in a spatial computer environment


pdf format pdf format
Irene Pitarch Andrés, Orús Báguena Pilar
    Logic and treatment of data in secondary


pdf format pdf format
Dave Pratt
    The emergence of probabilistic knowledge


pdf format pdf format
Jenni Way
    The development of young children's notions of probability


pdf format pdf format


Thematic Working Group 6

Algebraic Thinking


Abraham Arcavi, Luciana Bazzini, Catherine Sackur and Pessia Tsamir
    Algebraic thinking (Introduction)
URL html format
pdf format pdf format
Janet Ainley, Liz Bills and Kirsty Wilson
    Designing tasks for purposeful algebra

pdf format pdf format
Giorgio T. Bagni
    Functions, processes, properties, objects: a case study

pdf format pdf format
Caroline Bardini
    The construction of meaning of algebraic symbolism at different school levels. An epistemological and didactical approach

pdf format pdf format
Luciana Bazzini and Pessia Tsamir
    Connections between theory and research findings: the case of inequalities

pdf format pdf format
Pilar Bolea, Marianna Bosch and Josep Gascón
    Why is modelling not included in the teaching of algebra at secondary school?

pdf format pdf format
Sonia P. Coelho, Silvia D. A. Machado, M. Cristina S. A. Maranhão
    What algebra should be taught in teachers' courses?

pdf format pdf format
Jean-Philippe Drouhard and Mabel Panizza
    What do the students need to know, in order to be able to actually do algebra? The three orders of knowledge

pdf format pdf format
Paolo Guidoni
    Explaining vs. understanding dynamics: The case of elementary algebraic thinking

pdf format pdf format
Maureen Hoch
    Structure sense

pdf format pdf format
Teresia Jakobsson-Åhl
    Analyzing algebraic thinking in written solutions


pdf format pdf format
Jarmila Novotná, Sara Hershkovitz and Pearla Nesher
    Cognitive factors affecting problem solving at the pre-algebraic level

pdf format pdf format
Constanta Olteanu, Barbro Grevholm and Torgny Ottosson
    Algebra in upper secondary school: a study of teaches teaching and student learning

pdf format pdf format
Catherine Sackur, Maryse Maurel and Teresa Assude
    Are my students actually doing mathematics?

pdf format pdf format
Ilya Sinitsky
    Pre-algebra combinatorial problems and algorithms in primary school mathematics

pdf format pdf format
Anna S. Steinweg
    `...the partner of 4 is plus 10 of this partner' - Young children make sense of tasks on functional relations

pdf format pdf format
Michal Tabach and Alex Friedlander
    The role of context in learning beginning algebra

pdf format pdf format
Jukka Törnroos
    Finns and algebra in TIMSS 1999

pdf format pdf format


Thematic Working Group 7

Geometrical Thinking


Jean-Luc Dorier, Ángel Gutiérrez and Rudolf Strässer
Geometrical thinking (Introduction)

URL html format
pdf format pdf format
Claudia Margarita Acuña-Soto
The role of slope and y-intercept from the students perspective


pdf format pdf format
Maria Bako
Different projecting methods in teaching spatial geometry


pdf format pdf format
Nitsa Cohen
Preference of directions in 3-D space


pdf format pdf format
Ghislaine Gueudet-Chartier
Geometric thinking in a n-space


pdf format pdf format
Eszter Herendiné Kónya
The concept of orientation


pdf format pdf format
Catherine Houdement, Alain Kuzniak
Elementary geometry split into different geometrical paradigms


pdf format pdf format
Frantisek Kurina
Geometry - the Resource of Opportunities


pdf format pdf format
Nicoletta Lanciano
The processes and difficulties of teachers trainees in the construction of concepts, and related didactic material, for teaching geometry


pdf format pdf format
Victor Larios-Osorio
Geometrical rigidity: an obstacle in using dynamic geometry software in a geometry course


pdf format pdf format
Marie-Jeanne Perrin-Glorian
Studying geometric figures at primary schools - From surfaces to points


pdf format pdf format
Magdalena Prokopová
Students' conception of a point: a comparison of phylogenesis and ontogenesis


pdf format pdf format
Christiane Rolet
Teaching and learning plane geometry in primary school: acquisition of a first geometrical thinking


pdf format pdf format
Paola Vighi
The triangle as a mathematical object


pdf format pdf format


Thematic Group 8

Social Interactions in Mathematical Learning Situations


Alison Price
    Social interactions in mathematical learning situations (Introduction)

URL html format
pdf format pdf format
Andreas Andersson
    The discourse of engineering students constructing concept maps in Linear Algebra


pdf format pdf format
Richard Barwell
    Rethorical devices in Mathematics classroom interaction: solving a word problem


pdf format pdf format
Michele Cerulli
    Instruments of semiotic mediation in algebra, an example


pdf format pdf format
Marei Fetzer
    Interaction in collective writing processes and early mathematical learning


pdf format pdf format
Paola Gallopin
    A mathematical project realised in a non formal environment: learning as a social event


pdf format pdf format
Bracha Kramarskiand Zemira Mevarech
    Metacognitive discourse in mathematics classrooms


pdf format pdf format
Michela Maschietto
    The use of perpectographs in primary school: artefacts, instruments and semiotic mediation


pdf format pdf format
Alison Price
    Establishing a mathematical community of practice in the primary classroom


pdf format pdf format
Christof Schreiber
    Externalization and inscription in a chat-environment


pdf format pdf format
Ralph Schwarzkopf
    Analysing processes of solving word problems in mathematical lessons interaction: framing and reference context between real world and mathematics


pdf format pdf format


Thematic Working Group 9:

Tools and Technologies in Mathematical Didactics


Keith Jones and Jean-Baptiste Lagrange
    Tools and technologies in mathematical didactics (Introduction)

URL html format
pdf format pdf format
Ferdinando Arzarello and Domingo Paola
    Mathematical objects and proofs within technological environments: an embodied analysis


pdf format pdf format
Giampaolo Chiappini and Maria Reggiani
    Toward a didactic practice based on mathematics laboratory activities


pdf format pdf format
Francisco Delgado and Rubén D. Santiago
    Problem-based learning in sophomore and freshmen engineering students: a four year follow-up


pdf format pdf format
Rossana Falcade
    Instruments of semiotic mediation in cabri for the notion of function


pdf format pdf format
Franco Favilli, Laura Maffei and Irene Venturi
    Traditional sand drawings: proposal for a didactical software


pdf format pdf format
Victor Giraldo and Luiz Mariano Carvalho
    Local straightness and theoretical-computational conflicts: computational tools on the development of the concept image of derivative and limit


pdf format pdf format
Mariam Haspekian
    Between arithmetic and algebra: a space for the spreadsheet? Contribution to an instrumental approach


pdf format pdf format
Rosalyn Hyde and Alison Clark-Jeavons
    MathsALIVE - Developing a technologically-rich learning environment for secondary mathematics


pdf format pdf format
Keith Jones
    Classroom implications of research on dynamic geometry software


pdf format pdf format
Jean-Baptiste Lagrange
    Analysing the impact of ICT on mathematics teaching practices


pdf format pdf format
Daniela Leder
    An experience of the construction of particular didactical tools to learn multiplication


pdf format pdf format
Enrica Lemut
    Software environments supporting and enhancing systemic thinking


pdf format pdf format
Bibi Lins
    Actual meanings, possible uses: secondary mathematics teachers and Cabri-géomètre


pdf format pdf format
Matthias Ludwig, Hans-Georg Weigand, Wolfgang Weigel and Gerald Wittmann
    MaDiN - a framework for internet-supported learning in mathematics teacher education


pdf format pdf format
David Miller, Derek Glover and Doug Averis
    Exposure - the introduction of interactive whiteboard technology to secondary school mathematics teachers in training


pdf format pdf format
Ornella Robutti
    Real and virtual calculator: from measurements to definite integral


pdf format pdf format
Varda Talmon and Michal Yerushalmy
    Dynamic behavior in dynamic geometry environments: some questions of order


pdf format pdf format
Menekse Seden Tapan
    Integration of ICT in the teaching of mathematics in situations for treatment of difficulties in proving


pdf format pdf format
Michal Yerushalmy and Daniel Chazan
    Analyzing changes in student performance: what is the role of technology?


pdf format pdf format
Luciana Zuccheri
    Problems arising in teachers' education in the use of didactical tools


pdf format pdf format


Thematic Working Group 10

Teaching and Learning Mathematics in Multicultural Classrooms


Núria Gorgorió, Bill Barton and Philip Clarkson
    Teaching and learning mathematics in multicultural classrooms (Introduction)

URL html format
pdf format pdf format
Helle Alrø, Ole Skovsmose and Paola Valero
    Communication, conflict and mathematics education in the multicultural classroom


pdf format pdf format
Bill Barton and Pip Neville-Barton
    Investigating the relationship between English language and mathematical learning


pdf format pdf format
Jeff Bezemer
    Dealing with multilingualism in the arithmetic class. An ethnographic case study fo a Dutch primary school


pdf format pdf format
Philip C. Clarkson
    Australian bilingual students and mathematics


pdf format pdf format
Ed Elbers and Mariëtte de Haan
    The construction of word meaning in a multicultural classroom. Talk and collaboration during mathematics lessons


pdf format pdf format
Franco Favilli, M. Luisa Oliveras and Margarida César
    Maths teachers in multicultural classes: finding from a southern European project


pdf format pdf format
Núria Gorgorió and Núria Planas
    Transitions: from background to foreground


pdf format pdf format
Gabriele Kaiser
    Learning mathematics within the context of linguistic and cultural diversity - an empirical study


pdf format pdf format
Carlo Marchini
    Different cultures of the youngest students about space (and infinity)


pdf format pdf format
Darlinda Moreira
    Portuguese immigrant children and mathematics education


pdf format pdf format
Jarmila Novotná, Hana Moraová, and Marie Hofmannová
    Using original textbooks when teaching mathematics in a foreign language


pdf format pdf format
Daniel Clark Orey
    The algorithm collection project (ACP): the ethnomathematics of basic number sense acquisition across cultures


pdf format pdf format
Sarah O'Toole and Guida de Abreu
    Investigating parent’s explicit and implicit home numeracy practices in multiethnic contexts


pdf format pdf format
Filippo Spagnolo
    Natural language, history and the interpretation of process of learning/teaching


pdf format pdf format


Thematic Working Group 11

Inter-relating Theory and Practice in Mathematics Teacher Education


Barbara Jaworski, Lurdes Serrazina, Andrea Peter Koop and Konrad Krainer
    Inter-relating theory and practice in mathametics teacher education (Introduction)

URL html format
pdf format pdf format
Lucilla Cannizzaro and Marta Menghini
    Geometric figures from middle school to secondary school: mediating theory and practice


pdf format pdf format
Mercedes Garcia, Victoria Sanchez, Isabel Escudero and Salvador Llinares
    The dialectic relationship between theory and practice in mathematics teacher education


pdf format pdf format
Rossella Garuti
    From research in mathematics education to teachers' training through internet


pdf format pdf format
Lucia Grugnetti and Angela Rizza
    A lengthy process for the establishment of the concept of limit


pdf format pdf format
Alena Hospesova and Marie Ticha
    Self-reflection and improving mathematics classroom culture


pdf format pdf format
Barbara Jaworski
    Inquiry as a pervasive pedagogic process in mathematics education development


pdf format pdf format
Jana Kratochvilova and Ewa Swoboda
    Aspects affecting pupil’s thinking in mathematics during interaction researcher-pupil


pdf format pdf format
Roza Leikin and Sarga Dinur
    Patterns of flexibility: teachers’ behaviour in mathematical discussion


pdf format pdf format
Joao da Ponte, Lurdes Serrazina, Olivia Sousa and Helena Fonseca
    Professionals investigate their own practice


pdf format pdf format
Petra Scherer and Heinz
    The professionalisation of mathematics teachers' knowledge - Teachers commonly reflect feedbacks to their own instruction activity


pdf format pdf format
Bernd Wollring
    Linking pre-service and in-service teacher training: co-operative design of working environments for primary mathematics


pdf format pdf format


Thematic Working Group 12

From a Study of Teaching Practices to Issues in Teacher Education

Barbro Grevholm, Ruhama Even, Juliana Szendrei and José Carillo
   From a study of teaching practices to issues in teacher education (Introduction)
URL html format
pdf format pdf format
Jordi Deulofeu and Lourdes Figueiras
    Inheritance problems in arabic algebra treatises. Can they stimulate future teachers' beliefs about mathematics?

pdf format pdf format
Ruhama Even and Tali Wallach
    Student assessment: issues for teacher education

pdf format pdf format
Hagar Gal
    Improving teachers' ability to cope with Problematic learning situations - The case of Eti

pdf format pdf format
Maria Goulding
   How do prospective primary teachers assess their own mathematical knowledge?

pdf format pdf format
Jeremy Hodgen
   Reflection, identity and belief change in primary mathematics

pdf format pdf format
M. Kaldrimidou, H. Sakonidis, M. Tzekaki
   Teachers' interventions in students' mathematical work: a classification

pdf format pdf format
Boris Koichu, Abraham Berman and Michael Moore
   Changing teachers' beliefs about students' heuristics in problem solving

pdf format pdf format
Nicolina A. Malara
   Future middle school teachers' beliefs about Algebra: Incidence of the cultural background

pdf format pdf format
Daniela Medici and Maria Gabriella Rinaldi
   A teaching resource for teacher training

pdf format pdf format
Stephanie Prestage and Pat Perks
   Towards a pedagogy of teacher education: from a model for teacher transformation

pdf format pdf format
Laetitia Ravel
   Setting a new curriculum in a classroom: variability and space of freedom for a teacher

pdf format pdf format
Tim Rowland, Anne Thwaites and Peter Huckstep
   Elementary teachers' mathematics knowledge and choice of examples

pdf format pdf format
Leonor Santos and João Pedro da Ponte
   An experience in distance in-service teacher education

pdf format pdf format


 









This page have been mirrored by Hamlet for ErmeWeb