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 |
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ERME: history, aims and current organization
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Plenary Panel
The Relationship of Theory and Practice in Mathematics Education
| Barbara Jaworski Introduction to the panel |
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| Barbara Jaworski The relationship of theory and practice in mathematics education (Introduction) |
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| Mariolina Bartolini Bussi Theory and Practice: An Internet Project about Science and Technology |
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| Christer Bergsten Theory—practice relationships in mathematics education |
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| Konrad Krainer Theory and Practice: Facilitating teachers’ investigation into their own teaching |
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| Barbara Jaworski Conclusive thoughts |
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) |
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| Iiris Attorps Teacher's images of the "equation" concept |
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| Chris Bills Metaphor in young children's mental calculation |
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| Laurie D. Edwards The nature of mathematics as viewed from cognitive science |
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| Francesca Ferrara Bridging perception and theory: What role can metaphors and imagery play ? |
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| Uri Leron Origins of mathematical thinking: a synthesis |
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| 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 |
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| 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 |
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| Bernard Parzysz Pre-service elementary teachers and the fundamental ambiguity of diagrams in geometry problem-solving |
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| Despina Potari, Kleopatra Diakogiorgi
and Helen Zanni Similes as a tool for exploring children's thinking about geometrical shape |
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| Maryvonne Priolet and Jean-Claude Regnier
Conversion of registers at primary school : the learner's or the teacher's responsibility ? |
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| Elisabetta Robotti Functions of natural language in the resolution of a plane geometry problem |
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| Roberto Tortora and Donatella Iannece
The evolution of graphic representations in a Vygotskijan perspective |
Thematic Working Group2
Affect and Mathematical Thinking
| Jeff Evans, Markku Hannula, George Philippou
and Rosetta Zan Affect and mathematical thinking (Introduction) |
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| Charalambos Charalambous and George Philippou
Enhancing preservice teachers’ efficacy beliefs in mathematics |
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| Jeff Evans Methods and Findings in Research on Affect and Emotion in Mathematics Education |
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| Markku Hannula Affect and motivation: narratives with an attitude |
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| Peter Nelmes Developing a conceptual framework for the role of the emotions in the language of teaching and learning |
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| Maria Nicolaidou and George Philippou Attitudes towards mathematics, self-efficacy and achievement in problem-solving |
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| Erkki Pehkonen and Anu Pietilä On Relationships between Beliefs and Knowledge in Mathematics Education |
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| Päivi Perkkilä Primary School Teachers’ Mathematics Beliefs and Teaching Practices |
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| Anu Pietilä Fulfilling the Criteria for a Good Mathematics Teacher - the case of one student |
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| Wolfgang Schlöglmann Can neuroscience help us better to understand affective reactions in mathematics learning? |
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| Rosetta Zan and Pietro Di Martino The role of affect in the research on affect: the case of 'attitude' |
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) |
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| Rita Borromeo Ferri Mathematical thinking styles — an empirical study |
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| Constantinos Christou, Andreas
Demetriou and Demetra Pitta-Pantazi The specialized structural systems and mathematical performance |
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| Milan Hejny Understanding and structure |
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| Darina Jirotková and
Graham. H. Littler Insights into pupil’s structures of mathematical thinking through oral communication |
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| Hartwig Meissner Constructing mathematical concepts with calculators or computers |
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| Cécile Ouvrier-Buffet Definition construction and concept formation |
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| Areti Panaoura, George Philippou
and Constantinos Christou Young pupils´ metacognitive ability in mathematics |
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| Dvora Peretz, M.Gorodetsky
and T.Eisenberg A closer look into cognitive abstraction processes in the learning of abstract mathematics |
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| Marios Pittalis, Constantinos
Christou and Eleni Papageorgiou Students’ ability in solving proportional problems |
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| Melissa Rodd Emotion, intention and action for vital mathematical embodiment |
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| Mihaela Singer How does efficient learning occur — a hypothesis |
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| Nada Stehlikova Building a finite arithmetic structure: interpretation in terms of abstraction in context |
Thematic Working Group 4
Argumentation and Proof
| Rudolf vom Hofe, Christine
Knipping, Maria AlessandraMariotti and Bettina Pedemonte Argumentation and proof (Introduction) |
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| Werner Blum On the Role of "Grundvorstellungen" for reality-related proofs |
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| Nadia Douek From oral to written texts in grade I and the approach to argumentation: the role of social interaction and task context |
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| Viviane Durand-Guerrier
Logic and mathematical reasoning from a didactical point of view |
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| Aiso Heinze and Kristina Reiss Reasoning and proof: methodological knowledge as a component of proof competence |
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| Christine Knipping Argumentation structures in classroom proving situations |
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| Dietmar Küchemann and
Celia Hoyles The quality of students' explanations on a non-standard geometry item |
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| Christina Misailidou and Julian
Williams Children's arguments in discussion of a "difficult" ratioproblem: the role of a pistorial representation |
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| Kirsti Nordström Swedish university entrants' experiences about and attitudes to proof and proving |
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| Bettina Pedemonte What kind of proof can be constructed following an abductive argumentation? |
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| David A. Reid Forms and uses of abduction |
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| Aldo Scimone An educational experimentation on Goldbach's conjecture |
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| Rudolf vom Hofe Epistemological problems with the limit concept - a case study on communication and argumentation within a computer-based learning environment |
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| Oleksiy Yevdokimov The place and significance of the problems for proof in learning mathematics |
Thematic Working Group 5
Stochastic Thinking
| Dave Pratt Stochastic thinking (Introduction) |
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| Carmen Batanero Curricular issues and teacher education (Introduction to Theme 1) |
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| Dave Pratt Computer based tools (Introduction to Theme 2) |
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| Rofl Biehler Statistical thinking (Introduction to Theme 3) |
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| Michel Henry Probabilistic thinking (Introduction to Theme 4) |
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| Dor Abrahamson and Uriel Wilensky
The quest of the bell curve: a constructionist designer's advocacy of learning through designing |
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| J. Richard Alldredge Association of course performance with attitudes and beliefs: an analysis by gender and instructional software environment |
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| Pilar Azcárate, Anna
Serradó and José Mª Cardeñoso "Hazard's treatment" in secondary school |
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| Carmen Batanero, Belén
Cobo Merino and Carmen Díaz Assessing secondary school student's understanding of averages |
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| Herman Callaert In search of the specificity and the identifiability of stochastic thinking and reasoning |
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| M.J.Cañizares, C.Batanero,
L.Serrano and J.J.Ortiz Children's understanding of fair games |
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| Carolina Carvalho Solving strategies in statistical tasks |
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| Celi Aparecida Espasandin
Lopes Teachers´development and developing children's stochastic knowlegde |
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| Zaven A. Karian A new approach to probability and statistics instruction |
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| Maria Meletiou-Mavrotheris
On the formalist view of mathematics: impact on statistics instruction and learning |
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| Carlos Monteiro and Janet
Ainley Developing critical sense in graphing |
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| Per Nilsson Experimentation as a tool for discovering mathematical concepts of probability |
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| Jenny Pange Literature survey and children's perception on risk |
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| Efi Paparistodemou and Richard
Noss Fairness in a spatial computer environment |
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| Irene Pitarch Andrés,
Orús Báguena Pilar Logic and treatment of data in secondary |
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| Dave Pratt The emergence of probabilistic knowledge |
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| Jenni Way The development of young children's notions of probability |
Thematic Working Group 6
Algebraic Thinking
| Abraham Arcavi, Luciana Bazzini, Catherine
Sackur and Pessia Tsamir Algebraic thinking (Introduction) |
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| Janet Ainley, Liz Bills and Kirsty Wilson Designing tasks for purposeful algebra |
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| Giorgio T. Bagni Functions, processes, properties, objects: a case study |
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| Caroline Bardini The construction of meaning of algebraic symbolism at different school levels. An epistemological and didactical approach |
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| Luciana Bazzini and Pessia Tsamir Connections between theory and research findings: the case of inequalities |
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| Pilar Bolea, Marianna Bosch and Josep Gascón Why is modelling not included in the teaching of algebra at secondary school? |
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| Sonia P. Coelho, Silvia D. A. Machado, M. Cristina
S. A. Maranhão What algebra should be taught in teachers' courses? |
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| 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 |
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| Paolo Guidoni Explaining vs. understanding dynamics: The case of elementary algebraic thinking |
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| Maureen Hoch Structure sense |
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| Teresia Jakobsson-Åhl Analyzing algebraic thinking in written solutions |
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| Jarmila Novotná, Sara Hershkovitz and Pearla
Nesher Cognitive factors affecting problem solving at the pre-algebraic level |
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| Constanta Olteanu, Barbro Grevholm and Torgny
Ottosson Algebra in upper secondary school: a study of teaches teaching and student learning |
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| Catherine Sackur, Maryse Maurel and Teresa Assude Are my students actually doing mathematics? |
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| Ilya Sinitsky Pre-algebra combinatorial problems and algorithms in primary school mathematics |
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| Anna S. Steinweg `...the partner of 4 is plus 10 of this partner' - Young children make sense of tasks on functional relations |
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| Michal Tabach and Alex Friedlander The role of context in learning beginning algebra |
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| Jukka Törnroos Finns and algebra in TIMSS 1999 |
Thematic Working Group 7
Geometrical Thinking
| Jean-Luc Dorier, Ángel
Gutiérrez and Rudolf Strässer Geometrical thinking (Introduction) |
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| Claudia Margarita Acuña-Soto The role of slope and y-intercept from the students perspective |
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| Maria Bako Different projecting methods in teaching spatial geometry |
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| Nitsa Cohen Preference of directions in 3-D space |
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| Ghislaine Gueudet-Chartier
Geometric thinking in a n-space |
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| Eszter Herendiné Kónya
The concept of orientation |
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| Catherine Houdement, Alain
Kuzniak Elementary geometry split into different geometrical paradigms |
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| Frantisek Kurina Geometry - the Resource of Opportunities |
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| Nicoletta Lanciano The processes and difficulties of teachers trainees in the construction of concepts, and related didactic material, for teaching geometry |
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| Victor Larios-Osorio Geometrical rigidity: an obstacle in using dynamic geometry software in a geometry course |
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| Marie-Jeanne Perrin-Glorian
Studying geometric figures at primary schools - From surfaces to points |
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| Magdalena Prokopová
Students' conception of a point: a comparison of phylogenesis and ontogenesis |
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| Christiane Rolet Teaching and learning plane geometry in primary school: acquisition of a first geometrical thinking |
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| Paola Vighi The triangle as a mathematical object |
Thematic Group 8
Social Interactions in Mathematical Learning Situations
| Alison Price Social interactions in mathematical learning situations (Introduction) |
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| Andreas Andersson The discourse of engineering students constructing concept maps in Linear Algebra |
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| Richard Barwell Rethorical devices in Mathematics classroom interaction: solving a word problem |
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| Michele Cerulli Instruments of semiotic mediation in algebra, an example |
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| Marei Fetzer Interaction in collective writing processes and early mathematical learning |
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| Paola Gallopin A mathematical project realised in a non formal environment: learning as a social event |
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| Bracha Kramarskiand Zemira
Mevarech Metacognitive discourse in mathematics classrooms |
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| Michela Maschietto The use of perpectographs in primary school: artefacts, instruments and semiotic mediation |
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| Alison Price Establishing a mathematical community of practice in the primary classroom |
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| Christof Schreiber Externalization and inscription in a chat-environment |
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| Ralph Schwarzkopf Analysing processes of solving word problems in mathematical lessons interaction: framing and reference context between real world and mathematics |
Thematic Working Group 9:
Tools and Technologies in Mathematical Didactics
| Keith Jones and Jean-Baptiste
Lagrange Tools and technologies in mathematical didactics (Introduction) |
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| Ferdinando Arzarello and
Domingo Paola Mathematical objects and proofs within technological environments: an embodied analysis |
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| Giampaolo Chiappini and Maria
Reggiani Toward a didactic practice based on mathematics laboratory activities |
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| Francisco Delgado and Rubén
D. Santiago Problem-based learning in sophomore and freshmen engineering students: a four year follow-up |
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| Rossana Falcade Instruments of semiotic mediation in cabri for the notion of function |
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| Franco Favilli, Laura Maffei
and Irene Venturi Traditional sand drawings: proposal for a didactical software |
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| 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 |
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| Mariam Haspekian Between arithmetic and algebra: a space for the spreadsheet? Contribution to an instrumental approach |
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| Rosalyn Hyde and Alison Clark-Jeavons
MathsALIVE - Developing a technologically-rich learning environment for secondary mathematics |
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| Keith Jones Classroom implications of research on dynamic geometry software |
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| Jean-Baptiste Lagrange Analysing the impact of ICT on mathematics teaching practices |
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| Daniela Leder An experience of the construction of particular didactical tools to learn multiplication |
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| Enrica Lemut Software environments supporting and enhancing systemic thinking |
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| Bibi Lins Actual meanings, possible uses: secondary mathematics teachers and Cabri-géomètre |
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| Matthias Ludwig, Hans-Georg
Weigand, Wolfgang Weigel and Gerald Wittmann MaDiN - a framework for internet-supported learning in mathematics teacher education |
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| David Miller, Derek Glover
and Doug Averis Exposure - the introduction of interactive whiteboard technology to secondary school mathematics teachers in training |
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| Ornella Robutti Real and virtual calculator: from measurements to definite integral |
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| Varda Talmon and Michal Yerushalmy
Dynamic behavior in dynamic geometry environments: some questions of order |
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| Menekse Seden Tapan Integration of ICT in the teaching of mathematics in situations for treatment of difficulties in proving |
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| Michal Yerushalmy and Daniel
Chazan Analyzing changes in student performance: what is the role of technology? |
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| Luciana Zuccheri Problems arising in teachers' education in the use of didactical tools |
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) |
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| Helle Alrø, Ole Skovsmose
and Paola Valero Communication, conflict and mathematics education in the multicultural classroom |
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| Bill Barton and Pip Neville-Barton
Investigating the relationship between English language and mathematical learning |
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| Jeff Bezemer Dealing with multilingualism in the arithmetic class. An ethnographic case study fo a Dutch primary school |
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| Philip C. Clarkson Australian bilingual students and mathematics |
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| Ed Elbers and Mariëtte
de Haan The construction of word meaning in a multicultural classroom. Talk and collaboration during mathematics lessons |
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| Franco Favilli, M. Luisa Oliveras
and Margarida César Maths teachers in multicultural classes: finding from a southern European project |
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| Núria Gorgorió
and Núria Planas Transitions: from background to foreground |
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| Gabriele Kaiser Learning mathematics within the context of linguistic and cultural diversity - an empirical study |
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| Carlo Marchini Different cultures of the youngest students about space (and infinity) |
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| Darlinda Moreira Portuguese immigrant children and mathematics education |
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| Jarmila Novotná, Hana
Moraová, and Marie Hofmannová Using original textbooks when teaching mathematics in a foreign language |
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| Daniel Clark Orey The algorithm collection project (ACP): the ethnomathematics of basic number sense acquisition across cultures |
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| Sarah O'Toole and Guida de
Abreu Investigating parent’s explicit and implicit home numeracy practices in multiethnic contexts |
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| Filippo Spagnolo Natural language, history and the interpretation of process of learning/teaching |
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) |
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| Lucilla Cannizzaro and Marta
Menghini Geometric figures from middle school to secondary school: mediating theory and practice |
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| Mercedes Garcia, Victoria
Sanchez, Isabel Escudero and Salvador Llinares The dialectic relationship between theory and practice in mathematics teacher education |
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| Rossella Garuti From research in mathematics education to teachers' training through internet |
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| Lucia Grugnetti and Angela
Rizza A lengthy process for the establishment of the concept of limit |
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| Alena Hospesova and Marie
Ticha Self-reflection and improving mathematics classroom culture |
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| Barbara Jaworski Inquiry as a pervasive pedagogic process in mathematics education development |
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| Jana Kratochvilova and Ewa
Swoboda Aspects affecting pupil’s thinking in mathematics during interaction researcher-pupil |
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| Roza Leikin and Sarga Dinur Patterns of flexibility: teachers’ behaviour in mathematical discussion |
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| Joao da Ponte, Lurdes Serrazina,
Olivia Sousa and Helena Fonseca Professionals investigate their own practice |
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| Petra Scherer and Heinz The professionalisation of mathematics teachers' knowledge - Teachers commonly reflect feedbacks to their own instruction activity |
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| Bernd Wollring Linking pre-service and in-service teacher training: co-operative design of working environments for primary mathematics |
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) |
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| Jordi Deulofeu and Lourdes Figueiras Inheritance problems in arabic algebra treatises. Can they stimulate future teachers' beliefs about mathematics? |
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| Ruhama Even and Tali Wallach Student assessment: issues for teacher education |
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| Hagar Gal Improving teachers' ability to cope with Problematic learning situations - The case of Eti |
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| Maria Goulding How do prospective primary teachers assess their own mathematical knowledge? |
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| Jeremy Hodgen Reflection, identity and belief change in primary mathematics |
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| M. Kaldrimidou, H. Sakonidis, M. Tzekaki Teachers' interventions in students' mathematical work: a classification |
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| Boris Koichu, Abraham Berman and Michael Moore Changing teachers' beliefs about students' heuristics in problem solving |
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| Nicolina A. Malara Future middle school teachers' beliefs about Algebra: Incidence of the cultural background |
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| Daniela Medici and Maria Gabriella Rinaldi A teaching resource for teacher training |
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| Stephanie Prestage and Pat Perks Towards a pedagogy of teacher education: from a model for teacher transformation |
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| Laetitia Ravel Setting a new curriculum in a classroom: variability and space of freedom for a teacher |
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| Tim Rowland, Anne Thwaites and Peter Huckstep Elementary teachers' mathematics knowledge and choice of examples |
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| Leonor Santos and João Pedro da Ponte An experience in distance in-service teacher education |