PME28 Bergen, Norway 14–18 July 2004

The 28th International Conference of the International Group for the Psychology of Mathematics Education

Research Reports

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

Ainley, JanetConstructing meanings and utilities within algebraic tasksAlatorre, SilviaProportional reasoning of quasi-illiterate adults

Alcock, LaraUses of example objects in proving

Amato, SolangeImproving student teachers’ attitudes to mathematics

Amit, MiriamTime and Flow as Parameters in International Comparisons: A View from an Eighth Grade Algebra Lesson

Anghileri, JuliaDisciplined Calculators or Flexible Problem Solvers?

Antonini, SamueleA Statement, the contrapositive and the inverse: intuition and argumentation

Arnon, IlanaSolution - what does it mean? Helping linear algebra students develop the concept while improving research tools

Asghari, Amir HosseinOrganizing with a focus on defining, a phenomenographic approach

Askew, MikeMediation and interpretation: exploring the interpersonal and the intrapersonal in primary mathematics lessons

Axiak, CettinaBeing Sensetive to Students Mathematical Needs: What does it take?

B

Ball, LyndaA new practice evolving in learning mathematics: Differences in students' written records with CASBaturo, AnnetteEmpowering Andrea to Help Year 5 Students COnstruct Fraction Understanding

Bayazit, IbrahimUnderstanding Inverse Functions: The Relationship Between Teaching Practice and Student Learning

Beswick, KimThe impact of teachers' perceptions of student characteristics on the enactment of their beliefs

Bikner-Ahsbahs, towards the emergence of constructing mathematical meanings

Bingolbali, ErhanIdentity, knowledge and departmental practices: Mathematics of engineers and mathematicians.

Blanton, MariaElementary students' capacity for functional thinking

Bobis, JanetteFor the sake of the children: Maintaining the momentum of a professional development program

Boufi, AdaFrom formal to semi-informal algorithms: The passage of a classroom into a new mathematical reality

Bragg, PhilippaA Measure of Rulers- The Importance of Units in a Measure

Breen, ChrisIn the Serpent's Den: Contrasting scripts relating to fear of mathematics

C

Cabral, Tania C. B.Formal inclusion and real diversity in an engineering program of a new public universityCallingham, RosemaryPrimary students' understanding of tessellation: An initial exploration

Chapman, OliveFacilitating Peer Interactions in Learning Mathematics: Teachers' Practical Knowledge

Charalambous, Towards a unified model on teachers´concerns and efficacy beliefs related to a mathematics reform

Chick, HelenWhat is unusual? The case of a media graph

Christou, ConstantinosProofs through exploration in dynamic geometry environments

Clark, KarenEstablishing a proessional learning community among middle school mathematics teachers

Clarke, DavidPatterns of Participation in the Mathematics Classroom

Cooper, TomYoung White Teachers' Perceptions of Mathematics Learning of Aboriginal and Non-Aboriginal Students in Remote Communities

Cortes, AnibalTwo Important Invariant Tasks in Solving Equations: Analyzing the Equation and Checking the Validity of Transformations

D

De Hoyos, Maria G.Uncertainty during the early stages of problem solvingDeloustal-Jorrand, Virginiestudying the mathematical concept of implication through a problem on written proofs

Di Martino, PietroFrom single beliefs to belief systems: a new observational tool

Doig, BrianAssessment as a strategic tool for enhancing learning in teacher education: a case study

Domingo, PaolaPatterns of reasoning in classroom

Dougherty, BarbaraGeneralized diagrams as a tool for young children’s problem solving

Downs, MartinCorrespondences, Functions and Assignation Rules.

Dvora, TaliUnjustified assumptions based on diagrams in geometry

E

Eichler, AndreasThe impact of individual curricula on teaching stochasticsElia, IliadaThe functions of pictures in problem solving

English, LynMathematical Modelling with Young Children

Esteley, CristinaExtending linear models to non-linear contexts: an in-depth study about two university students' mathematical productions

Evangelidou, AnastasiaUniversity students’ conceptions of function

F

Fakir Mohammad, RaziaPractical Constraints upon teacher development in Pakistani Schools.Falcade, RossanaTowards a definition of function

Ferrara, Francesca“why doesn’t it start from the origin?”: hearing the cognitive voice of signs

Ferrari, Pier LuigiMatematical language and advanced mathematics learning

Filloy, EugenioArithmetic/algebraic problem-solving and the representation of two unknown quantities

Forgasz, HelenEquity and computers for mathematics learning:Access and equity

Frade, CristinaThe tacit-explicit dynamic in learning processes

Freiman, ViktorTracking primary students' understanding of the equal sign

Friedlander, AlexLevels of Student Responses in a Spreadsheet-Based Environment

Fritzlar, TorstenSensitivity for the complexity of problem ori-ented mathematics instruction – a challenge to teacher education

Fuglestad, Anne BeritICT tools and students' competence development

G

Gagatsis, AthanasiosThe effects of different modes of representation on mathematical problem solvingGiraldo, VictorDescriptions and conflicts in dynamic geometry

Glass, BarbaraStudents problem solving and justification

Gómez, PedroDidactical knowledge development of pre-service secondary mathematics teachers

González-Martín, Legitimization of the graphic register in problem solving at the undergraduate level. The case of the improper integral.

Gorev, DvoraWill “The way they teach” be “The way they have learned”? Pre-service teachers’ beliefs concerning computer embedding in math teaching.

Groves, SusieProgressive discourse in mathematics classes ? The task of the teacher

Guimarães, Luiz CarlosTeacher's Practices and Dynamic Geometry

Gutierrez, AngelCharacterization of students’ reasoning and proof abilities in 3-dimensional geometry

H

Hallagan, JeanA teacher's model of students' algebraic thinking about equivalent expressionsHalverscheid, StefanOn motivational aspects of instructor-learner interactions in extra-curriculum activities

Hannula, MarkkuDevelopment of understanding and self-confidence in mathematics grades 5–8

Harel, GuershonMathematics Teachers' Knowledge Base: Preliminary Results

Healy, LuluThe role of tool and teacher mediations in the construction of meanings for reflection

Heinze, AisoThe Proving Process in Mathematics Classroom - Method and Results of a Video Study

Hoch, MaureenStructure sense in high school algebra: the effect of brackets

Hopkins, SarahExplaining variability in retrieval times for addition produced by students with mathematical learning difficulties

Horne, MarjEarly Gender Differences

Hähkiöniemi, MarkusPerceptual and symbolic representations as a starting point of the acquisition of the derivative

I

Ilany, Bat-ShevaImplementation of a model using authentic investigative activities for teaching ratio and proportion in pre-service teacher education.Inglis, MatthewMathematicians and the Selection Task

J

Jirotková, DarinaInsight into pupils’ understanding of infinity in a geometrical contextJohnsen-Høines, MaritTextual differences as conditions for learning processes

K

Kaino, LucksonStudents' gender attitudes towards the use of calculators in mathematics instructionKalyanasundaram, Teaching arithmetic and algebraic expressions

Kaput, JamesAn introduction to the profound potential of connected algebra activities: issues of representation, engagement and pedagogy

Karaagaç, Mehmet The tension between teacher beliefs and teacher practice: The impact of the work setting.

Kelleher, HeatherWhat a simple task can show: teachers explore the complexity of children?S thinking

Kidron, IvyConstructing knowledge about the bifurcation diagram: epistemic actions and parallel constructions

Knoll, EvaExperiencing research practice in pure mathematics in a teacher training context

Kramarski, BrachaEnhancing mathematical literacy with the use of metacognitive guidance in forum discussion

L

Lamb, JaneenThe impact of developing teacher conceptual knowledge on students' knowledge of division.Lavy, IlanaKinds of arguments emerging while exploring on a computerized environment

Lawrie, ChristineUsing Solo to analyse group responses

Ledesma Ruiz, Elena Connections between qualitative and quantitative thinking about proportion: The case of Paulina.

Leikin, RozaTowards high quality geometrical tasks: reformulation of a proof problem

Leron, UriMathematical thinking and human nature: consonance and conflict

Leu, Yuh-ChynThe mathematics pedagogical values delivered by an elementary teacher in her mathematics instruction: Attainment of Higher Education and Achievement

Leung, AllenVisual reasoning in computational environment: a case of graph sketching

Levenson, EstherElementary school students' use of mathematically-based and practically-based explanations: The case of multiplication

Liljedahl, PeterMathematical Discovery: Hadamard Resurected

Lin, Pi-JenSupporting Teachers on Designing problem-Posing Tasks as a Tool of Assesment to Understand Students' Mathematical Learning

Lo, Jane-JaneProspective elementary school teachers¡¦ solution strategies and reasoning for a missing value proportion task

M

Maschietto, MichelaThe introduction of calculus in 12th grade: the role of artefactsMcclain, KayThe critical role of institutional context in teacher development

Mcdonough, AndreaStudents' perceptions of factors contributing to successful participation in mathematics

Merenluoto, KaarinaThe cognitive-motivational profiles of students dealing with decimal numbers and fractions

Michaelidou, NikiThe number line as a representation of decimal numbers: A research with sixth grade students

Middleton, JamesPreservice teachers conceptions of mathematics-based software

Misailidou, ChristinaHelping children to model proportionally in group argumentation: overcoming the ‘constant sum’ error

Mitchelmore, MichaelAbstraction in mathematics and mathematics learning

Miyakawa, TakeshiReflective Symmetry in Construction and Proving

Modestou, ModestinaStudents' improper proportional reasoning: The case of area and volume of rectangular figures

Monaghan, JohnAbstraction and consolidation

Monteiro, CarlosCritical sense in interpretations of media graphs

Morselli, FrancescaBetween affect and cognition: Proving at University level

Mousley, JudithAn aspect of mathematical understanding: The notion of "Connected knowing"

Mousoulides, NikosAlgebraic and Geometric Approach in Function Problem Solving

Mulligan, JoanneChildren's development of structure in early mathematics

N

Nardi, ElenaOn the fragile, yet crucial, relationship between mathematicians and researchers in Mathematics EducationNeria, DoritStudents preference of non-algebraic representations in mathematical communication

Nicol, CynthiaLearning to see in mathematics classrooms

Nilsson, PerStudents`ways of interpreting aspects of chance embedded in a dice game.

Nisbet, StevenThe impact of state-wide numeracy testing on the teaching of mathematics in primary schools

Noyes, Andy"The poetry of the universe”: new mathematics teachers’ metaphoric meaning-making

Nunokawa, KazuhikoWhat studnets do when hearing ohters explaining

O

Olson, JoChanges in teachers’ practices while assuming new leadership rolesOuthred, LynneStudents' structuring of rectangular arrays

Ouvrier-Buffet, CecileConstruction of mathematical definitions: an epistemological and didactical study

Ozmantar, Mehmet FatihMathematical Abstraction through Scaffolding

P

Pantziara, MarilenaThe use of diagrams in solving non routine problemsPaparistodemou, EfiDesigning for local and global meanings of randomness

Paschos, TheodorusIntegrating the history of mathematics in educational praxis. An euclidean geometry approach to the solution of motion problems

Pehkonen, LeilaThe Magic Circle of the Textbooks an Option or an Obstacle for Teacher Change

Peled, IritSituated or abstract: the effect of combining context and structure on constructing an additive (part-part-whole) schema

Peretz, DvoraUsing graphical profiles to study the learning and teaching of mathematics

Person, AxelleThe Role of Number in Proportional Reasoning: A Prospective Teacher's Understanding

Pierce, RobynLearning to use cas:voices from a classroom

Pinto, MarciaTechnical School Studentsïconceptions on tangent lines

Pitta-Pantazi, DemetraElementary school students' mental representations of fractions

Pittalis, MariosA structural model for problem posing

Povey, HilarySome undergraduates' experience of learning mathematics

Psycharis, GiorgosNormalising geometrical constructions: a context for the generation of meanings for ratio and proportion

Q

R

Radford, LuisThe Sensual and The Conceptual: Artefact-Mediated Kinesthetic Actions and Semiotic ActivityRivera, FerdinandA Sociocultural Account of Students' Collective Mathematical Understanding of Polynomial Inequalities in Instrumented Activity

Robutti, OrnellaInfinity as a multi-faceted concept in history and in the mathematics classroom

Rodd, MelissaSuccessful Undergraduate Mathematicians: a study of students in two universites

Rolka, KatrinBilingual lessons and mathematical world views - a German perspective

Ron, GilaThe use of models in teaching proof by mathematical induction

Rowland, TimReflecting on prospective elementary teachers’ mathematics content knowledge: the case of Laura.

Rubio, GuillermoThe competent use of the analytic method in the solution of algebraic word problems. A didactical model based on a numerical approach with junior high students

Rønning, FrodeLanguage and Concept Development in Geometry

S

Sabena, CristinaThe role of gestures in conceptualisation: an exploratory study on the integral functionSafuanov, IldarPsychological aspects of genetic approach to teaching mathematics

Schlöglmann, WolfgangRoutines in non-routine problem solving processes

Schwarz, BaruchTeacher Guidance of Knowledge Construction

Shaughnessy, J. MichaelTypes of Student Reasoning on Sampling Tasks

Shternberg, Beba (buzina)Didactic Model - Bridging a Concept with Phenomena

Siemon, DianneElaborating the teacher's role - Towards a professional language

Simpson, AdrianMaking The Connection: Procedural And Conceptual Students’ Use Of Linking Words In Solving Problems

Slovin, HannahChildren’s conceptual understanding of counting

Spinillo, Alina GalvãoAdding fractions using ´half´as an anchor for reasoning

Stacey, KayePersistence of decimal misconceptions and readiness to move to expertise

Stehliková, NadaMolly and equeations in A2: A case study of apprehending structure

Straesser, RudolfImage - metaphor - diagram: visualisation in learning mathematics

Sulista, MarekImages of fractions as processes and images of fractions in processes

Sullivan, PeterDescribing elements of mathematics lessons that accommodate diversity in student background

Sutherland, RosOrchestrating mathematical proof through the use of digital tools

Sztajn, PaolaSchool-based community of teachers and outcomes for students

T

Tall, DavidThinking through three worlds of mathematicsTatsis, KonstantinosThe effect of students' roles on the establishment of shared meanings during problem solving

Thomas, MikeIntegrating CAS Calculators Into Mathematics Learning: Partnership Issues

Thomas, NoelThe development of structure in the number system

Thornton, StephenOrientations to numeracy: Teachers confidence and disposition to use mathematics across the curriculum

Torbeyns, JokeEfficiency and adaptiveness of multiple school-taught strategies in the domain of simple addition

Tsai, Wen-HuanSupporting Teachers on Developing Teaching Norms Based on Children's Learning Mathematics

Tsamir, PessiaProspective teachers images and definitions: The case of inflection points.

Tzur, RonFostering mathematical meaning via scientific inquiry: A case study

U

Uptegrove, ElizabethStudents Building IsomorphismsUrsini, SoniaHow do high school students interpret parameters in algebra?

Uusimaki, LiisaCauses underlying pre-service teachers' negative beliefs and anxieties about mathematics

V

Valdemoros, MartaFractions in adult`s elementary school: The case of LucinaVan Dooren, WimStudents’ overreliance on proportionality: Evidence from primary school pupils solving arithmetic word problems

Verikios, PetrosFrom functions to equations: introduction of algebraic thinking to 13 year-old students

W

Wagner, DavidCritical Awarenss of voice in mathematics classroom discourse: Learning the steps in the 'dance of agency'Wake, GeoffMetaphors and cultural models afford communication repairs of breakdowns between mathematical discourses

Warren, ElizabethGeneralising arithmetic: Supporting the process in the early years

Weber, KeithA framework for describing the processes that undergraduates use to construct proofs

Williams, GayeThe nature of spontaneity in high quality mathematics learning experience

Wilson, KirstySpreadsheet generalising and paper and pencil generalising

Woolner, PamelaA Comparison of a Visual-Spatial Approach with a Verbal Approach to Teaching Mathematics

Y

Yang, Kai-LinDifferentiation of students' reasoning on linear and quadratic geometry number patternsYiannoutsou, NikoletaMap construction as a context for studying the notion of variable scale

Yoshida, KaoriUnderstanding how the concept of fractions develops: a vygotskian perspective

Z

Zachariades, TheodossiosSecondary mathematics teachers` knowledge concerning the concept of limit and continuityZaslavsky, OritCharacteristics of Mathematical Problem Solving Tutoring in an Informal Setting

Zazkis, RinaMaking sense of irrational numbers: focusing on representation

Zevenbergen, RobynNumeracy Practices of Young Workers

© 2004 PME28 Conference Secretariat, Landåssvingen 15, 5096 Bergen, Norway