Learners and Learning Environments

Plenary Lectures

Lin, Fou-Lai
Modelling students' learning in argumentation and mathematics proof

Stacey, Kaye
Travelling the road to expertise: A longitudinal study of learning

Sfard, Anna & Prusak, Anna
Telling identities: The missing link between culture and learning mathematics

Reimann, Peter
Co-constructing artefacts and knowledge in net-based teams: Implications for the design of collaborative learning environments

Plenary Panel - Graham Jones (coordinator), Yoshinori Shimizu, Michael Neubrand, Carolyn Kieran, Julian Williams
What do studies like PISA mean to the mathematics education community?

Research Forums

RF01 The significance of task design in mathematics education: Examples from proportional reasoning
Coordinators: Janet Ainley & Dave Pratt
Additional Contributors: Dirk De Bock, Wim Van Dooren, Lieven Verschaffel, Koeno Gravemeijer, Frans van Galen, Ronald Keijzer, Alex Friedlander, Abraham Arcavi

RF02 Gesture and the construction of mathematical meaning (LARGE FILE - 4.7MB)
Coordinators: Ferdinando Arzarello & Laurie Edwards
Additional Contributors: Francesca Ferrara, Ornella Robutti, D. Paola, C. Sabena, Maria G. Bartolini Bussi, Michela Maschietto, Ricardo Nemirovsky, Luis Radford, Julian Williams, James Kaput

RF03 A progression of early number concepts
Coordinators: Kathleen Hart & Ann Gervasoni
Additional Contributor: Catherine Pearn

RF04 Theories Of Mathematics Education
Coordinators: Lyn English & Bharath Sriraman
Additional Contributors: Frank K. Lester Jr., Stephen Lerman, Luis Moreno Armella, John Pegg, David Tall, Richard Lesh, Günter Törner

Research Reports

Each individual Research Report (about 8 pages) is available by clicking on the appropriate link. Research Reports underwent peer review (see Volume 1 of the Proceedings for more details).

Adler, Jill & Davis, Zain & Kazima, Mercy & Parker, Diane & Webb, Lyn
Working with learners' mathematics: Exploring a key element of mathematical knowledge for teaching

Afantiti-Lamprianou, Thekla & Williams, Julian S. & Lamprianou, Iasonas
A comparison between teachers' and pupils' tendency to use a representativeness heuristic

Ainley, Janet G. & Bills, Liz & Wilson, Kirsty
Purposeful task design and the emergence of transparency

Alatorre, Silvia & Figueras, Olimpia
A developmental model for proportional reasoning in ratio comparison tasks

Alcock, Lara & Weber, Keith
Referential and syntactic approaches to proof: Case studies from a transition course

Alexandrou-Leonidou, Vassiliki & Philippou, George N.
Teachers' beliefs about students' development of the pre-algebraic concept of equation

Amato, Solange Amorim
Developing students' understanding of the concept of fractions as numbers

Amit, Miriam & Fried, Michael N.
Multiple representations in 8th grade algebra lessons: Are learners really getting it?

Anderson, Judy & Bobis, Janette
Reform-oriented teaching practices: A survey of primary school teachers

Arzarello, Ferdinando & Ferrara, Francesca & Robutti, Ornella & Paola, Domingo
The genesis of signs by gestures. The case of Gustavo (LARGE FILE - 2.3 MB)

Asghari, Amir H. & Tall, David
Students' experience of equivalence relations, a phenomenographic approach

Aspinwall, Leslie & Shaw, Kenneth L. & Unal, Hasan
How series problems integrating geometric and arithmetic schemes influenced prospective secondary teachers pedagogical understanding

Baber, Sikunder Ali & Dahl, Bettina
Dealing with learning in practice: Tools for managing the complexity of teaching and learning

Baldino, Roberto R. & Cabral, Tania C. B.
Situations of psychological cognitive no-growth

Ball, Lynda & Stacey, Kaye
Good CAS written records: Insight from teachers

Banerjee, Rakhi & Subramaniam, K.
Developing procedure and structure sense of arithmetic expressions

Bardini, Caroline & Radford, Luis & Sabena, Cristina
Struggling with variables, parameters, and indeterminate objects or how to go insane in mathematics

Barnes, Mary
Exploring how power is enacted in small groups

Barwell, Richard
A framework for the comparison of PME research into multilingual mathematics education in different sociolinguistic settings

Berger, Margot
Vygotsky's theory of concept formation and mathematics education

Beswick, Kim
Preservice teachers' understandings of relational and instrumental understanding

Borba, Marcelo C.
The transformation of mathematics in on-line courses

Brodie, Karin
Using cognitive and situated perspectives to understand teacher interactions with learner errors

Brown, Jill P.
Identification of affordances of a technology-rich teaching and learning environment (TRTLE)

Bulmer, Michael & Rolka, Katrin
The "A4-project": Statistical world views expressed through pictures

Callingham, Rosemary
A whole-school approach to developing mental computation strategies

Cao, Zhongjun & Forgasz, Helen & Bishop, Alan
A comparison of perceived parental influence on mathematics learning among students in China and Australia

Chan, Kah Yein & Mousley, Judith
Using word problems in Malaysian mathematics education: Looking beneath the surface

Chapman, Olive
Constructing pedagogical knowledge of problem solving: Preservice mathematics teachers

Charalambous, Charalambos Y. & Pitta-Pantazi, Demetra
Revisiting a theoretical model on fractions: Implications for teaching and research

Chaviaris, Petros & Kafoussi, Sonia
Students' reflection on their sociomathematical small-group interaction: A case study

Chick, Helen L. & Baker, Monica K.
Investigating teachers' responses to student misconceptions

Clarke, David & Seah, Lay Hoon
Studying the distribution of responsibility for the generation of knowledge in mathematics classrooms in Hong Kong, Melbourne, San Diego and Shanghai

Cooper, Tom J. & Baturo, Annette R. & Warren, Elizabeth
Indigenous and non-Indigenous teaching relationships in three mathematics classrooms in remote Queensland

Cranfield, Ty Corvell & Kühne, Cally & Powell, Gary
Exploring the strategies used by Grade 1 to 3 children through visual prompts, symbols and worded problems: A case for a learning pathway for number

Diezmann, Carmel
Primary students' knowledge of the properties of spatially-oriented diagrams

Droujkova, Maria A. & Berenson, Sarah B. & Slaten, Kelli & Tombes, Sue
A conceptual framework for studying teacher preparation: The Pirie-Kieren model, collective understanding, and metaphor

English, Lyn & Watters, James
Mathematical modelling with 9-year-olds

Fernández, Maria L
Exploring "Lesson Study" in teacher preparation

Fox, Jillian
Child-initiated mathematical patterning in the pre-compulsory years

Frade, Cristina
The tacit-explicit nature of students' knowledge: A case study on area measurement

Francisco, John M. & Maher, Carolyn A.
Teachers as interns in informal mathematics research

Frempong, George
Exploring excellence and equity within Canadian mathematics classrooms

Fuglestad, Anne Berit
Students' use of ICT tools: Choices and reasons

Furinghetti, Fulvia & Morselli, Francesca & Paola, Domingo
Interaction of modalities in Cabri: A case study

Gallardo, Aurora & Hernández, Abraham
The duality of zero in the transition from arithmetic to algebra

Galligan, Linda
Conflicts in offshore learning environments of a university preparatory mathematics course

Gervasoni, Ann
The diverse learning needs of young children who were selected for an intervention program

Goodchild, Simon & Jaworski, Barbara
Using contradictions in a teaching and learning development project

Goos, Merrilyn
A sociocultural analysis of learning to teach

Gordon, Sue & Nicholas, Jackie
Three case studies on the role of memorising in learning and teaching mathematics

Gorgorió, Núria & Planas, Núria
Reconstructing norms

Guidoni, Paolo & Iannece, Donatella & Tortora, Roberto
Forming teachers as resonance mediators

Haja, Shajahan
Investigating the problem solving competency of pre service teachers in dynamic geometry environment

Hannula, Markku S. & Kaasila, Raimo & Pehkonen, Erkki & Laine, Anu
Structure and typical profiles of elementary teacher students' view of mathematics

Hansson, Örjan
Preservice teachers' view on y=x+5 and y= πx ² expressed through the utilization of concept maps: A study of the concept of function

Heinze, Aiso
Mistake-handling activities in the mathematics classroom

Heirdsfield, Ann
One teacher's role in promoting understanding in mental computation

Herbel-Eisenmann, Beth & Wagner, David
In the middle of nowhere: How a textbook can position the mathematics learner

Hewitt, Dave
Chinese whispers - algebra style: Grammatical, notational, mathematical and activity tensions

Higgins, Joanna
Pedagogy of facilitation: How do we best help teachers of mathematics with new practices?

Hoch, Maureen & Dreyfus, Tommy
Students' difficulties with applying a familiar formula in an unfamiliar context

Howard, Peter & Perry, Bob
Learning mathematics: Perspectives of Australian Aboriginal children and their teachers

Huang, Rongjin
Verification or proof: Justification of Pythagoras' theorem in Chinese mathematics classrooms

Huillet, Danielle
Mozambican teachers' professional knowledge about limits of functions

Inglis, Matthew & Simpson, Adrian
Heuristic biases in mathematical reasoning

Jones, Ian & Pratt, Dave
Three utilities for the equal sign

Kieran, Carolyn & Saldanha, Luis
Computer algebra systems (CAS) as a tool for coaxing the emergence of reasoning about equivalence of algebraic expressions

Kim, Dong Joong & Sfard, Anna & Ferrini-Mundy, Joan
Students' colloquial and mathematical discourses on infinity and limit

Koirala, Hari P.
The effect of mathmagic on the algebraic knowledge and skills of low-performing high school students

Kühne, Cally & van den Heuvel-Panhuizen, Marja & Ensor, Paula
Learning and teaching early number: Teachers' perceptions

Kuntze, Sebastian & Reiss, Kristina
Situation-specific and generalized components of professional knowledge of mathematics teachers: Research on a video-based in-service teacher learning program

Lavy, Ilana & Shriki, Atara
Assessing professional growth of pre-service teachers using comparison between theoretical and practical image of the 'good teacher'

Lee, Kyung Hwa
Mathematically gifted students' geometrical reasoning and informal proof

Leu, Yuh-Chyn & Wu, Chao-Jung
Investigation on an elementary teacher's mathematics pedagogical values through her approach to students' errors

Lin, Yung-Chi & Chin, Erh-Tsung
How the calculator-assisted instruction enhances two fifth grade student' learning number sense in Taiwan

Lowrie, Tom & Diezmann, Carmel
Fourth-grade students' performance on graphical languages in mathematics

Makar, Katie & Canada, Dan
Preservice teachers' conceptions of variation

Mamede, Ema & Nunes, Terezinha & Bryant, Peter
The equivalence and ordering of fractions in part-whole and quotient situations

Manu, Sitaniselao Stan
Growth of mathematical understanding in a bilingual context: Analysis and implications

Marcou, Andri & Philippou, George
Motivational beliefs, self-regulated learning and mathematical problem solving

Martin, Lyndon & LaCroix, Lionel & Fownes, Lynda
Fractions in the workplace: Folding back and the growth of mathematical understanding

Maschietto, Michela & Bartolini Bussi, Maria G.
Meaning construction through semiotic means: The case of the visual pyramid

Mousoulides, Nikos & Philippou, George
Students' motivational beliefs, self-regulation strategies and mathematics achievement

Moutsios-Rentzos, Andreas & Simpson, Adrian
The transition to postgraduate study in mathematics: A thinking styles perspective

Mulligan, Joanne & Mitchelmore, Michael & Prescott, Anne
Case studies of children's development of structure in early mathematics: A two-year longitudinal study

Nemirovsky, Ricardo & Rasmussen, Chris
A case study of how kinestetic experiences can participate in and transfer to work with equations

Norton, Stephen
The construction of proportional reasoning

Olson, Jo Clay & Kirtley, Karmen
The transition of a secondary mathematics teacher: From a reform listener into a believer

Owens, Kay
Substantive communication of space mathematics in upper primary school

Pang, JeongSuk
Transforming Korean elementary mathematics classrooms to student-centered instruction

Pegg, John & Graham, Lorraine & Bellert, Anne
The effect of improved automaticity and retrieval of basic number skills on persistently low-achieving students

Peled, Irit & Bassan-Cincinatus, Ronit
Degrees of freedom in modeling: Taking certainty out of proportion

Perry, Bob & Dockett, Sue
"I know that you don't have to work hard": Mathematics learning in the first year of primary school

Philippou, George & Charalambous, Charalambos Y.
Disentangling mentors' role in the development of prospective teachers' efficacy beliefs in teaching mathematics

Pierce, Robyn
Linear functions and a triple influence of teaching on the development of students' algebraic expectation

Pinel, Adrian J.
Engaging the learner's voice? Catechetics and oral involvement in reform strategy lessons

Prescott, Anne & Mitchelmore, Michael
Teaching projectile motion to eliminate misconceptions

Presmeg, Norma & Nenduradu, Rajeev
An investigation of a preservice teacher's use of representations in solving algebraic problems involving exponential relationships.

Radford, Luis & Bardini, Caroline & Sabena, Cristina & Diallo, Pounthioun & Simbagoye, Athanase
On embodiment, artifacts, and signs: A semiotic-cultural perspective on mathematical thinking

Rossi Becker, Joanne & Rivera, Ferdinand
Generalization strategies of beginning high school algebra students

Sabena, Cristina & Radford, Luis & Bardini, Caroline
Synchronizing gestures, words and actions in pattern generalizations

Schorr, Roberta Y. & Amit, Miriam
Analyzing student modeling cycles in the context of a 'real world' problem

Seah, Wee Tiong
Negotiating about perceived value differences in mathematics teaching: The case of immigrant teachers in Australia

Sekiguchi, Yasuhiro
Development of mathematical norms in an eighth-grade Japanese classroom

Selva, Ana Coelho Vieira & da Rocha Falcão, Jorge Tarcísio & Nunes, Terezinha
Solving additive problems at pre-elementary school level with the support of graphical representation

Sethole, Godfrey
From the everyday, through the authentic, to mathematics: Reflecting on the process of teaching mathematics through the everyday

Sharma, Sashi
Personal experiences and beliefs in early probabilistic reasoning: Implications for research

Shriki, Atara & Lavy, Ilana
Assimilating innovative learning/teaching approaches into teacher education: Why is it so difficult?

Siswono, Tatag Yuli Eko
Student thinking strategies in reconstructing theorems

Son, Ji-Won
A comparison of how textbooks teach multiplication of fractions and division of fractions in Korea and in U.S.

Southwell, Beth & Penglase, Marina
Mathematical knowledge of pre-service primary teachers

Steinle, Vicki & Stacey, Kaye
Analysing longitudinal data on students' decimal understanding using relative risk and odds ratios

Steinthorsdottir, Olof Bjorg
Girls journey toward proportional reasoning

Stewart, Sepideh & Thomas, Michael O. J.
University student perceptions of CAS use in mathematics learning

Stylianides, Andreas J. & Stylianides, Gabriel J. & Philippou, George
Prospective teachers' understanding of proof: What if the truth set of an open sentence is broader than that covered by the proof?

Sullivan, Peter & Zevenbergen, Robyn & Mousley, Judy
Planning and teaching mathematics lessons as a dynamic, interactive process

Thomas, Michael O. J. & Hong, Ye Yoon
Teacher factors in integration of graphic calculators into mathematics learning

Van Dooren, Wim & De Bock, Dirk & Janssens, Dirk & Verschaffel, Lieven
Students' overreliance on linearity: An effect of school-like word problems?

Verhoef, N. C. & Broekman, H. G. B.
A process of abstraction by representations of concepts

Vincent, Jill & Chick, Helen & McCrae, Barry
Argumentation profile charts as tools for analysing students' argumentations

Volkova, Tanya N.
Characterizing middle school students' thinking in estimation

Walshaw, Margaret & Cabral, Tania
Reviewing and thinking the affect/cognition relation

Warren, Elizabeth
Young children's ability to generalise the pattern rule for growing patterns

Williams, Gaye
Consolidating one novel structure whilst constructing two more

Wilson, Kirsty & Ainley, Janet & Bills, Liz
Spreadsheets, pedagogic strategies and the evolution of meaning for variable

Wu, Der-bang & Ma, Hsiu-Lan
A study of the geometric concepts of the elementary school students who are assigned to the van Hiele level one

Short Oral Communications

All of the single page Short Oral Presentations are available in the one document.

Short Oral Communications

Abdul Rahman, Roselainy & Mohammad Yusof, Yudariah & Mason, John H.
Mathematical knowledge construction: Recognizing students'struggle

Acuña, Claudia
Figural interpretation of straight lines through identification, construction and description focussed on slope and y-intercept features

Baharun, Sabariah & Mohammad Yusof, Yudariah & Ahmad, Tahir & Arshad, Khairil Annuar
Thinking mathematically: Personal journey in the modeling of a clinical waste incineration process

Bazzini, Luciana & Bertazzoli, Luisa & Morselli, Francesca
The fruitful synergy of paper & pencil and Cabri géomètre: A case study

Beckmann, Sybilla
Development of a rationale in a US text and in Singapore's school mathematics texts

Borba, Rute Elizabete de Souza Rosa
How children solve division problems and deal with remainders

Bower, Michelle L. W.
Student mathematical talk: A case study in algebra and physics

Breen, Chris
Ethical considerations in a mathematics teacher education classroom

Brown, Tony & Bradford, Krista
Ceci n'est pas un "circle"

Bruder, Regina & Komorek, Evelyn & Schmitz, Bernhard
Development and evaluation of a concept for problem-solving and self-guided learning in maths lessons

Calder, Nigel
Mathematical problem-solving in a spreadsheet environment: In what ways might student discourse influence understanding?

Caswell, Rosemaree & Nisbet, Steven
The value of play in learning mathematics in the middle years of schooling

Cedillo, Tenoch
The potential of CAS to promote changes in teachers' conceptions and practices

Chang, Yu-Liang & Wu, Su-Chiao
Pre-service teachers' self-efficacy toward elementary mathematics and science

Cretchley, Patricia
Students and software: Tales of anxiety, songs of support

Cunningham, Robert F. & van der Sandt, Suriza
Composition and decomposition of 2-dimensional figures demonstrated by preservice teachers

Davis, Sarah M.
What's in a name? Anonymity of input in next-generation classroom networks

Dindyal, Jaguthsing
Students' use of different representations in problem solving at high school level

Finnane, Maureen
Automatised errors: A hazard for students with mathematical learning difficulties

Gooya, Zahra & Karamian, Azar
Teaching geometry in two secondary classrooms in Iran, using ethnomathematics approach

Groves, Susie & Doig, Brian
Teaching strategies to support young children's mathematical explanations

Hansen, Alice & Pratt, Dave
How do we provide tasks for children to explore the dynamic relationships between shapes?

Hardy, Tansy
Participation, performance and stage fright: Keys to confident learning and teaching in mathematics?

Herbert, Sandra & Pierce, Robyn
An emergent model for rate of change

Holton, Derek & Linsell, Chris
The role of activities in teaching early algebra

Izsák, Andrew
Coordinated analyses of teacher and student knowledge engaged during fraction instruction

Jakubowski, Elizabeth
Differences in learning geometry among high and low spatial ability preservice mathematics teachers

Kazima, Mercy
Mathematical knowledge for teaching probability in secondary schools

Kesianye, Sesutho
Student teachers' views on learning through interactive and reflective methods

Kim, In Kyung
Low-achievement students' rationale about mathematics learning

Kim, NamGyun
Characteristics of early elementary students' mathematical symbolizing processes

Knapp, Jessica & Oehrtman, Michael
Temporal order in the formal limit definition

Koyama, Masataka
Research on the process of understanding mathematics: Ways of finding the sum of the measure of interior angles in a convex polygon

Krupanandan, Daniel
Mathematics: Coping with learner success or failure.

Kwon, MinSung & Pang, JeongSuk & Lee, Kyung Hwa
An analysis of teacher-students interaction in Korean elementary mathematics classrooms

Kwon, Oh Nam & Ju, Mi-Kyung & Kim, So Youn
Students' graphical understanding in an inquiry-oriented differential equation course: Implication for pre-service mathematics teacher education

Lamb, Martin & Malone, John
Types of visual misperception in mathematics

Leung, King-man
Developing students' high-order thinking skills through increasing student-student interaction in the primary classroom

Lin, Pi-Jen
Supporting teachers on learning to teach fraction equivalence by providing research data of children's thinking

Lindén, Nora
Pupils' tools for communicating meta-knowledge

Lins, Abigail F. (Bibi), & Araújo Jr, Carlos F. de. & Costa, Carlos H. de J. & Guazzelli, Iara R. B. & Bonici, Rosângela M. C.
Mathematics education, culture and new technologies

Liu, Po-Hung
Investigation of students' views of mathematics in a historical approach calculus course

Liu, Shiang-tung & Ho, Feng-chu
Conjecture activities for comprehending statistics term through speculations on the functions of fictitious spectrometers

MacGregor, Mollie
Turning mathematical processes into objects

Mashiach-Eizenberg, Michal & Lavy, Ilana
The beneficial and pitfall role of the spoken language in the informal definition of statistical concepts

Misailidou, Christina
A didactic proposal for supporting pupils' proportional reasoning

Na, GwiSoo
An investigation on proofs education in Korea

Oikonomou, Andreas & Tzekaki, Marianna
Improving spatial representations in early childhood

Papic, Marina
The development of patterning in early childhood

Pinel, Adrian J. & Dawes, Maria & Plater, Carol
The development and piloting of a six month pre-initial teacher training mathematics enhancement course

Pongboriboon, Yachai & Punturat, Sompong & Chaiyo, Anchalee
Authentic assessment in mathematics classroom: A participatory action research

Reading, Chris & Wessels, Helena & Wessels, Dirk
The candy task goes to South Africa: Reasoning about variation in a practical context

Rösken, Bettina & Törner, Günter
Some characteristics of mental representations of the integral concept: An empirical study to reveal images and definitions

Ryan, Julie & McCrae, Barry
Pre-service teachers' mathematics subject knowledge: Admissions testing and learning profiles

Sakonidis, Haralambos
Mathematics teachers' pedagogical identities under construction: A study

Seah, Rebecca & Booker, George
Middle school mathematics education and the development of multiplication conceptual knowledge

Shy, Haw-Yaw & Feng, Shu-Chen & Liang, Chorng-Huey
A revisit on problem solving

Siemon, Dianne & Enilane, Fran & McCarthy, Jan
Probing Indigenous students' understanding of Western mathematics

Slaten, Kelli M. & Berenson, Sarah B. & Droujkova, Maria & Tombes, Sue
Assessing beginning pre-service teacher knowledge: An early intervention strategy

Sriraman, Bharath
The impediments to formulating generalizations

Thomas, Noel & Hastings, Wendy & Dengate, Bob
Student numeracy: A study of the numeracy development of teaching undergraduates

Tsai, Wen-Huan
Interaction between teaching norms and learning norms from professional community and classroom communities

Tsamir, Pessia & Ovodenko, Regina
"Erroneous tasks": Prospective teachers' solutions and didactical views

Tsao, Yea-Ling
Blind students' perspective on learning the geometric concepts in Taiwan

Tso, Tai-Yih
Mathematical modelling as learning activities

Tzekaki, Marianna & Littler, Graham
Innovative teaching approaches in different countries

Vale, Colleen
Equity and technology: Teachers' voices

van der Sandt, Suriza
The state and impact of geometry pre-service preparation: Possible lessons from South Africa

Walls, Fiona
Examining task-driven pedagogies of mathematics

Walshaw, Margaret & Siber, Elizabeth
Inclusive mathematics: catering for the 'learning-difficulties' student

Warner, Linda & Anthony, Glenda
Children's notation on early number computation

Warner, Lisa B. & Schorr, Roberta Y. & Samuels, May L. & Gearhart, Darleen L.
Teacher behaviors and their contribution to the growth of mathematical understanding

Webb, Lyn & Webb, Paul
Teachers' beliefs of the nature of mathematics: Effects on promotion of Mathematical Literacy

Wu, Su-Chiao & Chang, Yu-Liang
Action research on integrating brain-based educational theoryin mathematics teacher preparation program

Yen, Fu-Ming & Chang, Ching-Kuch
Using writing to explore how junior high school gifted students construct model in problem solving.

Yen, Ying-Hsiu & Shy, Haw-Yaw & Chen, Chun-Fang & Liang, Chorng-Huey & Feng, Shu-Chen
An alternative model on gifted education

Yevdokimov, Oleksiy
Learning mathematical discovery in a classroom: Different forms, characteristics and perspectives. A case study

Young-Loveridge, Jennifer M. & Taylor, Merilyn & Hawera, Ngarewa
Students' views about communicating mathematically with their peers and teachers

Poster Presentations

All of the single page Poster Presentations are available in the one document.

Poster Presentations

Andresen, Mette
Working with mathematical models in CAS

Baggett, Patricia & Ehrenfeucht, Andrzej
A non-standard mathematics program for K-12 teachers

Berry, Betsy (Sandra E.)
Supporting the development of middle school mathematics teachers' evolving models for the teaching of algebra

Bispo, Regina & Ramalho, Glória
Evaluation of suggested problems in Portuguese mathematics textbooks

Chen, Yen-Ting & Leou, Shian
The investigation of conceptual change and argumentation in mathematical learning

Chung, Jing
Teaching time by picture books for children in mathematics class

De Bock, Dirk & Van Dooren, Wim & Verschaffel, Lieven
The over-reliance on linearity: A study on its manifestations in popular press

Droujkov, Dmitri & Droujkova, Maria
Software for the development of multiplicative reasoning

Droujkova, Maria
Tables and young children's algebraic and multiplicative reasoning

Fuglestad, Anne Berit
Students' choices of ICT tools and their reasons.

Higgins, Joanna
Teacher orientations to equipment use in elementary mathematics classrooms

Hino, Keiko
Process of change of teaching on ratio and proportion by making aware of a knowledge acquisition model: Case study

Hsieh, Ju-Shan
Pre-service math teachers' beliefs in Taiwan

Ilany, Bat-Sheva & Margolin, Bruria
A procedural model for the solution of word problems in mathematics

Ji, EunJeung
The 5th-10th grade students' informal knowledge of sample and sampling

Katsap, Ada
Fostering teachers' ethnomathematical learning and training: How done in fact and what can be learned about?

Kishimoto, Tadayuki
Students' misconception of negative numbers: Understanding of concrete, number line, and formal model

Kwon, Oh Nam & Park, Jungsook & Park, Jeehyun & Oh, Hyemi & Ju, Mi-Kyung
The effects of mathematics program for girls based on feminist pedagogy

Larios Osorio, Víctor
Argumentation and geometric proof construction on a dynamic geometry environment

Lautert, Sintria Labres & Spinillo, Alina Galvão
What's wrong with this solution procedure? Asking children to identify incorrect solutions in division-with-remainder (DWR) problems

Lombard, Ana-Paula & Kühne, Cally & van den Heuvel-Panhuizen, Marja
Interviewing foundation phase teachers to assess their knowledge about the development of children's early number strategies

Ma, Hsiu-Lan
A study of developing practical reasoning

Misailidou, Christina
Developing ideas: A case study on teaching 'ratio' in secondary school

Okamoto, Yukari & Moseley, Bryan & Ishida, Junichi
Analyses of US and Japanese students' correct and incorrect responses: Case of rational numbers

Pang, JeongSuk
Mathematical activities and connections in Korean elementary mathematics

Robson, Daphne
Online instruction for equation solving

Selva, Ana Coelho Vieira & Borba, Rute Elizabete de Souza Rosa
Using the calculator to understand remainders of divisions and decimal numbers

Stroup, Walter M. & Davis, Sarah M.
Generative activities and function-based algebra

Tsao, Yea-Ling
Teaching statistics with constructivist- base learning method to describe student attitudes toward statistics

Warner, Lisa B.
Student behaviors that contribute to the growth of mathematical understanding

Wessels, Helena & Wessels, Dirk
Assessment of spatial tasks of Grade 4-6 students

Widjaja, Wanty
Didactical analysis of learning activities on decimals for Indonesian pre-service teachers

Yao, Ru-Fen
Workshop on designing "school-based" mathematics instructional modules

Yoshida, Kaori
Children's "everyday concepts of fractions" based on Vygostky's theory: Before and after fraction lessons

Working Sessions

The file of Working Sessions contains the single page outlines of all the Working Sessions, together with all Discussion Group outlines.

Discussion Groups and Working Sessions

WS01 Teaching and learning mathematics in multilingual classrooms
Coordinators: Mamokgethi Setati & Richard Barwell & Anjum Halai

WS02 Examining theses
Coordinators: Kath Hart & Anne Berit Fuglestad

Discussion Groups

The file of Discussion Groups contains the single page outlines of all the Discussion Groups, together with all Working Session outlines.

Discussion Groups and Working Sessions

DG01 Mathematics and gender: Should the world still care?
Coordinators: Helen Forgasz & Joanne Rossi Becker

DG02 Abstraction in mathematics learning
Coordinators: Michael Mitchelmore & Paul White

DG03 Research by teachers, research with teachers
Coordinators: Jarmila Novotná & Agatha Lebethe & Gershon Rosen & Vicki Zack

DG04 Thought and language in the context of mathematics education
Coordinators: Cristina Frade & Stephen Lerman & Jorge Tarcísio da Rocha Falcão & Luciano Meira

DG05 Towards new perspectives and new methodologies for the use of technology in mathematics education
Coordinators: Bibi Lins & Victor Giraldo & Luiz Mariano Carvalho & Laurie Edwards

DG06 Indigenous communities and mathematics education: Research issues and findings
Coordinators: Annette Baturo & Miriam Amit & Hsiu-Fei Lee

DG07 Teacher change
Coordinators: Markku S. Hannula & Peter Sullivan

DG08 Embodiment in mathematics: Metaphors and gestures
Coordinators: Laurie D. Edwards & Chris Rasmussen & Ornella Robutti & Janete Bolite Frant

DG09 Developing algebra reasoning in the early grades (K-8)
Coordinators: Elizabeth Warren & Tom Cooper

Complete Volumes

These are large PDFs of each of the four volumes of the original paper proceedings. These include Volume 1 (all Plenaries, Research Forums, Working Session, Discussion Groups, Short Oral Communications, and Poster Presentations), Volume 2 (Research Reports for authors Adl-Fre), Volume 3 (Research Reports for authors Fug-Mou), and Volume 4 (Research Reports for authors Mul-Wu).

• Volume 1 (all Plenaries, Research Forums, Working Session, Discussion Groups, Short Oral Communications, and Poster Presentations) 8.2MB
• Volume 2 (Research Reports for authors Adl-Fre) 5.3MB
• Volume 3 (Research Reports for authors Fug-Mou) 4.6MB
• Volume 4 (Research Reports for authors Mul-Wu) 3.7MB