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As part of its mission, the International Association for the Evaluation of Educational Achievement (IEA) is committed to the development of the community of researchers who work in the area of assessment both nationally and internationally. The association also has a commitment to provide policymakers with the types of data and analyses that will further their understanding of student achievement and the antecedent factors that are implicated in student learning. As part of a larger strategy to achieve these broad goals, the IEA sponsors a research conference every two years as a means of providing opportunities for new researchers and more experienced scholars to meet, discuss, and present the findings of their work as it relates to the secondary analysis of IEA studies. The proceedings of the Second IEA International Research Conference, which was held in Washington DC, November 2006, and hosted by the Brookings Institution, are published in two volumes. Volume 2 brings together papers that focus on the Progress in International Reading Literacy Study (PIRLS), the Second Information on Technology in Education Study (SITES), and the Civic Education Study (CivEd). Contents include: (1) Foreword (Hans Wagemaker); (2) Civic knowledge of high-school students in Israel: Personal and contextual determinants (Orit Ichilov); (3) Factors that distinguish the most from the least effective schools in reading: A residual approach (Constantinos Papanastasiou); (4) Innovative pedagogical practices using technology: Diffusion patterns within schools (Alona Forkush-Baruch and Dorit Tubin); (5) Examining literacy, gender, and the home environment in PIRLS 2001 countries (Kathleen Trong and Ann Kennedy); (6) A comparison of fourth-graders' academic self-concept and attitudes toward reading, mathematics, and science in PIRLS and TIMSS countries (Ann Kennedy and Kathleen Trong); (7) Equating errors in international surveys in education (C. Monseur, H. Sibberns, and D. Hastedt); (8) Sociological perspectives on youth support for social movements (Oren Pizmony-Levy); (9) Online data collection in SITES 2006: Design and implementation (Ralph Carstens, Falk Brese, and Barbara N. Brecko); (10) Political attitudes and behaviors across adolescence and early adulthood: A comparison of IEA and European Social Survey findings (Marc Hooghe and Britt Wilkenfeld); (11) School climate for citizenship education: A comparison of England and the United States (Gary Homana and Carolyn Barber); (12) Home reading environments and children's reading performance: A comparative study of 25 countries (Hyunjoon Park); (13) Student government and voluntary organizations: A comparative study of Australia and the United States (Gary Homana and Jeff Greene); (14) Predicting the political involvement of European adolescents (Rainer H. Lehmann); (15) Reading achievements in urban and rural communities: A comparative analysis of equity in education (Aiste Elijio); (16) Secondary analysis of PIRLS 2001 Norwegian data (Victor H. P. van Daal, A. Charlotte Begnum, Ragnar Gees Solheim, and Herman J. Ader); (17) The effect of multilingual policies on performance and progression in reading literacy in South African primary schools (Sarah Howie, Elsie Venter, Surette van Staden, and Michelle van Gelder); (18) Equity of achievement: A matter of education structures? (Ariane Baye and Christian Monseur); (19) Characteristics of United States Grade 4 language minority students in an international context: Findings from PIRLS 2001 (Laurence T. Ogle, David C. Miller, and Lydia B. Malley); (20) Teachers' practices in relation to students' civic engagement in three countries (Carolyn Barber); (21) Relationships between parental factors and children's reading behaviors and attitudes: Results from the PIRLS 2005 field test in Taiwan (Chia-Hui Chiu and Hwa-Wei Ko); (22) Online data collection in SITES 2006: Paper survey versus web survey--do they provide comparable results? (Barbara Neza Brecko and Ralph Carstens); (23) Schools that exceed expectations: A cross-country comparison (Marjet Doupona Horvat and Alja Krevh); (24) Changes in reading variations and their relationship with socioeconomic status at school and individual levels in trend countries (Kajsa Yang-Hansen); (25) Analyzing trends in levels of reading literacy between 1970 and 2001 in Sweden (Monica Rosen); and (26) A cross-country comparison of direct and indirect effects of parents' level of education on students' reading achievement (Eva Myrberg and Monica Rosen). Individual papers figures, tables, footnotes and references. [For "The Second IEA International Research Conference: Proceedings of the IRC-2006 Volume 1", see ED510139.]

Government regulations require businesses to improve their processes and products/services in a green and sustainable manner. For being environmentally friendly, businesses should invest more on eco-innovation practices. Firms eco-innovate to promote eco-efficiency and sustainability. This paper evaluates the eco-innovation performance of Organisation for Economic Co-operation and Development (OECD) countries with data envelopment analysis (DEA). Data were gathered from the world bank database and global innovation index report. Findings show that for most OECD countries, energy use and ecological sustainability are more important than other inputs and outputs for enhancing eco-innovation. [For full proceedings, see ED571459.]

This paper explores the PISA [Programme for International Student Assessment] achievement of twenty countries in light of some of their demographic differences. SES [student socioeconomic status], nuclear family, gender, home language, and native status were predictive of achievement for every country. Demographics accounted for as little as 8 percent to as much as 22 percent of individual score variance depending on the country and subject. Being male was almost a universal advantage in math, but was a far greater disadvantage in reading for every country. The relative performance of some countries changed when scores were adjusted for demographic differences; however, the Asian countries and Finland remained on top. Instructional strategies related to countries performing above expectations were explored.

This is a record of the proceedings of the 30th annual conference of the Mathematics Education Research Group of Australasia (MERGA). The theme of the conference is "Mathematics: Essential research, essential practice." The theme draws attention to the importance of developing and maintaining links between research and practice and ties in with the joint day of presentations with the 21st biennial conference of the Australian Association of Mathematics Teachers (AAMT). This special feature highlights the benefits of collaboration between researchers, practicing classroom teachers, and curriculum developers. Volume 1 contains the following papers: (1) The Beginnings of MERGA (Ken Clements); (2) Teaching and Learning by Example: The Annual Clements/Foyster Lecture (Helen L. Chick); (3) Introducing Students to Data Representation and Statistics (Richard Lehrer); (4) Studies in the Zone of Proximal Awareness (John Mason, Helen Drury and Liz Bills); (5) Empowered to Teach: A Practice-based Model of Teacher Education (Janette Bobi); (6) Communicating Students' Understanding of Undergraduate Mathematics using Concept Maps (Karoline Afamasaga-Fuata'i); (7) Primary Student Teachers' Diagnosed Mathematical Competence in Semester One of their Studies (Karoline Afamasaga-Fuata'i, Paul Meyer and Naomi Falo); (8) An Online Survey to Assess Student Anxiety and Attitude Response to Six Different Mathematical Problems (Vincent Anderson); (9) Mathematical Investigations: A Primary Teacher Educator's Narrative Journey of Professional Awareness (Judy Bailey); (10) Describing Mathematics Departments: The Strengths and Limitations of Complexity Theory and Activity Theory (Kim Beswick, Anne Watson and Els De Geest); (11) Three Student Tasks in a Study of Distribution in a "Best Practice" Statistics Classroom (Anthony Bill and Jane Watson); (12) Teacher Researchers Questioning their Practice (Linda Bonne & Ruth Pritchard); (13) Imagined Classrooms: Prospective Primary Teachers Visualise their Ideal Mathematics Classroom (Kathy Brady); (14) Early Notions of Functions in a Technology-Rich Teaching and Learning Environment (TRTLE) (Jill Brown); (15) Collective Argumentation and Modelling Mathematics Practices Outside the Classroom (Raymond Brown and Trevor Redmond); (16) Visual Perturbances in Digital Pedagogical Media (Nigel Calder); (17) Professional Experience in Learning to Teach Secondary Mathematics: Incorporating Pre-service Teachers into a Community of Practice (Michael Cavanagh and Anne Prescott); (18) Young Children's Accounts of their Mathematical Thinking (Jill Cheeseman and Barbara Clarke); (19) Mathematical Reform: What Does the Journey Entail for Teachers? (Linda Cheeseman); (20) Year Six Fraction Understanding: A Part of the Whole Story (Doug M. Clarke, Anne Roche and Annie Mitchell); (21) Teaching as Listening: Another Aspect of Teachers' Content Knowledge in the Numeracy Classroom (Ngaire Davies and Karen Walker); (22) Essential Differences between High and Low Performers' Thinking about Graphically-Oriented Numeracy Items (Carmel M. Diezmann, Tom J. Lowrie and Nahum Kozak); (23) High School Students' Use of Patterns and Generalizations (Jaguthsing Dindyal); (24) The Teacher, The Tasks: Their Role in Students' Mathematical Literacy (Katherine Doyle); (25) Informal Knowledge and Prior Learning: Student Strategies for Identifying and Locating Numbers on Scales (Michael Drake); (26) Documenting the Knowledge of Low-Attaining Third- and Fourth-Graders: Robyn's and Bel's Sequential Structure and Multidigit Addition and Subtraction (David Ellemor-Collins, Robert Wright and Gerard Lewis); (27) Interdisciplinary Modelling in the Primary Mathematics Curriculum (Lyn English); (28) Students' Tendency to Conjoin Terms: An Inhibition to Their Development of Algebra (Judith Falle); (29) Towards "Breaking the Cycle of Tradition" in Primary Mathematics (Sandra Frid and Len Sparrow); (30) Exploring the Number Knowledge of Children to Inform the Development of a Professional Learning Plan for Teachers in the Ballarat Diocese as a Means of Building Community Capacity (Ann Gervasoni, Teresa Hadden and Kathie Turkenburg); (31) Technology-Enriched Teaching of Secondary Mathematics: Factors Influencing Innovative Practice (Merrilyn Goos and Anne Bennison); (32) Supporting an Investigative Approach to Teaching Secondary School Mathematics: A Professional Development Model (Merrilyn Goos, Shelley Dole, and Katie Makar); (33) Identity and Mathematics: Towards a Theory of Agency in Coming to Learn Mathematics (Peter Grootenboer and Robyn Zevenbergen); (34) Categorisation of Mental Computation Strategies to Support Teaching and to Encourage Classroom Dialogue (Judy Hartnett); (35) Student Experiences of VCE Further Mathematics (Sue Helme and Stephen Lamb); (36) Video Evidence: What Gestures Tell Us About Students' Understanding of Rate of Change (Sandra Herbert and Robyn Pierce); (37) The Role of Dynamic Interactive Technological Tools in Preschoolers' Mathematical Patterning (Kate Highfield and Joanne Mulligan); (38) Students Representing Mathematical Knowledge through Digital Filmmaking (Geoff Hilton); (39) What Does it Mean for an Instructional Task to be Effective? (Lynn Hodge, Jana Visnovska, Qing Zhao and Paul Cobb); (40) A School-Community Model for Enhancing Aboriginal Students' Mathematical Learning (Peter Howard and Bob Perry); (41) Benchmarking Preservice Teachers' Perceptions of their Mentoring for Developing Mathematics Teaching Practices (Peter Hudson); (42) Relational or Calculational Thinking: Students Solving Open Number Equivalence Problems (Jodie Hunter); (43) Scaffolding Small Group Interactions (Roberta Hunter); (44) Numeracy in Action: Students Connecting Mathematical Knowledge to a Range of Contexts (Chris Hurst); and (45) A Story of a Student Fulfilling a Role in the Mathematics Classroom (Naomi Ingram). Volume 2 contains the following papers: (1) Secondary-Tertiary Transition: What Mathematics Skills Can and Should We Expect This Decade? (Nicolas Jourdan, Patricia Cretchley and Tim Passmore); (2) The Power of Writing for all Pre-service Mathematics Teachers (Keith McNaught); (3) "Connection Levers:" Developing Teachers' Expertise with Mathematical Inquiry (Katie Makar); (4) Acquiring the Mathematics Register in te reo Maori (Tamsin Meaney, Uenuku Fairhall and Tony Trinick); (5) Teaching Ratio and Rates for Abstraction (Mike Mitchelmore, Paul White and Heather McMaster); (6) Setting a Good Example: Teachers' Choice of Examples and their Contribution to Effective Teaching of Numeracy (Tracey Muir); (7) Developing the Concept of Place Value (Mala Saraswathy Nataraj and Michael O. J. Thomas); (8) Interdisciplinary Learning: Development of Mathematical Confidence, Value, and the Interconnectedness of Mathematics Scales (Dawn Kit Ee Ng and Gloria Stillman); (9) Mathematical Methods and Mathematical Methods Computer Algebra System (CAS) 2006--Concurrent Implementation with a Common Technology Free Examination (Pam Norton, David Leigh-Lancaster, Peter Jones and Michael Evans); (10) A Concrete Approach to Teaching Symbolic Algebra (Stephen Norton and Jane Irvin); (11) Developing Positive Attitudes towards Algebra (Stephen Norton and Jane Irvin); (12) Changing Our Perspective on Measurement: A Cultural Case Study (Kay Owens and Wilfred Kaleva); (13) Enhancing Student Achievement in Mathematics: Identifying the Needs of Rural and Regional Teachers in Australia (Debra Panizzon and John Pegg); (14) The Growth of Early Mathematical Patterning: An Intervention Study (Marina Papic and Joanne Mulligan); (15) Whole Number Knowledge and Number Lines Help to Develop Fraction Concepts (Catherine Pearn and Max Stephens); (16) Identifying and Analysing Processes in NSW Public Schooling Producing Outstanding Educational Outcomes in Mathematics (John Pegg, Debra Panizzon and Trevor Lynch); (17) Teachers Research their Practice: Developing Methodologies that Reflect Teachers' Perspectives (Ruth Pritchard and Linda Bonne); (18) Teacher Professional Learning in Mathematics: An Example of a Change Process (Pauline Rogers); (19) Seeking Evidence of Thinking and Mathematical Understandings in Students' Writing (Anne Scott); (20) Utilising the Rasch Model to Gain Insight into Students' Understandings of Class Inclusion Concepts in Geometry (Penelope Serow); (21) Exploring Teachers' Numeracy Pedagogies and Subsequent Student Learning across Five Dimensions of Numeracy (Jane Skalicky); (22) The Complexities for New Graduates Planning Mathematics Based on Student Need (Carole Steketee and Keith McNaught); (23) Students' Emerging Algebraic Thinking in the Middle School Years (Max Stephens); (24) A Framework for Success in Implementing Mathematical Modelling in the Secondary Classroom (Gloria Stillman, Peter Galbraith, Jill Brown and Ian Edwards); (25) Eliciting Positive Student Motivation for Learning Mathematics (Peter Sullivan and Andrea McDonough); (26) Learning from Children about their Learning with and without ICT using Video-Stimulated Reflective Dialogue (Howard Tanner and Sonia Jones); (27) Dependency and Objectification in a Year 7 Mathematics Classroom: Insights from Sociolinguistics (Steve Thornton); (28) Pedagogical Practices with Digital Technologies: Pre-service and Practicing Teachers (Colleen Vale); (29) Procedural Complexity and Mathematical Solving Processes in Year 8 Mathematics Textbook Questions (Jill Vincent and Kaye Stacey); (30) Designing Effective Professional Development: How do we Understand Teachers' Current Instructional Practices? (Jana Visnovska); (31) "Doing Maths:" Children Talk About Their Classroom Experiences (Fiona Walls); (32) The Role of Pedagogy in Classroom Discourse (Margaret Walshaw and Glenda Anthony); (33) Australian Indigenous Students: The Role of Oral Language and Representations in the Negotiation of Mathematical Understanding (Elizabeth Warren, Janelle Young and Eva deVries); (34) Student Change Associated with Teachers' Professional Learning (Jane Watson, Kim Beswick, Natalie Brown and Rosemary Callingham); (35) Choosing to Teach in the "STEM" Disciplines: Characteristics and Motivations of Science, ICT, and Mathematics Teachers (Helen M. G. Watt, Paul W. Richardson and James Pietsch); (36) Percentages as Part Whole Relationships (Paul White, Sue Wilson, Rhonda Faragher and Mike Mitchelmore); (37) My Struggle with Maths May Not Have Been a Lonely One: Bibliotherapy in a Teacher Education Number Theory Unit (Sue Wilson); (38) Students' Conceptual Understanding of Equivalent Fractions (Monica Wong and David Evans); (39) Statistics Teachers as Scientific Lawyers (Joanne Woodward and Maxine Pfannkuch); (40) Developing Pedagogical Tools for Intervention: Approach, Methodology, and an Experimental Framework (Robert Wright, David Ellemor-Collins and Gerard Lewis); (41) Pedagogy and Interactive Whiteboards: Using an Activity Theory Approach to Understand Tensions in Practice (Robyn Zevenbergen and Steve Lerman); (42) International Perspectives on Early Years Mathematics (Jillian Fox); (43) Early Childhood Mathematics Education Research: What is Needed Now? (Bob Perry and Sue Dockett); (44) Trimangles and Kittens: Mathematics Within Socio-dramatic Play in a New Zealand Early Childhood Setting (Shiree Lee); (45) Children's Number Knowledge in the Early Years of Schooling (Ann Gervasoni); (46) Listening to Students' Voices in Mathematics Education (Brian Doig, Susie Groves, Coral Campbell, Judith Mousley, and Gaye Williams); (47) Students' Pedagogical Knowledge: A Source of Pedagogical Content Knowledge (Brian Doig and Susie Groves); (48) Research Enriched by the Student Voice (Gaye Williams); (49) Listening to Student Opinions about Group Assessment (Judith Mousley and Coral Campbell); (50) Profiles of Thinking Skills and Levels of Motivation in a Problem-Solving Task (Sarah Buckley, Mary Ainley and Pip Pattison); (51) An Investigation of Mathematics Strategies in Traditional School Contexts and Real-World Contexts (Julie Clark and Kathy Brady); (52) Maori Student's Perspective on Their Mathematical Journey Through Maori Medium (Leeana Herewini); (53) Some Methodological Considerations in the Estonian Study about Students' Beliefs in Mathematics: Is Triangulation Necessary? (Kirsti Kislenko); (54) Progress in Mathematics--Learning through Home School Partnership (Denise Smith and Gaynor Terrill); (55) Exploring Data Representation and Statistical Reasoning through Integrated Investigations in a Grade 2 Classroom (Karen Ahearn); (56) Reform and Assessment Practice: The Need for an Investigation (Julie Anderson); (57) Autobiographical Research and Mathematics Curriculum (Andy Begg); (58) Mathematically Gifted Students Managing School Transfer (Brenda Bicknell); (59) Improving Procedures for Effective Teaching (Murray Black, Farida Kachapova and Ilias Kachapov); (60) Using Counter-Examples and Paradoxes in Teaching Probability: Students' Attitudes (Murray Black, Farida Kachapova, Sergiy Klymchuk and Ilias Kachapov); (61) Using Cabri Geometry to Explore the Geometric Properties of Parallelograms in Year 7 Mathematics Classrooms (Sahar Bokosmaty); (62) Defining Teacher Knowledge Needed in the Teaching of Statistics at Primary School Level (Tim Burgess); (63) Year 12 Students' Participation in Higher Mathematics Courses (Mohan Chinnappan, Stephen Dinham, Tony Herrington and Dale Scott); (64) Pre-service Primary Teachers Developing Positive Attitudes towards Teaching Mathematics (Julie Clark); (65) Measuring the Effectiveness and Efficiency of Language-In-Use for Algebra Learning: A Multi-Level Nested Modelling and DEA Approach (Robert de la Serna); (66) Te Poutama Tau (TPT): An Indigenous Response to the Numeracy Development Project 2002-2006 (Wini Emery and Leeana Herewini); (67) "I Have a Fear of Maths and it Does Worry Me a Bit as a Future Teacher:" The Cycle of Maths Anxiety (Gillian Frankcom); (68) Using Electronic Handwriting and Tablet PCs to Enhance Distance Students' Understanding of First Year Mathematics at University (Linda Galligan, Birgit Loch, Janet Taylor and Christine McDonald); (69) Mathematical Modelling in CAS Clothing (Vince Geiger, Rhonda Faragher and Trevor Redmond); (70) The Cognitive and Pedagogical Affordances of Digital Learning Tools on Early Mathematical Development (Kristy Goodwin, Joanne Mulligan and John Hedberg); (71) Revisions and Extensions of a Pirie-Kieren-Based Teaching Model (Peter Hughes); (72) An Insight into Norwegian Students' Thoughts about Mathematics (Kirsti Kislenko); (73) The Impact of Didactical Contract on Students' Perceptions of their Intentional Learning Acts (Troels Lange and Tamsin Meaney); (74) The Impact of an Intervention on the Development of Mathematical Pattern and Structure in the First Year of Schooling (Joanne Mulligan, Mike Mitchelmore, Coral Kemp, Jennie Marston and Kate Highfield); (75) Activity Theory as a Framework to Analyse the Positive Influence of Formative Assessment on Student Learning (Trish O'Toole); (76) Teaching Geometry with CAS in the Junior Secondary Classroom: A Case Study (Warren Palmer); (77) Wanted: One Great Maths Teacher! (Pamela Perger); (78) Building Early Childhood Educators' Knowledge, Skills and Confidence in the Facilitation and Assessment of Young Children's Mathematical Learning (Bob Perry, Elspeth Harley and Sue Dockett); (79) CAS in the Middle Secondary Years: Strengths, Weaknesses, Opportunities and Threats (Robyn Pierce); (80) Myths and Positioning: Insights from Hermeneutics (Steve Thornton); (81) Misconceptions in Locating Negative Decimals on the Number Line (Wanty Widjaja, Kaye Stacey and Vicki Steinle); and (82) Proportional Reasoning: A Global or Localised Development? (Vince Wright). [Individual papers contain references, figures, tables, and appendices.

The IADIS CELDA 2012 Conference intention was to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There had been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a fast pace and affecting academia and professional practice in many ways. Paradigms such as just-in-time learning, constructivism, student-centered learning and collaborative approaches have emerged and are being supported by technological advancements such as simulations, virtual reality and multi-agents systems. These developments have created both opportunities and areas of serious concerns. This conference aimed to cover both technological as well as pedagogical issues related to these developments. The IADIS CELDA 2012 Conference received 98 submissions from more than 24 countries. Out of the papers submitted, 29 were accepted as full papers. In addition to the presentation of full papers, short papers and reflection papers, the conference also includes a keynote presentation from internationally distinguished researchers. Individual papers contain figures, tables, and references.

This document contains the second volume of the proceedings of the 30th Annual Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 60 research reports by presenters with last names beginning between Abr and Dri: (1) The Odds of Understanding the Law of Large Numbers: A Design for Grounding Intuitive Probability in Combinatorial Analysis (Dor Abrahamson and Rose M. Cendak); (2) Imaginary-Symbolic Relations, Pedagogic Resources and the Constitution of Mathematics for Teaching in In-Service Mathematics Teacher Education (Jill Adler and Zain Davis); (3) Relationship between Pre-Service Mathematics Teachers' Teaching and Learning Beliefs and Their Practices (Hatice Akkoc and Feral Ogan-Bekiroglu); (4) Teachers' Awareness of Dimensions of Variation: A Mathematics Intervention Project (Thabit Al-Murani); (5) The Student Teacher and the Others: Multimembership on the Process of Introducing Technology in the Classroom (Nelia Amado and Susana Carreira); (6) Improving Student Teachers' Understanding of Fractions (Solange Amorim Amato); (7) Autodidactic Learning of Probabilistic Concepts through Games (Miriam Amit and Irma Jan); (8) Graduate Students' Processes in Generating Examples of Mathematical Objects (Samuele Antonini); (9) Reasoning in an Absurd World: Difficulties with Proof by Contradiction (Samuele Antonini and Maria Alessandra Mariotti); (10) Will Penelope Choose Another Bridegroom? Looking for an Answer through Signs (Ferdinando Arzarello, Luciana Bazzini, Francesca Ferrara, Ornella Robutti, Cristina Sabena, and Bruna Villa); (11) Motivation and Perceptions of Classroom Culture in Mathematics of Students across Grades 5 to 7 (Chryso Athanasiou and George N. Philippou); (12) Deductive Reasoning: Different Conceptions and Approaches (Michal Ayalon and Ruhama Even); (13) The Tendency to Use Intuitive Rules among Students with Different Piagetian Cognitive Levels (Reuven Babai); (14) Coming to Appreciate the Pedagogical Uses of CAS (Lynda Ball and Kaye Stacey); (15) Students' Conceptions of "m" and "c": How to Tune a Linear Function (Caroline Bardini and Kaye Stacey); (16) A Contradiction between Pedagogical Content Knowledge and Teaching Indications (Ibrahim Bayazit and Eddie Gray); (17) Identifying and Supporting Mathematical Conjectures through the Use of Dynamic Software (David Benitez Mojica and Manuel Santos Trigo); (18) Students Constructing Representations for Outcomes of Experiments (Palma Benko and Carolyn A. Maher); (19) Logarithms: Snapshots from Two Tasks (Tanya Berezovski and Rina Zazkis); (20) Trying to Reach the Limit--The Role of Algebra in Mathematical Reasoning (Christer Bergsten); (21) Semiotic Sequence Analysis--Constructing Epistemic Types Empirically (Angelika Bikner-Ahsbahs); (22) Service Teaching: Mathematical Education of Students of Client Departments (Erhan Bingolbali, John Monaghan, and Tom Roper); (23) Students' Thinking about the Tangent Line (Irene Biza, Constantinos Christou, and Theodossios Zachariades); (24) Habermas' Theory of Rationality as a Comprehensive Frame for Conjecturing and Proving in School (Paulo Boero); (25) Extending Students' Understanding of Decimal Numbers via Realistic Mathematical Modeling and Problem Posing (Cinzia Bonotto); (26) Different Media, Different Types of Collective Work in Online Continuing Teacher Education: Would You Pass the Pen, Please? (Marcelo C. Borba and Rubia B. A. Zulatto); (27) Reformulating "Mathematical Modelling" in the Framework of the Anthropological Theory of Didactics (Marianna Bosch, Fco. Javier Garcia, Josep Gascon, and Luisa Ruiz Higueras); (28) Students' Impressions of the Value of Games for the Learning of Mathematics (Leicha A. Bragg); (29) The Transition from Arithmetic to Algebra: To Reason, Explain, Argue, Generalize and Justify (Trygve Breiteig and Barbro Grevholm); (30) Resisting Reform Pedagogy: Teacher and Learner Contributions (Karin Brodie); (31) Manifestations of Affordances of a Technology-Rich Teaching and Learning Environment (TRTLE) (Jill P. Brown); (32) Types of Representations of the Number Line in Textbooks (Alicia Bruno and Noemi Cabrera); (33) Educational Neuroscience: New Horizons for Research in Mathematics Education (Stephen R. Campbell); (34) Variability in a Probability Context: Developing Pre-Service Teachers' Understanding (Daniel L. Canada); (35) Implementing a Reform-Oriented Mathematics Syllabus: A Survey of Secondary Teachers (Michael Cavanagh); (36) Student's Modelling with a Lattice of Conceptions in the Domain of Linear Equations and Inequations (Hamid Chaachoua, Marilena Bittar, and Jean-Francois Nicaud); (37) Using Reading and Coloring to Enhance Incomplete Prover's Performance in Geometry Proof (Ying-Hao Cheng and Fou-Lai Lin); (38) Aspects of Teachers' Pedagogical Content Knowledge for Decimals (Helen Chick, Monica Baker, Thuy Pham, and Hui Cheng); (39) Collaborative Action Research on Implementing Inquiry-Based Instruction in an Eighth Grade Mathematics Class: An Alternative Mode for Mathematics Teacher Professional Development (Erh-Tsung Chin, Yung-Chi Lin, Yann-Tyng Ko, Chi-Tung Chien, and Hsiao-Lin Tuan); (40) Routine and Novel Mathematical Solutions: Central-Cognitive or Peripheral-Affective Participation in Mathematics Learning (Mei-Shiu Chiu); (41) The Role of Self-Generated Problem Posing in Mathematics Exploration (Victor V. Cifarelli and Jinfa Cai); (42) A Longitudinal Study of Children's Mental Computation Strategies (Barbara Clarke, Doug M. Clarke, and Marj Horne); (43) Assessing Fraction Understanding Using Task-Based Interviews (Doug M. Clarke, Michal Sukenik, Anne Roche, and Annie Mitchell); (44) Evaluation of a Teaching Concept for the Development of Problem Solving Competences in Connection with Self-Regulation (Christina Collet and Regina Bruder); (45) Developing Probability Thinking in Primary School: A Case Study on the Constructive Role of Natural Language in Classroom Discussions (Valeria Consogno, Teresa Gazzolo, and Paulo Boero); (46) Collaboration with Teachers to Improve Mathematics Learning: Pedagogy at Three Levels (Tom J. Cooper, Annette R. Baturo, and Edlyn J. Grant); (47) "Aim High--Beat Yourself": Effective Mathematics Teaching in a Remote Indigenous Community (Tom J. Cooper, Annette R. Baturo, Elizabeth Warren, and Edlyn J. Grant); (48) Development of Children's Understanding of Length, Area, and Volume Measurement Principles (Margaret Curry, Michael Mitchelmore, and Lynne Outhred; (49) Mathematics-for-Teaching: The Cases of Multiplication and Division (Brent Davis, Elaine Simmt, and Dennis Sumara); (50) Generative Concept Images (Gary E. Davis and Catherine A. Pearn); (51) Developmental Assessment of Data Handling Performance Age 7-14 (Pauline Davis, Maria Pampaka, Julian Williams, and Lawrence Wo); (52) The Effect of Different Teaching Tools in Overcoming the Impact of the Intuitive Rules (Eleni Deliyianni, Eleni Michael, and Demetra Pitta-Pantazi); (53) Investigating Social and Individual Aspects in Teacher's Approaches to Problem Solving (Fien Depaepe, Erik De Corte, and Lieven Verschaffel); (54) Maths Avoidance and the Choice of University (Pietro Di Martino and Francesca Morselli); (55) Primary Students' Reasoning about Diagrams: The Building Blocks of Matrix Knowledge (Carmel M. Diezmann); (56) Integrating Errors into Developmental Assessment: "Time" for Ages 8-13 (Brian Doig, Julian Williams, Lawrence Wo, and Maria Pampaka); (57) Vygotsky's Everyday Concepts/Scientific Concepts Dialectics in School Context: A Case Study (Nadia Douek); (58) Creating Mathematical Models with Structures (Katherine Doyle); (59) Mechanisms for Consolidating Knowledge Constructs (Tommy Dreyfus, Nurit Hadas, Rina Hershkowitz, and Baruch Schwarz); and (60) Reconciling Factorizations Made with CAS and with Paper-and-Pencil: The Power of Confronting Two Media (Paul Drijvers, Carolyn Kieran, Andre Boileau, Fernando Hitt, Denis Tanguay, Luis Saldanha, and Jose Guzman). (Individual papers contain references.)

The theme of the 38th meeting of the International Group for the Psychology of Mathematics Education (PME 38) and the 36th meeting of the North American Chapter of the Psychology of Mathematics Education (PME-NA 36) was "Mathematics Education at the Edge." Academically, the theme provides opportunities to highlight and examine mathematics education research that is: (1) breaking new ground or on the cutting edge of innovative research and research methodologies; and (2) exploring issues with groups that are often positioned at the edge or periphery of educational research, such as social justice, peace education, equity, and Indigenous education. Geographically, the theme "Mathematics Education at the Edge" describes the very place of the conference setting, Vancouver, a city situated at the edge of Canada on the Pacific Ocean and Coast Mountain Range. The papers in the six volumes of these proceedings are organized according to the type of presentation. Volume 1 contains the presentations of the plenary speakers, Research Forum activities, Discussion Group activities, Working Session activities and the National Presentation of mathematics education in Canada. Volumes 2-5 contain the Research Reports of the conference, while Volume 6 consists of the Short Oral and Poster Presentations. The organization of PME 2014 is a collaborative effort involving teams of colleagues at the University of British Columbia and Simon Fraser University.

This conference proceedings contains 65 presentations and 3 colloquiums from a conference that dealt with knowledge at work and knowledge that works and with how education can be successfully integrated into work and work into education. The papers are "Reading the Contexts of Complex Incidents of Adult Education Practice" (Apte); "Models of Work Based Learning for Undergraduates" (Armsby et al.); "Just-in-Time Training as Anticipative Action and as Inferential Understanding" (Beckett); "Learning to Compete" (Beckett et al.); "Co-Participation at Work" (Billett); "Globalization, Work, and Education" (Boland); "Work as the Curriculum" (Boud, Solomon); "Working Towards a Curriculum Framework for Work-Related Learning" (Brown); "Evaluating Organizational Change" (Butler et al.);"New Knowledge and the Construction of Vocational Education and Training (VET) Practitioners" (Chappell); "Facing Realities" (Cornford); "Subcontractors in the Australian Construction Industry" (Crowley et al.); "Learning; Design; Practice; Practitioner Perspectives of Workplace Learning" (Cys); "Learning at the Point of Production" (Daly, Mjelde); "Teaching Online" (Dewar, Whittington); "Spirituality of Work" (Dirkx); "Learning to Work" (Eames); "A Working Ethic?" (Edwards); "Transforming Management Education's Working Knowledge" (Elliott); "Negotiating Knowledge in the Knowledge Economy" (Farrell); "Work Knowing on the Fly" (Fenwick); "Productive Learning at Work" (FitzSimons); "Teachers Redefining Professionalism and Professional Development" (Gambell, Hunter); "Modelling the Invisible" (Gamble); "The New Capitalism" (Gee); "Conceptions of Learning" (Hager); "Recognition of Prior Learning in Higher Education" (Harris); "Promoting Knowledge Sharing in a Training and Further Education Organization" (Hill); "Incentives and Barriers to Learning in the Workplace" (Hodkinson et al.); "Reflections on Empowerment, Workplace Language and Literacy Policy, and Professional Development in England" (Holland); "Enabling Productive Learning at Work" (Holland, Leggett); "Learning Through Working" (Hopkins, Maglen); "Supervisor and Facilitation" (Hughes); "Writing-Up People at Work" (Jackson); "Whiteness as a Social Construct That Drives Continuing Education" (Johnson-Bailey, Cervero); "Knowledge Workers and the Office Economy" (Kurth); "Teaching with Global Awareness" (Lekoko); "Accrediting and Assessing Learning at Work" (Lyons); "Working Knowledge and Work-Based Learning" (McIntyre); "Working Knowledge in Management and Medicine" (Mulcahy); "Workplace Learning from a Curriculum Perspective" (Munby et al.); "The 'Good' Teacher?" (Nicoll); "Professional Identity as Learning Processes in Life Histories" (Olesen); "Local Perspectives on Globalization and Learning" (Payne); "Implementing Work-Based Learning in Higher Education" (Reeve, Gallacher); "Working Knowledge, Economic Metaphors, and the 'Cogito-Economic' Subject" (Rhodes, Garrick); "Technical and Vocational Education in China" (Rongguang); "Preparing Undereducated and Unemployed Parents for the Workplace Through Effective Family Literacy Programs in Texas" (Seaman, Seaman); "Working Knowledge of Online Learning Amongst VET Practitioners" (Schofield et al.); "Working Knowledge for New Educational Landscapes" (Seddon); "Links Between Corporate and Academic Research" (Shannon, Sekhon); "Towards a Definition of Work Based Learning" (Shaw); "Relationships Between R (Research) & D (Development) and Decision-Making in VET" (Smith); "Context Variety Means Four Stories?" (Smid); "Reflecting upon Experiences" (Staley); "Ordering the Menu" (Symes); "Critical Literacy, Cultural Inclusiveness, and Text Selection in English for Academic Purposes Courses" (Thompson); "Communicative Practices in Web-Enhanced Collaborative Learning" (Treleaven et al.); "Role of Emotion in Situated Learning and Communities of Practice" (Turnbull); "Alternative Conception of Competence" (Velde); "Learning in/Through/with Struggle" (von Kotze); "More Things Change" (Wallace); "Deschooled Learning" (Whittington, McLean); "Quality Online Participation" (Wiesenberg, Hutton); and "Emergence of New Types of Communities of Practice" (Young, Mitchell). (YLB)