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For the thirty-sixth year, the Research and Theory Division of the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the annual AECT Convention in Anaheim, California. The Proceedings of AECT's Convention are published in two volumes. Volume 1 contains papers dealing primarily with research and development topics. Papers dealing with the practice of instructional technology including instruction and training issues are contained in Volume 2. (Individual papers contain references.) [For Volume 2, see ED546878.]

For the twenty-ninth year, the Research and Theory Division of the Association for Educational Communications and Technology (AECT) is sponsoring the publication of these Proceedings. Papers published in this volume were presented at the National AECT Convention in Orlando, Florida. The Proceedings of AECT's Convention are published in two volumes. Volume 1 contains papers dealing primarily with research and development topics. (Individual papers contain references, figures, and tables.) [For Volume 2, see ED499959.]

Timely analysis of trends and issues in TVE can help TVE stakeholders cope with rather than oppose them. Educating in the direction of the trend and resolving the important issues can maximize TVE's chance of success. The purpose of this paper was to identify trends and issues in the TVE in 10 Indo-Pacific countries. To achieve this purpose, a cross-country analysis with a word cloud analysis was employed. Consequently, the following nine trends were identified: (1) Accelerated adaptation to emerging technologies and the evolution of industry; (2) Improving or diversifying TVE accessibility and increasing the enrollment rate; (3) Enhancing alignment between the TVE and higher education sectors; (4) Promoting employment-based, work-based, or competency-based learning models; (5) Strengthening TVE educators'/trainers' practical skills, industrial working experience, or qualification requirements; (6) Gearing TVE with lifelong learning; (7) Encouraging employer or industry involvement in TVE; (8) Enhancing quality assurance and autonomy in the TVE system; and (9) Providing more career counseling or career exploration. In addition, the following six issues were identified: (1) TVE does not have the same positive public image as academic education; (2) Insufficiency of qualified TVE trainers/teachers; (3) Extreme challenges to teach hands-on skills online; (4) Weak involvement of social partners; (5) Fragmentation of TVET management; and (6) The continued lack of a well-constructed qualification framework and quality assurance system.

"Proceedings of International Conference on Humanities, Social and Education Sciences" includes full papers presented at the International Conference on Humanities, Social and Education Sciences (iHSES) which took place on April 22-25, 2021 in New York, USA-www.ihses.net. The aim of the conference is to offer opportunities to share ideas, to discuss theoretical and practical issues and to connect with the leaders in the fields of humanities, education and social sciences. The conference is organized annually by the International Society for Technology, Education, and Science (ISTES)-www.istes.org. The iHSES invites submissions which address the theory, research or applications in all disciplines of humanities, education and social sciences. The iHSES is organized for: faculty members in all disciplines of humanities, education and social sciences, graduate students, K-12 administrators, teachers, principals and all interested in humanities, education and social sciences. After peer-reviewing process, all full papers are published in the Conference Proceedings.

This book contains a compilation of papers presented at the International Conference on Education and New Developments (END 2017), organized by the World Institute for Advanced Research and Science (W.I.A.R.S.). Education, in our contemporary world, is a right since we are born. Every experience has a formative effect on the constitution of the human being, in the way one thinks, feels and acts. One of the most important contributions resides in what and how we learn through the improvement of educational processes, both in formal and informal settings. The International Conference seeks to provide some answers and explore the processes, actions, challenges and outcomes of learning, teaching and human development. The goal is to offer a worldwide connection between teachers, students, researchers and lecturers, from a wide range of academic fields, interested in exploring and giving their contribution in educational issues. We take pride in having been able to connect and bring together academics, scholars, practitioners and others interested in a field that is fertile in new perspectives, ideas and knowledge. We counted on an extensive variety of contributors and presenters, which can supplement our view of the human essence and behavior, showing the impact of their different personal, academic and cultural experiences. This is, certainly, one of the reasons we have many nationalities and cultures represented, inspiring multi-disciplinary collaborative links, fomenting intellectual encounter and development. END 2017 received 581 submissions, from 55 different countries, reviewed by a double-blind process. Submissions were prepared to take form of Oral Presentations, Posters, Virtual Presentations and Workshops. The conference accepted for presentation 176 submissions (30% acceptance rate). The conference also includes a keynote presentation from an internationally distinguished researcher, Professor Lizbeth Goodman, Chair of Creative Technology Innovation and Professor of Inclusive Design for Learning at University College Dublin; Founder/Director of SMARTlab, Director of the Inclusive Design Research Centre of Ireland, Founder of The MAGIC Multimedia and Games Innovation Centre, Ireland, to whom we express our most gratitude. This conference addressed different categories inside the Education area and papers are expected to fit broadly into one of the named themes and sub-themes. To develop the conference program we have chosen four main broad-ranging categories, which also covers different interest areas: (1) In TEACHERS AND STUDENTS: Teachers and Staff training and education; Educational quality and standards; Curriculum and Pedagogy; Vocational education and Counseling; Ubiquitous and lifelong learning; Training programs and professional guidance; Teaching and learning relationship; Student affairs (learning, experiences and diversity; Extra-curricular activities; Assessment and measurements in Education. (2) In PROJECTS AND TRENDS: Pedagogic innovations; Challenges and transformations in Education; Technology in teaching and learning; Distance Education and eLearning; Global and sustainable developments for Education; New learning and teaching models; Multicultural and (inter)cultural communications; Inclusive and Special Education; Rural and indigenous Education; Educational projects. (3) In TEACHING AND LEARNING: Educational foundations; Research and development methodologies; Early childhood and Primary Education; Secondary Education; Higher Education; Science and technology Education; Literacy, languages and Linguistics (TESL/TEFL); Health Education; Religious Education; Sports Education. (4) In ORGANIZATIONAL ISSUES: Educational policy and leadership; Human Resources development; Educational environment; Business, Administration, and Management in Education; Economics in Education; Institutional accreditations and rankings; International Education and Exchange programs; Equity, social justice and social change; Ethics and values; Organizational learning and change, Corporate Education. This book contains the results of the research and developments conducted by authors who focused on what they are passionate about: to promote growth in research methods intimately related to teaching, learning and applications in Education nowadays. It includes an extensive variety of contributors and presenters, who will extend our view in exploring and giving their contribution in educational issues, by sharing with us their different personal, academic and cultural experiences. We would like to express thanks to all the authors and participants, the members of the academic scientific committee, and of course, to our organizing and administration team for making and putting this conference together. [This document contains the proceedings of END 2017: International Conference on Education and New Developments (Lisbon, Portugal, June 24-26, 2017).]

These proceedings contain the papers of the International Conference e-Learning 2017, which was organised by the International Association for Development of the Information Society, 20-22 July, 2017. This conference is part of the Multi Conference on Computer Science and Information Systems 2017, 20-23 July, which had a total of 652 submissions. The e-Learning (EL) 2017 conference aims to address the main issues of concern within e-Learning. This conference covers both technical as well as the non-technical aspects of e-Learning. The conference accepted submissions in the following seven main areas: (1) Organisational Strategy and Management Issues; (2) Technological Issues; (3) e-Learning Curriculum Development Issues; (4) Instructional Design Issues; (5) e-Learning Delivery Issues; (6) e-Learning Research Methods and Approaches; and (7) e-Skills and Information Literacy for Learning. The conference also included one keynote presentation from Thomas C. Reeves, Professor Emeritus of Learning, Design and Technology, College of Education, The University of Georgia, USA. The full papers presented at these proceedings include: (1) Game Changer For Online Learning Driven by Advances in Web Technology (Manfred Kaul, André Kless, Thorsten Bonne and Almut Rieke); (2) E-Learning Instructional Design Practice in American and Australian Institutions (Sayed Hadi Sadeghi); (3) A Game Based E-Learning System to Teach Artificial Intelligence in the Computer Sciences Degree (Amable de Castro-Santos, Waldo Fajardo and Miguel Molina-Solana); (4) The Next Stage Of Development of e-Learning at UFH in South Africa (Graham Wright, Liezel Cilliers, Elzette Van Niekerk and Eunice Seekoe); (5) Effect of Internet-Based Learning in Public Health Training: An Exploratory Meta-Analysis (Ying Peng and Weirong Yan); (6) Enhancing a Syllabus for Intermediate ESL Students with BYOD Interventions (Ewa Kilar-Magdziarz); (7) Post Graduations in Technologies and Computing Applied to Education: From F2F Classes to Multimedia Online Open Courses (Bertil P. Marques, Piedade Carvalho, Paula Escudeiro, Ana Barata, Ana Silva and Sandra Queiros); (8) Towards Architecture for Pedagogical and Game Scenarios Adaptation in Serious Games (Wassila Debabi and Ronan Champagnat); (9) Semantic Modelling for Learning Styles and Learning Material in an e-Learning Environment (Khawla Alhasan, Liming Chen and Feng Chen); (10) Physical Interactive Game for Enhancing Language Cognitive Development of Thai Pre-Schooler (Noppon Choosri and Chompoonut Pookao); (11) From a CV to an e-Portfolio: An Exploration of Adult Learner's Perception of the ePortfolio as a Job Seeking Tool (John Kilroy); (12) The Emotional Geographies of Parent Participation in Schooling: Headteachers' Perceptions in Taiwan (Hsin-Jen Chen and Ya-Hsuan Wang); (13) Geopolitical E-Analysis Based on E-Learning Content (Anca Dinicu and Romana Oancea); (14) Predictors of Student Performance in a Blended-Learning Environment: An Empirical Investigation (Lan Umek, Nina Tomaževic, Aleksander Aristovnik and Damijana Keržic); (15) Practice of Organisational Strategies of Improving Computer Rooms for Promoting Smart Education Using ICT Equipment (Nobuyuki Ogawa and Akira Shimizu); (16) Why Do Learners Choose Online Learning: The Learners' Voices (Hale Ilgaz and Yasemin Gulbahar); and (17) Enhancing Intercultural Competence of Engineering Students via GVT (Global Virtual Teams)-Based Virtual Exchanges: An International Collaborative Course in Intralogistics Education (Rui Wang, Friederike Rechl, Sonja Bigontina, Dianjun Fang, Willibald A. Günthner and Johannes Fottner). Short papers presented include: (1) Exploring Characteristics of Fine-Grained Behaviors of Learning Mathematics in Tablet-Based E-Learning Activities (Cheuk Yu Yeung, Kam Hong Shum, Lucas Chi Kwong Hui, Samuel Kai Wah Chu, Tsing Yun Chan, Yung Nin Kuo and Yee Ling Ng); (2) Breaking the Gendered-Technology Phenomenon in Taiwan's Higher Education (Ya-Hsuan Wang); (3) Ontology-Based Learner Categorization through Case Based Reasoning and Fuzzy Logic (Sohail Sarwar, Raul García-Castro, Zia Ul Qayyum, Muhammad Safyan and Rana Faisal Munir); (4) Learning Factory--Integrative E-Learning (Peter Steininger); (5) Intercultural Sensibility in Online Teaching and Learning Processes (Eulalia Torras and Andreu Bellot); (6) Mobile Learning on the Basis of the Cloud Services (Tatyana Makarchuk); (7) Personalization of Learning Activities within a Virtual Environment for Training Based on Fuzzy Logic Theory (Fahim Mohamed, Jakimi Abdeslam and El Bermi Lahcen); and (8) Promoting Best Practices in Teaching and Learning in Nigerian Universities through Effective E-Learning: Prospects and Challenges (Grace Ifeoma Obuekwe and Rose-Ann Ifeoma Eze). Reflection papers include the following: (1) A Conceptual Framework for Web-Based Learning Design (Hesham Alomyan); (2) The Key to Success in Electronic Learning: Faculty Training and Evaluation (Warren Matthews and Albert Smothers); (3) Using Games, Comic Strips, and Maps to Enhance Teacher Candidates' e-Learning Practice in The Social Studies (Nancy B. Sardone); (4) Scanner Based Assessment in Exams Organized with Personalized Thesis Randomly Generated via Microsoft Word (Romeo Teneqexhi, Margarita Qirko, Genci Sharko, Fatmir Vrapi and Loreta Kuneshka); (5) Designing a Web-Based Asynchronous Innovation/Entrepreneurism Course (Parviz Ghandforoush); and (6) Semantic Annotation of Resources to Learn with Connected Things (Aymeric Bouchereau and Ioan Roxin). Posters include: (1) Development of a Framework for MOOC in Continuous Training (Carolina Amado and Ana Pedro); and (2) Information Literacy in the 21st Century: Usefulness and Ease of Learning (Patricia Fidalgo and Joan Thormann). Also included is a Doctorial Consortium: E-Learning Research and Development: On Evaluation, Learning Performance, and Visual Attention (Marco Ruth). An author index is provided and individual papers include references.

This study uses data from TEDS-M to explore and compare possible individual-based and institutional-based predictors of future secondary mathematics teachers' readiness to teach in Taiwan, Germany, and the United States. Across the three countries, future teachers' intrinsic motivation to become teachers and the consistency of courses arrangement in the institutions where they studied were significant predictors of teaching readiness. Future teachers' highest grade level of mathematics studied at secondary school was a predictor of teaching readiness only in Taiwan, whereas the motivation derived from the empathy of prior learning experience was a predictor of teaching readiness in Germany and the United States, but not in Taiwan. [For the complete proceedings, see ED597799.]

The Research Institute for Higher Education (RIHE) at Hiroshima University established a program of research on the Changing Academic Profession (CAP) in 2005. The first conference of this new project was held in Hiroshima in February 2011. This conference was organized by the Research Institute for Higher Education, Hiroshima University, Japan in cooperation with Hijiyama University, Japan. The following papers are presented at the conference: (1) Universities Reforms in Japan (Tsuyoshi Enomoto); (2) International Trends in the Academic Profession from a Japanese Perspective (Akira Arimoto); (3) The Rise of Asian Research Universities: Focus on the Context (William K. Cummings); (4) Is There an Asian Academic Profession? Common and Diverse Features in Comparative Perspective (Ester Ava Hohle and Ulrich Teichler); (5) The Same Term but Different Connotations: Cultural and Historical Perspectives on Studying the Academic Profession in Asia (Fengqiao Yan); (6) The Academic Profession in East Asia: Change and Realities (Futao Huang); (7) The Academic Profession in Japan: Work, Careers and Scholarship (Hideto Fukudome); (8) The Academic Profession in Malaysia 2010: A Proposed Study (Vincent Pang, Morshidi Sirat, Aida Suraya Md Yunus, Ambigapathy Pandian, Fauziah Mohd. Taib; Munir Shuib, Norzaini Azman, Koo Yew Lie, Shukran Abdul Rahman, Rosni Bakar, Lay Yooh Fah, Ramayah Thurasamy, Worran Kabul, Roszehan Md. Idrus, Lai Yew Meng, and Mohd. Rahimie Abd. Rahim); (9) The Korean Academic Profession Revisited: Academic Activity, Performance and Governance (Jung Cheol Shin); (10) The Internationalization of Universities in South Korea: Networking Strategies and Research Performance (Soo Jeung Lee and Yangson Kim); (11) The Changing Taiwanese Academic Profession: From Regulation to Supervision (Hsiou-Hsia Tai and Chia-Yu Chen); (12) Connect ASEAN: Promoting Regional Integration in Higher Education in Southeast Asia (Supachai Yavaprabhas); (13) The U.S. as a Prototype for an Asian Academic Profession: What Does That Prototype Really Look Like? (Martin J. Finkelstein); and (14) Changes in and Issues of Academic Profession in Asia (Futao Huang). Appended are: (1) Conference Program; and (2) List of Participants. Individual papers contain figures, tables, references and footnotes.

The first volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents plenary lectures; research forums; discussion groups; working sessions; short oral communications; and posters from the meeting. Plenary lecture papers include: (1) On Humanistic Mathematics Education: A Personal Coming of Age? (Chris Breen); (2) Certainty, Explanation and Creativity in Mathematics (Michael Otte); (3) I Need the Teacher to Tell Me If I Am Right or Wrong (Anna Sierpinska); and (4) School Mathematics and Cultivation of Mind (Jeong-Ho Woo). Plenary panel papers include: (1) Introduction to the PME Plenary Panel, "School Mathematics for Humanity Education" (Koeno Gravemeijer); (2) Humanizing the Theoretical and the Practical for Mathematics Education (Cristina Frade); (3) Making Mathematics More Mundane--A Semiotic Approach (Willibald Dorfler); (4) Mathematics: A Human Potential (Martin A. Simon); and (4) Need for Humanising Mathematics Education (Masataka Koyama). The first research forum, Learning through Teaching: Development of Teachers' Knowledge in Practice (RF01) includes: (1) A View on the Teachers' Opportunities to Learn Mathematics through Teaching (Roza Leikin and Rina Zazkis); (2) Integrating Virtual and Face-to-Face Practice: A Model for Continuing Teacher Education (Marcelo C. Borba); (3) Teachers' Learning Reified: The Professional Growth of Inservice Teachers through Numeracy Task Design (Peter Liljedahl); (4) Constraints on What Teachers Can Learn from their Practice: Teachers' Assimilatory Schemes (Martin A. Simon); and (5) What and How Might Teachers Learn via Teaching: Contributions to Closing an Unspoken Gap (Ron Tzur). The second research forum, Researching Change in Early Career Teachers (RF02), includes: (1) Introduction (Peter Sullivan); (2) Researching Relief of Mathematics Anxiety among Pre-Service Elementary School Teachers (Markku S. Hannula, Peter Liljedahl, Raimo Kaasila, and Bettina Rosken);(3) Teachers' Learning from Learning Studies: An Example of Teaching and Learning Fractions in Primary Four (Lo Mun Ling and Ulla Runesson); (4) Tracking Teachers' Learning in Professional Development Centered on Classroom Artifacts (Lynn T. Goldsmith and Nanette Seago); (5) Teacher Change in the Context of Addressing Students' Special Needs in Mathematics (Orit Zaslavsky and Liora Linchevski); (6) Researching Change in Prospective and Beginning Teachers (Laurinda Brown and Alf Coles); and (7) Summary and Conclusions (Markku S. Hannula). Information relating to discussion groups, working sessions, short oral communications, and poster presentations conclude this volume of the 31st proceedings. (Individual papers contain references.)

This volume of the 30th annual proceedings of the International Group for the Psychology of Mathematics Education conference presents: plenary panel papers; research forum papers; short oral communication papers; and poster presentation papers from the meeting. Information relating to discussion groups and working sessions is also provided. Plenary lecture papers include: (1) Mathematics, didactical engineering and observation (G. Brousseau); (2) A Semiotic View of the Role of Imagery and Inscriptions in Mathematics Teaching and Learning (N. Presmeg); (3) School Mathematics as a Developmental Activity (S. Stech); and (4) PME 1 to 30--Summing Up And Looking Ahead (P. Tsamir and D. Tirosh). Plenary panel papers include: (1) The Necessity of Collaborations between Mathematicians and Mathematics Educators (Z. Gooya); (2) Generic versus Subject Specific Pedagogy (S. Groves); (3) How Can Schools Put Mathematics in Their Centre? (K. Krainer); and (4) Mathematics in the Centre (T. Rojano). The first research forum (RF01) includes: (1) Seeing More and Differently (L. Brown and A. Coles); (2) Joint Reflection as a Way to Cooperation between Researchers and Teachers (A. Hospesova, J. Machackova, and M. Ticha); (3) Opening the Space of Possibilities (A. Lebethe, N. Eddy, and K. Bennie); (4) Diverse Roles, Shared Responsibility (J. Novotna and A. Pelantova); (5) Research with Teachers (L. Poirier); (6) Developing a Voice (G. Rosen); and (7) Learning about Mathematics and about Mathematics Learning through and in Collaboration (V. Zack and D. Reid). The second research forum (RF02) includes: Exemplification in Mathematics Education (L. Bills, T. Dreyfus, J. Mason, P. Tsamir, A. Watson, and O. Zaslavsky). The third research forum (RF03) includes: (1) Conceptual Change in Mathematics Learning (D. Tirosh and P. Tsamir); (2) Aspects of Students' Understanding of Rational Numbers (X. Vamvakoussi and S. Vosniadou); (3) Conceptual Change in the Number Concept (K. Merenluoto and E. Lehtinen); (4) The Linear Imperative (W. Van Dooren, D. De Bock, and L. Verschaffel); (5) Conceptual Change in Advanced Mathematical Thinking (I. Biza and T. Zachariades); (6) Students' Interpretation of the Use of Literal Symbols in Algebra (K. P. Christou and S. Vosniadou); (7) The Dilemma of Mathematical Intuition in Learning (L. B. Resnick); and (8) Designing for Conceptual Change (B. Greer). Short oral communications papers include: (1) The Mathematics Teachers' Conceptions about the Possible Uses of Learning Objects from RIVED-Brazil Project (C. A. A. P. Abar and L. S. de Assis); (2) On the Way to Understanding Integration (S. Abdul-Rahman); (3) The Impact of Graphic-Calculator Use on Bedouin Students' Learning Functions (M. Abu-Naja and M. Amit); (4) How to Put It All Together? (M. Alagic); (5) Reading Mathematics Textbook as a Storybook (S. E. Anku); (6) Naming and Referring to Quantities When Solving Word Problems in a Spreadsheet Environment (D. Arnau and L. Puig); (7) If It Divides by 4, It Must Divide by 8 (J. Back); (8) Universal and Existential Mathematical Statements (R. Barkai, T. Dreyfus, D. Tirosh, and P. Tsamir); (9) Situtations, Linear Functions and the "Real World" (G. Benke); (10) The Relationship between High School Mathematics and Career Choices among High Achieving Young Women (S. B. Berenson, J. J. Michael, and M. Vouk); (11) Students' Understanding of Ambiguity in Symbols (K. P. Blair); (12) Reform-Oriented Teaching Practices and the Influence of School Context (J. Bobis and J. Anderson); (13) Approaching Linear (In)Dependence with Example-Generation (M. Bogomolny); (14) Metaphors in Teacher's Discourse (J. Bolite Frant, V. Font, and J. Acevedo); (15) Designing Instructional Programs that Facilitate Increased Reflection (J. Bowers and S. Nickerson); (16) Conformism in Teaching Mathematics (A. Braverman, P. Samovol, and M. Applebaum); (17) Constructing Multiplication (J. Brocardo, L. Serrazina, and I. Rocha); (18) The Trigonometric Connection (S. A. Brown); (19) Student Beliefs and Attitudes from Poetry Writing in Statistics (M. Bulmer, B. Lea, and K. Rolka); (20) The Teaching of Proof in Textbooks (R. Cabassut); (21) Classroom: A Learning Context for Teachers (A. P. Canavarro); (22) An Investigation of Differences in Performance in Mathematics between Parallel Students and Normal Entry Students at the Polytechnic--University of Malawi (P. C. Chamdimba); (23) A Study on Eliciting the Formula for the Area of Triangle from Students' Structuring of Tile Arrays and Figure Reconstructions (J.-H. Chen and S.-K. S. Leung); (24) Decision Making at Uncertainty (E. Chernoff and R. Zazkis); (25) A Study on Implementating Inquiry-Based Teaching to Facilitate Secondary School Students' Learning in the Retaking Mathematics Course (E.-T. Chin, C.-Y. Chen, C.-Y. Liu, and C.-P. Lin); (26) Girls Excelled Boys in Learning Geometric Transformation Using Tessellations (S. Choi-Koh and H. Ko); (27) A National Survey of Young Children's Understanding of Basic Time Concepts (J. Chung and C.-C. Yang); (28) An Exploration of the Mathematical Literacy of Irish Student Primary School Teachers (D. Corcoran); (29) Mathematics Teachers' Knowledge and Practice (J. P. da Ponte and O. Chapman); (30) Psychological Aspects of Students Thinking at the Stage of Graphical Representation in the Process of Investigation of Functions (M. Dagan); (31) Formative Feedback and Mindful Teaching of Undergraduate Mathematics (G. E. Davis and M. A. McGowen); (32) Mathematics Education in the South and Western Pacific (A. J. Dawson); (33) Teacher Meditation of Technology-Supported Graphing Activity (R. Deaney, S. Hennessy, and K. Ruthven); (34) A Categorization of Difficulties Encountered by 13-to-15-Year-Olds while Selecting Inverse Algebraic Operation (A. Demby); (35) "It's Infinity" (T. Dooley); (36) What Is to Be Known? (J.-P. Drouhard); (37) "The Most Normal Path" (M. Droujkova, S. Berenson, G. Mojica, K. Slaten, and H. Wilson); (38) Exploratory Mathematics Talk in Friendship Groups (J.-A. Edwards); (39) Conceptual Basis of Proof (L. D. Edwards); (40) In-Service Education under Market Conditions (L. R. Ejersbo); (41) Statements of Problems and Students' Choices between Linear or Non-Linear Models (C. Esteley, M. Villarreal, and H. Alagia); (42) Equity and Quality Mathematics Education (G. Frempong); (43) Is Sensitivity for the Complexity of Mathematics Teaching Measurable? (T. Fritzlar); (44) By Using the Outcome-Based Approach to Strengthen Students' Learning Capabilities (A. T.-F. Fung and K.-M. Leung); (45) Patterns of Students' Interactions while Doing Geometric Proofs in Groups (F. L. Gallos); (46) Dialogue: A Tool for Creating Mathematical Proof (S. Gholamazad); (47) Beginning Teachers in Mathematical Inquiry (B. Graves and C. Suurtamm); (48) Learning Trajectory of Fraction in Elementary Education Mathematics (S. Hadi); (49) Elementary Education Students' Affect towards and Advancement in Mathematics (M. S. Hannula, R. Kaasila, E. Pehkonen, and A. Laine); (50) Pre-Service Mathematics Teachers (B. Hartter and J. Olson); (51) Effectiveness of Video-Case Based Elementary Mathematics Teacher Training (R. Huang and J. Bao); (52) Improving Students' Level of Geometrical Thinking through Teacher's Regulating Roles (M. Imprasitha); (53) What's the Connection between Ears and Dice (I. Jan and M. Amit); (54) Tactile Perception in 3D Geometry (D. Jirotkova and G. Littler); (55) High Achieving Students' Conceptions of Limits (K. Juter); (56) Reading Visual Representations of Data with Kindergarten Children (S. Kafoussi); (57) Students' Use of Gestures to Support Mathematical Understandings in Geometry (L. H. Kahn); (58) Mathematical Abilities for Developing Understanding of Formal Proof (E. Kapetanas and T. Zachariades); (59) An Analysis of Connections between Errors and Prior Knowledge in Decimal Calculation (J. Kim, J. Pang, and K. Song); (60) Insights into Primary Teachers' Interpretations of Students' Written Answers in Mathematics (A. Klothou and H. Sakonidis); (61) The Role of Proof (S. Kmetic); (62) A Comparison of Mathematically Gifted and Non-Gifted Students in Intuitively Based, Probabilistic Misconception (E. S. Ko, B. H. Choi, and E. H. Lee); (63) Exploring Teaching and Learning of Letters in Algebra (A. Kullberg and U. Runesson); (64) Teaching Mathematics to Indigenous Students and Pupils from Multicultural Backgrounds (E. K. Lam); (65) Limitations of a Partitive Fraction Scheme in Developing Multiplicative Reasoning about Fractions (H. S. Lee); (66) Teachers' Reflection and Self-Assessment through the Use of a Videotape of Their Own Mathematics Instruction (S. Lee and J. Pang); (67) A Case Study on the Introducing Methods of the Irrational Numbers Based on the Freudenthal's Mathematising Instruction (Y. R. Lee); (68) A Case Study of an Elementary School Teacher's Professional Development on Mathematics Teaching in Context (Y.-C. Leu, C.-H. Hsu, and W.-L. Huang); (69) "But after All, We'll Need This for School" (N. Leufer and S. Prediger); (70) Developing Primary Students' Cognitive Skills through Interactive Mathematics Lessons (K.-M. Leung); (71) A Study on the Effects of Multiple Representation Curriculum on Fraction Number Learning Schemes for Fourth Grade Children (S.-K. S. Leung and I.-J. Wang); (72) Teachers' Knowledge about Definitions (E. Levenson and T. Dreyfus); (73) Supporting Teachers on Maintaining High-Level Instructional Tasks in Classroom by Using Research-Based Cases (P.-J. Lin); (74) Towards an Anti-Essentialist View of Technology in Mathematics Education (B. Lins and C. H. de Jesus Costa); (75) Comparing Teaching of Common Mathematical Tasks in Different Countries (G. Littler and M. Tzekaki); (76) New Approach of Neurocognition in Mathematical Education Research and further Implications (C. Liu, F.-L. Lin, and C.-N. Dai); (77) Reasoning and Generalizing about Functional Relationship in a Grade 2 Classroom (S. London McNab); (78) The MathematicalPerformances in Solving the Norming Problem (H.-L. Ma); (79) The Education of Reasoning (E. Macmillan); (80) The Effect of Rephrasing Word Problems on the Achievements of Arab Students in Mathematics (A. Mahajne and M. Amit); (81) An Approach to Eary Algebra Using Technology as an Enhancement (C. A. Maher and G. Gjone); (82) Teachers' Beliefs and Competencies of Creative Mathematical Activities (B. Maj); (83) Manipulative Representation (N. Mark-Zigdon and D. Tirosh); (84) Language, Power and Mathematics Learning (M. Mathye and M. Setati); (85) Children Learning as Participation in Web-Based Communities of Practice (J. F. Matos and M. Santos); (86) Recognizing Mathematical Competences (J. F. Matos, M. Santos, and M. Mesquita); (87) Mathematics Teachers' Preparation Program (A. S. Md. Yunus, R. Hamzah, H. Ismail, S. K. S. Hussain, and M. R. Ismail); (88) Mathematics Register Acquisition (T. Meaney); (89) Development of Spatial Abilities (H. Meissner); (90) An Encounter between Queer Theory and Mathematics Education (H. Mendick); (91) Establishing a Mathematics Learning Community in the Study of Mathematics for Teaching (J. Mgombelo and C. Buteau); (92) Talking Mathematics in a Second Language (H. Miranda); (93) Objects in Motion (I. Miranda, L. Radford, and J. G. Hernandez); (94) Researching the Appearance of Mathematical Argumentation (C. Misailidou); (95) Teachers' Pedagogical Content Knowledge in the Teaching of Quadrilaterals (I. A. C. Mok and M. Y. H. Park); (96) Out-of-School Experts in Mathematics Classes (J. Monaghan); (97) A Sequel to Trends in International Mathematics and Science Study (TIMSS), 2003, in Botswana (S. M. Montsho); (98) The Pattern and Structure Mathematics Awareness Project (PASMAP) (J. Mulligan and M. Mitchelmore); (99) Primary Pupils' Mathematics Achievement (C. Opolot-Okurut); (100) Images of Functions Defined in Pieces (R. Ovodenko and P. Tsamir); (101) A Comparative Analysis of Elementary Mathematics Textbooks of Korea and Singapore (J. Pang and H. Hwang); (102) Substitutions on Algebraic Statements, Based on Associations in Natural Reasoning (M. Panizza); (103) Virtual Learning Environments and Primary Teachers' Professional Development (M. C. Penalva-Martinez and C. Rey-Mas); (104) Cypriot Preservice Primary School Teachers' Subject-Matter Knowledge of Mathematics (M. Petrou); (105) Phenomenological Mathematics Teaching (P. Portaankorva-Koivisto); (106) Using the Debate to Educate Future Teachers of Mathematics (J. Proulx); (107) Surprise on the Way from Change of Length to Change of Area (N. Prusak, N. Hada, and R. Hershkowitz); (108) Discovering of Regularity (by 11-Years-Old Children) (M. Pytlak); (109) Using Manipulatives to Teach Students in College Developmental Math Classes about Fractions (S. L. Reynolds and E. B. Uptegrove); (110) Sixth Graders' Ability to Generalize Patterns in Algebra (F. Rivera and J. Rossi Becker); (111) Variety of Representational Environments in Early Geometry (F. Roubicek); (112) From Research on Using Problems Related to Functional Equations as Multifunctional Tools for Revealing Subject Mater Knowledge of Functions in Future Mathematics Teachers (M. Sajka); (113) Expert and Novice Primary Teachers' Intervening in Students' Mathematical Activity (H. Sakonidis, M. Kaldrimidou, and M. Tzekaki); (114) Examining Teachers' Reflections about Mathematics Teaching, Learning, and Assessment (V. M. Santos-Wagner); (115) Analyzing Students' Thought Process in Revealing Correspondence between Formulas and Geometrical Objects (P. Satianov and M. Dagan); (116) "No Need to Explain, We Had the Same" (K. Schreiber); (117) Characteristics of Malaysian Students' Understanding about Functions (S. A. Sh. Abdullah); (118) Mathematical Induction via Conceptual Representation (A. Sharif-Rasslan); (119) Exploring the Meanings of Events in Mathematics Classroom from Learners' Perspective (Y. Shimizu); (120) A Study on the Law of Large Numbers Instruction through Computer Simulation (B.-M. Shin and K.-H. Lee); (121) Mathematics Learning Quality for Gifted Junior High School Students in Taiwan (H.-Y. Shy, C.-H. Liang, and W.-M. Liang); (122) A Preservice Teacher's Growth in Subject Matter Knowledge while Planning a Trigonometry Lesson (K. M. Slaten); (123) Comparing Numbers: Counting-Based and Unit-Based Approaches (H. Slovin); (124) Mathematically Gifted 6th Grade Korean Students' Proof Level for a Geometric Problem (S Song, Y. Chong, J. Yim, and H. Chang); (125) Probability Reasoning Level of Gifted Students in Mathematics (S. Song, K. Lee, G. Na, and D. Han); (126) Analysis of Mathematically Gifted 5th and 6th Grade Students' Process of Solving "Straight Line Peg Puzzle" (S. Song, J. Yim, Y. Chong, and J. Kim); (127) Standard Mathematics Discourses of Developmental Algebra Undergraduates (S. K. Staats); (128) Novice Students, Experienced Mathematicians, and Advanced Mathematical Thinking Processes (E. Stadler); (129) The "Soil" of Extended Problems: The Cultural Background of the Chinese Mathematics Teaching Practice (X. Sun and N.-Y. Wong); (130) Immersion in Mathematical Inquiry: The Experiences of Beginning Teachers (C. Suurtamm and B. Graves); (131) The Whole Idea (S. Tobias); (132) The Teaching Modes (R. A. Tomas Ferreira); (133) Didactic Decisions (J. Trgalova and I. Lima); (134) Evaluating a Large-Scale National Program for Incorporating Computational Technologies to Mathematics Classrooms (M. Trigueros and A. I. Sacristan); (135) Symmetry: Equality or a Dynamic Transformation? (K. Tselepidis and C. Markopoulos); (136) Teaching Children to Count (F. Turner); (137) Student Conceptions and Textbook Messages (B. Ubuz); (138) Students' Errors in Transforming Terms and Equations (A. Ulovec and A. Tollay); (139) Mathematics with Technology (S. Ursini, G. Sanchez, and D. Santos); (140) Francisca Uses Decimal Numbers (M. E. Valedmoros Alvarez and E. F. Ledesma Ruiz); (141) Development of Numerical Estimation in Grade 1 to 3 (M. van Galen and P. Reitsma); (142) Mathematics Education and Neurosciences (MENS) (F. van Nex and T. Gebuis); (143) Symbolizing and Modeling to Promote a Flexible Use of the Minus Sign in Algebraic Operations (J. Vlassis); (144) An Analysis of Preservice Teachers' Estimation Strategies within the Context of Whole Numbers, Fractions, Decimals, and Percents (T. N. Volkova); (145) What Does It Mean to Interpret Students' Talk and Actions? (T. Wallach and R. Even); (146) The Research of Co-Teaching Math between Experienced and Preservice Teachers in Elementary School (J.-H. Wang); (147) The Influence of Teaching on Transforming Math Thinking (T.-Y. Wang and F.-J. Hsieh); (148) Searching for Common Ground (J. Watson, L. Webb, L. King, and P. Webb); (149) Are Beliefs and Practices Congruent or Disjoint? (L. Webb and P. Webb); (150) Working Memory and Children's Mathematics (M. Witt and S. Pickering); (151) Mathematics Education Reform in the United States (T. Wood); (152) A Modeling Perspective on Problem Solving in Students' Mathematics Project (F.-M. Yen and C.-K. Chang); and (153) Development of a Questionnaire to Measure Teachers' Mathematics-Related Beliefs (S.-Y. Yu and C.-K. Chang). Poster presentations include: (1) A Comparative Analysis of Mathematics Achievement and Attitudes of Male and Female Students in Botswana Secondary Schools (A. A. Adeyinka); (2) Logical-Mathematical Learning for Student with Down's Syndrome (R. M. Aguilar, A. Bruno, C. S. Gonzalez, V. Munoz, A. Noda, and L. Moreno); (3) The Math Fair as a Bridge between Mathematics and Mathematics Education, the University and Elementary or Junior High School (M. Beisiegel); (4) One Teaching Episode from a Learner's, an Observer's and a Teacher's Point of View (H. Binterova and J. Novotna); (5) A Framework for Studying Curricular Effects on Students' Learning (J. Cai and J. C. Moyer); (6) Preservice Elementary Teachers' Conceptual Understanding of Word Problems (O. Chapman); (7) Mathematics Education and School Failure (P.Chaviaris and S. Kafoussi); (8) Enhancing the Seventh Graders' Learning on Equality Axiom and Linear Equation through Inquiry-Oriented Teaching and Integrated Mathematics and Science Curriculum (K.-J. Chen, S.-Y. Yu, E.-T. Chin, and H.-L. Tuan); (9) To Conjecture the Staff Development Model of Mathematical Teacher According to Spark's Theory (Y.-T. Chen and S. Leou); (10) Discovery of Implementing Teaching by Discussion in Mathematics Classrooms (J. Chung); (11) Modeling Teachers' Questions in High School Mathematics Classes (S. Dalton, G. Davis, and S. Hegedus); (12) My Assistant, a Didactic Tool of Mathematics for Primary School Teachers (N. de Bengoechea-Olguin); (13) A Model to Interpret Teacher's Practices in Technology-Based Environment (N. C. Dedeoglu); (14) The Gnomon (P. Delikanlis); (15) The Teacher's Proactive Role in the Context of Word Problem Solving by Young Beginners in Algebra (I. Demonty); (16) Students' Geometrical Thinking Development at Grade 8 in Shanghai (L. Ding and K. Jones); (17) An Interdisciplinary Perspective on Learning to Teach Mathematical Writing (H. M. Doerr, K. Chandler-Olcott, and J. O. Masingila); (18) Multiplication Models (D. Droujkov and M. Droujkova); (19) Quantitative Grids and Cyclic Patterns (D. Droujkov and M. Droujkova); (20) Learners' Influence in Computer Environments (M. Droujkova nd D. Droujkov); (21) Alleviating Obstructions to Learning (D. Easdown); (22) Knowledge and Interpretation of Teachers to the School Content of Proportionality (H. Enriquez Ramirez and E. Jimenez de la Rosa Barrios); (23) Mathematical Flexibility in the Domain of School Trigonometry (C. Fi); (24) "Moving Fluidly among Worlds" (S. Gerofsky); (25) Making Practice Studyable (H. Ghousseini and L. Sleep); (26) Cognitive Roots for the Concept of Asymptote (V. Giraldo, M. Chaves, and E. Belfort); (27) Flemish and Spanish High School Students' Mathematics-Related Beliefs Systems (I. M. Gomez-Chacon, P. Op't Eynde, and E. De Corte); (28) Cube Nets (M.Hejny and D. Jirotkova); (29) From Word Notation of Relations between Constants and Unknown to Algebraic Notation (Pretest) (J. Herman); (30) Mathematics and Community Capacity Building (P. Howard and B. Perry); (31) A Study on the Mathematical Thinking in Learning Process (C.J.-Hsieh and F.-J. Hsieh); (32) A Case Study on Pre-Service Teachers Making Mathematical Model of Voronoi-Diagram (C.-T. Hu and T.-Y. Tso); (33) A Fast-Track Approach to Algebra for Adults (R. Hubbard); (34) The Validity of On-Screen Assessment of Mathematics (S. Hughes); (35) After Using Computer Algebra System, Change of Students' Rationales and Writing (I. K. Kim); (36) Using a Socrates' Method in a Course of Mathematics Education for Future Mathematics Teachers (N. H. Kim); (37) Beyond Visual Level (G. Kospentaris and T. Spirou); (38) Videopapers and Professional Development (T. Lima Costa and H. Nascentes Coelho); (39) Concurrent Calibration Design for Mathematics Learning Progress Investigation (C.-J. Lin, P.-H. Hung, and S. Lin); (40) Further Insights into the Proportion Reasoning and the Ratio Concept (C. Liu, F.-L. Lin, W. Kuo, and I.-L. Hou); (41) Coursework Patterns between Mathematics and Science among Secondary Students (X. Ma); (42) Beginning the Lesson (C. Mesiti and D. Clarke); (43) Development of Web Environment for Lower Secondary School Mathematics Teachers with 3D Dynamic Geometry Software (M. Miyazaki, H. Arai, K. Chino, F. Ogihara, Y. Oguchi, and T. Morozumi); (44) The Effect of the Teacher's Mode of Instruction inside Math Classrooms with a Computer (S. Mochon and M. E. F. Olvera); (45) Mathematics Education in Rural Schools (J. Mousley and G. Marks); (46) Mathematically Gifted Students' Conception of Infinity (G. Na and E. Lee); (47) A Good Moment in Time to Stop "Shying Away from the Nature of Our Subject"? (E. Nardi); (48) Toward Real Change through Virtual Communities (K. T. Nolan); (49) Powerful Ideas, Learning Stories and Early Childhood Mathematics (B. Perry, E.Harley, and S. Dockett); (50) Tracing the Development of Knowledge about Mathematics Teaching (C. Rey-Mas and C. Penalva-Martinez); (51) Preschool Children's Number Sense (L. de C. Ribeiro and A. G. Spinillo); (52) A First Approach to Students' Learning of Mathematical Contents (G. Sanchez-Matamoros and I. Escudero); (53) Young Children's Mathematics Education within a Philosophical Community of Inquiry (A. Sawyer); (54) Learning Mathematics in Austria (H. Schwetz and G. Benke); (55) The Influence of a Mathematician on His Students' Perceptions (A. Sharif-Rasslan); (56) Analysis on the Algebraic Generalization of Some Korean Mathematically Promising Elementary Students (S. Song, J. Yim, Y. Chong, and E. Park); (57) Students' Linguistic Strategies for Shared Authority in Undergraduate Algebra Discussions (S. Staats); (58) Contrasting Decimal Conceptions of Adult and School Students (K. Stacey and V. Steinle); (59) Mathematical Writing and the Development of Understanding (N. Stehlikova); (60) Enhancing Teachers' Professional Development through Developing Teaching Norms Based on Developing Classroom Learning Norms (W.-H. Tsai); (61) The Features in the Process of Mathematical Modeling with Dynamic Geometric Software (T.-Y. Tso); (62) Finding Instructive Characteristics of Picture Books that Support the Learning of Mathematics (S. van den Boogaard and M. van den Heuvel-Panhuizen); (63) High School Course Pathways of High Achieving Girls (P. H. Wilson, G. F. Mojica, K. M. Slaten, and S. B. Berenson); (64) The Developmental Stages of Representations of Simple Regular Space Figures of Elementary School Students (D.-B. Wu, J.-L. Ma, and D.-C. Chen); (65) How to Assess Mathematical Thinking? (S. Yesildere and E. B. Turnuklu); and (66) Lasting Effects of a Professional Development Initiative (S. Zehetmeier). (Individual papers contain 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 first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary lectures include: (1) Modelling Students' Learning in Argumentation and Mathematics Proof (Fou-Lai Lin); (2) Travelling the Road to Expertise (Stacey); (3) Telling Identities (Sfar and Prusak); and (4) Co-Constructing Artefacts and Knowledge in Net-Based Teams (Reimann). The plenary panel section includes: (1) What Do Studies Like PISA Mean to the Mathematics Education Community? (Jones); (2) From a Profile to the Scrutiny of Student Performance (Yoshinori); (3) The PISA-Study (Neubrand); (4) Some Results from the PISA 2003 International Assessment of Mathematics Learning (Kieran); and (5) The Foundation and Spectacle of [the Leaning Tower of] PISA (Williams). The first research forum (RF01) includes: (1) Not Everything Is Proportional (De Brock, Van Dooren, and Verschaffel); (2) Designing Instruction on Proportional Reasoning with Average Speed (Gravemeijer, van Galen, and Keijzer); (3) Folding Perimeters (Friedlander and Arcavi); and (4) The Dolls' House Classroom (Ainley and Pratt). The second research forum (RF02) includes: (1) Shaping a Multi-Dimensional Analysis of Signs (Arzarello, Ferrara, Robutti, Paola, and Sabena); (2) Working with Artefacts (Bussi and Maschietto); (3) The Role of Gestures in Mathematical Discourse (Edwards); (4) Connecting Talk, Gesture, and Eye Motion for the Microanalysis of Mathematics Learning (Ferrara and Nemirovsky); (5) Why Do Gestures Matter? Gestures as Semiotic Means of Objectification (Radford); (6) Gestures, Signs and Mathematisation (Williams); and (7) Building Intellectual Infrastructure to Expose and Understand Ever-Increasing Complexity (Kaput). The third research forum (RF03) includes: (1) Using Growth Points to Describe Pathways for Young Children's Number Learning (Gervasoni); (2) Number Attainment in Sri Lankan Primary Schools (Hart); and (3) Mathematics Recovery (Pearn). The fourth research forum (RF04) includes: (1) The Place of Theory in Mathematics Education Research (Lester, Jr.); (2) Theories of Mathematics Education (Lerman); (3) The Articulation of Symbol and Mediation in Mathematics Education (Armella); (4) Using Theory to Advance Our Understandings of Student Cognitive Development (Pegg and Tall); (5) Trends in the Evolution of Models and Modeling Perspectives on Mathematical Learning and Problem Solving (Lesh and English); and (6) Issues and Tendencies in German Mathematics-Didactics (Torner and Sriraman). (Individual papers contain references.)

These proceedings contain an introduction and 26 papers arranged in five sections: (1) People's Republic of China and Taiwan (Republic of China); (2) Hong Kong, Singapore, and Thailand; (3) Korea; (4) Japan and the Western Pacific; and (5) United States. Paper titles and authors are as follows: "Recent Social Security Policies and Developments in the People's Republic of China (PRC)" (Liu); "Long-Term Care for the Elderly in China" (Liang, Gu); "Retirement Policy, Health and Social Services for the Elderly in Shanghai" (Wong); "Informal Social Support Systems in China" (Liu); "Cognitive Impairment among the Elderly in Shanghai, China" (Yu et al.); "Intergenerational Relations in Contemporary China--Descriptive Findings from Shanghai" (Barusch et al.); "Family Structure and Elderly Problems in Taiwan" (Shu); "Taipei Municipal Government Budgetary Issues for Elderly Services" (Bai); "The Family as a Social Welfare Support System for the Elderly in Taipei, Taiwan, Republic of China" (Yang); "Need of the Elderly for Home Care Services in a Changing Society--The Case of Taipei Metropolitan City" (Chan); "Survey of an Interdisciplinary Study on Aging in Taipei--Sample, Instrument and Interview" (Hsieh); "Welfare Policies for the Aged on Both Sides of the Taiwan Strait--A Comparison" (Tsai); "The Coping Behavior of Caregivers in Hong Kong" (Kwan); "Segregated Housing and Residential Services for the Chinese Elderly in Hong Kong" (Ngan); "Social Support Networks for the Elderly in a High Rise Public Housing Estate in Singapore" (Cheung); "The Impact of Living Arrangements of the Elderly on Government Programs in Thailand" (Wongsith); "Operation and Development of Programs for Community Care for the Low Income Elderly in Seoul" (Cho); "Indicators of Health Status of Older People in Korea" (Koh); "The Korean-American Urban Elderly" (Kim, Kim); "The Roles of Government, Family, and the Elderly Individual Caring for Older Persons in Japan" (Maeda); "An Overview of Aging in the Western Pacific" (Andrews); "Gerontology in Higher Education in the United States" (Rich); "A Theoretical Overview of Ageism in the United States: Criticisms and Proposals toward a New Outlook" (Jan, Thacker); "Direct Care Personnel Shortages in Long-Term Care: Global Implications" (Cowart); "Quality of Care in Sheltered Housing--Regulation or Education?" (Streib); and"Financial Models for Long-Term Care: USA" (Sutton-Bell). (NLA)