Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, H-P

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ISBN 13 : 9789754292626
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Book Synopsis Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, H-P by : International Group for the Psychology of Mathematics Education. Conference

Download or read book Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, H-P written by International Group for the Psychology of Mathematics Education. Conference and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : developing mathematical thinking ; [Ankara-Turkey, July 10-15, 2011]. 3. Research reports [Hijkl-mnoP]

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ISBN 13 : 9789754292978
Total Pages : 412 pages
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Book Synopsis Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : developing mathematical thinking ; [Ankara-Turkey, July 10-15, 2011]. 3. Research reports [Hijkl-mnoP] by : Behiye Ubuz

Download or read book Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : developing mathematical thinking ; [Ankara-Turkey, July 10-15, 2011]. 3. Research reports [Hijkl-mnoP] written by Behiye Ubuz and published by . This book was released on 2011 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, A-G

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ISBN 13 : 9789754292961
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Book Synopsis Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, A-G by : International Group for the Psychology of Mathematics Education. Conference

Download or read book Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, A-G written by International Group for the Psychology of Mathematics Education. Conference and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, Q-Z

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ISBN 13 : 9789754292985
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Book Synopsis Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, Q-Z by : International Group for the Psychology of Mathematics Education. Conference

Download or read book Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Research reports, Q-Z written by International Group for the Psychology of Mathematics Education. Conference and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Plenary addresses, panel, research forums, working sessions, discusssion groups, national presentations, short oral communications, poster presentations

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ISBN 13 : 9789754292947
Total Pages : pages
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Book Synopsis Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Plenary addresses, panel, research forums, working sessions, discusssion groups, national presentations, short oral communications, poster presentations by : International Group for the Psychology of Mathematics Education. Conference

Download or read book Proceedings of the 35th Conference of the International Group for the Psychology of Mathematics Education : Developing Mathematical Thinking: Plenary addresses, panel, research forums, working sessions, discusssion groups, national presentations, short oral communications, poster presentations written by International Group for the Psychology of Mathematics Education. Conference and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Developing Mathematical Thinking

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ISBN 13 : 9789754292961
Total Pages : pages
Book Rating : 4.2/5 (929 download)

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Book Synopsis Developing Mathematical Thinking by :

Download or read book Developing Mathematical Thinking written by and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analysis of Arithmetic for Mathematics Teaching

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Publisher : Routledge
ISBN 13 : 1135440581
Total Pages : 469 pages
Book Rating : 4.1/5 (354 download)

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Book Synopsis Analysis of Arithmetic for Mathematics Teaching by : Gaea Leinhardt

Download or read book Analysis of Arithmetic for Mathematics Teaching written by Gaea Leinhardt and published by Routledge. This book was released on 2020-11-25 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.

Handbook of Research on the Psychology of Mathematics Education

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Publisher : Sense Publishers
ISBN 13 : 9077874194
Total Pages : 538 pages
Book Rating : 4.0/5 (778 download)

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Book Synopsis Handbook of Research on the Psychology of Mathematics Education by : Angel Gutiérrez

Download or read book Handbook of Research on the Psychology of Mathematics Education written by Angel Gutiérrez and published by Sense Publishers. This book was released on 2006 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compilation of the research produced by the International Group for the Psychology of Mathematics Education (PME) since its creation in 1976. The first three sections summarize cognitively-oriented research on learning and teaching specific content areas, transversal areas, and based on technology-rich environments. The fourth section is devoted to the research on social, affective, cultural and cognitive aspects of mathematics education. The fifth section includes two chapters summarizing the PME research on teacher training and professional life of mathematics teachers.

Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (31st, Seoul, Korea, July 8-13, 2007)

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ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (31st, Seoul, Korea, July 8-13, 2007) by : International Group for the Psychology of Mathematics Education

Download or read book Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (31st, Seoul, Korea, July 8-13, 2007) written by International Group for the Psychology of Mathematics Education and published by . This book was released on 2007 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second volume of the 31st annual proceedings of the International Group for the Psychology of Mathematics Education conference presents research reports for author surnames beginning Alc- through Hal-. Reports include: (1) How Do Your Students Think about Proof? A DVD Resource for Mathematicians (Lara Alcock); (2) Teachers' Conceptions of Mathematical Challenge in School Mathematics (Mark Applebaum and Roza Leikin); (3) Semiotic Games: The Role of the Teacher (Ferdinando Arzarello and Domingo Paola); (4) Examples, a Missing Link (Amir H. Asghari); (5) Scaffolding Revisited: From Tool for Result to Tool-and-Result (Mike Askew); (6) How Can We Assess Mathematical Understanding? (Patrick Barmby, Tony Harries, Steve Higgins, and Jennifer Suggate); (7) The Discursive Construction of Mathematical Thinking: The Role of Researchers' Descriptions (Richard Barwell); (8) Authority and Esteem Effects of Enhancing Remote Indigenous Teacher-Assistants' Mathematics-Education Knowledge and Skills (Annette R. Baturo, Tom J. Cooper, and Katherine Doyle); (9) Raising Students' Understanding: Linear Algebra (Marianna Bogomolny); (10) Informal Conceptions of Distribution Held by Elementary Preservice Teachers (Daniel L. Canada); (11) First Graders' Strategies for Numerical Notation, Number Reading and the Number Concept (Gabrielle A. Cayton and Barbara M. Brizuela); (12) An Exploratory Study of Elementary Beginning Mathematics Teacher Efficacy (Y.L. Chang and S.C. Wu); (13) Preservice Secondary Mathematics Teachers' Knowledge and Inquiry Teaching Approaches (Olive Chapman); (14) Developing and Testing a Scale for Measuring Students' Understanding of Fractions (Charalambos Y. Charalambous); (15) The Effectiveness and Limitation of Reading and Coloring Strategy in Learning Geometry Proof (Ying-Hao Cheng and Fou-Lai Lin); (16) Grade 5/6 Teachers' Perceptions of Algebra in the Primary School Curriculum (Helen L. Chick and Kiri Harris); (17) The Influence of Inquiry-Based MathematicsTeaching on 11th Grade High Achievers: Focusing on Metacognition (Erh-Tsung Chin, Yung-Chi Lin, Chih-Wei Chuang, and Hsiao-Lin Tuan); (18) The Effects of "Spatial Geometry Curriculum with 3D DGS" in Lower Secondary School Mathematics (Kimiho Chino, Tatsuo Morozumi, Hitoshi Arai, Fumihiro Ogihara, Yuichi Oguchi, and Mikio Miyazaki); (19) Mathematics as Mother/Basis of Science in Affect: Analysis of TIMSS 2003 Data (Mei-Shiu Chiu); (20) Mediating Model between Logo and DGS for Planar Curves (Han Hyuk Cho, Min Ho Song, and Hwa Kyung Kim); (21) Comparing Korean and U.S. Third Grade Elementary Student Conceptual Understanding of Basic Multiplication Facts (Insook Chung and Hee-Chan Lew); (22) Self-Monitoring by Lesson Reports from Teachers in Problem-Solving Maths Lessons (Christina Collet, Regina Bruder, and Evelyn Komorek); (23) Mathematics Education and Torres Strait Islander Blocklaying Students: The Power of Vocational Context and Structural Understanding (Tom J. Cooper, Annette R. Baturo, Bronwyn Ewing, Elizabeth Duus, and Kaitlin Moore); (24) Interdisciplinary Learning and Perceptions of Interconnectedness of Mathematics (Ng Kit Ee Dawn, Gloria Stillman, and Kaye Stacey); (25) The Treatment of Addition and Subtraction of Fractions in Cypriot, Irish, and Taiwanese Textbooks (Sean Delaney, Charalambos Y. Charalambous, Hui-Yu Hsu, and Vilma Mesa); (26) The Development of Primary Students' Knowledge of the Structured Number Line (Carmel Diezmann and Tom Lowrie); (27) Reasoning with Metaphors and Constructing an Understanding of the Mathematical Function Concept (Hamide Dogan-Dunlap); (28) Exploring the English Proficiency-Mathematical Proficiency Relationship in Learners: An Investigation Using Instructional English Computer Software (Anthony Essien and Mamokgethi Setati); (29) Vet in the Middle: Catering for Motivational Differences in Vocational Access Courses in Numeracy (Bronwyn Ewing, Annette Baturo, Tom Cooper, Elizabeth Duus, and Kaitlin Moore); (30) The Gendering of Mathematics in Israel and Australia (Helen J. Forgasz and David Mittelberg); (31) 21st Century Children, Numeracy and Technology: An Analysis of Peer-Reviewed Literature (Jillian L. Fox); (32) Teaching and Teacher's Competence with ICT in Mathematics in a Community of Inquiry (Anne Berit Fuglestad); (33) Statistical Inference in Textbooks: Mathematical and Everyday Contexts (Israel Garcia-Alonso and Juan Antonio Garcia-Cruz); (34) Pre-Service Elementary School Teachers' Experiences with the Process of Creating Proofs (Soheila Gholamazad); (35) International Survey of High School Students' Understanding of Key Concepts of Linearity (Carole Greenes, Kyung Yoon Chang, and David Ben-Chaim); and (36) Mathematical Beliefs in Pictures and Words Seen through "Multiple Eyes" (Stefan Halverscheid and Katrin Rolka). (Individual papers contain references.) [For other volumes in the series, see ED499416, ED499418, and ED499419.].

Proceedings of the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, Hawaii, July 13-18, 2003)

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ISBN 13 :
Total Pages : 462 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Proceedings of the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, Hawaii, July 13-18, 2003) by : International Group for the Psychology of Mathematics Education

Download or read book Proceedings of the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, Hawaii, July 13-18, 2003) written by International Group for the Psychology of Mathematics Education and published by . This book was released on 2003 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of the 27th International Group for the Psychology of Mathematics Education Conference presents the following research reports: (1) Text Talk, Body Talk, Table Talk: A Design of Ratio and Proportion as Classroom Parallel Events (Dor Abrahamson); (2) Generalizing the Context and Generalising the Calculation (Janet Ainley); (3) Interview Design for Ratio Comparison Tasks (Silvia Alatorre and Olimpia Figueras); (4) Modeling Outcomes from Probability Tasks: Sixth Graders Reasoning Together (Alice Alston and Carolyn A. Maher); (5) A Web-Based Survey to Assess Prospective Elementary School Teachers' Beliefs about Mathematics and Mathematics Learning: An Alternative to Likert Scales (Rebecca C., Ambrose, Randolph Philipp, Jennifer Chauvot, and Lisa Clement); (6) "Sensing": Supporting Student Understanding of Decimal Knowledge (Glenda Anthony); (7) Non-Examples and Proof By Contradiction (Samuele Antonini); (8) Thematization of the Calculus Graphing (Bernadette Baker, Maria Trigueros, and Laurel Cooley); (9) Attention to Mathematical Structure during Participation in a Mathematics Classroom Task By Learners of English as an Additional Language (EAL) (Richard Barwell); (10) Levels of Sophistication in Elementary Students' Reasoning about Length (Michael T. Battista); (11) Australian Indigenous Students' Knowledge of Two-Digit Numeration: Adding One Ten (Annette Baturo); (12) Using Instructional Representations of Ratio as an Assessment Tool ff Subject Matter Knowledge (Sarah B. Berenson and Rod Nason); (13) A Social Extension of a Psychological Interest Theory (Angelika Bikner-Ahsbahs); (14) Particular and General in Early Symbolic Manipulation (Liz Bills, Janet Ainley and Kirsty Wilson); (15) The Nature of Scaffolding in Undergraduate Students' Transition to Mathematical Proof (Maria Blanton, Despina A. Stylianou, and Manuela David); (16) Children's Conceptions of Infinity of Numbers in a Fifth Grade Classroom Discussion Context (Paolo Boero, Nadia Douek, and Rossella Garuti); (17) Investigating the Mathematics Incorporated in the Real World as a Starting Point for Mathematics Classroom Activities (Cinzia Bonotto); (18) Fourth Graders Solving Equations (Barbara M. Brizuela and Analucia Schliemann); (19) An Examination of How People with Diverse Background Talk about Mathematics Teaching and Learning Both Face-To-Face and On-Line (Catherine A. Brown, and Yusuf Koc); (20) Mathematical Identity in Initial Teacher Training (Tony Brown); (21) Using Research to Inform Practice: Children Make Sense of Division of Fractions (Sylvia Bulgar); (22) Developing and Connecting Calculus Students' Notions of Rate-of-Change and Accumulation: The Fundamental Theorem of Calculus (Marilyn Carson, Nanci Smith, and Joni Persson); (23) Guess My Rule Revisited (David W. Carraher and Darrell S. Earnest); (24) Building Theories: Working In A Microworld and Writing the Mathematical Notebook (Michele Cerulli and Maria Alessandra Mariotti); (25) Teacher Investigations of Students' Work: Meeting the Challenge of Attending to Students' Thinking (Michelle T. Chamberlin); (26) Teachers' Conceptions of Mathematical Word Problems: A Basis for Professional Development (Olive Chapman); (27) Testing A Comprehensive Model for Measuring Problem Solving and Problem Posing Skills of Primary Pupils (Charalambos Charalambous, Leonidas Kyriakides, and George Philippou); (28) Mathematical Proof as Formal Procept in Advanced Mathematical Thinking (Erh-Tsung Chin); (29) A Methodological Approach for Developing Rubrics for Research Purposes (Lisa Clement, Jennifer Chauvot, Randolph Philipp, and Rebecca Ambrose); (30) Curved Solids Nets (Nitsa Cohen); (31) Preservice Elementary Teachers' Solution Processes to Problematic Addition and Subtraction Word Problems Involving Ordinal Numbers and Their Interpretations of Solutions (Jose N. Contreras and Armando M. Martinez-Cruz); (32) Open-Ended Realistic Division Problems, Generalisation and Early Algebra (Tom J. Cooper and Elizabeth Warren); (33) A Cognitive Model of Experts' Algebraic Solving Methods (Anibal Cortes); (34) Learning to Investigate Students' Mathematical Thinking: The Role of Student Interviews (Sandra Crespo and Cynthia Nicol); (35) Affective Aspects on Mathematics Conceptualization: From Dichotomies to an Integrated Approach (Falcao Da Rocha, Jorge Tarcisio, Claudia Roberta De Araujo, Fernanda Andrade, Izabel Hazin, Jorge Costa Do Nascimento, and Monica Maria Lins Lessa); (36) What Can We Learn about Cognitive Learning Processes by Asking the Pupils? (Bettina Dahl); (37) Knowledge Sharing Systems: Advantages of Public Anonymity and Private Accountability (Sarah M. Davis); (38) Secondary School Students' Improper Proportional Reasoning: The Role of Direct Versus Indirect Measures (Dirk De Bock, Wim Van Dooren, Elke De Bolle, Dirk Janssens, and Lieven Verschaffel); (39) Thinking in Ordinary Lessons: What Happened When Nine Teachers Believed Their Failing Students Could Think Mathematically (Els De Geest, Anne Watson, and Steph Prestage); (40) Towards a Redefinition of the Mathematics Culture in the Classroom (Inaqui De Olaizola and Manuel Santos-Trigo); (41) Scaling Up Strategies for Change (Truus Dekker and Els Feijs); (42) Representational Ability and Understanding of Derivative (Delos Santos, Alan Gil and Michael O.J. Thomas); (43) Using Students' Ways of Thinking to Re-Cast the Tasks of Teaching about Functions (Helen M. Doerr); (44) From Oral to Written Texts in Grade 1 and the Approach to Mathematical Argumentation (Nadia Douek and Michel Pichat); (45) Young Children's Understanding of Geometric Shapes: The Role of Geometric Models (Iliada Elia, Athanasios Gagatsis, and Leonidas Kyriakides); (46) Perspective-Taking in Middle-School Mathematical Modelling: A Teacher Case Study (Lyn D. English and Helen M. Doerr); (47) Bridging Mathematical Knowledge from Different Cultures: Proposals for an Intercultural and Interdisciplinary Curriculum (Franco, M. Favilli, Luisa Oliveras, and Margarida Cesar); (48) Metaphors as Vehicles of Knowledge: An Exploratory Analysis (Francesca Ferrara); (49) Equity and Beliefs about the Efficacy of Computers for Mathematics Learning (Helen J. Forgasz); (50) Identifying a Research Agenda: The Interaction of Technology with the Teaching and Learning of Data Analysis and Statistics (Susan N. Friel); (51) To Produce Conjectures and to Prove Them within a Dynamic Geometry Environment: A Case Study (Fulvia Furinghetti and Domingo Paola); (52) "It Is Possible to Die before Being Born". Negative Integers Subtraction: A Case Study (Aurora Gallardo); (53) Evolution of Forms of Representation In a Modelling Activity: A Case Study (Rossella Garuti, Carlo Dapueto, and Paolo Boero); (54) Key Transitions in Counting Development for Young Children Who Experience Difficulty (Ann Gervasoni); (55) One Line Proof: What Can Go Wrong? (Soheila Gholamazad, Peter Liljedahl, and Rina Zazkis); (56) On Line Professional Community Development and Collaborative Discourse In Geometry (Joaquin Gimenez and Marcelo Barrial); and (57) Descriptions and Definitions in the Teaching of Elementary Calculus (Victor Giraldo, Luiz Mariano Carvalho, and David Tall). (Individual papers contain references, tables, and figures.)[For volume 1 of these proceedings, see ED500857.].

Mathematics and Cognition

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Publisher : CUP Archive
ISBN 13 : 9780521367875
Total Pages : 234 pages
Book Rating : 4.3/5 (678 download)

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Book Synopsis Mathematics and Cognition by : Pearla Nesher

Download or read book Mathematics and Cognition written by Pearla Nesher and published by CUP Archive. This book was released on 1990-02-23 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1990 book is aimed at teachers, mathematics educators and general readers who are interested in mathematics education from a psychological point of view.

Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006)

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ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006) by : International Group for the Psychology of Mathematics Education

Download or read book Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006) written by International Group for the Psychology of Mathematics Education and published by . This book was released on 2006 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document contains the third volume of the proceedings of the 30th 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 Ead and Kou: (1) Exploring Realistic Mathematics Education in English Schools (Frank Eade and Paul Dickinson); (2) Reasoning about Non-Linearity in 6- to 9-Year-Olds: The Role of Task Presentation (Mirjam Ebersbach and Wilma C. M. Resing); (3) Teachers, Classroom, Students--A Holistic View on Beliefs Concerning the Educational Practice (Andreas Eichler); (4) The Effects of Different Modes of Representation on Problem Solving: Two Experimental Programs (Iliada Elia and Athanasios Gagatsis); (5) Can Moderate Hermeneutics Help Us to Understand Learning and Teaching in the Mathematics Classroom? (Fiona Ell); (6) Sociocultural Approaches to Emotions in Mathematics Education: Initial Comparisons (Jeff Evans and Rosetta Zan); (7) Moral Education in the Teaching of Mathematics (Thomas Falkenberg); (8) The Abductive System (Elisabetta Ferrando); (9) Remembering and Imagining: Moving Back and Forth between Motion and Its Representation (Francesca Ferrara); (10) From Verbal Texts to Symbolic Expressions: A Semiotic Approach to Early Algebra (Pier Luigi Ferrari); (11) Verbal Memory Span Limitations as a Factor in Early Mathematical Learning Difficulties (Maureen Finnane); (12) Connecting Algebraic Development to Mathematical Patterning in Early Childhood (Jillian Fox); (13) Aline's and Julia's Stories: Reconceptualizing Transfer from a Situated Point of View (Cristina Frade, Peter Winbourne, and Selma Moura Braga); (14) Insights into Students' Algebraic Reasoning (John Francisco and Markus Hahkioniemi); (15) Proof, Authority, and Agency: Intimations from an 8th Grade Classroom (Michael N. Fried and Miriam Amit); (16) Students' Thoughts about ICT in School Mathematics (Anne Berit Fuglestad); (17) Primary Trainee Teachers' Understanding of Basic Geometrical Figures in Scotland (Taro Fujita and Keith Jones); (18) An Empirical Four-Dimensional Model for the Understanding of Function (Athanasios Gagatsis, Iliada Elia, Areti Panaoura, Katerina Gravvani, and Panayotis Spyrou); (19) The Hidden Side in Taiwanese Classrooms--Through the Lens of PLS in Geometry (Hagar Gal, Fou-Lai Lin, and Jia-Ming Ying); (20) The Zero and Negativity among Secondary School Students (Aurora Gallardo and Abraham Hernandez); (21) Students' Actions in Open and Multiple-Choice Questions Regarding Understanding of Averages (Juan Antonio Garcia Cruz and Alexandre Joaquim Garrett); (22) Paradoxes: The Interplay of Gender, Social Class and Mathematics in the Caribbean (Patricia George); (23) Insights about the Addition Strategies Used by Grade 1 and Grade 2 Children Who Are Vulnerable in Number Learning (Ann Gervasoni); (24) A Generic Organizer for the Enrichment of the Concept Image of Derivative (Victor Giraldo and Luiz Mariano Carvalho); (25) Pupils' Attitudes to Integrated Learning Systems in Mathematics (Chrysanthi Gkolia and Alan Jervis); (26) The Discourse of Logical Necessity: Rules for Action in Pre-School Mathematics (Geraldo Gomes and Luciano Meira); (27) An Online Community of Practice for Pre-Service and Beginning Teachers of Secondary Mathematics (Merrilyn Goos and Anne Bennison); (28) Development of Abstract Mathematical Thinking through Artistic Patterns (Ivona Grzegorczyk and Despina A. Stylianou); (29) Rational Numbers after Elementary School: Realizing Models for Fractions on the Real Line (Stefan Halverscheid, Melanie Henseleit, and Klaus Lies); (30) Student Beliefs about Mathematics Encoded in Pictures and Words (Stefan Halverscheid and Katrin Rolka); (31) Algebra Teachers' Ways of Thinking Characterizing the Mental Act of Problem Posing (Guershon Harel, Boris Koichu, and Alfred Manaster); (32) Mathematical Impairment among Epileptic Children (Izabel Hazin, Jorge T. da Rocha Falcao, and Selma Leitao); (33) Patterns of Participation in Networked Classrooms (Stephen Hegedus, Sara Dalton, Laura Cambridge, and Gary Davis); (34) Teacher Training Students' Probabilistic Reasoning about Compound Stochastic Events in an ICT Environment (Tore Heggem and Kjaerand Iversen); (35) Learning to Prove with Heuristic Worked-out Examples (Aiso Heinze, Kristina Reiss, and Christian GroB); (36) Teacher Actions: Enhancing the Learning of Mental Computation in Year 2 (Ann Heirdsfield and Janeen Lamb); (37) Early Conceptual Thinking (Milan Hejny, Darina Jirotkova, and Jana Kratochvilova); (38) Diversity in the Construction of a Group's Shared Knowledge (Rina Hershkowitz, Nurit Hadas, and Tommy Dreyfus); (39) Structure Sense versus Manipulation Skills: An Unexpected Result (Maureen Hoch and Tommy Dreyfus); (40) Young Children Developing Place Value Understandings (Marj Horne and Sharyn Livy); (41) New Insights into Learning Processes from Some Neuroscience Issues (Donatella Iannece, Maria Mellone, and Roberto Tortora); (42) Fostering Conceptual Mathematical Thinking in the Early Years: A Case Study (Paola Iannone and Anne D. Cockburn); (43) The Role of Mathematical Context in Evaluating Conditional Statements (Matthew Inglis and Adrian Simpson); (44) Knowledge for Teaching Fraction Arithmetic: Partitioning Drawn Representations (Andrew Izsak); (45) Inquiry Community in an Activity Theory Frame (Barbara Jaworski and Simon Goodchild); (46) Gender Differences in Patterns of Strategy Use amongst Secondary School Mathematics Students (Tim Jay); (47) Positioning of a Subject Based and Investigative Dialogue in Practice Teaching (Marit Johnsen Hoines and Beate Lode); (48) Everyday Computer-Based Maths Teaching: The Predominance of Practical Activities (Helga Jungwirth); (49) Facilitators for Change of Elementary Teacher Student's View of Mathematics (Raimo Kaasila, Markku S. Hannula, Anu Laine, and Erkki Pehkonen); (50) The Mathematical Beliefs of Teachers about Applications and Modelling--Results of an Empirical Study (Gabriele Kaiser); (51) An Analysis of Solving Groups of Problems (toward the Study of Problem Solving Instruction) (Alexander Karp); (52) Advancing Low Achievers in Secondary Schools by Using Non-Professional Mathematics Tutoring (Ronnie Karsenty); (53) Mathematical Knowledge for Teaching: Adding to the Description through a Study of Probability in Practice (Mercy Kazima and Jill Adler); (54) Measurements with a Physical and a Virtual Quadrant: Students' Understanding of Trigonometric Tangent (Stefanos Keisoglou and Chronis Kynigos); (55) Language and Mathematics: Towards Social Justice for Linguistically Diverse Students (Lena Licon Khisty); (56) Concept Definition, Concept Image and the Discrete-Continuous Interplay (Ivy Kidron and Thierry Dana Picard); (57) Reconceiving Strategic Knowledge in Proving from the Student's Perspective (Jessica Knapp and Keith Weber); (58) Patterns of Middle School Students' Heuristic Behaviors in Solving Seemingly Familiar Problems (Boris Koichu, Abraham Berman, and Michael Moore); (59) Improper Proportional Reasoning: A Comparative Study in High School (Katerina Kontoyianni, Modestina Modestou, Maria Erodotou, Polina Ioannou, Athinos Constantinides, Marinos Parisinos, and Athanasios Gagatsis); and (60) Integer Instruction: A Semiotic Analysis of the "Compensation Strategy" (Andreas Koukkoufis and Julian Williams). (Individual papers contain references.).

The Second Handbook of Research on the Psychology of Mathematics Education

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Publisher : Springer
ISBN 13 : 9463005617
Total Pages : 571 pages
Book Rating : 4.4/5 (63 download)

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Book Synopsis The Second Handbook of Research on the Psychology of Mathematics Education by : Ángel Gutiérrez

Download or read book The Second Handbook of Research on the Psychology of Mathematics Education written by Ángel Gutiérrez and published by Springer. This book was released on 2016-07-23 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since its establishment in 1976, PME (The International Group for the Psychology of Mathematics Education) is serving as a much sought after venue for scientific debate among those at the cutting edge of the field, as well as an engine for the development of research in mathematics education. A wide range of research activities conducted over the last ten years by PME members and their colleagues are documented and critically reviewed in this handbook, released to celebrate the Group’s 40 year anniversary milestone. The book is divided into four main sections: Cognitive aspects of learning and teaching content areas; Cognitive aspects of learning and teaching transverse areas; Social aspects of learning and teaching mathematics; and Professional aspects of teaching mathematics. The selection for each chapter of a team of at least two authors, mostly located in different parts of the world, ensured effective coverage of each field. High quality was further enhanced by the scrupulous review of early chapter drafts by two leaders in the relevant field. The resulting volume with its compilation of the most relevant aspects of research in the field, and its emphasis on trends and future developments, will be a rich and welcome resource for both mature and emerging researchers in mathematics education.

Mathematics Education As a Research Domain

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792349457
Total Pages : 258 pages
Book Rating : 4.3/5 (494 download)

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Book Synopsis Mathematics Education As a Research Domain by : Anna Sierpinska

Download or read book Mathematics Education As a Research Domain written by Anna Sierpinska and published by Springer Science & Business Media. This book was released on 1998 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: I: The ICMI Study Conference.- Discussion Document.- List of Participants.- What is the Specific Object of Study in Mathematics Education? Report of Working Group 1.- What are the Aims of Research in Mathematics Education? Report of Working Group 2.- What are the Specific Research Questions or Problématiques of Research in Mathematics Education? Report of Working Group 3.- What are the Results of Research in Mathematics Education? Report of Working Group 4.- What Criteria Should Be Used to Evaluate the Results of Research in Mathematics Education? Report of Working Group 5.- Research, Effectiveness, and the Practitioners' World.- II: Mathematics Education as a Research Discipline.- A Glance Over the Evolution of Research in Mathematics Education.- Balancing Complex Human Worlds: Mathematics Education as an Emergent Discipline in its Own Right.- A Postmodern Perspective on Research in Mathematics Education.- Mathematics Education as a 'Design Science'.- What is Mathematics Education? A Survey of Mathematics Educators in Canada.- Programs for the Education of Researchers in Mathematics Education.- III: Goals, Orientations and Results of Research in Mathematics Education.- The Aims of Research.- Aiming Research Toward Understanding: Lessons We Can Learn From Children.- Transforming the International Mathematics Education Research Agenda.- Clarifying the Meaning of Mathematical Objects as a Priority Area for Research in Mathematics Education.- Research and Results in Mathematics Education: Some Contradictory Aspects.- Models in Mathematics Education Research: A Broader View of Research Results.- Towards a Cognitive Theory of Practice.

Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006)

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Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006) by : International Group for the Psychology of Mathematics Education

Download or read book Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006) written by International Group for the Psychology of Mathematics Education and published by . This book was released on 2006 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.).

Large-Scale Studies in Mathematics Education

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Publisher : Springer
ISBN 13 : 3319077163
Total Pages : 448 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Large-Scale Studies in Mathematics Education by : James A. Middleton

Download or read book Large-Scale Studies in Mathematics Education written by James A. Middleton and published by Springer. This book was released on 2015-05-05 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, funding agencies like the Institute of Educational Sciences and the National Science Foundation have increasingly emphasized large-scale studies with experimental and quasi-experimental designs looking for 'objective truths'. Educational researchers have recently begun to use large-scale studies to understand what really works, from developing interventions, to validation studies of the intervention, and then to efficacy studies and the final "scale-up" for large implementation of an intervention. Moreover, modeling student learning developmentally, taking into account cohort factors, issues of socioeconomics, local political context and the presence or absence of interventions requires the use of large data sets, wherein these variables can be sampled adequately and inferences made. Inroads in quantitative methods have been made in the psychometric and sociometric literatures, but these methods are not yet common knowledge in the mathematics education community. In fact, currently there is no volume devoted to discussion of issues related to large-scale studies and to report findings from them. This volume is unique as it directly discusses methodological issue in large-scale studies and reports empirical data from large-scale studies.

Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (29th, Melbourne, Australia, July 10-15, 2005)

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ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (29th, Melbourne, Australia, July 10-15, 2005) by : International Group for the Psychology of Mathematics Education

Download or read book Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (29th, Melbourne, Australia, July 10-15, 2005) written by International Group for the Psychology of Mathematics Education and published by . This book was released on 2005 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This document is the fourth volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 42 research reports by presenters with last names beginning between Mul and Wu: (1) Case Studies of Children's Development of Structure in Early Mathematics: A Two-Year Longitudinal Study (Joanne Mulligan, Michael Mitchelmore, and Anne Prescott); (2) A Case Study of How Kinesthetic Experiences Can Participate in and Transfer to Work with Equations (Ricardo Nemirovsky and Chris Rasmussen); (3) The Construction of Proportional Reasoning (Stephen Norton); (4) The Transition of a Secondary Mathematics Teacher: From a Reform Listener into a Believer (Jo Clay Olson and Karmen Kirtley); (5) Substantive Communication of Space Mathematics in Upper Primary School (Kay Owens); (6) Transforming Korean Elementary Mathematics Classrooms to Student-Centered Instruction (JeongSuk Pang); (7) The Effect of Improved Automaticity and Retrieval of Basic Number Skills on Persistently Low-Achieving Students (John Pegg, Lorraine Graham, and Anne Bellert); (8) Degrees of Freedom in Modeling: Taking Certainty out of Proportion (Irit Peled and Ronit Bassan-Cincinatus); (9) "I Know That You Don't Have to Work Hard": Mathematics Learning in the First Year of Primary School (Bob Perry and Sue Dockett); (10) Disentangling Mentors' Role in the Development of Prospective Teachers' Efficacy Beliefs in Teaching Mathematics (George Philippou and Charalambos Y. Charalambous); (11) Linear Functions and a Triple Influence of Teaching on the Development of Students' Algebraic Expectation (Robyn Pierce); (12) Engaging the Learner's Voice? Catechetics and Oral Involvement in Reform Strategy Lessons (Adrian J. Pinel); (13) Teaching Projectile Motion to Eliminate Misconceptions (Anne Prescott and Michael Mitchelmore); (14) An Investigation of a Preservice Teacher's Use of Representations in Solving Algebraic Problems Involving Exponential Relationships (Norma Presmeg and Rajeev Nenduradu); (15) On Embodiment, Artifacts, and Signs: A Semiotic-Cultural Perspective on Mathematical Thinking (Luis Radford, Caroline Bardini, Cristina Sabena, Pounthioun Diallo, and Athanase Simbagoye); (16) Generalization Strategies of Beginning High School Algebra Students (Joanne Rossi Becker and Ferdinand Rivera); (17) Synchronizing Gestures, Words and Actions in Pattern Generalizations (Cristina Sabena, Luis Radford, and Caroline Bardini); (18) Analyzing Student Modeling Cycles in the Context of a "Real World" Problem (Roberta Y. Schorr and Miriam Amit); (19) Negotiating about Perceived Value Differences in Mathematics Teaching: The Case of Immigrant Teachers in Australia (Wee Tiong Seah); (20) Development of Mathematical Norms in an Eighth-Grade Japanese Classroom (Yasuhiro Sekiguchi); (21) Solving Additive Problems at Pre-Elementary School Level with the Support of Graphical Representation (Ana Coelho Vieira Selva, Jorge Tarcisio da Rocha Falcao, and Terezinha Nunes); (22) From the Everyday, through the Authentic, to Mathematics: Reflecting on the Process of Teaching Mathematics through the Everyday (Godfrey Sethole); (23) Personal Experiences and Beliefs in Early Probabilistic Reasoning: Implications for Research (Sashi Sharma); (24) Assimilating Innovative Learning/Teaching Approaches into Teacher Education: Why Is It so Difficult? (Atara Shriki and Ilana Lavy); (25) Student Thinking Strategies in Reconstructing Theorems (Tatag Yuli Eko Siswono); (26) A Comparison of How Textbooks Teach Multiplication of Fractions and Division of Fractions in Korea and in U.S. (Ji-Won Son); (27) Mathematical Knowledge of Pre-Service Primary Teachers (Beth Southwell and Marina Penglase); (28) Analysing Longitudinal Data on Students' Decimal Understanding Using Relative Risk and Odds Ratios (Vicki Steinle and Kaye Stacey); (29) Girls Journey toward Proportional Reasoning (Olof Bjorg Steinthorsdottir); (30) University Student Perceptions of CAS Use in Mathematics Learning (Sepideh Stewart and Michael O.J. Thomas); (31) Prospective Teachers' Understanding of Proof: What if the Truth Set of an Open Sentence Is Broader than that Covered by the Proof? (Andreas J. Stylianides, Gabriel J. Stylianides, and George Philippou); (32) Planning and Teaching Mathematics Lessons as a Dynamic, Interactive Process (Peter Sullivan, Robyn Zevenbergen, and Judy Mousley); (33) Teacher Factors in Integration of Graphic Calculators into Mathematics Learning (Michael O.J. Thomas and Ye Yoon Hong); (34) Students' Overreliance on Linearity: An Effect of School-Like Word Problems (Wim Van Dooren, Dirk De Bock, Dirk Janssens, and Lieven Verschaffel); (35) A Process of Abstraction by Representations of Concepts (N.C. Verhoef and H.G.B. Broekman); (36) Argumentation Profile Charts as Tools for Analysing Students' Argumentations (Jill Vincent, Helen Chick, and Barry McCrae); (37) Characterizing Middle School Students' Thinking in Estimation (Tanya N. Volkova); (38) Reviewing and Thinking the Affect/Cognition Relation (Margaret Walshaw and Tania Cabral); (39) Young Children's Ability to Generalise the Pattern Rule for Growing Patterns (Elizabeth Warren); (40) Consolidating One Novel Structure whilst Constructing Two More (Gaye Williams); (41) Spreadsheets, Pedagogic Strategies and the Evolution of Meaning for Variable (Kirsty Wilson, Janet Ainley, and Liz Bills); and (42) A Study of the Geometric Concepts of the Elementary School Students Who Are Assigned to the van Hiele Level One (Der-bang Wu and Hsiu-Lan Ma). (Individual papers contain references.).