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2. Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 2
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International Group for the Psychology of Mathematics Education., Novotna, Jarmila, Moraova, Hana, Kratka, Magdalena, and Stehlikova, Nad'a
- Abstract
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.)
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- 2006
3. Reflections of Pioneers in Early Childhood Education Research on Their Collaboration with Practitioners in the Development of Theories and Innovative Practices
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Singer, Elly and Wong, Sandie
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This paper, based on interviews conducted for the "Early Childhood Oral History Project," draws on oral life-history interviews with 14 prominent early childhood researchers who have been active since the 1970s within diverse European countries. A common theme across the interviews is the key role that collaborative research between academics and early childhood practitioners played in the construction of theories and innovative practices. The interviewees reflect on personal, social-political, epistemological and practical factors that underpinned their engagement in collaborative research, and the challenges they encountered. They give insight into the role practitioners played in the construction of education as a social-historical science--contextualised knowledge that is intrinsically related to ethics, values and innovation.
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- 2018
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4. Limits to Mobility: Competence and Qualifications in Europe
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Le Deist, Francoise and Tutlys, Vidmantas
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Purpose: This paper aims to explore structural and systemic influences in the development of competence models and qualifications systems at sectoral and national levels across Europe, considering the influences of different socio-economic models of skill formation on the processes of design and provision of qualifications. Design/methodology/approach: The paper is based on a meta analysis of three European projects that used literature review, documentary analysis and interviews with practitioners and policy makers. Findings: The main methodological and practical challenges posed by varieties of competence and qualifications to inter-country comparability of qualifications are shown to be related to different socio-economic models of skill formation. Research limitations/implications: The research is limited to 13 countries and four sectors but these were carefully selected to maximise coverage of European diversity with respect to competence models, training regimes and approaches to qualifications. There is clearly a need for further research involving more countries and sectors. Practical implications: The paper offers recommendations for improving the potential of the European Qualifications Framework to promote comparability of qualifications and hence mobility of labour. These recommendations will be of interest to policy makers and practitioners involved in using the EQF and similar instruments. Originality/value: This is the first systematic attempt to explore the methodological and practical difficulties of establishing comparability between qualifications. (Contains 4 tables.)
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- 2012
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5. Organizational Learning from the Perspective of Knowledge Maturing Activities
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Kaschig, A., Maier, R., Sandow, A., Lazoi, M., Schmidt, A., Barnes, S.-A, Bimrose, J., Brown, A., Bradley, C., Kunzmann, C., and Mazarakis, A.
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The level of similarity of knowledge work across occupations and industries allows for the design of supportive information and communication technology (ICT) that can be widely used. In a previous ethnographically informed study, we identified activities that can be supported to increase knowledge maturing, conceptualized as goal-oriented learning on a collective level. The aim of this paper is to investigate the current state of support and success of these knowledge maturing activities and to contrast them with their perceived importance, to identify those which have the highest potential for being supported by ICT. Quantitative and qualitative data were collected through telephone interviews with representatives from 126 organizations throughout Europe in a sample stratified according to size, sector, and knowledge-intensity. The activities that appear to be most promising are "reflecting on and refining work practices and processes," "finding people with particular knowledge or expertise," as well as "assessing, verifying, and rating information." Rich empirical material about how these activities are performed and also the issues that emerged and need to be managed were collected. Three clusters of organizations were identified: best performing organizations, people- and awareness-oriented organizations, and hesitant formalists. It was found that a balanced knowledge strategy that leaned toward personalization outperformed a codification strategy.
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- 2013
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6. Reports on the Interviews about Reception and Use of International Indicators
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This article presents seven reports on the interviews about reception and use of international indicators among respondents from Belgium, Denmark, France, Italy, The Netherlands, Spain and United Kingdom. The first report is based on interviews with 5 respondents occupied with different aspects of the macro level of the Flemish educational system. It focuses on the content of the interviews and is structured upon seven headlines referring to the BEQUAD interview schedule. The second report is based on six interviews with respondents placed at different levels of the Danish educational system. This report is written on the basis of the interviews and the structure of the report is built upon seven headlines referring to the guideline of interview headings including a summary and a conclusion. The third is based on six interviews conducted during the months of May and June, 2002, with a union representative with the SNES (secondary education teachers) (A), the Director of School Education (B), a Counsellor at the "Cour des Comptes" and Chairman of the Higher Council for School Assessment (C), a counsellor and Director of Programming and Development (D), a Senator (E) and a Deputy Director of Higher Education (F). Most of the interviewees expressed their views on the best-known publications by the OECD and French education system. All interviews give emphasis on the use of indicators to serve specific ends. The fourth is based on interviews with 6 people engaged in key positions in the Italian Educational system. The fifth is based on interviews with six people occupying different key positions in the Dutch educational system. The report summarises the content of the interviews and is based on the seven headings of the BEQUAD interview schedule. Next is a report based on interviews with 6 people occupying key positions in the Spanish educational scene. The interviews aimed at getting relevant information about their perceptions on the possible influences of international indicators to decision-making processes and public information. The last report is based on interviews with three groups of respondents in the UK. The report summarises the content of the interviews and the Department of Education and Skills (DFES) written response and is structured using the seven section headings of the BEQUAD interview schedule. (Contains 2 footnotes.)
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- 2004
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