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1. Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 2

Author

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.)

Published
2006

2. Generalist solutions to complex problems: generating practice-based evidence--the example of managing multi-morbidity.

Author

Reeve, Joanne, Blakeman, Tom, Freeman, George K., Green, Larry A., James, Paul A., Lucassen, Peter, Martin, Carmel M., Sturmberg, Joachim P., and van Weel, Chris

Subjects
ACTION research, CHRONIC diseases, FAMILY medicine, MATHEMATICAL models, MEDICAL care, PRIMARY health care, EVIDENCE-based medicine, COMORBIDITY, THEORY
Abstract

Background: A growing proportion of people are living with long term conditions. The majority have more than one. Dealing with multi-morbidity is a complex problem for health systems: for those designing and implementing healthcare as well as for those providing the evidence informing practice. Yet the concept of multi-morbidity (the presence of >2 diseases) is a product of the design of health care systems which define health care need on the basis of disease status. So does the solution lie in an alternative model of healthcare? Discussion: Strengthening generalist practice has been proposed as part of the solution to tackling multi-morbidity. Generalism is a professional philosophy of practice, deeply known to many practitioners, and described as expertise in whole person medicine. But generalism lacks the evidence base needed by policy makers and planners to support service redesign. The challenge is to fill this practice-research gap in order to critically explore if and when generalist care offers a robust alternative to management of this complex problem. We need practice-based evidence to fill this gap. By recognising generalist practice as a 'complex intervention' (intervening in a complex system), we outline an approach to evaluate impact using action-research principles. We highlight the implications for those who both commission and undertake research in order to tackle this problem. Summary: Answers to the complex problem of multi-morbidity won't come from doing more of the same. We need to change systems of care, and so the systems for generating evidence to support that care. This paper contributes to that work through outlining a process for generating practice-based evidence of generalist solutions to the complex problem of person-centred care for people with multi-morbidity. [ABSTRACT FROM AUTHOR]

Published
2013
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3. Towards an asset-based approach to promoting and sustaining well-being for people with aphasia and their families: an international exploratory study.

Author

Shiggins, Ciara, Soskolne, Varda, Olenik, Dafna, Pearl, Gill, Haaland-Johansen, Line, Isaksen, Jytte, Jagoe, Caroline, McMenamin, Ruth, and Horton, Simon

Subjects
ACTION research, ADAPTABILITY (Personality), APHASIA, ASSETS (Accounting), CONFIDENCE, CULTURE, DISCUSSION, EXPERIENCE, FAMILIES, HEALTH promotion, INTERPERSONAL relations, INTERVIEWING, LIFE, LIFE change events, MATHEMATICAL models, CASE studies, PATIENT-professional relations, PERSONALITY, QUESTIONNAIRES, RECOGNITION (Psychology), RECREATION, RESEARCH, SELF-perception, SOCIAL skills, QUALITATIVE research, THEORY, WELL-being, THEMATIC analysis, PATIENTS' attitudes, FAMILY attitudes
Abstract

Background: There is growing interest in interventions that promote positive outcomes and well-being for people with aphasia (PWA) and their families, but provision is inconsistent. An asset-based approach, based on the theory of salutogenesis, focuses on what makes you well rather than ill. This approach has been used successfully across a variety of research fields, including health and social care research and practice, and has the potential to provide coherent strategies to support people living successfully with aphasia. Aim: To explore the relevance and potential of an asset-based approach to promoting and sustaining well-being for PWA and their families, across contexts and cultures. Methods & procedures: Exploratory case studies were carried out in the United Kingdom (UK), Norway, Israel, Ireland, and Denmark in a variety of settings. Following an interpretative paradigm, we used qualitative methods including: interviews; appreciative inquiry; group discussions; and participatory action research. 95 PWA and 25 family members were asked to identify assets within themselves and their communities that promote, sustain and maintain well-being, by responding to: "What makes you feel good/well/healthy?" Data were analysed using thematic analysis. Outcomes & results: An asset-based approach proved to be a powerful means for PWA and family members to explore what helps them live well with aphasia. Key themes were identified: (1) personal journey; (2) helping others; (3) connecting to self; (4) connecting to others; (5) recreation; and (6) personal attributes. Self-identification of assets, within the person and their community, and connections to these, helped PWA and their family members to maintain well-being, overcome barriers and regain confidence. Using this approach, focusing on the person's recognition, activation and mobilisation of assets, could enhance the person's understanding and restore meaning around the stroke and onset of aphasia. Conclusion: This novel exploratory research demonstrates the relevance and potential across diverse cultural contexts of taking an asset-based approach to promoting and sustaining well-being for PWA and their families. Focusing on maintaining connections to these assets and developing meaning around the event, could prevent some of the negative sequela of stroke. The "patient–professional" relationship must transform into a collaborative partnership, with time and flexibility needed to introduce this approach. Further research should examine how service providers and PWA could develop and operationalise an asset-based approach in clinical and community settings and identify if there is an optimum timing for introducing this approach along the stroke pathway. [ABSTRACT FROM AUTHOR]

Published
2020
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4. Adapting Very Brief Advice (VBA) on smoking for use in low-resource settings: experience from the FRESH AIR project.

Author

McEwen, Andy, Pooler, Jill, Lionis, Christos, Papadakis, Sophia, Tsiligianni, Ioanna, Anastasaki, Marilena, An, Pham Le, Vinh, Nguyen Nhu, Binh, Pham Duong Uyen, Quỳnh, Nguyĕn Nhật, Tuãn, Trãn Diêp, Talant, Sooronbaev, Tabyshova, Aizhamal, Beyshenbekova, Alina, Marazhapov, Nuriddin, and Sheraliev, Ulan

Subjects
SMOKING cessation, MATHEMATICAL models, THEORY, ACTION research, DESCRIPTIVE statistics, SMOKING, PSYCHOLOGICAL adaptation, NEEDS assessment, RESOURCE-limited settings, HEALTH promotion
Abstract

Introduction: Very Brief Advice (VBA) on smoking is an evidence-based intervention and a recommended clinical practice for all healthcare professionals in the UK. Aims: We report on experience from the FRESH AIR project in adapting the VBA model and training in three low-resource settings: Greece, Vietnam and Kyrgyzstan. Methods: Using a participatory research process, UK experts and local stakeholders conducted an environmental scan and needs assessment to examine the VBA intervention model, training materials and recommend adaptations to the local context. Two VBA training sessions were piloted in each country to inform adaptation. A final training tool kit was developed in the local language. Results: In each country, the VBA on smoking intervention model remained primarily intact. The lack of a formal smoking cessation system to refer motivated clients in two countries required adaptation of the ACT component of the model. A range of local adaptations to the training resources were made in all three countries to ensure cultural appropriateness as well as enhance key messages including expanding training on nicotine addiction, second-hand smoke and pharmacotherapy. Conclusions: Implementation of VBA requires sensitive, collaborative, local and cultural adaptation if it is to be achieved successfully. Trial registration: Trial ID# NTR5759 Critical appraisal tools: The Standards for Reporting Implementation Studies (StaRI) statement: https://www.equator-network.org/reporting-guidelines/stari-statement/ [ABSTRACT FROM AUTHOR]

Published
2019
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