14 results
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2. Mathematics Education Development Research in Teaching <- -> Learning in Practice
- Author
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Mathematics Education Research Group of Australasia and Jaworski, Barbara
- Abstract
According to Stenhouse (1984), "research is systematic 'inquiry' made public". By bringing "inquiry" into teaching practice we promote learning in three layers: learning of mathematics; learning of the "teaching" of mathematics; and learning of the processes through which mathematics teaching and learning develop. Through examples of developmental practice from school-based research in the UK and Norway, and research in university-based mathematics teaching in the UK, I discuss ways in which mathematics teachers and mathematics educators can form communities of inquiry to promote development in learning and teaching and look critically at some of the issues involved. These issues raise challenges for promoting development within a philosophy of educational practice and at scale, with reference to the wider dimensions of society, system and culture.
- Published
- 2014
3. Facilitating Sustainable Professional Development through Lesson Study
- Author
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Hunter, Jodie and Back, Jenni
- Abstract
Developing sustainable professional development which facilitates teachers of mathematics to develop effective mathematics pedagogy has been a key aim in recent years. This paper examines how lesson study can be used with networks of teachers as a vehicle to promote and sustain professional development. Drawing on findings from a year-long study involving four schools, the paper highlights how through the process of collaboratively planning a lesson, observing and discussing it, teachers were facilitated to adopt approaches to mathematics teaching that are aligned with the factors identified as effective mathematics pedagogy. It also illustrates how lesson study can support teachers to engage in a collaborative network, develop their professional knowledge, and reflect on their teaching practice. (Contains 1 table.)
- Published
- 2011
4. Curriculum Innovation: Difference and Resemblance
- Author
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Hanley, Una and Torrance, Harry
- Abstract
How do teachers respond to a mathematics curriculum innovation? This paper reports some of the findings from a UK Research Council (ESRC)-funded project investigating how teachers in English secondary schools (students aged 12-16 years) responded to innovation. A Gatsby Foundation funded program implemented new materials; the project investigated processes and expectations of implementation. In this paper, we consider the "gap" between innovation and proposed practice from the position of the practitioner, employing the work of Foucault (1995) and Deleuze and Guattari (1998) as a framework for analysis. The paper takes a theoretical position, arguing that teachers construct individual and constantly changing amalgams of practice. These are founded on "difference" and understood in ways, which are shifting, and partial rather than "known" via a sense-making process. Expectations of a strong correspondence between innovation and teacher response have undermined alternative perspectives that regard the interruption and re-routing of innovation as productive of viable outcomes in sites of practice.
- Published
- 2011
5. 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
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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.)
- Published
- 2006
6. Improving the Quality of Science and Mathematics Education--The Role of Higher Education. Report on a Planning Meeting (Hertford, United Kingdom, May 26-29, 1992). Quality in Basic Education: Science, Technology, and Mathematics.
- Author
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Commonwealth Secretariat, London (England). and Harris, Mary
- Abstract
This monograph reports on the Planning Meeting of the Commonwealth Project on Improving the Quality of Science and Mathematics Education at the Basic Level which focused on the role of higher education. The purpose of the meeting was to make recommendations for improving the preparation and training of science and mathematics teachers for the first 9 years of education and of trainers of science and mathematics teachers. The report summarizes the meeting discussions on the following topics: curriculum and curriculum change; the education of teachers; inservice education of teachers (INSET); problems in teaching and teacher education; improving the education of teachers and teacher educators; proposals for gathering and disseminating information about INSET programs; and a strategy and action plan for developing INSET guidelines. Brief descriptions of several INSET programs are included. Four recommendations resulted from the meeting: (1) policies on education and professional development of teacher educators should be reviewed; (2) the proposed programs of overlapping and sustained INSET for teachers and teacher educators should be implemented; (3) steps should be taken to identify key personnel to take part in such INSET programs at all levels; and (4) national committees on basic science and mathematics teaching should be established to collect and review existing INSET materials and to prepare for regional and local workshops and INSET programs. Appendices include a list of consultants at the meeting, a list of documents prepared for the meeting, and draft suggestions for content guidelines. (Contains 11 references.) (ND)
- Published
- 1993
7. Those Who Can, Teach: Addressing the Crisis in Mathematics in UK Schools and Universities
- Author
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Cooper, Paul and d'Inverno, Ray
- Abstract
The crisis in UK mathematics education, both in schools and universities, has been widely reported in the national media. A recent study shows that 26% of full-time mathematics teachers in UK schools have no qualification in the subject, and that 31% of all UK schools' mathematics teachers are now over the age of 50. The crisis in school mathematics has impacted on much of the university sector, with some departments under threat of closure and widespread difficulties experienced in student recruitment. The availability of attractive careers for mathematics graduates impacts upon the numbers choosing to enter teaching, thus risking a spiral of decline. Furthermore, studies suggest that UK mathematics graduates often lack confidence in several key skills essential for teaching, such as presenting information effectively, working in teams, and written communication. This paper recounts the development of a unit of study in the Faculty of Mathematical Studies at the University of Southampton, England, in conjunction with a new initiative, the "Undergraduate Ambassadors Scheme", which seek to address the crisis in UK mathematics education through the training and placement of final year undergraduates as teaching assistants in local schools. This with a view to promoting mathematics to the broadest possible constituency as a university choice, whilst simultaneously developing those key transferable skills in which undergraduates regularly feel least confident, and allowing undergraduates to experience a flavour of teaching as a career option.
- Published
- 2004
- Full Text
- View/download PDF
8. Let's Integrate British Mathematics Education into a Whole That Counts!
- Author
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Ernest, Paul
- Abstract
Proposes the unification of professional associations concerned with mathematics education in Great Britain into one federal Association of Mathematics Education (AME), using the American National Council of Teachers of Mathematics as an example. Discusses organizational issues raised and potential benefits of a united AME. (MDH)
- Published
- 1991
9. Learning from Experience. Some Principles of Inset Practice.
- Author
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Woodrow, Derek
- Abstract
Identifies six principles to inform professional development of mathematics teachers in the United Kingdom for the 1990s: (1) Localization; (2) Personalization; (3) Collaborative Practice; (4) Training the Trainers; (5) Whole School Policies; and (6) National Planning. (MDH)
- Published
- 1991
10. Mathematics Teachers Acting as Informal Assessors: Practices, Problems and Recommendations.
- Author
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Watson, Anne
- Subjects
MATHEMATICS education ,MATHEMATICS teachers ,MATHEMATICAL ability testing - Abstract
The purpose of this paper is initially to present findings which identify components of the practices of teachers acting as assessors of students' mathematics in the normal course of classroom work. At an informal level such practice is found to be complex and intimately related to every aspect of teaching and learning. It is found that even teachers who have undergone some assessment training may underestimate the role of interpretation of evidence, and questions about equity in the uses of teachers' judgements are raised in relation to awareness and practice. It is suggested that more care needs to be taken over the formation and use of `professional judgements' within systems of assessment. [ABSTRACT FROM AUTHOR]
- Published
- 2000
- Full Text
- View/download PDF
11. Emotion, identity and teacher learning: becoming a primary mathematics teacher.
- Author
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Hodgen, Jeremy and Askew, Mike
- Subjects
MATHEMATICS teachers ,TEACHER training ,PRESCHOOL teachers ,PSYCHOLOGY of teachers ,PROFESSIONAL education ,MATHEMATICS education - Abstract
Teacher change in mathematics education is recognised to be a difficult and at times painful process. This is particularly so in countries such as England where primary mathematics is taught by non-specialist teachers, who have often had negative experiences of their own school mathematics. In this paper we explore primary teachers' emotional relationships with mathematics, in particular what motivates teachers to persevere with professional learning. We examine the case of a primary teacher who developed an identity as a teacher of mathematics. We argue that emotion has both individual and social elements and consider the implications for teacher education. [ABSTRACT FROM AUTHOR]
- Published
- 2007
- Full Text
- View/download PDF
12. Those who can, teach: addressing the crisis in mathematics in UK schools and universities.
- Author
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Coopert, Paul and D'Inverno, Ray
- Subjects
MATHEMATICS education ,MATHEMATICS teachers ,UNIVERSITY faculty ,EDUCATION ,COLLEGE students - Abstract
The crisis in UK mathematics education, both in schools and universities, has been widely reported in the national media. A recent study shows that 26% of full-time mathematics teachers in UK schools have no qualification in the subject, and that 31% of all UK schools' mathematics teachers are now over the age of 50. The crisis in school mathematics has impacted on much of the university sector, with some departments under threat of closure and widespread difficulties experienced in student recruitment. The availability of attractive careers for mathematics graduates impacts upon the numbers choosing to enter teaching, thus risking a spiral of decline. Furthermore, studies suggest that UK mathematics graduates often lack confidence in several key skills essential for teaching, such as presenting information effectively, working in teams, and written communication. This paper recounts the development of a unit of study in the Faculty of Mathematical Studies at the University of Southampton, England, in conjunction with a new initiative, the Undergraduate Ambassadors Scheme, which seek to address the crisis in UK mathematics education through the training and placement of final year undergraduates as teaching assistants in local schools. This with a view to promoting mathematics to the broadest possible constituency as a university choice, whilst simultaneously developing those key transferable skills in which undergraduates regularly feel least confident, and allowing undergraduates to experience a flavour of teaching as a career option. [ABSTRACT FROM AUTHOR]
- Published
- 2004
- Full Text
- View/download PDF
13. TEACHING MATHS THROUGH THEME-BASED RESOURCES: PEDAGOGIC STYLE, 'THEME' AND 'MATHS' IN LESSONS.
- Author
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Chronaki, A.
- Subjects
MATHEMATICS education ,MATHEMATICS teachers ,ACTIVITY programs in education - Abstract
Examines the practices of two math teachers in Great Britain employing theme-based resources in their lessons. Set of activities used by teachers based on the theme of art; Ethnographic study of teacher's ways of implementing these resources.
- Published
- 2000
- Full Text
- View/download PDF
14. An investigation of teachers' mathematical subject knowledge and the processes of instruction in...
- Author
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Aubrey, Carol
- Subjects
MATHEMATICS teachers ,MATHEMATICS education - Abstract
Attempts to investigate the influence of teachers' subject knowledge on the content and processes of mathematical instruction at reception classrooms in Great Britain. Factors influencing teachers' subject knowledge; Children's informal mathematics attainments; `Initiation-response-feedback.'
- Published
- 1996
- Full Text
- View/download PDF
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