# Teachers Learning from Teachers

## Abstract

There is much debate within mathematics teacher education over ways in which professional and academic foci could be made to complement each other. On the one hand, teachers’ craft knowledge is emphasized, mainly as this relates to the particular and local level of teaching; on the other hand, the importance of academic subject knowledge cannot be denied. In this chapter the focus will be on how to blend and balance the two through activities in which teachers learn from other teachers, particularly the co-learning of teachers and teacher educators. It will discuss professional relationships, reflective practice, community building, and research in practice. Examples of research-based programs involving *lesson study* (LS) and the *Learner*’*s Perspective Study* (LPS) have moved the relevant research in this area to yet another level, in which theory and practice are combined. Projects such as these and others from diverse parts of the world will be presented and discussed.

### Keywords

Malaysia Stake Indonesia Metaphor Colombia### References

- Adler, J., Ball, D., Krainer, K., Lin, F., & Novotná, J. (2005). Reflections on an emerging field: Researching mathematics teacher education.
*Educational Studies in Mathematics, 60*, 359–381.Google Scholar - Agudelo-Valderrama, C., & Vergel, R. (2009a). Informe final del Proyecto PROMICE.
*Promoción de un enfoque interdisciplinario y de resolución de problemas en el inicio del trabajo algebraico escolar: integrando contextos de ciencias y el uso de tecnología digital*. Bogotá, Colombia: Centro de documentación, Instituto para la Investigación Educativa y el Desarrollo Pedagógico, IDEP, Secretaría de Educación Distrital.Google Scholar - Agudelo-Valderrama, C., & Vergel, R. (2009b). La apertura del aula de ciencias para promover el desarrollo del pensamiento algebraico: el caso del profesor Simón, participante del Proyecto PROMICE. In L. F. Acuña & L. Zea (Eds.),
*Universidad-Escuela y producción de conocimiento pedagógico: Resultados de la investigación IDEP-Colciencias*(pp. 245–258). Bogotá, Colombia: IDEP.Google Scholar - Anderson, J., Bobis, J., & Way, J. (2008). Teachers as learners: Building knowledge in and through the practice of teaching mathematics. In H. Forgasz, A. Barkatsas, A. Bishop, B. Clarke, S. Keast, W. T. Seah, P. Sullivan, & S. Willis (Eds.),
*Research in mathematics education in Australasia 2004–2007*(pp. 313–335). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Arbaugh, F. (2003). Study groups as a form of professional development for secondary mathematics teachers.
*Journal of Mathematics Teacher Education, 6*(2), 139–163.Google Scholar - Australian Curriculum Assessment and Reporting Authority (ACARA). (2010a).
*The Australian curriculum: Mathematics.*Retrieved from http://www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10. - Australian Curriculum Assessment and Reporting Authority (ACARA). (2010b).
*The shape of the Australian curriculum version 2.0.*Sydney, Australia: ACARA.Google Scholar - Bassey, M. (1995).
*Creating education through research*. Edinburgh, UK: British Educational Research Association.Google Scholar - Bobis, J., Clarke, B., Clarke, D., Thomas, M., Wright, R., Young-Loveridge, J., & Gould, P. (2005). Supporting teachers in the development of young children’s mathematical thinking. Three large-scale cases.
*Mathematics Education Research Journal, 16*(3), 27–57.Google Scholar - Breen, C. (2003). Mathematics teachers as researchers: Living on the edge. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.),
*Second international handbook of mathematics education*(pp. 523–544). Dordrecht, The Netherlands: Kluwer Academic Publishers.Google Scholar - Brousseau, G. (1992). Didactique: What it can do for the teacher? In R. Douady & A. Mercier (Eds.),
*Research in didactique of mathematics*(pp. 7–40). Paris, France: La Pensée Sauvage.Google Scholar - Brown, S., & McIntyre, D. (1993).
*Making sense of teaching*. Buckingham, UK: Open University Press.Google Scholar - Carr, W., & Kemmis, S. (1986).
*Education, knowledge, and action research*. Geelong, Australia: Deakin University.Google Scholar - Chapman, O. (2008). Mathematics teacher educators’ learning from research on their instructional practices: A cognitive perspective. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 115–134). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Chiew, C. M. (2009).
*Implementation of lesson study as an innovative professional development model among mathematics teachers*(PhD thesis). Universiti Sains Malaysia.Google Scholar - Clarke, D. J. (2001a).
*Study design: Learner’s Perspective Study*. Melbourne, Australia: The University of Melbourne.Google Scholar - Clarke, D. J. (2001b).
*Perspectives on practice and meaning in mathematics and science classrooms*. Dordrecht, The Netherlands: Kluwer Academic Publishers.Google Scholar - Clarke, D. J., Keitel, C., & Shimizu, Y. (Eds.). (2006).
*Mathematics classrooms in twelve countries: The insider’s perspective*. Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Clarke, D. J., Shimizu, Y., Ulep, S. A., Gallos, G., Adler, J., & Vithal, R. (2006). Cultural diversity and the learner’s perspective: Attending to voice and context. In F. K. S. Leung, K.-D. Graf, & F. J. Lopez-Real (Eds.),
*Mathematics education in different traditions—A comparative study of East Asia and the West*(pp. 353–380). New York, NY: Springer.Google Scholar - Clements, M. A. (1980). Analysing children’s errors on written mathematical tasks.
*Educational Studies in Mathematics, 11*(1), 1–21.Google Scholar - Clements, M. A. (2008). Australasian mathematics education research 2004
*–*2007: An overview. In H. Forgasz, A. Barkatsas, A. Bishop, B. Clarke, S. Keast, W. T. Seah, P. Sullivan, & S. Willis (Eds.),*Research in mathematics education in Australasia 2004–2007*(pp. 337–356). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Cobb, P. (2003). Investigating students’ reasoning about linear measurement as a paradigm case of design research. In M. Stephan, J. Bowers, P. Cobb, & K. Gravemeijer (Eds.),
*Supporting students’ development of measuring conceptions: Analyzing students’ learning in social contexts*(pp. 1–16). Reston, VA: NCTM.Google Scholar - Cobb, P., Confrey, J., di Sessa, A., Lehrer, R., & Schauble, L. (2003). Design experiments in educational research.
*Educational Researcher, 32*(1), 9–13.Google Scholar - Cochran Smith, M., & Lytle, S. L. (1999). Relationships of knowledge and practice: Teacher learning in communities. In A. Iran-Nejad & P. D. Pearson (Eds.),
*Review of research in education*(pp. 249–305). Washington, DC: American Educational Research Association.Google Scholar - Cooper, P., & McIntyre, D. (1996).
*Effective teaching and learning: Teachers’ and students’ perspectives*. Buckingham, UK: Open University Press.Google Scholar - Crawford, K., & Adler, J. (1996). Teachers as researchers in mathematics education. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & C. Laborde (Eds.),
*International handbook of mathematics education*(pp. 1187–1205). Dordrecht, The Netherlands: Kluwer.Google Scholar - Dawson, S. (1999). The enactive perspective on teacher development: “A path laid while walking”. In B. Jaworski, T. Wood, & S. Dawson (Eds.),
*Mathematics teacher education: Critical international perspectives*(pp. 148–162). London, UK: Falmer Press.Google Scholar - Elliot, J. (1991).
*Action research for educational change*. Milton Keynes, UK: Open University Press.Google Scholar - English, L. D. (2008). Setting the agenda for international research. In L. D. English (Ed.),
*Handbook of international research in mathematics education*(2nd ed., pp. 3–19). New York, NY: Routledge.Google Scholar - Even, R. (2008). Facing the challenge of educating educators to work with practising mathematics teachers. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 57–74). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Even, R., & Ball, D. L. (2009).
*The professional education and development of teachers of mathematics*. New York, NY: Springer.Google Scholar - Even, R., & Tirosh, D. (2008). Teacher knowledge and understanding of students’ mathematical learning and thinking. In L. D. English (Ed.),
*Handbook of international research in mathematics education*(2nd ed., pp. 202–222). New York, NY: Routledge.Google Scholar - Fenstermacher, G. D. (1994). The knower and the known: The nature of knowledge in research on teaching.
*Review of Research in Education, 20*, 3–56.Google Scholar - Fernandez, C. (2002). Learning from Japanese approaches to professional development: The case of lesson study.
*Journal of Teacher Education, 53*(5), 395–405.Google Scholar - Fernandez, C., & Yoshida, M. (2004).
*Lesson study: A Japanese approach to improving mathematics teaching and learning*. Mahwah, NJ: Lawrence Erlbaum.Google Scholar - Forgasz, H., Barkatsas, T., Bishop, A., Clarke, B., Keast, S., Seah, W., & Sullivan, P. (2008). Introduction: Review of mathematics education research in Australasia 2004–2007. In H. Forgasz, A. Barkatsas, A. Bishop, B. Clarke, S. Keast, W. T. Seah, P. Sullivan, & S. Willis (Eds.),
*Research in mathematics education in Australasia 2004–2007*(pp. 1–7). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Goodchild, S. (2008). A quest for “good” research: The mathematics teacher educator as practitioner researcher in a community of inquiry. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 201–222). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Gooya, Z. (2006). The necessity of collaborations between mathematicians and mathematics educators: Ways to have “Mathematics in the center”. In J. Novotná, H. Moraová, M. Krátká, & N. Stehlikova (Eds.),
*Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education*(Vol. 1, pp. 73–76). Prague, Czech Republic: International Group for the Psychology of Mathematics Education.Google Scholar - Gooya, Z. (2007). Mathematics teachers’ beliefs about a new reform in high school geometry in Iran.
*Educational Studies in Mathematics, 65*, 331–347.Google Scholar - Gooya, Z. (2010). Lesson study: A souvenir from Japan, Iran, or teachers’ common sense?
*Roshd Mathematics Teacher Education Journal, 101*, 50–51.Google Scholar - Gooya, Z. (2011). How could we indicate the amount of quality in advance?
*Roshd Mathematics Teacher Education Journal, 104*, 2–3.Google Scholar - Gooya, Z., & Zangeneh, B. (2005). How teachers conceive geometry teaching in Iran. In M. Kourkoulos, G. Roulis, & C. Tzanakis (Eds.),
*Proceedings of the 4th Colloquium on the Didactics of Mathematics*(Vol. 2, pp. 247–254). Crete, Greece: The University of Crete.Google Scholar - Gravemeijer, K. P. E. (1994a).
*Developing realistic mathematics education*. Utrecht, The Netherlands: CD-β Press, Freudenthal Institute, Utrecht University.Google Scholar - Gravemeijer, K. P. E. (1994b). Educational development and developmental research in mathematics education.
*Journal for research in Mathematics Education, 25*(5), 443–471.Google Scholar - Gravemeijer, K. P. E. (2000, July).
*Didactical phenomenological analysis as a design heuristic: Early statistics as an example.*Paper presented in Working Group 8 on Research, Theory and Practice, at the Ninth International Congress on Mathematical Education. Makuhari, Japan: ICME.Google Scholar - Guskey, T. R. (2000).
*Evaluating professional development*. Newbury Park, CA: Corwin Press.Google Scholar - Hjh Hafizah bte Hj Salat & Hj Rosmawati bte Hj Abu Bakar (2003).
*Language issues in upper primary mathematics classrooms.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Hart, L. C., Alston, A. S., & Murata, A. (Eds.). (2011).
*Lesson study: Research and practice in mathematics education*. New York, NY: Springer.Google Scholar - Hartono, H. (2010).
*Monitoring, evaluation and sustaining program of lesson study activities.*Yogyakarta, Indonesia: Regional Centre for Quality Improvement of Teachers and Educational Personnel (QITEP).Google Scholar - Haslina bte Hj Mahmud (2003).
*Decimals: Going beyond skill and drill into reality.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Hatano, G., & Inagaki, K. (1998). Cultural contexts of schooling revisited: A review of the learning gap from a cultural psychology perspective. In S. G. Paris & H. M. Wellman (Eds.),
*Global prospects for education development, culture and schooling*(pp. 79–104). Washington, DC: American Psychological Association.Google Scholar - Herbert, C. (1989).
*Talking of silence*. London, UK: Falmer Press.Google Scholar - Hill, H. C., Ball, D. L., & Schilling, S. G. (2008). Unpacking pedagogical content knowledge: Conceptualizing and measuring teachers’ topic-specific knowledge of students.
*Journal for Research in Mathematics Education, 39*, 372–400.Google Scholar - Hoyles, C. (1992). Illuminations and reflections—Teachers, methodologies and mathematics. In W. Geeslin & K. Graham (Eds.),
*Proceedings of the 16th Conference of the International Group for the Psychology of Mathematics Education*(Vol. 3, pp. 263–286). Durham, NH: International Group for the Psychology of Mathematics Education.Google Scholar - Hunter, R. (2008). Facilitating communities of mathematical inquiry. In M. Goos, R. Brown, & K. Makar (Eds.),
*Navigating currents and charting directions. Proceedings of the 31st annual conference of the Mathematics Education Research Group of Australasia*(Vol. 1, pp. 31–39). Brisbane, Australia: MERGA.Google Scholar - Hunter, R. (2010). Changing roles and identities in the construction of a community of mathematical inquiry.
*Journal of Mathematics Teacher Education, 13*(5), 397–409.Google Scholar - Isoda, M. (2007). Where did lesson study begin, and how far has it come? In M. Isoda, M. Stephens, Y. Ohara, & T. Miyakawa (Eds.),
*Japanese lesson study in mathematics: Its impact, diversity and potential for educational improvement*(pp. 8–15). Singapore: World Scientific Publishing Co.Google Scholar - Isoda, M., Stephens, M., Ohara, Y., & Miyakawa, T. (Eds.). (2007).
*Japanese lesson study in mathematics: Its impact, diversity and potential for educational improvement*. Singapore: World Scientific Publishing Co.Google Scholar - Jaworski, B. (1998). Mathematics teacher research: Process, practice and the development of teaching.
*Journal of Mathematics Teacher Education, 1*(1), 3–31.Google Scholar - Jaworski, B. (2001). Developing mathematics teaching: Teachers, teacher-educators and researchers as co-learners. In: F.-L. Lin & T. J. Cooney (Eds.),
*Making sense of mathematics teacher education*(pp. 295–320). Dordrecht, The Netherlands: Kluwer Academic Publishers.Google Scholar - Jaworski, B. (2003). Research practice into/influencing mathematics teaching and learning development: Towards a theoretical framework based on co-learning partnerships.
*Educational Studies in Mathematics, 54*(2–3), 249–282.Google Scholar - Jaworski, B. (2004). Grappling with complexity: Co-learning in inquiry communities in mathematics teaching development.
*Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education*(Vol. 1, pp. 17–36). Bergen, Norway: International Group for the Psychology of Mathematics Education.Google Scholar - Jaworski, B. (2006). Theory and practice in mathematics teaching development: Critical inquiry as a mode of learning in teaching.
*Journal of Mathematics Teacher Education, 9*(2), 187–211.Google Scholar - Jaworski, B. (2008). Development of the mathematics teacher educator and its relation to teaching development. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 335–361). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Jaworski, B., Fuglestad, A. B., Bjuland, R., Breiteig, T., Goodchild, S., & Grevholm, B. (2007).
*Læringsfellesskap i matematikk: Learning communities in mathematics*. Bergen, Norway: Caspar Verlag.Google Scholar - Jaworski, B., & Gellert, U. (2003). Educating new mathematics teachers: Integrating theory and practice, and the roles of practising teachers. In A. J. Bishop, M. A. Clements, C. Keitel, J. Kilpatrick, & F. K. S. Leung (Eds.),
*Second international handbook of mathematics education*(Vol. 2, pp. 829–875). Dordrecht, The Netherlands: Kluwer Academic Publishers.Google Scholar - Jaworski, B., & Goodchild, S. (2006). Inquiry community in an activity theory frame. In J. Novotná, H. Moraová, M. Krátká, & N. Stelikova (Eds.),
*Proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education*(Vol. 3, pp. 353–360). Prague, Czech Republic: International Group for the Psychology of Mathematics Education.Google Scholar - Hjh Kamsiah bte Hj Ismail (2003).
*Percentages, linked to decimals and fractions.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Kilpatrick, J. (2003). Twenty years of French
*didactique*viewed from the United States.*For the Learning of Mathematics, 23*(2), 23–27.Google Scholar - Krainer, K., & Wood, T. (2008). Participants in mathematics teacher education: Individuals, teams, communities and networks. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 3, pp. 231–254). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Lester, F. K. (Ed.). (2007).
*Second handbook of research on mathematics teaching and learning*. Charlotte, NC: Information Age and NCTM.Google Scholar - Lewis, C., Perry, R., & Hurd, J. (2009). Improving mathematics instruction through lesson study: A theoretical model and North America case.
*Journal of Mathematics Teacher Education, 12*(4), 285–304.Google Scholar - Lewis, C., & Tsuchida, I. (1998). A lesson is like a swiftly flowing river: Research lessons and the improvement of Japanese education.
*American Educator, Winter*, 14–17, 50–52.Google Scholar - Lim, G. K., & Hjh Zarinah bte Hj Jamudin (2003).
*Expanding the modes of communication*(*including technology*)*in primary mathematics classrooms.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Lim, C. S., White, A. L., & Chiew, C. M. (2005). Promoting mathematics teacher collaboration through Lesson Study: What can we learn from two countries’ experience? In A. Rogerson (Ed.),
*Reform, revolution and paradigm shifts in mathematics education*(pp. 135–139) (Mathematics Education into the 21st Century Project: Proceedings of Eighth International Conference). Johor Bahru, Malaysia: Mathematics Education into the 21st Century Project.Google Scholar - Lingard, B., & Renshaw, P. (2010). Teaching as a research-informed and research informing profession. In A. Campbell & S. Groundwater-Smith (Eds.),
*Connecting inquiry and professional learning in education*(pp. 26–39). Oxford, UK: Routledge.Google Scholar - Hjh Mardiah & Hjh Shimawati (2004).
*Evaluation report: Active Mathematics in Classrooms (AMIC).*Unpublished paper for the PS 3302 “Science and Mathematics Teachers as Researchers” course at Universiti Brunei Darussalam.Google Scholar - Maria bte Abdullah & Hjh Ramnah bte Pg Hj Abdul Rajak (2003).
*Developing number sense throughout the primary mathematics curriculum*. Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - McIntyre, D. (1997). The profession of educational research.
*British Educational Research Journal, 23*(2), 127–140.Google Scholar - Mohammad Ariffin bin Hj Bakar (2003).
*Teaching mathematics through a problem-solving and problem-posing approach.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Muchtar, A. K., & Sutarto, H. (2010).
*Concepts of lesson study and establishing system for the proposed lesson study activities*. Yogyakarta, Indonesia: Regional Centre for Quality Improvement of Teachers and Educational Personnel (QITEP).Google Scholar - Murata, A. (2008). Mathematics teaching and learning as a mediating process: The case of tape diagrams.
*Mathematical Thinking and Learning, 10*(4), 374–406. Retrieved from http://www.informaworld.com/smpp/title∼db=all∼content=t775653685, http://www.informaworld.com/smpp/title∼db=all∼content=t775653685∼tab=issueslist∼branches=10#v10, http://www.informaworld.com/smpp/title∼db=all∼content=t775653685∼tab=issueslist∼branches=10#v10, http://www.informaworld.com/smpp/title∼db=all∼content=g904609264. - Neubrand, M., Seago, N., Agudelo-Valderrama, C., DeBlois, L., & Leikin, R. (2009). The balance of teacher knowledge: Mathematics and pedagogy. In T. Wood (Ed.),
*The professional education and development of teachers of mathematics: The 15th ICMI study*(pp. 211–225). New York, NY: Springer.Google Scholar - Newman, M. A. (1977). An analysis of sixth-grade pupils’ errors on written mathematical tasks.
*Victorian Institute for Educational Research Bulletin, 39*, 31–43.Google Scholar - Newman, M. A. (1983).
*Strategies for diagnosis and remediation*. Sydney, Australia: Harcourt, Brace Jovanovich.Google Scholar - Niss, M. (2007). The concept and role of theory in mathematics education. In C. Bergsten, B. Grevholm, H. S. Masoval, & F. Ronning (Eds.),
*Relating practice and research in mathematics education: Proceedings of NORMA 05, Fourth Nordic Conference of Mathematics Education*(pp. 97–110). Trondheim, Norway: Tapire Academic Press.Google Scholar - Norjah bte Hj Burut, Hj Rozaimah bte Hj Abdul Wahid, & Hj Tini bte Hj Sani (2003).
*Word problems need not be so difficult.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Perks, P., & Prestage, S. (2008). Tools for learning about teaching and learning. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 265–280). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Ponte, J. P. (1994). Mathematics teachers’ professional knowledge. In J. P. da Ponte & J. F. Matos (Eds.),
*Proceedings of the Eighteenth PME Conference*(Vol. 1, pp. 195–210). Lisbon, Portugal: The University of Lisbon.Google Scholar - Ponte, J. P., & Chapman, O. (2008). Preservice mathematics teachers’ knowledge and development. In L. D. English (Ed.),
*Handbook of international research in mathematics education*(2nd ed., pp. 223–261). New York, NY: Routledge.Google Scholar - Pring, R. (2004).
*Philosophy of education*. London, UK: Continuum.Google Scholar - Pritchard, R., & Bonne, L. (2007). Teachers research their practice: Developing methodologies that reflect teachers’ perspectives. In J. Watson & K. Beswick (Eds.),
*Mathematics: Essential research, essential practice (Proceedings of the 30th Annual Conference of the Mathematics Education Research Group of Australasia)*(pp. 621–630). Adelaide, Australia: Mathematics Education Research Group of Australasia.Google Scholar - Robertson, R. (1995). Globalization: Time-space and homogeneity-heterogeneity. In M. Featherstone, S. Lash, & R. Robertson (Eds.),
*Global modernities*(pp. 25–45). London, UK: Sage.Google Scholar - Rowland, T. (2008). Researching teachers’ mathematics disciplinary knowledge. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 3, pp. 273–300). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Rowland, T. (2009). Beliefs and actions in university mathematics teaching. In M. Tzekaki, M. Kaldrimidou, & H. Sakonidis (Eds.),
*Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education*(Vol. 5, pp. 17–24). Thessaloniki, Greece: International Group for the Psychology of Mathematics Education.Google Scholar - Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary mathematics teachers’ subject knowledge: The knowledge quartet and the case of Naomi.
*Journal of Mathematics Teacher Education, 8*(3), 255–281.Google Scholar - Rozina bte Awg Hj Salim (2003).
*Finding out why children make mistakes—And then doing something to help them.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Ruthven, K., & Goodchild, S. (2008). Linking researching with teaching: Towards synergy of scholarly and craft knowledge. In L. D. English (Ed.),
*Handbook of international research in mathematics education*(2nd ed., pp. 561–588). New York, NY: Routledge.Google Scholar - Shimizu, Y. (1996). Some pluses and minuses of “typical pattern” in mathematics lessons: A Japanese perspective.
*Bulletin of the Center for Research and Guidance for Teaching Practice, 20*, 35–42.Google Scholar - Shimizu, Y. (1999a). Aspects of mathematics teacher education in Japan: Focusing on teachers’ roles.
*Journal of Mathematics Teacher Education, 2*(1), 107–116.Google Scholar - Shimizu, Y. (1999b). Studying sample lessons rather than one excellent lesson: A Japanese perspective on the TIMSS Videotape Classroom Study.
*Zentralblatt fur Didaktik der Mathematik (ZDM), 99*(6), 191–195.Google Scholar - Shimizu, Y. (2002, April).
*Discrepancies in perceptions of lesson structure between the teacher and the students in the mathematics classroom*. Paper presented at the interactive symposium, “International Perspectives on Mathematics Classrooms,” at the Annual Meeting of the American Educational Research Association, New Orleans.Google Scholar - Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching.
*Educational Researcher, 15*(2), 4–14.Google Scholar - Shulman, L. S. (1987). Knowledge and teaching: Foundations of the new reform.
*Harvard Educational Review, 57*, 1–22.Google Scholar - Simon, M. (2008). The challenge of mathematics teacher education in an era of mathematics education reform. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 17–30). Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Slavit, D., & Nelson, T. (2010). Collaborative teacher inquiry as a tool for building theory on the development and use of rich mathematical tasks.
*Journal of Mathematics Teacher Education, 13*(3), 201–221.Google Scholar - Southwell, B., & White, A. L. (2004). Lesson study professional development for mathematics teachers. In M. Hoines & A. Fuglestad (Eds.),
*Proceedings of the 28th Conference of the International Group for the Psychology of Mathematics Education*(Vol. 1, pp. 355–365). Bergen, Norway: International Group for the Psychology of Mathematics Education.Google Scholar - Steinbring, H. (1998). Elements of epistemological knowledge for mathematics teachers.
*Journal of Mathematics Teacher Education, 1*(2), 157–189.Google Scholar - Stenhouse, L. (1984). Evaluating curriculum evaluation. In C. Adelman (Ed.),
*The politics and ethics of evaluation*(pp. 77–86). London, UK: Croom Helm.Google Scholar - Stigler, J., & Hiebert, J. (1998).
*Teaching is a cultural activity*(pp. 1–10). Winter: American Educator.Google Scholar - Stigler, J., & Hiebert, J. (1999).
*The teaching gap: Best ideas from the world’s teachers for improving education in the classroom*. New York, NY: Free Press.Google Scholar - Stromquist, N. P., & Monkman, K. (2000). Defining globalization and assessing its implications on knowledge and education. In N. P. Stromquist & K. Monkman (Eds.),
*Globalization and education*(pp. 3–25). Lanham, MD: Rowman & Littlefield.Google Scholar - Van den Heuvel-Panhuizen, M. (2001). Realistic mathematics education in the Netherlands. In J. Anghileri (Ed.),
*Principles and practices in arithmetic teaching: Innovative approaches for the primary classroom*(pp. 49–63). Buckingham, UK: Open University Press.Google Scholar - Wells, G. (1999).
*Dialogic inquiry: Towards a sociocultural practice and theory of education*. Cambridge, UK: Cambridge University Press.Google Scholar - Wenger, E. (1998).
*Communities of practice: Learning, meaning and identity*. Cambridge, UK: Cambridge University Press.Google Scholar - White, A. L. (2004a). The long-term effectiveness of lesson study, a New South Wales mathematics teacher professional development program. In I. P. A. Cheong, H. S. Dhindsa, I. J. Kyeleve, & O. Chukwu (Eds.),
*Globalisation trends in science, mathematics and technical Education 2004*(pp. 320–338). Gadong, Brunei Darussalam: Universiti Brunei Darussalam.Google Scholar - White, A. L. (2004b).
*Evaluation report, Active Mathematics in Classrooms: A professional development program for primary school teachers in Brunei Darussalam*. Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - White, A. L. (2006). An examination of the international manifestations of lesson study that began as a Japanese model of teacher professional learning. In H. S. Dhindsa, I. J. Kyeleve, O. Chukwu, & J. S. H. Q. Perera (Eds.),
*Shaping the future of science, mathematics and technical education*(pp. 129–138). Gadong, Brunei Darussalam: Universiti Brunei Darussalam.Google Scholar - White, A. L. (2008).
*Counting On: Evaluation of the impact of Counting On 2007 program*. Sydney, Australia: Curriculum K-12 Directorate, Department of Education and Training. Retrieved January 11, 2011 from http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/assets/pdf/counting_on/co_eval_2007.pdf. - White, A. L. (2009)
*Counting On 2008 final report.*Sydney, Australia: Curriculum K-12 Directorate, Department of Education and Training. Retrieved from http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/assets/pdf/counting_on/co_eval_2008.pdf. - White, A. L. (2010).
*Counting On in the Middle Years 2009*:*Program evaluation report.*Sydney, Australia: Curriculum K-12 Directorate, Department of Education and Training. Retrieved from http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/assets/pdf/counting_on/co_eval_2009.pdf. - White, A. L., & Clements, M. A. (2005). Energising upper-primary mathematics classrooms in Brunei Darussalam: The Active Mathematics in Classrooms (AMIC) Project. In H. S. Dhindsa, I. J. Kyeleve, O. Chukwu, & J. S. H. Q. Perera (Eds.),
*Future directions in science, mathematics and technical education*(pp. 151–160). Brunei Darussalam: Universiti Brunei Darussalam.Google Scholar - White, A. L., & Lim, C. S. (2007). Lesson study in a global world. In C. S. Lim, S. Fatimah, G. Munirah, M. Y. Hashimah, W. L. Gan, & T. Y. Hwa (Eds.),
*Meeting the challenges of developing quality mathematics education*(pp. 567–573). Penang, Malaysia: Universiti Sains Malaysia.Google Scholar - White, A. L., & Lim, C. S. (2008). Lesson study in Asia Pacific classrooms: Local responses to a global movement.
*ZDM—The International Journal of Mathematics Education, 40*(6), 915–925.Google Scholar - White, A. L., & Southwell, B. (2003). Lesson study: A model of professional development for teachers of mathematics in years 7 to 12. In L. Bragg, C. Campbell, G. Herbert, & J. Mousley (Eds.),
*Mathematics education research: Innovation, networking, opportunity: Proceedings of the 26th Annual Conference of the Mathematics Education Research Group of Australasia*(Vol. 2, pp. 744–751). Geelong, Australia: Deakin University.Google Scholar - Witmann, E. C. (1998). Mathematics education as a “design science.” In A. Sierpinska & J. Kilpatrick (Eds.),
*Mathematics education as a research domain: A search for identity*(pp. 87–103). Dordrecht: Kluwer Academic Publishers.Google Scholar - Wood, T., Jaworski, B., Krainer, K., Tirosh, D., & Sullivan, P. (Eds.). (2008).
*The international handbook of mathematics teacher education*. Rotterdam, The Netherlands: Sense Publishers.Google Scholar - Hjh Yunaidah bte Hj Yunus (2003).
*Fractions: Going beyond area models to assist student learning.*Bandar Seri Begawan, Brunei Darussalam: Brunei Darussalam Ministry of Education.Google Scholar - Zack, V., Mousley, J., & Breen, C. (Eds.). (1997).
*Developing practice: Teachers’ inquiry and educational change*. Geelong, Australia: Centre for Studies in Mathematics, Science and Environmental Education, Deakin University.Google Scholar - Zaslavsky, O. (2008). Meeting the challenges of mathematics teacher education through design and use of tasks that facilitate teacher learning. In T. Wood, B. Jaworski, K. Krainer, D. Tirosh, & P. Sullivan (Eds.),
*The international handbook of mathematics teacher education*(Vol. 4, pp. 93–114)*.*Rotterdam, The Netherlands: Sense Publishers.Google Scholar