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The FIRSTMATH Study: Concepts, Methods, and Strategies for Comparative International Research in Mathematics Education

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Abstract

This chapter introduces the reader to the methods and findings of a National Science Foundation (NSF) funded proof-of-concept (PoC) research study of the first 5 years of teaching primary and secondary school mathematics (FIRSTMATH) using a comparative and international approach. Throughout the book, we discuss the challenges entailed in the development of concepts, methods, and strategies for scaling such a study. The research reported in this book builds from the methods and findings of the Teacher Education Development Study in Mathematics (TEDS-M), and earlier studies that have explored the experiences of beginning teachers. The key question for FIRSTMATH was: How do primary and secondary novice mathematics teachers differ nationally and cross-nationally in their demographic characteristics, preparation, knowledge for teaching, teaching assignments, working conditions, teaching practice, and pupil learning? The FIRSTMATH team developed knowledge tests and background questionnaires for beginning teachers and their pupils, as well as interviews and a mathematics-focused observation protocol to gather more direct evidence of instructional knowledge and practices, and explored an alternative to value added models (VAMs) to model teacher-pupil interactions as teachers pursue instructional goals.

References

  1. Alliance for Excellent Education. (2005). Teacher attrition: A costly loss to the nation and to the states. http://www.all4ed.org/files/archive/publications/TeacherAttrition.pdf
  2. American Educational Research Association (AERA). (2015). AERA statement on use of value-added models (VAM) for the evaluation of educators and educator preparation programs. Educational Researcher, 44, 448–452.CrossRefGoogle Scholar
  3. Baumert, J. R., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y. (2010). Teachers’ mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47(1), 133–180.CrossRefGoogle Scholar
  4. Berliner, D. (2001). Learning about learning from expert teachers. International Journal of Educational Research, 35(5), 463–482.CrossRefGoogle Scholar
  5. Boyd, D., Grossman, P., Lankford, H., Loeb, S., & Wyckoff, J. (2006). How changes in entry requirements alter the teacher workforce and affect student achievement. Education Finance and Policy, 1(2), 176–216.CrossRefGoogle Scholar
  6. Britton, E., Paine, L., Pimm, D., & Raizen, S. (Eds.). (2003). Comprehensive teacher induction: Systems for early career learning. Dordrecht, the Netherlands: Kluwer Academic Publishers.Google Scholar
  7. Cady, J., Meier, S. L., & Lubinski, C. A. (2006). Developing mathematics teachers: The transition from preservice to experienced teacher. Journal of Educational Research, 99(5), 295–305.CrossRefGoogle Scholar
  8. Carnoy, M., Brodziak, I., Luschei, T., Beteille, T., & Loyalka, P. (2009). Do countries paying teachers higher relative salaries have higher student mathematics achievement? Amsterdam, the Netherlands: International Association for the Evaluation of Educational Achievement.Google Scholar
  9. Cohen, D. K., Moffitt, S. L., & Goldin, S. (2007). Policy and practice. In S. Furman, D. Cohen, & F. Mosher (Eds.), The state of education policy research (pp. 63–85). Mahwah, NJ: Lawrence Erlbaum Associates.Google Scholar
  10. De Ayala, R. J. (2009). The theory and practice of item response theory. New York, NY: The Guilford Press.Google Scholar
  11. Edwards, A. (2016). The dialectic of person and practice: How cultural-historical accounts of agency can inform teacher education. In D. J. Clandinin (Ed.), SAGE handbook of research on teacher education (pp. 269–285). London, UK: Sage Publications.Google Scholar
  12. Elmore, R. (2000). Building a new structure for school leadership. Washington, DC: The Albert Shanker Institute.Google Scholar
  13. Fellers, P. S. (2014). Value-added methodology for estimating professional development program effects. Doctoral dissertation. http://digitalcommons.unl.edu/dissertations/AAI3642746
  14. Fletcher, S. H., & Strong, M. (2009). Full-release and site-based mentoring of elementary grade new teachers: An analysis of changes in student achievement. New Educator, 5, 329–341.CrossRefGoogle Scholar
  15. Fletcher, S. H., Strong, M., & Villar, A. (2008). An investigation of the effects of variations in mentor-based induction on the performance of students in California. Teachers College Record, 110, 2271–2289.Google Scholar
  16. Garet, M. S., Porter, A. C., Desimone, L., Birman, B. F., & Yoon, K. S. (2001). What makes professional development effective? Results from a national sample of teachers. American Educational Research Journal, 38(4), 915–945.CrossRefGoogle Scholar
  17. Glazerman, S., Senesky, S., Seftor, N., & Johnson, A. (2006). Design of an impact evaluation of teacher induction programs (Final Report No. 6137-070). Washington, DC: Mathematica Policy Research. http://www.mathematica-mpr.com/publications/PDFs/designimpact.pdf
  18. Glazerman, S., Dolfin, S., Bleeker, M., Johnson, A., Isenberg, E., Lugo-Gil, J., Grider, M., Britton, E., & Ali, M. (2008). Impacts of comprehensive teacher induction: Results from the first year of a randomized controlled study (NCEE 2009-4034). Washington, DC: U.S. Department of Education.Google Scholar
  19. Glazerman, S., Isenberg, E., Dolfin, S., Bleeker, M., Johnson, A., Grider, M., & Jacobus, M. (2010). Impacts of comprehensive teacher induction: Final results from a randomized controlled study (NCEE 2010-4027). Washington, DC: U.S. Department of Education.Google Scholar
  20. Good, T. L., Grows, D. A., & Ebmeier, M. (1983). Active mathematics teaching. New York, NY: Longman.Google Scholar
  21. Greenberg, J., & Walsh, K. (2008). No common denominator: The preparation of elementary teachers in mathematics by America’s education schools. Washington, DC: National Council on Teacher Quality. http://www.nctq.org
  22. Hill, H. C. (2010). The nature and predictors of elementary teachers’ mathematical knowledge for teaching. Journal for Research in Mathematics Education, 41(5), 513–545.Google Scholar
  23. Hill, H. C., Blunk, M. L., Charalambous, C. Y., Lewis, J. M., Phelps, G. C., Sleep, L., & Ball, D. L. (2008). Mathematical knowledge for teaching and the mathematical quality of instruction: An exploratory study. Cognition and Instruction, 26, 430–511.CrossRefGoogle Scholar
  24. Howe, E. R. (2006). Exemplary teacher induction: An international review. Educational Philosophy and Theory, 38(3), 287–297.CrossRefGoogle Scholar
  25. Huberman, M. (1985). What knowledge is of most worth to teachers? A knowledge-use perspective. Teaching and Teacher Education, 1(3), 251–262.CrossRefGoogle Scholar
  26. Ingersoll, R., Merrill, L., & May, H. (2014). What are the effects of teacher education and preparation on beginning teacher attrition? (#RR-82). Philadelphia, PA: Consortium for Policy Research in Education, University of Pennsylvania.Google Scholar
  27. Ingersoll, R. M. (2001). Teacher turnover and teacher shortages: An organizational analysis. American Educational Research Journal, 38(3), 499–534.CrossRefGoogle Scholar
  28. Ingersoll, R. M., & Strong, M. (2011). The impact of induction and mentoring programs for beginning teachers: A critical review of the research. Review of Educational Research, 81(2), 201–233.CrossRefGoogle Scholar
  29. Isenberg, E., Glazerman, S., Bleeker, M., Johnson, A., Lugo-Gil, J., Grider, M., & Dolfin, S. (2009). Impacts of comprehensive teacher induction: Results from the second year of a randomized controlled study (NCEE 2009–4072). Washington, DC: U.S. Department of Education.Google Scholar
  30. Johnson, S. M., & Birkeland, S. E. (2003). Pursuing a “sense of success”: New teachers explain their career decisions. American Educational Research Journal, 40(3), 581–617.Google Scholar
  31. Johnson, S. M., Kardos, S. M., Kauffman, D., Liu, E. & Donaldson, M. L. (2004). The support gap: New teachers’ early experiences in high income and low-income schools. Education Policy Analysis Archives, 12(61). http://epaa.asu.edu/epaa/v12n61/
  32. Kane, T. (2007). New teachers outdo peers of last decade on academic scales. Education Week, 12/19/07. https://www.edweek.org/ew/articles/2007/12/19/16ets.h27.htmlGoogle Scholar
  33. Kardos, S. M., Johnson, S. M., Peske, H. G., Kauffman, D., & Liu, E. (2001). Counting on colleagues: New teachers encounter the professional cultures of their schools. Educational Administration Quarterly, 37(2), 250–290.CrossRefGoogle Scholar
  34. Krauss, S., Brunner, M., Kunter, M., Baumert, J. R., Blum, W., Neubrand, M., & Alexander, J. (2008). Pedagogical content knowledge and content knowledge of secondary mathematics teachers. Journal of Educational Psychology, 100, 716–725.CrossRefGoogle Scholar
  35. LeCompte, M. D. (2009). Trends in research on teaching: an historical and critical overview. In L. J. Saha & A. G. Dworkin (Eds.), International handbook of research on teachers and teaching. Boston, MA: Springer.Google Scholar
  36. Martineau, J. A. (2004). The effects of construct shift on growth and accountability models. Unpublished dissertation, Michigan State University.Google Scholar
  37. Munby, H. H., Russell, T., & Martin, A. K. (2001). Teachers’ knowledge and how it developed. In V. Richardson (Ed.), Handbook of research on teaching (pp. 87–904). Washington, DC: American Educational Research Association.Google Scholar
  38. National Academy of Sciences. (2001). Educating teachers of science, mathematics, and technology, new practices for the new millennium. Washington, DC: National Academy Press. https://www.nap.edu/catalog/9832/educating-teachers-of-science-mathematics-and-technology-new-practices-for
  39. National Commission on Teaching and America’s Future. (2005). Induction to learning communities. National Commission on Teaching and America’s Future. http://www.nctaf.org/documents/NCTAF_Induction_Paper_2005.pdf
  40. OECD. (2010). Educating teachers for diversity: Meeting the challenge. http://www.oecd.org/education/ceri/educatingteachersfordiversitymeetingthechallenge.htm
  41. Rockoff, J. E. (2008). Does mentoring reduce turnover and improve skills of new employees? Evidence from teachers in New York City (Working Paper 13868). Cambridge, MA: National Bureau of Economic Research. http://www.nber.org/papers/w13868
  42. Stanulis, R. N., Little, S., & Wibbens, E. (2012). Intensive mentoring that contributes to change in beginning elementary teachers’ learning to lead classroom discussions. Teaching and Teacher Education, 28(1), 32–43.CrossRefGoogle Scholar
  43. Tatto, M. T. (1996). Examining values and beliefs about teaching diverse students: Understanding the challenges for teacher education. Educational Evaluation and Policy Analysis, 18, 155–180.CrossRefGoogle Scholar
  44. Tatto, M. T. (1998). The influence of teacher education on teachers’ beliefs about purposes of education, roles and practice. Journal of Teacher Education, 49, 66–77.CrossRefGoogle Scholar
  45. Tatto, M. T. (1999). The socializing influence of normative cohesive teacher education on teachers’ beliefs about instructional choice. Teachers and Teaching, 5, 111–134.CrossRefGoogle Scholar
  46. Tatto, M. T. (2007). Reforming teaching globally. Oxford, UK: Symposium Books. (Reprinted in 2009 Information Age Publishers).Google Scholar
  47. Tatto, M. T. (Ed.). (2013). The Teacher Education and Development Study in Mathematics (TEDS-M). Policy, practice, and readiness to teach primary and secondary mathematics in 17 countries: Technical report. Amsterdam, the Netherlands: International Association for the Evaluation of Student Achievement.Google Scholar
  48. Tatto, M. T. (2015). The role of research in the policy and practice of quality teacher education: An international review. Oxford Review of Education, 41(2), 171–201.CrossRefGoogle Scholar
  49. Tatto, M. T. (2017). The role of comparative and international research in developing capacity to study and improve teacher education. In M. A. Peters, B. Cowie, & I. Menter (Eds.), A companion to research in teacher education. Singapore, Singapore: Springer.Google Scholar
  50. Tatto, M. T., & Bankov, K. (2018). The intended, implemented, and achieved curriculum of mathematics teacher education in the United States. In M. T. Tatto, M. C. Rodriguez, W. M. Smith, M. D. Reckase, & K. Bankov (Eds.), Exploring the mathematics education of teachers using TEDS-M data. Dordrecht, the Netherlands: Springer.CrossRefGoogle Scholar
  51. Tatto, M. T., Burn, K., Menter, I., Mutton, T., & Thompson, I. (2018). Learning to teach in England and the United States: The evolution of policy and practice. Abingdon, UK: Routledge.Google Scholar
  52. Tatto, M. T., & Hordern, J. (2017). The configuration of teacher education as a professional field of practice: A comparative study of mathematics education. In J. Furlong & G. Whitty (Eds.), Knowledge and the study of education: An international exploration (pp. 255–274). Oxford, UK: Oxford Comparative Education Series, Symposium Books.Google Scholar
  53. Tatto, M. T., Rodriguez, M. C., Smith, W. M., Reckase, M. D., & Bankov, K. (Eds.). (2018). Exploring the mathematics education of teachers using TEDS-M data. Dordrecht, the Netherlands: Springer.Google Scholar
  54. Tatto, M. T., Schwille, J., Senk, S. L., Ingvarson, L., Rowley, G., Peck, R., … Reckase, M. (2012). Policy, practice, and readiness to teach primary and secondary mathematics in 17 countries. Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M). Amsterdam, the Netherlands: International Association for the Evaluation of Student Achievement.Google Scholar
  55. Wang, J., Odell, S. J., & Schwille, S. A. (2008). Effects of teacher induction on beginning teachers' teaching. Journal of Teacher Education, 59(2), 132–152.CrossRefGoogle Scholar
  56. Wang, J., & Paine, L. W. (2001). Mentoring as assisted performance: A pair of Chinese teachers working together. Elementary School Journal, 102(2), 157–181.CrossRefGoogle Scholar
  57. Wong, K. H., Britton, T., & Ganser, T. (2005). What the world can teach us about new teacher induction. Phi Delta Kappan, 86(5), 379–384.CrossRefGoogle Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Mary Lou Fulton Teachers CollegeArizona State UniversityTempeUSA
  2. 2.Educational PsychologyUniversity of MinnesotaMinneapolisUSA
  3. 3.College of EducationMichigan State UniversityEast LansingUSA
  4. 4.Center for Science, Mathematics & Computer EducationUniversity of Nebraska-LincolnLincolnUSA
  5. 5.Faculty of Mathematics and Informatics, the University of SofiaInstitute of Mathematics and Informatics, Bulgarian Academy of SciencesSofiaBulgaria
  6. 6.Oakland Community CollegeEast LansingUSA

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