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Articles

Transforming Preservice Teachers’ Conceptions and Lesson Plan Designs for Teaching Mathematics from a Direct-Teaching Approach to a Reform-Based Approach

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References

  • Afamasaga-Fuata’i, K., & Sooaemalelagi, L. (2014). Student teachers’ mathematics attitudes, authentic investigations and use of metacognitive tools. Journal of Mathematics Teacher Education, 17(4), 331–368. https://doi.org/10.1007/s10857-014-9270-y
  • Ambrose, R. (2004). Initiating change in prospective elementary school teachers’ orientations to mathematics teaching by building on beliefs. Journal of Mathematics Teacher Education, 7(2), 91–119. https://doi.org/10.1023/B:JMTE.0000021879.74957.63
  • Association of Mathematics Teacher Educators. (2017). AMTE standards for mathematics teacher preparation. Author.
  • Borko, H., & Putnam, R. (1996). Learning to teach. In D. C. B. R. C. Calfee (Ed.), Handbook of educational psychology (pp. 673–708). Simon & Schuster Macmillan.
  • Boudah, D. J., Deshler, D. D., Schumaker, J. B., Lenz, B. K., & Cook, B. (1997). Student-centered or content-centered? A case study of a middle school teacher’s lesson planning and instruction in inclusive classes. Teacher Education and Special Education, 20(3), 189–203. https://doi.org/10.1177/088840649702000302
  • Brady, P., & Bowd, A. (2005). Mathematics anxiety, prior experience and confidence to teach mathematics among pre-service education students. Teachers and Teaching, 11(1), 37–46. https://doi.org/10.1080/1354060042000337084
  • Bransford, J. D., Brown, A. L., & Cocking, R. R. (eds.). (2000). How people learn: Brain, mind, experience, and school. National Academy Press.
  • Brendefur, J., & Frykholm, J. (2000). Promoting mathematical communication in the classroom: Two preservice teachers’ conceptions and practices. Journal of Mathematics Teacher Education, 3(2), 125–153. https://doi.org/10.1023/A:1009947032694
  • Causton‐Theoharis, J. N., Theoharis, G. T., & Trezek, B. J. (2008). Teaching pre‐service teachers to design inclusive instruction: A lesson planning template. International Journal of Inclusive Education, 12(4), 381–399. https://doi.org/10.1080/13603110601156509
  • Charalambous, C. Y., Panaoura, A., & Philippou, G. (2009). Using the history of mathematics to induce changes in preservice teachers’ beliefs and attitudes: Insights from evaluating a teacher education program. Educational Studies in Mathematics, 71(2), 161–180. https://doi.org/10.1007/s10649-008-9170-0
  • Cooney, T. J., Shealy, B. E., & Arvold, B. (1998) Conceptualizing belief structures of preservice secondary mathematics teachers. Journal for Research in Mathematics Education, 29(3), 306–333. https://doi.org/10.2307/749792
  • Common Core State Standards Initiative. (2010). Common core state standards for mathematics. National Governors Association Center for Best Practices & Council of Chief State School Officers. http://www.corestandards.org/assets/CCSSI_Math%20Standards.pdf
  • Courey, S. J., Tappe, P., Siker, J., & LePage, P. (2013). Improved lesson planning with universal design for learning (UDL). Teacher Education and Special Education, 36(1), 7–27. https://doi.org/10.1177%2F0888406412446178
  • Di Martino, P., & Zan, R. (2011). Attitude towards mathematics: A bridge between beliefs and emotions. ZDM, 43(4), 471–482. https://doi.org/10.1007/s11858-011-0309-6
  • Ding, M., & Carlson, M. A. (2013). Elementary teachers’ learning to construct high-quality mathematics lesson plans: A use of the IES recommendations. The Elementary School Journal, 113(3), 359–385. https://doi.org/10.1086/668505
  • Drake, C., Spillane, J. P., & Hufferd-Ackels, K. (2001). Storied identities: Teacher learning and subject matter context. Journal of Curriculum Studies, 33(1), 1–23. https://doi.org/10.1080/00220270119765
  • Drost, B. R., & Levine, A. C. (2015). An analysis of strategies for teaching standards-based lesson plan alignment to preservice teachers. Journal of Education, 195(2), 37–47. https://doi.org/10.1177/002205741519500206
  • Ford, M. I. (1994). Teachers’ beliefs about mathematical problem solving in the elementary school. School Science and Mathematics, 94(6), 314–322. https://doi.org/10.1111/j.1949-8594.1994.tb15683.x
  • Franke, M. L., Kazemi, E., & Battey, D. (2007). Understanding teaching and classroom practice in mathematics. Second Handbook of Research on Mathematics Teaching and Learning, 1, 225–256.
  • Fujii, T., & Iitaka, S. (2012). Mathematics international, grades 1-6. Tokyo Shoseki Co., Ltd.
  • Hart, L. C. (2002). Preservice teachers’ beliefs and practice after participating in an integrated content/methods course. School Science and Mathematics, 102(1), 4–14. https://doi.org/10.1111/j.1949-8594.2002.tb18191.x
  • Herrington, T., & Cockcroft, B. (1992). The ideal teacher. Australian Mathematics Teacher, 48(1), 4–7.
  • Hughes, E. K. (2007). Lesson planning as a vehicle for developing pre-service secondary teachers’ capacity to focus on students’ mathematical thinking [Unpublished doctoral dissertation]. University of Pittsburgh.
  • Grossman, P. L. (1990). The making of a teacher: Teacher knowledge and teacher education. Teachers College Press, Teachers College, Columbia University
  • Gomez, C. N., & Conner, A. (2020). Impact of Cooney, Shealy, and Arvold’s (1998) belief structures: A literature review and citation analysis. Journal for Research in Mathematics Education, 51(4), 468–503. https://doi.org/10.5951/jresematheduc-2020-0046
  • Jong, C., & Hodges, T. E. (2015). Assessing attitudes toward mathematics across teacher education contexts. Journal of Mathematics Teacher Education, 18(5), 407–425. https://doi.org/10.1007/s10857-015-9319-6
  • Kagan, D. (1992). Professional growth among pre-service and beginning teachers. Review of Educational Research, 62(2), 129–169. https://doi.org/10.3102/00346543062002129
  • Kajander, A. (2010). Elementary mathematics teacher preparation in an era of reform: The development and assessment of mathematics for teaching. Canadian Journal of Education, 33(1), 228–255. https://www.jstor.org/stable/canajeducrevucan.33.1.228
  • Kalchman, M. (2011). Preservice teachers’ changing conceptions about teaching mathematics in urban elementary classrooms. Journal of Urban Mathematics Education, 4(1), 75–97. https://doi.org/10.21423/jume-v4i1a97
  • Lavy, I., & Shriki, A. (2008). Investigating changes in prospective teachers’ views of a ‘good teacher’while engaging in computerized project-based learning. Journal of Mathematics Teacher Education, 11(4), 259–284. https://doi.org/10.1007/s10857-008-9073-0
  • Lewis, J. M., Fischman, D., & Riggs, M. (2015). Defining, developing, and measuring “proclivities for teaching mathematics”. Journal of Mathematics Teacher Education, 18(5), 447–465. https://doi.org/10.1007/s10857-015-9321-z
  • Macks, J. (2013). My favorite lesson: The dog pen problem. Mathematics Teacher, 107(1), 80. https://doi.org/10.5951/mathteacher.107.1.0080
  • Martin, W. G., & Hart, E. W. (2012). Standards for high school mathematics in the common core state standards era. In C. R. Hirsch, G. T. Lappan, & B. J. Reys (Eds.), Curriculum issues in an era of common core state standards for mathematics (pp. 47–60). NCTM.
  • Matthews, M. E., Hlas, C. S., & Finken, T. M. (2009). Using lesson study and four-column lesson planning with preservice teachers. Mathematics Teacher, 102(7), 504–508. https://doi.org/10.5951/MT.102.7.0504
  • McGhie-Richmond, D., & Sung, A. N. (2013). Applying universal design for learning to instructional lesson planning. International Journal of Whole Schooling, 9(1), 43–59. https://eric.ed.gov/?id=EJ1016798
  • Mistretta, R. M. (2003). Intersecting and perpendicular lines: Activities to prevent misconceptions. Mathematics Teaching in the Middle School, 9(2), 84–91. https://doi.org/10.5951/MTMS.9.2.0084
  • National Council of Teachers of Mathematics. (1989). Curriculum and evaluation standards for school mathematics. NCTM.
  • National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. NCTM.
  • National Council of Teachers of Mathematics (NCTM). (2014). Principles to actions: Ensuring mathematical success for all. NCTM.
  • National Council of Teachers of Mathematics (NCTM). (2015). Principles to actions professional learning toolkit: Equitable pedagogy. NCTM. https://www.nctm.org/Conferences-and-Professional-Development/Principles-to-Actions-Toolkit/Equitable-Pedagogy/
  • Nunnally, J. C. (1978). Psychometric theory (2nd ed.). New York: McGraw Hill.
  • Nyaumwe, L. (2004). The impact of full time student teaching on preservice teachers’ conceptions of mathematics teaching and learning. Mathematics Teacher Education and Development, 6, 19–32. https://mted.merga.net.au/index.php/mted/article/view/101
  • Pajares, M. F. (1992). Teachers’ beliefs and educational research: Cleaning up a messy construct. Review of Educational Research, 62(3), 307–332. https://doi.org/10.3102/00346543062003307
  • Panasuk, R., Stone, W., & Todd, J. (2002). Lesson planning strategy for effective mathematics teaching. Education, 122(4), 808–829. https://www.questia.com/library/journal/1G1-90188954/lesson-planning-strategy-for-effective-mathematics
  • Panasuk, R. M., & Todd, J. (2005). Effectiveness of lesson planning: Factor analysis. Journal of Instructional Psychology, 32(3), 215. https://www.questia.com/library/journal/1G1-137791002/effectiveness-of-lesson-planning-factor-analysis
  • Philipp, R. A. (2007). Mathematics teachers’ beliefs and affect. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (Vol. 1, pp. 257–315). Information Age Publishing.
  • Piaget, J. (1972). The psychology of the child. Basic Books.
  • Polly, D., McGee, J. R., Wang, C., Lambert, R. G., Pugalee, D. K., & Johnson, S. (2013). The association between teachers’ beliefs, enacted practices, and student learning in mathematics. Mathematics Educator, 22(2), 11–30. https://openjournals.libs.uga.edu/tme/article/view/1979
  • Prince, M. J., & Felder, R. M. (2006). Inductive teaching and learning methods: Definitions, comparisons, and research bases. Journal of Engineering Education, 95(2), 123–138. https://doi.org/10.1002/j.2168-9830.2006.tb00884.x
  • Schoenfeld, A., Minstrell, J., & van Zee, E. (2000). The detailed analysis of an established teachers’ non-traditional lesson. Journal of Mathematical Behavior, 18(3), 281–325. https://doi.org/10.1016/S0732-3123(99)00035-8
  • Schoenfeld, A. H. (2014). What makes for powerful classrooms, and how can we support teachers in creating them? A story of research and practice, productively intertwined. Educational Researcher, 43(8), 404–412. https://doi.org/10.3102/0013189X14554450
  • Sharp, J., & Kim, M. K. (2000). Investigating and measuring preservice elementary mathematics teachers’ decision about lesson planning after experiencing technologically-enhanced methods instruction. Journal of Computers in Mathematics and Science Teaching, 19(4), 317–338. https://www.learntechlib.org/primary/p/9536/
  • Skott, J. (2001). The emerging practices of a novice teacher: The roles of his school mathematics images. Journal of Mathematics Teacher Education, 4(1), 3–28. https://doi.org/10.1023/A:1009978831627
  • Smith, M. S., & Stein, M. K. (1998). Selecting and creating mathematical tasks: From research to practice. Mathematics Teaching in the Middle School, 3(5), 344–350. https://doi.org/10.5951/MTMS.3.5.0344
  • Spooner, F., Baker, J. N., Harris, A. A., Ahlgrim-Delzell, L., & Browder, D. M. (2007). Effects of training in universal design for learning on lesson plan development. Remedial and Special Education, 28(2), 108–116. https://doi.org/10.1177/07419325070280020101
  • Stipek, D. J., Givvin, K. B., Salmon, J. M., & MacGyvers, V. L. (2001). Teachers’ beliefs and practices related to mathematics instruction. Teaching and Teacher Education, 17(2), 213–226. https://doi.org/10.1016/S0742-051X(00)00052-4
  • Sunal, C. S., & Sunal, D. W. (2003). Teacher candidates’ conceptualization of guided inquiry and lesson planning in social studies following web-assisted instruction. Theory & Research in Social Education, 31(2), 243–264. https://doi.org/10.1080/00933104.2003.10473224
  • Swars, S. L., Smith, S. Z., Smith, M. E., & Hart, L. C. (2009). A longitudinal study of effects of a developmental teacher preparation program on elementary prospective teachers’ mathematics beliefs. Journal of Mathematics Teacher Education, 12(1), 47–66. https://doi.org/10.1007/s10857-008-9092-x
  • Szydlik, J. E., Szydlik, S. D., & Benson, S. R. (2003). Exploring changes in pre-service elementary teachers’ mathematical beliefs. Journal of Mathematics Teacher Education, 6(3), 253–279. https://doi.org/10.1023/A:1025155328511
  • Thompson, A. G. (1984). The relationship of teachers’ conceptions of mathematics and mathematics teaching to instructional practice. Educational Studies in Mathematics, 15(2), 105–127. https://doi.org/10.1007/BF00305892
  • Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grows (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). Macmillan.
  • Van de Walle, J. A., Karp, K. S., & Bay-Willams, J. M. (2016). Elementary and middle school mathematics: Teaching developmentally (10th ed.). Pearson.
  • Weil, M., & Joyce, B. (1978). Information processing models of teaching: Expanding your teaching repertoire. Prentice Hall.
  • Wilkins, J. L. M. (2008). The relationship among elementary teachers’ content knowledge, attitudes, beliefs, and practices. Journal of Mathematics Teacher Education, 11(2), 139–164. https://doi.org/10.1007/s10857-007-9068-2
  • Wilson, M., & Cooney, T. J. (2002). Mathematics teacher change and development. In G. C. Leder, E. Pehkonene, & G. Torner (Eds.), Beliefs: A hidden variable in mathematics education? (pp. 127–147). Springer.

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