Perspectives on priority mathematics education: Unpacking and understanding a complex relationship linking teacher knowledge, teaching, and learning

Handbook of International Research in Mathematics Education: Third Edition

Volumn , Issue , 2015, Pages 19-59

  Charalambous, Charalambos Y ^a   Pitta Pantazi, Demetra ^a  

^a UNIVERSITY OF CYPRUS   (Cyprus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84941286282     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.4324/9780203448946     Document Type: Chapter

References (341)

1. Adler, J., & Davis, Z. (2006). Opening another black box: Researching mathematics for teaching in mathematics teacher education. Journal for Research in Mathematics Education, 37(4), 270-296. doi:10.2307/30034851
2. Adler, J., & Huillet, D. (2008). The social production of mathematics for teaching. In P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development (Vol. 1, pp. 195-221). Rotterdam, The Netherlands: Sense Publishers.
3. Alsawaie, O. N. (2012). Number sense-based strategies used by high-achieving sixth grade students who experienced reform textbooks. International Journal of Science and Mathematics Education, 10(5), 1071-1097. doi:10.1007/s10763-011-9315-y
4. Ambrose, R., & Molina, M. (2014). Spanish/English bilingual students' comprehension of arithmetic story problem texts. International Journal of Science and Mathematics Education, 12(6), 1469-1496. doi:10.1007/s10763-013-9472-2
5. Amrein-Beardsley, A. (2008). Methodological concerns about the education value-added assessment system. Educational Researcher, 37(2), 65-75. doi:10.3102/0013189X08316420
6. Andrews, P. (2011). The cultural location of teachers' mathematical knowledge: Another hidden variable in mathematics education research? In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 99-118). New York: Springer. doi:10.1007/978-90-481-9766-8_7
7. Arbaugh, F., Herbel-Eisenmann, B., Ramirez, N., Knuth, E., Kranendonk, H., & Quander, J. R. (2010). Linking research and practice: The NCTM research agenda conference report. Reston, VA: National Council of Teachers of Mathematics.
8. Artigue, M., Bartolini-Bussi, M., Dreyfus, T., Gray, E., & Prediger, S. (2005). Different theoretical perspectives and approaches in research in mathematics education. In M. Bosch (Ed.), Proceedings of the Fourth Congress of the European Society for Research in Mathematics Education (pp. 1239-1244). Barcelona: Fundemi IQS.
9. Askew, M. (2008). Mathematical discipline knowledge requirements for prospective primary teachers, and the structure and teaching approaches of programs designed to develop that knowledge. In P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development (Vol. 1, pp. 13-35). Rotterdam, The Netherlands: Sense Publishers.
10. Bair, S. L., & Rich, B. S. (2011). Characterizing the development of specialized mathematical content knowledge for teaching in algebraic reasoning and number theory. Mathematical Thinking and Learning, 13(4), 292-321. doi:10.1080/10986065.2011.608345
11. Baker, E. L., Barton, P. E., Darling-Hammond, L., Haertel, E., Ladd, H. F., Linn, R. L., Shepard, L. A. (2010, August). Problems with the use of student test scores to evaluate teachers (Briefing Paper No. 278). Washington, DC: Economic Policy Institute.
12. Baker, D., Street, B., & Tomlin, A. (2006). Navigating schooled numeracies: Explanations for low achievement, in mathematics of UK children from low SES background. Mathematical Thinking and Learning, 8(3), 287-307. doi:10.1207/s15327833mtl0803_5
13. Balfanz, R., Mac Iver, D. J., & Byrnes, V. (2006). The implementation and impact of evidence-based mathematics reforms in high-poverty middle schools: A multi-site, multi-year study. Journal for Research in Mathematics Education, 37(1), 33-64. doi:10.2307/30035051
14. Ball, D. L., & Bass, H. (2003). Toward a practice-based theory of mathematical knowledge for teaching. In E. Simmt and B. Davis (Eds.), Proceedings of the 2002 Annual Meeting of the Canadian Mathematics Education Study Group (pp. 3-14). Edmonton, AB: CMESC/GCEDM.
15. rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 121-125). Thessaloniki, Greece: PME.
16. Ball, D. L., & Hill, H. C. (2009). Measuring teacher quality in practice. In D. H. Gitomer (Ed.), Measurement issues and assessment for teaching quality (pp. 80-98). Thousand Oaks, CA: Sage.
17. Ball, D. L., Lubienski, S. T., & Mewborn, D. S. (2001). Research on teaching mathematics: The unsolved problem of teachers' mathematical knowledge. In V. Richardson (Ed.), Handbook of research on teaching (4th ed., pp. 433-456). Washington, DC: American Research Association.
18. Ball, D. L., & Rowan, B. (2004). Introduction: Measuring instruction. The Elementary School Journal, 105(1), 3-10.
19. Ball, D. L., Sleep, L., Boerst, T. A., & Bass, H. (2009). Combining the development of practice and the practice of development in teacher education. The Elementary School Journal, 109(5), 458-474. doi:10.1086/596996
20. Ball, D. L., Thames, M. H., & Phelps, G. (2008). Content knowledge for teaching: What makes it special? Journal of Teacher Education, 59(5), 389-407. doi:10.1177/0022487108324554
21. Barrett, J. E., Clements, D. H., Klanderman, D., Pennisi, S. J., & Polaki, M. V. (2006). Students' coordination of geometric reasoning and measuring strategies on a fixed perimeter task: Developing mathematical understanding of linear measurement. Journal for Research in Mathematics Education, 37(3), 187-221.
22. Battista, M. T. (2007). The development of geometric and spatial thinking. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 843-908). Reston, VA: National Council of Teachers of Mathematics.
23. Battista, M. T., & Clements, D. H. (1996). Students' understanding of three-dimensional rectangular arrays of cubes. Journal for Research in Mathematics Education, 27(3), 258-292. doi:10.2307/749365
24. Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A., Tsai, Y. M. (2010). Teachers' mathematical knowledge, cognitive activation in the classroom, and student progress. American Educational Research Journal, 47(1), 133-180. doi:10.3102/0002831209345157
25. Bednarz, N., & Proulx, J. (2009). Knowing and using mathematics in teaching: Conceptual and epistemological clarifications. For the Learning of Mathematics, 29(3), 11-17.
26. Begle, E. G. (1979). Critical variables in mathematics education: Findings from a survey of the empirical literature. Washington, DC: Mathematical Association of America.
27. Behr, M., Lesh, R., Post, T., & Silver E. (1983). Rational number concepts. In R. Lesh & M. Landau (Eds.), Acquisition of mathematics concepts and processes (pp. 91-125). New York: Academic Press.
28. Bell, C. A., Wilson, S., Higgins, T., & McCoach, D. B. (2010). Measuring the effects of professional development on teacher knowledge: The case of developing mathematical ideas. Journal for Research in Mathematics Education, 41(5), 479-512.
29. Beswick, K., Callingham, R., & Watson, J. (2012). The nature and development of middle school mathematics teachers' knowledge. Journal of Mathematics Teacher Education, 15(2), 131-157. doi:10.1007/s10857-011-9177-9
30. Biddlecomb, B., & Carr, M. (2011). A longitudinal study of the development of mathematics strategies and underlying counting schemes. International Journal of Science and Mathematics Education, 9(1), 1-24. doi:10.1007/s10763-010-9202-y
31. Bieda, K. N. (2010). Enacting proof-related tasks in middle school mathematics: Challenges and opportunities. Journal for Research in Mathematics Education, 41(4), 351-382.
32. Biggs, J. B., & Collis, K. F. (1991). Multimodal learning and the quality of intelligent behavior. In H.A.H. Rowe (Ed.), Intelligence: Reconceptualisation and measurement (pp. 57-75). Hillsdale, NJ: Erlbaum.
33. Bikner-Ahsbahs, A., & Prediger, S. (2010). Networking of theories -An approach for exploiting the diversity of theoretical approaches. In B. Sriraman & L. English (Eds.), Theories of mathematics education: Seeking new frontiers (pp. 483-506). London, UK: Springer.
34. Bjuland, R., Cestari, M. L., & Borgersen, H. E. (2008). The interplay between gesture and discourse as mediating devices in collaborative mathematical reasoning: A multimodal approach. Mathematical Thinking and Learning, 10(3), 271-292. doi:10.1080/10986060802216169
35. Blömeke, S., Suhl, U., & Döhrmann, M. (2013). Assessing strengths and weaknesses of teacher knowledge in Asia, Eastern Europe, and Western countries: Differential item functioning in TEDS-M. International Journal of Science and Mathematics Education, 11(4), 795-817. doi:10.1007/s10763-013-9413-0
36. Borich, G. D. (1992). Effective teaching methods (2nd ed.). New York: Macmillan.
37. Boston, M. D. (2012). Assessing instructional quality in mathematics. The Elementary School Journal, 113(1), 76-104. doi:10.1086/666387
38. Boston, M. D. (2013). Connecting changes in secondary mathematics teachers' knowledge to their experiences in a professional development workshop. Journal of Mathematics Teacher Education, 16(1), 7-31. doi:10.1007/s10857-012-9211-6
39. Boston, M. D., & Smith, M. S. (2009). Transforming secondary mathematics teaching: Increasing the cognitive demands of instructional tasks used in teachers' classrooms. Journal for Research in Mathematics Education, 40(2), 119-156.
40. Bray, W. S. (2011). A collective case study of the influence of teachers' beliefs and knowledge on error-handling practices during class discussion of mathematics. Journal for Research in Mathematics Education, 42(1), 2-38.
41. Brizuela, B. M. (2006). Young children's notations for fractions. Educational Studies in Mathematics, 62(3), 281-305. doi:10.1007/s10649-005-9003-3
42. Brophy, J. (1986). Teaching and learning mathematics: Where research should be going. Journal for Research in Mathematics Education, 17(5), 323-346. doi:10.2307/749326
43. Brophy, J., & Good, T. (1986). Teacher behavior and student achievement. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 328-375). New York: Macmillan.
44. Buchholtz, N., & Kaiser, G. (2013). Improving mathematics teacher education in Germany: Empirical results from a longitudinal evaluation of innovative programs. International Journal of Science and Mathematics Education, 11(4), 949-977. doi:10.1007/s10763-013-9427-7
45. Burton, L. (1984). Mathematical thinking: The struggle for meaning. Journal for Research in Mathematics Education, 15(1), 35-49. doi:10.2307/748986
46. Caddle, M. C., & Brizuela, B. M. (2011). Fifth graders' additive and multiplicative reasoning: Establishing connections across conceptual fields using a graph. The Journal of Mathematical Behavior, 30(3), 224-234. doi:10.1016/j.jmathb.2011.04.002
47. Cai, J., Moyer, J. C., Wang, N., Hwang, S., Nie, B., & Garber, T. (2013). Mathematical problem posing as a measure of curricular effect on students' learning. Educational Studies in Mathematics, 83(1), 57-69. doi:10.1007/s10649-012-9429-3
48. Cantrell, S., & Kane, T. J. (2013). Ensuring fair and reliable measures of effective teaching: Culminating findings from the MET project's three-year study. Seattle, WA: Bill & Melinda Gates Foundation. Retrieved from www.metproject.org/reports.php.
49. Carraher, D. W., Schliemann, A.D., Brizuela, B. M., & Earnest, D. (2006). Arithmetic and algebra in early mathematics education. Journal for Research in Mathematics Education, 37(2), 87-115.
50. Casabianca, J. M., McCaffrey, D. F., Gitomer, D. H., Bell, C. A., Hamre, B. K., & Pianta, R. C. (2013). Effect of observation mode on measures of secondary mathematics teaching. Educational and Psychological Measurement, 73(5), 757-783. doi:10.1177/0013164413486987
51. Cengiz, N., Kline, K., & Grant, T. J. (2011). Extending students' mathematical thinking during wholegroup discussions. Journal of Mathematics Teacher Education, 14(5), 355-374. doi:10.1007/s10857-011-9179-7
52. Chapin, S. H., O'Connor, C., & Anderson. N. C. (2003). Classroom discussions: Using math talk to help students learn. Sausalito, CA: Math Solutions Publications.
53. Charalambous, C. Y. (2008). Preservice teachers' Mathematical Knowledge for Teaching and their performance in selected teaching practices: Exploring a complex relationship. Unpublished doctoral dissertation, University of Michigan, Ann Arbor.
54. Charalambous, C. Y. (2010). Mathematical knowledge for teaching and task unfolding: An exploratory study. The Elementary School Journal, 110(3), 247-278. doi:10.1086/648978
55. Charalambous, C. Y., Hill, H. C., & Ball, D. L. (2011). Prospective teachers' learning to provide instructional explanations: How does it look and what might it take? Journal of Mathematics Teacher Education, 14(6), 441-463. doi:10.1007/s10857-011-9182-z
56. Charalambous, C. Y., Hill, H. C., & Mitchell, R. N. (2012). Two negatives don't always make a positive: Exploring how limitations in teacher knowledge and the curriculum contribute to instructional quality. Journal of Curriculum Studies, 44(4), 489-513. doi:10.1080/00220272.2012.716974
57. Charalambous, C. Y., Komitis, A., Papacharalambous, M., & Stefanou, A. (2014). Using generic and content-specific teaching practices in teacher evaluation: An exploratory study of teachers' perceptions. Teaching and Teacher Education, 41, 22-33. doi:10.1016/j.tate.2014.03.001
58. Charalambous, C. Y., & Pitta-Pantazi, D. (2007). Drawing on a theoretical model to study students' understandings of fractions. Educational Studies in Mathematics, 64(3), 293-316. doi:10.1007/s10649-006-9036-2
59. Chester, M., & Zelman, S. (2009). Approximations of teacher quality and effectiveness: View from the state education agency. In D. H. Gitomer (Ed.), Measurement issues and assessment for teaching quality. (pp. 131-149). Thousand Oaks, CA: Sage.
60. Chevallard, Y. (1999). L'analyse des pratiques enseignantes en théorie anthropologique du didactique. Recherches en Didactique des Mathématiques, 19(2), 221-265.
61. Christou, C., Pitta-Pantazi, D., Souyoul, A., & Zachariades, T. (2005). The embodied, proceptual and formal worlds in the context of functions. Canadian Journal of Science, Mathematics and Technology Education, 5(2), 241-252. doi:10.1080/14926150509556656
62. Chrysostomou, M., Pitta-Pantazi, D., Tsingi, C., Cleanthous, E., & Christou, C. (2013). Examining number sense and algebraic reasoning through cognitive styles. Educational Studies in Mathematics, 83(2), 205-223. doi:10.1007/s10649-012-9448-0
63. Clements, D. H., & Sarama, J. (2007). Effects of a preschool mathematics curriculum: Summative research on the building blocks project. Journal for Research in Mathematics Education, 38(2), 136-163. doi: 10.2307/30034954
64. Clements, D. C., Sarama, J., Spitler, M. A., Lange, A. A., & Wolfe, C. B. (2011). Mathematics learned by young children in an intervention based on learning trajectories: A large-scale cluster randomized trial. Journal for Research in Mathematics Education, 42(2), 127-166.
65. th Congress of European Research in Mathematics Education (pp. 2995-3004). Ankara, Turkey: Middle East Technical University.
66. Cobb, P., & Yackel, E. (1996). Constructivist, emergent, and sociocultural perspectives in the context of developmental research. Educational Psychologist, 31(3-4), 175-190. doi:10.1080/00461520.1996.9653265
67. Cochran-Smith, M. (2003). Teaching quality matters. Journal of Teacher Education, 54(2), 95-98. doi:10.1177/0022487102250283
68. Cohen, D. K. (1990). A revolution in one classroom: The case of Mrs. Oublier. Educational Evaluation and Policy Analysis, 12(3), 311-329. doi:10.3102/01623737012003311
69. Cohen, D. K., Raudenbush, S. W., & Ball, D. L. (2003). Resources, instruction, and research. Educational Evaluation and Policy Analysis, 25(2), 119-142. doi:10.3102/01623737025002119
70. Cole, Y. (2012). Assessing elemental validity: The transfer and use of mathematical knowledge for teaching measures in Ghana. ZDM-The International Journal on Mathematics Education, 44(3), 415-426. doi:10.1007/s11858-012-0380-7
71. Coleman, J. S., Campbell, E. Q., Hobson, C. J., McPartland, J., Mood, A.M., Weinfeld, F. D., & York, R. L. (1966). Equality of educational opportunity. Washington, DC: U.S. Government Printing Office.
72. Copur-Gencturk, Y., & Lubienski, S. T. (2013). Measuring mathematical knowledge for teaching: A longitudinal study using two measures. Journal of Mathematics Teacher Education, 16(3), 211-236. doi:10.1007/s10857-012-9233-0
73. Core Practice Consortium (2014, April). Enriching research and innovation through the specification of professional practice. Paper presented at the annual meeting of the American Educational Research Association, Philadelphia, PA.
74. Correnti, R., & Martínez, J. F. (2012). Conceptual, methodological, and policy issues in the study of teaching: Implications for improving instructional practice at scale. Educational Assessment, 17(2-3), 51-61. doi:10.1080/10627197.2012.717834
75. Cottrill, J., Dubinsky, E., Nichols, D., Schwingendorf, K., Thomas, K., & Vidakovic, D. (1996). Understanding the limit concept: Beginning with a coordinated process scheme. The Journal of Mathematical Behavior, 15(2), 167-192. doi:10.1016/S0732-3123(96)90015-2
76. Creemers, B.P.M. (1994). The effective classroom. London: Cassell.
77. Creemers, B.P.M., & Kyriakides, L. (2008). The dynamics of educational effectiveness: A contribution to policy, practice and theory in contemporary schools. London & New York: Routledge.
78. Creemers, B.P.M., Kyriakides, L., & Sammons, P. (2010). Methodological advances in educational effectiveness research. London & New York: Routledge.
79. Croninger, R. G., Buese, D., & Larson, J. (2012). A mixed-methods look at teaching quality: Challenges and possibilities from one study. Teachers College Record, 114(4), 1-36.
80. Croninger, R. G., Valli, L., & Chambliss, M. J. (2012). Researching quality in teaching: Enduring and emerging challenges. Teachers College Record, 114(4), 1-15.
81. Danielson, C. (2007). Enhancing professional practice: A framework for teaching (2nd ed.). Alexandria, VA: Association for Supervision and Curriculum Development.
82. Davis, R. B., & Maher, C. A. (1990). What do we do when we "do mathematics"? (Monograph). Journal for Research in Mathematics Education, 4, 65-78. doi:10.2307/749913
83. Davis, B., & Renert, M. (2013). Profound understanding of emergent mathematics: Broadening the construct of teachers' disciplinary knowledge. Educational Studies in Mathematics, 82(2), 245-265. doi:10.1007/s10649-012-9424-8
84. Davis, B., & Simmt, E. (2006). Mathematics-for-teaching: An ongoing investigation of the mathematics that teachers (need to) know. Educational Studies in Mathematics, 61(3), 293-319. doi:10.1007/s10649-006-2372-4
85. Dekker, R., Elshout-Mohr, M., & Wood, T. (2006). How children regulate their own collaborative learning. Educational Studies in Mathematics, 62(1), 57-79. doi:10.1007/s10649-006-1688-4
86. Delaney, S., Ball, D. L., Hill, H. C., Schilling, S. G., & Zopf, D. (2008). "Mathematical knowledge for teaching": Adapting US measures for use in Ireland. Journal of Mathematics Teacher Education, 11(3), 171-197. doi:10.1007/s10857-008-9072-1
87. Depaepe, F., Verschaffel, L., & Kelchtermans, G. (2013). Pedagogical content knowledge: A systematic review of the way in which the concept has pervaded mathematics educational research. Teaching and Teacher Education, 34, 12-25. doi:10.1016/j.tate.2013.03.001
88. Ding, M. (2008). Teacher knowledge necessary to address student errors and difficulties about equivalent fractions. In G. Kulm (Ed.), Teacher knowledge and practice in middle grades mathematics (pp. 147-171). Rotterdam, The Netherlands: Sense Publishers.
89. Dominguez, H., LópezLeiva, C. A., & Khisty, L. L. (2014). Relational engagement: Proportional reasoning with bilingual Latino/a students. Educational Studies in Mathematics, 85(1), 143-160. doi:10.1007/s10649-013-9501-7
90. Drijvers, P., & Godino, J. D., Font, V., & Trouche, L. (2013). One episode, two lenses: A reflective analysis of student learning with computer algebra from instrumental and onto-semiotic perspectives. Educational Studies in Mathematics, 82(1), 23-49. doi:10.1007/s10649-012-9416-8
91. Dubinsky, E. (1992). A learning theory approach to calculus. In Z. Karian (Ed.), Symbolic computation in undergraduate mathematics education (MAA Notes No. 24, pp. 48-55). Washington, DC: Mathematical Association of America.
92. Ellis, A. B. (2011). Generalizing-promoting actions: How classroom collaborations can support students' mathematical generalizations. Journal for Research in Mathematics Education, 42(4), 308-345.
93. English, L. D. (2006). Mathematical modeling in the primary school: Children's construction of a consumer guide. Educational Studies in Mathematics, 63(3), 303-323. doi:10.1007/s10649-005-9013-1
94. English, L. D. (2013). Complex modelling in the primary and middle school years: An interdisciplinary approach. In G. A. Stillman, G. Kaiser, W. Blum, & J. P. Brown (Eds.), Teaching mathematical modelling: Connecting to research and practice (Vol. 16, pp. 491-505). Dordrecht: Springer.
95. English, L. D., & Mulligan, J. (Eds.). (2013). Reconceptualizing early mathematics learning. Dordrecht: Springer.
96. rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 147-148). Thessaloniki, Greece: PME.
97. Fauth, B., Decristan, J., Rieser, S., Klieme, E., & Büttner, G. (2014). Student ratings of teaching quality in primary school: Dimensions and prediction of student outcomes. Learning and Instruction, 29, 1-9. doi:10.1016/j.learninstruc.2013.07.001
98. Fennema, E., & Franke, M. L. (1992). Teachers' knowledge and its impact. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics (pp. 147-164). Reston, VA: NCTM.
99. Fenstermacher, G. D., & Richardson, V. (2005). On making determinations of quality in teaching. Teachers College Record, 107(1), 186-213.
100. Fishbein, E. (1993). The theory of figural concepts. Educational Studies in Mathematics, 24(2), 139-162. doi:10.1007/BF01273689
101. Francisco, J. M., & Hähkiöniemi, M. (2012). Students' ways of reasoning about nonlinear functions in guess-my-rule games. International Journal of Science and Mathematics Education, 10(5), 1001-1021. doi:10.1007/s10763-011-9310-3
102. Franke, M. L., Kazemi, E., & Battey, D. (2007). Mathematics teaching and classroom practice. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 225-256). Charlotte, NC: Information Age Publishers.
103. Freudenthal, H. (1968). Why to teach mathematics so as to be useful. Educational Studies in Mathematics, 1(1-2), 3-8. doi:10.1007/BF00426224
104. Gage, N. L. (2009). A conception of teaching. New York: Springer.
105. Gainsburg, J. (2008). Real-world connections in secondary mathematics teaching. Journal of Mathematics Teacher Education, 11(3), 199-219. doi:10.1007/s10857-007-9070-8
106. Gallagher, H. A. (2004). Vaughn elementary's innovative teacher evaluation system: Are teacher evaluation scores related to growth in student achievement? Peabody Journal of Education, 79(4), 79-107. doi:10.1207/s15327930pje7904_5
107. Gil, E., & Ben-Zvi, D. (2011). Explanations and context in the emergence of students' informal inferential reasoning. Mathematical Thinking and Learning, 13(1-2), 87-108. doi:10.1080/10986065.2011.538295
108. Gilleece, L., Cosgrove, J., & Sofroniou, N. (2010). Equity in mathematics and science outcomes: Characteristics associated with high and low achievement on PISA 2006 in Ireland. International Journal of Science and Mathematics Education, 8(3), 475-496. doi:10.1007/s10763-010-9199-2
109. Gilmore, C. K., & Papadatou-Pastou, M. (2009). Patterns of individual differences in conceptual understanding and arithmetical skill: A meta-analysis. Mathematical Thinking and Learning, 11(1-2), 25-40. doi:10.1080/10986060802583923
110. Gitomer, D. H. (2009). Crisp measurement and messy context: A clash of assumptions and metaphors-Synthesis of section III. In D. H. Gitomer (Ed.), Measurement issues and assessment for teaching quality (pp. 223-233). Thousand Oaks, CA: Sage.
111. Glazerman, S., Loeb, S., Goldhaber, D., Staiger, D., Raudenbush, S., & Whitehurst, G. (2010). Evaluating teachers: The important role of value-added (Report No. 6829). Washington, DC: Brown Center on Education Policy, Brookings.
112. Graeber, A., & Tirosh, D. (2008). Pedagogical content knowledge: Useful concept or elusive notion? In P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development (Vol. 1, pp. 117-132). Rotterdam, The Netherlands: Sense Publishers.
113. Griffiths, M. (2013). Intuiting the fundamental theorem of arithmetic. Educational Studies in Mathematics, 82(1), 75-96. doi:10.1007/s10649-012-9410-1
114. Grossman, P. (2008). Responding to our critics: From crisis to opportunity in research on teacher education. Journal of Teacher Education, 59(1), 10-23. doi:10.1177/0022487107310748
115. Grossman, P., Hammerness, K., & McDonald, M. (2009). Redefining teaching, re-imagining teacher education. Teachers and Teaching: Theory and Practice, 15(2), 273-289. doi:10.1080/13540600902875340
116. Grossman, P., & McDonald, M. (2008). Back to the future: Directions for research in teaching and teacher education. American Educational Research Journal, 45(1), 184-205. doi:10.3102/0002831207312906
117. Groth, R. E., & Bergner, J. A. (2006). Preservice elementary teachers' conceptual and procedural knowledge of mean, median, and mode. Mathematical Thinking and Learning, 8(1), 37-63. doi:10.1207/s15327833mtl0801_3
118. Groth, R. E., & Bergner, J. A. (2013). Mapping the structure of knowledge for teaching nominal categorical data analysis. Educational Studies in Mathematics, 83(2), 247-265. doi:10.1007/s10649-012-9452-4
119. Hamre, B. K., Pianta, R. C., Downer, J. T., DeCoster, J., Mashburn, A. J., Jones, Hamagami, A. (2013). Teaching through interactions: Testing a developmental framework of teacher effectiveness in over 4,000 classrooms. The Elementary School Journal, 113(4), 461-487. doi:10.1086/669616
120. Harel, G., & Sowder, L. (1998). Students' proof schemes: Results from an exploratory study. In A. H. Schoenfeld, J. Kaput, & E. Dubinsky (Eds.), Research in collegiate mathematics education (Vol. 3, pp. 234-283). Providence, RI: American Mathematical Society.
121. Harris, D. N. (2009). The policy uses and policy validity of value-added and other teacher quality measures. In D. H. Gitomer (Ed.), Measurement issues and assessment for teaching quality (pp. 99-130). Thousand Oaks, CA: Sage.
122. Harris, D. N. (2011).Value-added measures in education: What every educator needs to know. Cambridge, MA: Harvard Education Press.
123. Hattie, J. (2009). Visible learning. A synthesis of over 800 meta-analyses relating to achievement. London: Routledge.
124. Hemmings, B., Grootenboer, P., & Kay, R. (2011). Predicting mathematics achievement: The influence of prior achievement and attitudes. International Journal of Science and Mathematics Education, 9(3), 691-705. doi:10.1007/s10763-010-9224-5
125. th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 438-444). Kalamazoo, MI: Western Michigan University.
126. Hiebert, J., Gallimore, R., Garnier, H., Givvin, K. B., Hollingsworth, H., Jacobs, J., Stigler, J. (2003). Teaching mathematics in seven countries: Results from the TIMSS 1999 video study. Washington, DC: National Center for Education Statistics.
127. Hiebert, J., & Grouws, D. A. (2007). The effects of classroom mathematics teaching on students' learning. In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 371-404). Charlotte, NC: Information Age Publishers.
128. Hiebert, J., Stigler, J. W., Jacobs, J. K., Givvin, K. B., Garnier, H., Smith, M., Gallimore, R. (2005). Mathematics teaching in the United States today (and tomorrow): Results from the TIMSS 1999 video study. Educational Evaluation and Policy Analysis, 27(2), 111-132. doi:10.3102/01623737027002111
129. Hill, H. C. (2007). Mathematical knowledge of middle school teachers: Implications for the No Child Left Behind policy initiative. Educational Evaluation and Policy Analysis, 29(2), 95-114. doi:10.3102/0162373707301711
130. 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.
131. Hill, H. C., Ball, D. L., Blunk, M., Goffney, I. M., & Rowan, B. (2007). Validating the ecological assumption: The relationship of measure scores to classroom teaching and student learning. Measurement: Interdisciplinary Research and Perspectives, 5(2-3), 107-118. doi:10.1080/15366360701487138
132. 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(4), 372-400.
133. 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(4), 430-511. doi:10.1080/07370000802177235
134. Hill, H. C., & Charalambous, C. Y. (2012). Teaching (un)Connected Mathematics: Two teachers' enactment of the Pizza problem. Journal of Curriculum Studies, 44(4), 467-487. doi:10.1080/00220272.2012.716972
135. Hill, H. C., Charalambous, C. Y., & Kraft, M. A. (2012). When rater reliability is not enough teacher observation systems and a case for the generalizability study. Educational Researcher, 41(2), 56-64. doi:10.3102/0013189X12437203
136. Hill, H. C., & Grossman, P. (2013). Learning from teacher observations: Challenges and opportunities posed by new teacher evaluation systems. Harvard Educational Review, 83(2), 371-384.
137. Hill, H. C., Kapitula, L., & Umland, K. (2011). A validity argument approach to evaluating teacher value-added scores. American Educational Research Journal, 48(3), 794-831. doi:10.3102/0002831210387916
138. Hill, H. C., Rowan, B., & Ball, D. L. (2005). Effects of teachers' mathematical knowledge for teaching on student achievement. American Educational Research Journal 42(2), 371-406. doi:10.3102/00028312042002371
139. Hill, H. C., Schilling, S. G., & Ball, D. L. (2004). Developing measures of teachers' mathematics knowledge for teaching. The Elementary School Journal, 105(1), 11-30. doi:10.1086/428763
140. Hill, H. C., Sleep, L., Lewis, J. M., & Ball, D. L. (2007). Assessing teachers' mathematical knowledge: What knowledge matters and what evidence counts? In F. K. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 111-155). Charlotte, NC: Information Age Publishers.
141. Hill, H. C., Umland, K., Litke, E., & Kapitula, L. R. (2012). Teacher quality and quality teaching: Examining the relationship of a teacher assessment to practice. American Journal of Education, 118(4), 489-519.
142. Hodgen, J. (2011). Knowing and identity: A situated theory of mathematics knowledge in teaching. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 27-42). London, UK: Springer. doi:10.1007/978-90-481-9766-8_3
143. Hollebrands, K. F. (2007). The role of a dynamic software program for geometry in the strategies high school mathematics students employ. Journal for Research in Mathematics Education, 38(2), 164-192.
144. Hollebrands., K., Conner, A., & Smith, R. C. (2010). The nature of arguments provided by college geometry students with access to technology while solving problems. Journal for Research in Mathematics Education, 41(4), 324-350.
145. Huang, R., & Cai, J. (2011). Pedagogical representations to teach linear relations in Chinese and US classrooms: Parallel or hierarchical? The Journal of Mathematical Behavior, 30(2), 149-165. doi:10.1016/j.jmathb.2011.01.003
146. Hugener, I., Pauli, C., Reusser, K., Lipowsky, F., Rakoczy, K., & Klieme, E. (2009). Teaching patterns and learning quality in Swiss and German mathematics lessons. Learning and Instruction, 19(1), 66-78. doi:10.1016/j.learninstruc.2008.02.001
147. Huillet, D. (2009). Mathematics for teaching: An anthropological approach and its use in teacher training. For the Learning of Mathematics, 29(3), 4-10.
148. I˙mre, S. Y., & Akkoç, H. (2012). Investigating the development of prospective mathematics teachers' pedagogical content knowledge of generalising number patterns through school practicum. Journal of Mathematics Teacher Education, 15(3), 207-226. doi:10.1007/s10857-012-9203-6
149. Ing, M., & Webb, N. M. (2012). Characterizing mathematics classroom practice: Impact of observation and coding choices. Educational Measurement: Issues and Practice, 31(1), 14-26. doi:10.1111/j.1745-3992.2011.00224.x
150. Inglis, M., & Alcock, L. (2012). Expert and novice approaches to reading mathematical proofs. Journal for Research in Mathematics Education, 43(4), 358-390.
151. Izsák, A. (2008). Mathematical knowledge for teaching fraction multiplication. Cognition and Instruction, 26(1), 95-143. doi:10.1080/07370000701798529
152. Izsák, A., Tillema, E., & Tunç-Pekkan, Z. (2008). Teaching and learning fraction addition on number lines. Journal for Research in Mathematics Education, 39(1), 33-62. doi:10.2307/30034887
153. Jackson, K., Garrison, A., Wilson, J., Gibbons, L., & Shahan, E. (2013). Exploring relationships between setting up complex tasks and opportunities to learn in concluding whole-class discussions in middle-grades mathematics instruction. Journal for Research in Mathematics Education, 44(4), 646-682.
154. Jencks, C., Smith, M., Acland, H., Bane, M. J., Cohen, D., Gintis, H., Michelson, S. (1972). Inequality: A reassessment of the effects of family and schooling in America. New York: Basic Books.
155. Jurdak, M. E. (2006). Contrasting perspectives and performance of high school students on problem solving in real world situated and school contexts. Educational Studies in Mathematics, 63(3), 283-301. doi:10.1007/s10649-005-9008-y
156. Jurdak, M. E., & El Mouhayar, R. R. (2014). Trends in the development of student level of reasoning in pattern generalization tasks across grade level. Educational Studies in Mathematics, 85(1), 75-92. doi:10.1007/s10649-013-9494-2
157. Kamii, C., & Kysh, J. (2006). The difficulty of "length×width": Is a square the unit of measurement? The Journal of Mathematical Behavior, 25(2), 105-115. doi:10.1016/j.jmathb.2006.02.001
158. Kane, T. J., McCaffrey, D. F., Miller, T., & Staiger, D. O. (2013). Have we identified effective teachers? Validating measures of effective teaching using random assignment. Seattle, WA: Bill & Melinda Gates Foundation. Retrieved from www.metproject.org/reports.php.
159. Kane, T. J., & Staiger, D. O. (2012). Gathering feedback for teaching: Combining high-quality observations with student surveys and achievement gains. Seattle, WA: Bill & Melinda Gates Foundation. Retrieved from www.metproject.org/reports.php.
160. Kane, T. J., Taylor, E. S., Tyler, J. H., & Wooten, A. L. (2011). Identifying effective classroom practices using student achievement data. Journal of Human Resources, 46(3), 587-613. doi:10.3386/w15803
161. Kaput, J. J. (1998). Transforming algebra from an engine of inequity to an engine of mathematical power by "algebrafying" the K-12 curriculum. In S. Fennel (Ed.), The nature and role of algebra in the K-14 curriculum: Proceedings of a National Symposium (pp. 25-26). Washington, DC: National Research Council, National Academy Press.
162. Kennedy, M. M. (2010). Attribution error and the quest for teacher quality. Educational Researcher, 39(8), 591-598. doi:10.3102/0013189X10390804
163. Kersting, N. (2008). Using video clips of mathematics classroom instruction as item prompts to measure teachers' knowledge of teaching mathematics. Educational and Psychological Measurement, 68(5), 845-861. doi:10.1177/0013164407313369
164. Kersting, N. B., Givvin, K. B., Sotelo, F. L., & Stigler, J. W. (2010). Teachers' analyses of classroom video predict student learning of mathematics: Further explorations of a novel measure of teacher knowledge. Journal of Teacher Education, 61(1-2), 172-181. doi:10.1177/0022487109347875
165. Kersting, N. B., Givvin, K. B., Thompson, B. J., Santagata, R., & Stigler, J. W. (2012). Measuring usable knowledge: Teachers' analyses of mathematics classroom videos predict teaching quality and student learning. American Educational Research Journal, 49(3), 568-589. doi:10.3102/0002831212437853
166. th International Congress on Mathematical Education: Selected lectures (pp. 271-290). Seville, Spain: S.A.E.M. Thales.
167. Kilpatrick, J., Swafford, J., & Findell, B. (Eds.). (2001). Adding it up: Helping children learn mathematics. Washington, DC: National Academy Press.
168. Kim, M., Roth, W. M., & Thom, J. (2011). Children's gestures and the embodied knowledge of geometry. International Journal of Science and Mathematics Education, 9(1), 207-238. doi:10.1007/s10763-010-9240-5
169. Kim, Y. R., Park, M. S., Moore, T. J., & Varma, S. (2013). Multiple levels of metacognition and their elicitation through complex problem-solving tasks. The Journal of Mathematical Behavior, 32(3), 377-396. doi:10.1016/j.jmathb.2013.04.002
170. Klieme, E., Pauli, C., & Reusser, K. (2009). The Pythagoras study. In J. Tomás & T. Seidel (Eds.), The power of video studies in investigating teaching and learning in the classroom (pp. 137-160). Münster, Germany: Waxmann.
171. Koellner, K., Jacobs, J., Borko, H., Schneider, C., Pittman, M. E., Eiteljorg, E., Frykholm, J. (2007). The problem-solving cycle: A model to support the development of teachers' professional knowledge. Mathematical Thinking and Learning, 9(3), 273-303. doi:10.1080/10986060701360944
172. Kolovou, A., Van den Heuvel-Panhuizen, M., & Köller, O. (2013). An intervention including an online game to improve grade 6 students' performance in early algebra. Journal for Research in Mathematics Education, 44(3), 510-549.
173. Konstantopoulos, S., & Chung, V. (2011). The persistence of teacher effects in elementary grades. American Educational Research Journal, 48(2), 361-386. doi:10.3102/0002831210382888
174. Koretz, D. (2008). Measuring up: What educational testing really tells us. Cambridge, MA: Harvard University Press.
175. Krauss, S., Baumert, J., & Blum, W. (2008). Secondary mathematics teachers' pedagogical content knowledge and content knowledge: Validation of the COACTIV constructs. ZDM-The International Journal on Mathematics Education, 40(5), 873-892. doi:10.1007/s11858-008-0141-9
176. Krauss, S., Brunner, M., Kunter, M., Baumert, J., Blum, W., Neubrand, M., & Jordan, A. (2008). Pedagogical content knowledge and content knowledge of secondary mathematics teachers. Journal of Educational Psychology, 100(3), 716-725. doi:10.1037/0022-0663.100.3.716
177. Kruteski, V. A. (1976). The psychology of mathematical abilities in school children. Chicago, IL: University of Chicago Press
178. Kunter, M., & Baumert, J. (2006). Who is the expert? Construct and criteria validity of student and teacher ratings of instruction. Learning Environments Research, 9(3), 231-251. doi:10.1007/s10984-006-9015-7
179. Kunter, M., Klusmann, U., Baumert, J., Richter, D., Voss, T., & Hachfeld, A. (2013). Professional competence of teachers: Effects on instructional quality and student development. Journal of Educational Psychology, 105(3), 805-820. doi:10.1037/a0032583
180. Kwon, M., Thames, M. H., & Pang, J. (2012). To change or not to change: Adapting mathematical knowledge for teaching (MKT) measures for use in Korea. ZDM-The International Journal on Mathematics Education, 44(3), 371-385. doi:10.1007/s11858-012-0397-y
181. Kyriakides, L., Christoforou, C., & Charalambous, C. Y. (2013). What matters for student learning outcomes: A meta-analysis of studies exploring factors of effective teaching. Teaching and Teacher Education, 36, 143-152. doi:10.1016/j.tate.2013.07.010
182. Kyriakides, L., & Creemers, B.P.M. (2008). Using a multidimensional approach to measure the impact of classroom level factors upon student achievement: A study testing the validity of the dynamic model. School Effectiveness and School Improvement, 19(2), 183-205. doi:10.1080/09243450802047873
183. Kyriakides, L., Creemers, B., Antoniou, P., & Demetriou, D. (2010). A synthesis of studies searching for school factors: Implications for theory and research. British Educational Research Journal, 36(5), 807-830. doi:10.1080/01411920903165603
184. Lakoff, G., & Nuñez, R. (2000). Where mathematics comes from: How the embodied mind brings mathematics into being. New York: Basic Books.
185. Lamon, S. J. (1999). Teaching fractions and rations for understanding. Mahwah, NJ: Lawrence Erlbaum Associates.
186. Lampert, M. (2010). Learning teaching in, from, and for practice: What do we mean? Journal of Teacher Education, 61(1-2), 21-34. doi:10.1177/0022487109347321
187. Langrall, C. W. (2014). Linking research and practice: Another call to action? Journal for Research in Mathematics Education, 45(2), 154-156.
188. Lannin, J. K., Webb, M., Chval, K., Arbaugh, F., Hicks, S., Taylor, C., & Bruton, R. (2013). The development of beginning mathematics teacher pedagogical content knowledge. Journal of Mathematics Teacher Education, 16(6), 403-426. doi:10.1007/s10857-013-9244-5
189. Lavigne, N. C., Salkind, S. J., & Yan, J. (2008). Exploring college students' mental representations of inferential statistics. The Journal of Mathematical Behavior, 27(1), 11-32. doi:10.1016/j.jmathb.2007.10.003
190. Learning Mathematics for Teaching Project. (2011). Measuring the mathematical quality of instruction. Journal of Mathematics Teacher Education, 14(1), 25-47. doi:10.1007/s10857-010-9140-1
191. Leikin, R. (2013). Evaluating mathematical creativity: The interplay between multiplicity and insight. Psychological Test and Assessment Modeling, 55(4), 385-400.
192. Leikin, R., & Lev, M. (2013). Mathematical creativity in generally gifted and mathematically excelling adolescents: What makes the difference? ZDM-The International Journal on Mathematics Education, 45(2), 183-197. doi:10.1007/s11858-012-0460-8
193. Leikin, R., & Pitta-Pantazi, D. (2013). Creativity and mathematics education: Overview on the state-ofart. ZDM-The International Journal on Mathematics Education, 45(2), 159-166. doi:10.1007/s11858-012-0459-1
194. Lesh, R. (2010). Tools, researchable issues & conjectures for investigating what it means to understand statistics (or other topics) meaningfully. Journal of Mathematical Modelling and Application, 1(2), 16-48.
195. Lesh, R. A., Sriraman, B., & English, L. D. (2014). Theories of learning mathematics. In S. Lerman (Ed.), Encyclopedia of Mathematics Education (pp. 615-623). New York: Springer. doi: 978-94-007-4978-8.
196. Lesh, R., & Zawojewski, J. (2007). Problem-solving and modeling. In F. Lester (Ed.), Second handbook of research on mathematics teaching and learning (pp. 763-804). Reston, VA: NCTM.
197. Levenson, E. (2013). Exploring one student's explanations at different ages: The case of Sharon. Educational Studies in Mathematics, 83(2), 181-203. doi:10.1007/s10649-012-9447-1
198. Levenson, E., Tirosh, D., & Tsamir, P. (2011). Preschool geometry: Theory, research, and practical perspectives. Rotterdam, The Netherlands: Sense Publishers.
199. Lewis, J. M., & Blunk, M. L. (2012). Reading between the lines: Teaching linear algebra. Journal of Curriculum Studies, 44(4), 515-536. doi:10.1080/00220272.2012.716975
200. Lo, J. J., & Luo, F. (2012). Prospective elementary teachers' knowledge of fraction division. Journal of Mathematics Teacher Education, 15(6), 481-500. doi:10.1007/s10857-012-9221-4
201. Luyten, H. (2003). The size of school effects compared to teacher effects: An overview of the research literature. School Effectiveness and School Improvement, 14(1), 31-51. doi:10.1076/sesi.14.1.31.13865
202. Ma, L. (1999). Knowing and teaching elementary mathematics: Teachers' understanding of fundamental mathematics in China and the United States. Mahwah, NJ: Lawrence Erlbaum Associates.
203. Makar, K., Bakker, A., & Ben-Zvi, D. (2011). The reasoning behind informal statistical inference. Mathematical Thinking and Learning, 13(1-2), 152-173. doi:10.1080/10986065.2011.538301
204. Martínez, J. F., Borko, H., Stecher, B., Luskin, R., & Kloser, M. (2012). Measuring classroom assessment practice using instructional artifacts: A validation study of the QAS notebook. Educational Assessment, 17(2-3), 107-131. doi:10.1080/10627197.2012.715513
205. Mashburn, A. J., Meyer, J. P., Allen, J. P., & Pianta, R. C. (2014). The effect of observation length and presentation order on the reliability and validity of an observational measure of teaching quality. Educational and Psychological Measurement, 74(3), 400-422. doi:10.1177/0013164413515882
206. Mason, J. (2008). PCK and beyond. In P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development (Vol. 1, pp. 301-322). Rotterdam, The Netherlands: Sense Publishers.
207. Mayer, D. P. (1999). Measuring instructional practice: Can policymakers trust survey data? Educational Evaluation and Policy Analysis, 21(1), 29-45. doi:10.3102/01623737021001029
208. McCaffrey, D. F., Sass, T. R., Lockwood, J. R., & Mihaly, K. (2009). The intertemporal variability of teacher effect estimates. Education Finance and Policy, 4(4), 572-606. doi:10.1162/edfp.2009.4.4.572
209. McClellan, C., Donoghue, J., & Park, Y. S. (2013, April). Commonality and uniqueness in teaching practice observation. Paper presented at the annual meeting of the National Council of Measurement in Education, San Francisco, CA.
210. McCrory, R., Floden, R., Ferrini-Mundy, J., Reckase, M. D., & Senk, S. L. (2012). Knowledge of Algebra for Teaching: A framework of knowledge and practices. Journal for Research in Mathematics Education, 43(5), 584-615. doi:10.5951/jresematheduc.43.5.0584
211. McDonald, M., Kazemi, E., & Kavanagh, S. S. (2013). Core practices and pedagogies of teacher education a call for a common language and collective activity. Journal of Teacher Education, 64(5), 378-386. doi:10.1177/0022487113493807
212. Mesa, V. (2012). Achievement goal orientation of community college mathematics students and the misalignment of instructors' perceptions. Community College Review, 40(1), 46-74. doi:10.1177/0091552111435663
213. Mewborn, D. S. (2003). Teaching, teachers' knowledge and their professional development. In J. Kilpatrick, W. G. Martin, & D. Schifter (Eds.), A research companion to principles and standards for school mathematics (pp. 45-52). Reston, VA: NCTM.
214. Mills, M. (2014). A framework for example usage in proof presentations. The Journal of Mathematical Behavior, 33, 106-118. doi:10.1016/j.jmathb.2013.11.001
215. Ministry of Education of Singapore. (2013). Primary mathematics teaching and learning syllabus. Singapore: Curriculum Planning and Development Division. Retrieved from www.moe.gov.sg/education/syllabuses/sciences/.
216. Mitchell, R., Charalambous, C. Y., & Hill, H. C. (2014). Examining the task and knowledge demands needed to teach with representations. Journal of Mathematics Teacher Education, 17(1), 37-60. doi:10.1007/s10857-013-9253-4
217. Miyakawa, T., & Winsløw, C. (2013). Developing mathematics teacher knowledge: The paradidactic infrastructure of "open lesson" in Japan. Journal of Mathematics Teacher Education, 16(3), 185-209. doi:10.1007/s10857-013-9236-5
218. Modestou, M., & Gagatsis, A. (2010). Cognitive and metacognitive aspects of proportional reasoning. Mathematical Thinking and Learning, 12(1), 36-53. doi:10.1080/10986060903465822
219. Monk, D. H. (1994). Subject area preparation of secondary mathematics and science teachers and student achievement. Economics of Education Review, 13(2), 125-145. doi:10.1016/0272-7757(94)90003-5
220. Muijs, D., Kyriakides, L., van der Werf, G., Creemers, B., Timperley, H., & Earl, L. (2014). State of the art-Teacher effectiveness and professional learning. School Effectiveness and School Improvement, 25(2), 231-256. doi:10.1080/09243453.2014.885451
221. Muijs, D., & Reynolds, D. (2000). School effectiveness and teacher effectiveness in mathematics: Some preliminary findings from the evaluation of the mathematics enhancement programme (primary). School Effectiveness and School Improvement, 11(3), 273-303. doi:10.1076/0924-3453
222. Muir, T., Beswick, K., & Williamson, J. (2008). "I'm not very good at solving problems": An exploration of students' problem solving behaviours. The Journal of Mathematical Behavior, 27(3), 228-241. doi:10.1016/j.jmathb.2008.04.003
223. Murata, A., Bofferding, L., Pothen, B. E., Taylor, M. W., & Wischnia, S. (2012). Making connections among student learning, content, and teaching: Teacher talk paths in elementary mathematics lesson study. Journal for Research in Mathematics Education, 43(5), 616-650.
224. Murata, A., & Kattubadi, S. (2012). Grade 3 students' mathematization through modeling: Situation models and solution models with multi-digit subtraction problem solving. The Journal of Mathematical Behavior, 31(1), 15-28. doi:10.1016/j.jmathb.2011.07.004
225. Murphy, C. (2012). The role of subject knowledge in primary prospective teachers' approaches to teaching the topic of area. Journal of Mathematics Teacher Education, 15(3), 187-206. doi:10.1007/s10857-011-9194-8
226. Nason, R., Chalmers, C., & Yeh, A. (2012). Facilitating growth in prospective teachers' knowledge: Teaching geometry in primary schools. Journal of Mathematics Teacher Education, 15(3), 227-249. doi:10.1007/s10857-012-9209-0
227. Nathan, M. J., & Kim, S. (2009). Regulation of teacher elicitations in the mathematics classroom. Cognition and Instruction, 27(2), 91-120. doi:10.1080/07370000902797304
228. Neubrand, M. (2009). Two lessons-three views-some comments. In M. Tzekaki, M. Kaldrimidou, & H. Sakonidis (Eds.), Proceedings of the 33rd Conference of the International Group for the Psychology of Mathematics Education (Vol. 1, pp. 149-150). Thessaloniki, Greece: PME.
229. Newton, K. J., Star, J. R., & Lynch, K. (2010). Understanding the development of flexibility in struggling algebra students. Mathematical Thinking and Learning, 12(4), 282-305. doi:10.1080/10986065.2010.482150
230. Newton, X. A., Darling-Hammond, L., Haertel, E., & Thomas, E. (2010). Value-added modeling of teacher effectiveness: An exploration of stability across models and contexts. Education Policy Analysis Archives, 18(23), 1-27. doi:10.14507/epaa.v18n23.2010
231. Ng, D. (2012). Using the MKT measures to reveal Indonesian teachers' mathematical knowledge: Challenges and potentials. ZDM-The International Journal on Mathematics Education, 44(3), 401-413. doi:10.1007/s11858-011-0375-9
232. Ng, D., Mosvold, R., & Fauskanger, J. (2012). Translating and adapting the Mathematical Knowledge for Teaching (MKT) measures: The cases of Indonesia and Norway. Montana Mathematics Enthusiast, 9(1&2), 149-178.
233. Nilssona, P., & Juter, K. (2011). Flexibility and coordination among acts of visualization and analysis in a pattern generalization activity. The Journal of Mathematical Behavior, 30(3), 194-205. doi:10.1016/j.jmathb.2011.07.002
234. Norton, A., McCloskey, A., & Hudson, R. A. (2011). Prediction assessments: Using video-based predictions to assess prospective teachers' knowledge of students' mathematical thinking. Journal of Mathematics Teacher Education, 14(4), 305-325. doi:10.1007/s10857-011-9181-0
235. Norton, A., & Wilkins, J. L. M. (2009). A quantitative analysis of children's splitting operations and fraction schemes. The Journal of Mathematical Behavior, 28(2-3), 150-161. doi:10.1016/j.jmathb.2009.06.002
236. Nuthall, N. (2004). Relating classroom teaching to student learning: A critical analysis of why research has failed to bridge the theory-practice gap. Harvard Educational Review, 74(3), 273-306.
237. Nye, B., Konstantopoulos, S., & Hedges, L. V. (2004). How large are teacher effects? Educational Evaluation and Policy Analysis, 26(3), 237-257. doi:10.3102/01623737026003237
238. Olive, J. (1999). From fractions to rational numbers of arithmetic: A reorganization hypothesis. Mathematical thinking and learning, 1(4), 279-314. doi:10.1207/s15327833mtl0104_2
239. Palardy, G. J., & Rumberger, R. W. (2008). Teacher effectiveness in first grade: The importance of background qualifications, attitudes, and instructional practices for student learning. Educational Evaluation and Policy Analysis, 30(2), 111-140. doi:10.3102/0162373708317680
240. Pantziara, M., & Philippou, G. (2012). Levels of students' "conception" of fractions. Educational Studies in Mathematics, 79(1), 61-83.doi:10.1007/s10649-011-9338-x
241. Papay, J. P. (2011). Different tests, different answers: The stability of teacher value-added estimates across outcome measures. American Educational Research Journal, 48(1), 163-193. doi:10.3102/0002831210362589
242. Papay, J. P. (2012). Refocusing the debate: Assessing the purposes and tools of teacher evaluation. Harvard Educational Review, 82(1), 123-141.
243. Papic, M., Mulligan, J. T., & Mitchelmore, M. C. (2011). Assessing the development of preschoolers' mathematical patterning. Journal for Research in Mathematics Education, 42(3), 237-268.
244. Peltenburg, M., Van den Heuvel-Panhuizen, M., & Robitzsch, A. (2012). Special education students' use of indirect addition in solving subtraction problems up to 100: A proof of the didactical potential of an ignored procedure. Educational Studies in Mathematics, 79(3), 351-369. doi:10.1007/s10649-011-9351-0
245. Pepin, B. (2011). How educational systems and cultures mediate teacher knowledge: 'Listening' in English, French, and German classrooms. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 119-137). London & New York: Springer. doi:10.1007/978-90-481-9766-8_8
246. Petrou, M., & Goulding, M. (2011). Conceptualising teachers' mathematical knowledge in teaching. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 9-25) London & New York: Springer. doi:10.1007/978-90-481-9766-8_2
247. Philipp, R. A., Ambrose, R., Lamb, L. L., Sowder, J. T., Schappelle, B. P., Sowder, L., Chauvot, J.(2007). Effects of early field experiences on the mathematical content knowledge and beliefs of prospective elementary school teachers: An experimental study. Journal for Research in Mathematics Education, 38(5), 438-476. doi:10.2307/30034961
248. Pianta, R. C., Belsky, J., Vandergrift, N., Houts, R., & Morrison, F. J. (2008). Classroom effects on children's achievement trajectories in elementary school. American Educational Research Journal, 45(2), 365-397. doi:10.3102/0002831207308230
249. Pirie, S., & Kieren, T. (1989). A recursive theory of mathematical understanding. For the Learning of Mathematics, 9(3), 7-11.
250. Pitta-Pantazi, D., & Christou, C. (2009). Cognitive styles, dynamic geometry and measurement performance. Educational Studies in Mathematics, 70(1), 5-26. doi:10.1007/s10649-008-9139-z
251. Pitta-Pantazi, D., Christou, C., Kontoyianni, K., & Kattou, M. (2011). A model of mathematical giftedness: Integrating natural, creative and mathematical abilities. Canadian Journal of Science, Mathematics and Technology Education, 11(1), 39-54. doi:10.1080/14926156.2011.548900
252. Polya, D. (1954). Induction and analogy in mathematics. Princeton, NJ: Princeton University Press.
253. Post, T. R., Cramer, K. A., Behr, M., Lesh, R., & Harel, G. (1993). Curriculum implications of research on the learning, teaching, and assessing of rational number concepts. In T. Carpenter, E. Fennema, & T. Romberg (Eds.), Rational numbers: An integration of research (pp. 327-362). Hillsdale, NJ: Erlbaum.
254. Praetorius, A. K., Lenske, G., & Helmke, A. (2012). Observer ratings of instructional quality: Do they fulfill what they promise? Learning and Instruction, 22(6), 387-400. doi:10.1016/j.learninstruc.2012.03.002
255. Praetorius, A. K., Pauli, C., Reusser, K., Rakoczy, K., & Klieme, E. (2014). One lesson is all you need? Stability of instructional quality across lessons. Learning and Instruction, 31, 2-12. doi:10.1016/j.learninstruc.2013.12.002
256. Presmeg, N. C. (1985). The role of visually mediated processes in high school mathematics: A classroom investigation. Unpublished doctoral dissertation, Cambridge University, England.
257. Rivers, J. C., & Sanders, W. L. (2002). Teacher quality and equity in educational opportunity: Findings and policy implications. In L. T. Izumi & W. M. Evers (Eds.), Teacher quality (pp. 13-23). Stanford, CA: Hoover Press.
258. Rockoff, J. E., Jacob, B. A., Kane, T. J., & Staiger, D. O. (2011). Can you recognize an effective teacher when you recruit one? Education Finance and Policy, 6(1), 43-74. doi:10.1162/EDFP_a_00022
259. Rowan, B., & Correnti, R. (2009). Studying reading instruction with teacher logs: Lessons from the Study of Instructional Improvement. Educational Researcher, 38(2), 120-131. doi:10.3102/0013189X09332375
260. Rowan, B., Correnti, R., & Miller, R. (2002). What large-scale survey research tells us about teacher effects on student achievement: Insights from the Prospects Study of Elementary Schools. Teachers College Record, 104(8), 1525-1567.
261. Rowan, B., Harrison, D. M., & Hayes, A. (2004). Using instructional logs to study mathematics curriculum and teaching in the early grades. The Elementary School Journal, 105(1), 103-127. doi:10.1086/428812
262. Rowland, T. (2008a). Researching teachers' mathematics disciplinary knowledge. In P. Sullivan & T. Wood (Eds.), Knowledge and beliefs in mathematics teaching and teaching development (Vol. 1, pp. 273-298). Rotterdam, The Netherlands: Sense Publishers.
263. Rowland, T. (2008b). The purpose, design and use of examples in the teaching of elementary mathematics. Educational Studies in Mathematics, 69(2), 149-163. doi:10.1007/s10649-008-9148-y
264. Rowland, T. (2012). Contrasting knowledge for elementary and secondary mathematics teaching. For the Learning of Mathematics, 32(1), 16-21.
265. Rowland, T., Huckstep, P., & Thwaites, A. (2005). Elementary teachers' mathematics subject knowledge: The knowledge quartet and the case of Naomi. Journal of Mathematics Teacher Education, 8(3), 255-281. doi:10.1007/s10857-005-0853-5
266. Rubel, L. H. (2007). Middle school and high school students' probabilistic reasoning on coin tasks. Journal for Research in Mathematics Education, 38(5), 531-556.
267. Ruthven, K. (2011). Conceptualising mathematical knowledge in teaching. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 83-96). London & New York: Springer. doi:10.1007/978-90-481-9766-8_6
268. Sanders, W. L., & Horn, S. P. (1994). The Tennessee value-added assessment system (TVAAS): Mixed-model methodology in educational assessment. Journal of Personnel Evaluation in Education, 8(3), 299-311.doi:10.1007/BF00973726
269. Sarama, J., & Clements, D. H. (2009). Early childhood mathematics education research: Learning trajectories for young children. New York: Routledge.
270. Sass, T. R. (2008). The stability of value-added measures of teacher quality and implications for teacher compensation policy (Brief No. 4). Washington, DC: National Center for Analysis of Longitudinal Data in Education Research.
271. Sawada, D., Piburn, M. D., Judson, E., Turley, J., Falconer, K., Benford, R., & Bloom, I. (2002). Measuring reform practices in science and mathematics classrooms: The reformed teaching observation protocol. School Science and Mathematics, 102(6), 245-253. doi:10.1111/j.1949-8594.2002.tb17883.x
272. Scheerens, J., & Bosker, R. J. (1997). The foundations of educational effectiveness. Oxford, UK: Pergamon.
273. Schilling, S. G., Blunk, M., & Hill, H. C. (2007). Test validation and the MKT measures: Generalizations and conclusions. Measurement: Interdisciplinary Research and Perspectives, 5(2-3), 118-128. doi:10.1080/15366360701487146
274. Schneider, W., & Artelt, C. (2010). Metacognition and mathematics education. ZDM-The International Journal on Mathematics Education, 42(2), 149-161. doi:10.1007/s11858-010-0240-2.
275. Schoenfeld, A. H. (1992). Learning to think mathematically: Problem solving, metacognition, and sense-making in mathematics. In D. Grouws (Ed.), Handbook for research on mathematics teaching and learning (pp. 334-370). New York: MacMillan.
276. Schorr, R. Y., & Goldin, G. A. (2008). Students' expression of affect in an inner-city SimCalc classroom. Educational Studies in Mathematics, 68(2), 131-148. doi:10.1007/s10649-008-9117-5
277. Seidel, T., & Shavelson, R. J. (2007). Teaching effectiveness research in the past decade: The role of theory and research design in disentangling meta-analysis results. Review of Educational Research, 77(4), 454-499. doi: 10.3102/0034654307310317
278. Sfard, A. (1991). On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin. Educational Studies in Mathematics, 22(1), 1-36. doi:10.1007/BF00302715
279. Sharma, S. V. (2006). High school students interpreting tables and graphs: Implications for research. International Journal of Science and Mathematics Education, 4(2), 241-268. doi:10.1007/s10763-005-9005-8
280. Shavelson, R. J., Webb, N. M., & Burstein, L. (1986). Measurement of teaching. In M. C. Wittrock (Ed.), Handbook of research on teaching (3rd ed., pp. 50-91). New York: MacMillan.
281. Shechtman, N., Haertel, G., Roschelle, J., Knudsen, J., & Singleton, C. (2013). Development of student and teacher assessments in the scaling up SimCalc Project. In S. J. Hegedus & J. Roschelle (Eds.), The SimCalc vision and contributions (pp. 167-181). London & New York: Springer. doi:10.1007/978-94-007-5696-0_10
282. Shechtman, N., Roschelle, J., Haertel, G., & Knudsen, J. (2010). Investigating links from teacher knowledge, to classroom practice, to student learning in the instructional system of the middle-school mathematics classroom. Cognition and Instruction, 28(3), 317-359. doi:10.1080/07370008.2010.487961
283. Shulman, L. S. (1986). Those who understand: Knowledge growth in teaching. Educational Researcher, 15(2), 4-14.
284. Siegler, R. S. (2000). The rebirth of children's learning. Child development, 71(1), 26-35. doi:10.1111/1467-8624.00115
285. Silver, E. A. (1997). Fostering creativity through instruction rich in mathematical problem solving and problem posing. ZDM-The International Journal on Mathematics Education, 29(3), 75-80.doi:10.1007/s11858-997-0003-x
286. Silverman, J., & Thompson, P. W. (2008). Toward a framework for the development of mathematical knowledge for teaching. Journal of Mathematics Teacher Education, 11(6), 499-511. doi:10.1007/s10857-008-9089-5
287. Sleep, L. (2012). The work of steering instruction toward the mathematical point: A decomposition of teaching practice. American Educational Research Journal, 49(5), 935-970. doi:10.3102/0002831212448095
288. Sleep, L., & Eskelson, S. L. (2012). MKT and curriculum materials are only part of the story: Insights from a lesson on fractions. Journal of Curriculum Studies, 44(4), 537-558. doi:10.1080/00220272.2012.716977
289. Sowder, J. T., Philipp, R. A., Armstrong, B. E., & Schappelle, B. P. (1998). Middle-grade teachers' mathematical knowledge and its relationship to instruction: A research monograph. New York: State University of New York Press.
290. Sriraman, B., & English, L. (2010). Theories of mathematics education: Seeking new frontiers. London & New York: Springer.
291. Stecher, B., Le, V. N., Hamilton, L., Ryan, G., Robyn, A., & Lockwood, J. R. (2006). Using structured classroom vignettes to measure instructional practices in mathematics. Educational Evaluation and Policy Analysis, 28(2), 101-130. doi:10.3102/01623737028002101
292. Steele, M. D., Hillen, A. F., & Smith, M. S. (2013). Developing mathematical knowledge for teaching in a methods course: The case of function. Journal of Mathematics Teacher Education, 16(6), 451-482. doi:10.1007/s10857-013-9243-6
293. Steffe, L. P. (2001). A new hypothesis concerning children's fractional knowledge. The Journal of Mathematical Behavior, 20(3), 267-307. doi:10.1016/S0732-3123(02)00075-5
294. Steffe, L. P., Cobb, P., & von Glaserfeld, E. (1988). Construction of arithmetical meanings and strategies. New York: Springer-Verlag.
295. Steffe, L. P., von Glasersfeld, E., Richards, J., & Cobb, P. (1983). Children's counting types: Philosophy, theory, and application. New York: Praeger.
296. Stein, M., & Burchartz, B. (2006). The invisible wall project: Reasoning and problem solving processes of primary and lower secondary students. Mathematical Thinking and Learning, 8(1), 65-90. doi:10.1207/s15327833mtl0801_4
297. Stein, M. K., Engle, R. A., Smith, M. S., & Hughes, E. K. (2008). Orchestrating productive mathematical discussions: Five practices for helping teachers move beyond show and tell. Mathematical Thinking and Learning, 10(4), 313-340. doi:10.1080/10986060802229675
298. Stein, M. K., Smith, M. S., Henningsen, M. A., & Silver, E. A. (2000). Implementing standards-based mathematics instruction: A casebook for professional development (2nd ed.). New York: Teachers College Press.
299. Stigler, J. W., & Hiebert, J. (1999). The teaching gap: Best ideas from the world's teachers for improving education in the classroom. New York: Free Press.
300. Stoyanova, E., & Ellerton, N. F. (1996). A framework for research into students' problem posing. In P. Clarkson (Ed.), Technology in Mathematics Education (pp. 518-525). Melbourne: Mathematics Education Research Group of Australasia.
301. Strong, M., Gargani, J., & Hacifazlioğlu, ö. (2011). Do we know a successful teacher when we see one? Experiments in the identification of effective teachers. Journal of Teacher Education, 62(4), 367-382. doi:10.1177/0022487110390221
302. Stronge, J. H., Ward, T. J., & Grant, L. W. (2011). What makes good teachers good? A cross-case analysis of the connection between teacher effectiveness and student achievement. Journal of Teacher Education, 62(4), 339-355. doi:10.1177/0022487111404241
303. Stylianides, A. J. (2007). Proof and proving in school mathematics. Journal for Research in Mathematics Education, 38(3), 289-321. doi:10.2307/30034869
304. Stylianides, A. J., & Delaney, S. (2011). The cultural dimension of teachers' mathematical knowledge. In T. Rowland & K. Ruthven (Eds.), Mathematical knowledge in teaching (pp. 179-191). London, UK: Springer. doi:10.1007/978-90-481-9766-8_11
305. Stylianides, G. J., & Stylianides, A. J. (2009). Facilitating the transition from empirical arguments to proof. Journal for Research in Mathematics Education, 40(3), 314-352.
306. Sumpter, L. (2013). Themes and interplay of beliefs in mathematical reasoning. International Journal of Science and Mathematics Education, 11(5), 1115-1135. doi:10.1007/s10763-012-9392-6
307. Szilágyi, J., Clements, D. H., & Sarama, J. (2013). Young children's understandings of length measurement: Evaluating a learning trajectory. Journal for Research in Mathematics Education, 44(3), 581-620.
308. Tabach, M., Hershkowitz, R., & Dreyfus, T. (2013). Learning beginning algebra in a computer-intensive environment. ZDM-The International Journal on Mathematics Education, 45(3), 377-391. doi:10.1007/s11858-012-0458-2.
309. Tall, D. (2013). How humans learn to think mathematically: Exploring the three worlds of mathematics. New York: Cambridge University Press.
310. Tall, D., & Vinner, S. (1981). Concept image and concept definition in mathematics with particular reference to limits and continuity. Educational Studies in Mathematics, 12(2), 151-169. doi:10.1007/BF00305619
311. Tanase, M., & Wang, J. (2013). Knowing students as mathematics learners and teaching numbers 10-100: A case study of four 1st grade teachers from Romania. The Journal of Mathematical Behavior, 32(3), 564-576. doi:10.1016/j.jmathb.2013.06.006
312. Tatto, M. T., Schwille, J., Senk, S. L., Bankov, K., Rodriguez, M., Reckase, M., Ingvarson, L., Rowley, G., Peck, R., Reckase, M. (2012). Teacher Education and Development Study in Mathematics (TEDS-M): Policy, practice, and readiness to teach primary and secondary mathematics in 17 countries. Findings from the IEA Study of the mathematics preparation of future teachers. Amsterdam, The Netherlands: IEA.
313. Tchoshanov, M. A. (2011). Relationship between teacher knowledge of concepts and connections, teaching practice, and student achievement in middle grades mathematics. Educational Studies in Mathematics, 76(2), 141-164. doi:10.1007/s10649-010-9269-y
314. Tirosh, D., & Stavy, R. (1999). Intuitive rules: A way to explain and predict students' reasoning. Educational Studies in Mathematics, 38(1-3), 51-66. doi:10.1023/A:1003436313032
315. Tirosh, D., Tsamir, P., Levenson, E., & Tabach, M. (2011). From preschool teachers' professional development to children's knowledge: Comparing sets. Journal of Mathematics Teacher Education, 14(2),113-131. doi:10.1007/s10857-011-9172-1
316. Tirosh, D., Tsamir, P., Levenson, E., Tabach, M., & Barkai, R. (2013). Exploring young children's self-efficacy beliefs related to mathematical and nonmathematical tasks performed in kindergarten: Abused and neglected children and their peers. Educational Studies in Mathematics, 83(2), 309-322. doi:10.1007/s10649-012-9458-y
317. Tomás, J., & Seidel, T. (2009). The power of video studies in investigating teaching and learning in the classroom. Münster, Germany: Waxmann.
318. Toulmin, S. E. (1958). The uses of argument. Cambridge: Cambridge University Press.
319. Tsamir, P., Tirosh, D., Levenson, E., Tabach, M., & Barkai, R. (2014). Developing preschool teachers' knowledge of students' number conceptions. Journal of Mathematics Teacher Education, 17(1) 61-83. doi:10.1007/s10857-013-9260-5
320. Turner, F. (2012). Using the Knowledge Quartet to develop mathematics content knowledge: The role of reflection on professional development. Research in Mathematics Education, 14(3), 253-271. doi: 10.1080/14794802.2012.734972
321. Van den Heuvel-Panhuizen, M., Kolovou, A., & Robitzsch, A. (2013). Primary school students' strategies in early algebra problem solving supported by an online game. Educational Studies in Mathematics, 84(3), 281-307. doi:10.1007/s10649-013-9483-5
322. Van Harpen, X. Y., & Presmeg, N. C. (2013). An investigation of relationships between students' mathematical problem-posing abilities and their mathematical content knowledge. Educational Studies in Mathematics, 83(1), 117-132. doi:10.1007/s10649-012-9456-0
323. Van Hiele, P.M. (1985). The child's thought and geometry. In D. Fuys, D. Geddes, & R. Tischer (Eds.), English translation of selected writings of Dina van Hiele-Geldof and Pierre M. van Hiele (pp. 243-252). Brooklyn, NY: Brooklyn College.
324. Vergnaud, G. (1990). La théorie des champs conceptuels. Recherches en Didactique des Mathématiques, 10(2-3), 133-170.
325. Vergnaud, G. (2009). The theory of conceptual fields. Human development, 52(2), 83-94. doi:10.1159/000202727
326. Verzosa, D. B., & Mulligan, J. (2013). Learning to solve addition and subtraction word problems in English as an imported language. Educational Studies in Mathematics, 82(2), 223-244. doi:10.1007/s10649-012-9420-z
327. Wagner, J. F., Speer, N. M., & Rossa, B. (2007). Beyond mathematical content knowledge: A mathematician's knowledge needed for teaching an inquiry-oriented differential equations course. The Journal of Mathematical Behavior, 26(3), 247-266. doi:10.1016/j.jmathb.2007.09.002
328. Walkowiak, T. A., Berry, R. Q., Meyer, J. P., Rimm-Kaufman, S. E., & Ottmar, E. R. (2014). Introducing an observational measure of standards-based mathematics teaching practices: Evidence of validity and score reliability. Educational Studies in Mathematics, 85(1), 109-128. doi:10.1007/s10649-013-9499-x
329. Watson, J. M. (2007). The role of cognitive conflict in developing students' understanding of average. Educational Studies in Mathematics, 65(1), 21-47. doi:10.1007/s10649-006-9043-3
330. Wilkins, J.L.M., & Norton, A. (2011). The splitting loope. Journal for Research in Mathematics Education, 42(4), 386-416.
331. Wilson, S. M. (1990). A conflict of interests: The case of Mark Black. Educational Evaluation and Policy Analysis, 12(3), 293-310.
332. Wood, T., Williams, G., & McNeal, B. (2006). Children's mathematical thinking in different classroom cultures. Journal for Research in Mathematics Education, 37(3), 222-255.
333. Yakes, C., & Star, J. R. (2011). Using comparison to develop flexibility for teaching algebra. Journal of Mathematics Teacher Education, 14(3), 175-191. doi:10.1007/s10857-009-9131-2
334. Yang, K. L. (2012). Structures of cognitive and metacognitive reading strategy use for reading comprehension of geometry proof. Educational Studies in Mathematics, 80(3), 307-326. doi:10.1007/s10649-011-9350-1
335. Yanik, H. B. (2011). Prospective middle school mathematics teachers' preconceptions of geometric translations. Educational Studies in Mathematics, 78(2), 231-260. doi:10.1007/s10649-011-9324-3
336. Yerushalmy, M. (2006). Slower algebra students meet faster tools: Solving algebra word problems with graphing software. Journal for Research in Mathematics Education, 37(5), 356-387.
337. Zachariades, T., Christou, C., & Pitta-Pantazi, D. (2013). Reflective, systemic and analytic thinking in real numbers. Educational Studies in Mathematics, 82(1), 5-22. doi:10.1007/s10649-012-9413-y
338. Zazkis, R., & Chernoff, E. J. (2008). What makes a counterexample exemplary? Educational Studies in Mathematics, 68(3), 195-208. doi:10.1007/s10649-007-9110-4
339. Zazkis, R., & Zazkis, D. (2011). The significance of mathematical knowledge in teaching elementary methods courses: Perspectives of mathematics teacher educators. Educational Studies in Mathematics, 76(3), 247-263. doi:10.1007/s10649-010-9268-z
340. Zodik, I., & Zaslavsky, O. (2008). Characteristics of teachers' choice of examples in and for the mathematics classroom. Educational Studies in Mathematics, 69(2), 165-182. doi:10.1007/s10649-008-9140-6
341. Zurina, H., & Williams, J. (2011). Gesturing for oneself. Educational Studies in Mathematics, 77(2-3), 175-188. doi:10.1007/s10649-010-9294-x