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Articles

Enrichment in school principals’ ways of seeing mathematics

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Pages 1508-1539 | Received 25 Nov 2019, Published online: 29 Jun 2020

References

  • Abazaoglu, I., & Aztekin, S. (2016). The role of teacher morale and motivation on students’ science and math achievement: Findings from Singapore, Japan, Finland and Turkey. Universal Journal of Educational Research, 4(11), 2606–2617. https://doi.org/10.13189/ujer.2016.041114
  • Al-Murani, T., Kilhamn, C., Morgan, D., & Watson, A. (2019). Opportunities for learning: The use of variation to analyse examples of a paradigm shift in teaching primary mathematics in England. Research in Mathematics Education, 21(1), 6–24. https://doi.org/10.1080/14794802.2018.1511460
  • Anderson, D. S., & Piazza, J. A. (1996). Changing beliefs: Teaching and learning mathematics in constructivist preservice classrooms. Action in Teacher Education, 18(2), 51–62. https://doi.org/10.1080/01626620.1996.10462833
  • Ausubel, D. P. (1968). Educational psychology: A cognitive view. Holt, Rinehart & Winston.
  • Baillie, C., Emanuelsson, J., & Marton, F. (2001). Building knowledge about the interface. Composites Part A: Applied Science and Manufacturing, 32(3–4), 305–312. https://doi.org/10.1016/S1359-835X(00)00111-1
  • Balsiger, P., & Lambelet, A. (2014). Participant observation. In D. della Porta (Ed.), Methodological practices in social movement research (pp. 144–172). Oxford University Press.
  • Bicknell, B., & Hunter, R. (2009). Explorations of year 6 to year 7 transition in numeracy. In Ministry of Education (Ed.), Findings from the New Zealand numeracy development projects (pp. 98–109). Learning Media Limited.
  • Bleiler, S. K. (2015). Increasing awareness of practice through interaction across communities: The lived experiences of a mathematician and mathematics teacher educator. Journal of Mathematics Teacher Education, 18(3), 231–252. https://doi.org/10.1007/s10857-014-9275-6
  • Boberg, J. E., & Bourgeois, S. J. (2016). The effects of integrated transformational leadership on achievement. Journal of Educational Administration, 54(3), 357–374. https://doi.org/10.1108/JEA-07-2014-0086
  • Boston, M. D., Henrick, E. C., Gibbons, L. K., Berebitsky, D., & Colby, G. T. (2017). Investigating how to support principals as instructional leaders in mathematics. Journal of Research on Leadership Education, 12(3), 183–214. https://doi.org/10.1177/1942775116640254
  • Bowen, G. A. (2009). Document analysis as a qualitative research method. Qualitative Research Journal, 9(2), 27–40. https://doi.org/10.3316/QRJ0902027
  • Brez, C. C., & Allen, J. J. (2016). Adults’ views on mathematics education: A Midwest sample. European Journal of Science and Mathematics Education, 4(2), 155–160.
  • Brown, C., & Smith, M. (1997). Supporting the development of mathematics pedagogy. Mathematics Teacher, 90(2), 138–143.
  • Burrill, G. (2014). Preparing future teachers to teach statistics. In K. Makar, B. de Sousa, & R. Gould (Eds.), Sustainability in statistics education: Proceedings of the ninth international conference on teaching statistics (ICOTS9, July 2014). International Statistical Institute.
  • Burrill, G., & Biehler, R. (2011). Fundamental statistical ideas in the school curriculum and in training teachers. In C. Batanero, G. Burrill, & C. Reading (Eds.), Teaching statistics in school mathematics—challenges for teaching and teacher education – A joint ICMI/IASE Study: The 18th ICMI study (pp. 57–69). Springer.
  • Campbell, P. F., & White, D. (1997). Project IMPACT: Influencing and supporting teacher change in predominantly minority schools. In E. Fennema & B. Nelson (Eds.), Mathematics teachers in transition (pp. 309–355). Lawrence Erlbaum Associates.
  • Cassel, D., & Vincent, D. (2011). Metaphors reveal preservice elementary teachers’ views of mathematics and science teaching. School Science and Mathematics, 111(7), 319–324. https://doi.org/10.1111/j.1949-8594.2011.00094.x
  • Cerrato, E. (2019). Illuminating changes in preservice teachers’ perceptions about teaching elementary mathematics in an introductory methods course (Order No. 13858111). Available from ProQuest Dissertations & Theses Global. (2240090025). http://matematikdidaktik.org/wp-content/uploads/2019/01/Madif11_webb-002.pdf
  • Chiang, H., Lipscomb, S., & Gill, B. (2016). Is school value-added indicative of principal quality? Education Finance and Policy, 11(3), 283–309. https://doi.org/10.1162/EDFP_a_00184
  • Cobb, P., & Jackson, K. (2011). Towards an empirically grounded theory of action for improving the quality of mathematics teaching at scale. Mathematics Teacher Education and Development, 13(1), 6–33.
  • Cobb, P., Jackson, K., Henrick, E., & Smith, T. M. (2018). Systems for instructional improvement: Creating coherence from the classroom to the district office. Harvard Education Press.
  • Cotton, K. (2003). Principals and student achievement: What the research says. Association for Supervision & Curriculum Development (ASCD).
  • Darling-Hammond, L., LaPointe, M., Meyerson, D., & Orr, M. T. (2009). Preparing principals for a changing world: Lessons from effective school leadership programs. Jossey-Bass.
  • Darragh, L. (2018). Loving and loathing: Portrayals of school mathematics in young adult fiction. Journal for Research in Mathematics Education, 49(2), 178–209. https://doi.org/10.5951/jresematheduc.49.2.0178
  • Dempster, N. (2001). The professional development of school principals: A fine balance. Professorial Lecture, Griffith University Public Lecture Series Griffith University, Brisbane, May 24.
  • Donaldson, M. L., & Papay, J. P. (2014). Teacher evaluation reform: Policy lessons for school principals. Principal’s Research Review, 9(5), 1–8. National Association of Secondary School Principals.
  • Eisner, E. (1991). The enlightened eye. Qualitative inquiry and the enhancement of educational practice. McMillan.
  • Emanuelsson, J. (2001). En fråga om frågor. Hur lärares frågor i klassrummet gör det möjligt att få reda på elevernas sätt att förstå det som undervisningen behandlar i matematik och naturvetenskap. Acta Universitatis Gothoburgensis [A question about questions. How teachers' questioning makes it possible to learn about the students' ways of understanding the content taught in mathematics and science; in Swedish with summary in English]. Göteborg Studies in Educational Sciences 168.
  • Emanuelsson, J., & Sahlström, F. (2008). The price of participation: Teacher control versus student participation in classroom interaction. Scandinavian Journal of Educational Research, 52(2), 205–223. https://doi.org/10.1080/00313830801915853
  • Ernest, P. (1989). The impact of beliefs on the teaching of mathematics. In P. Ernest (Ed.), Mathematics teaching: The state of the art (pp. 249–254). Falmer Press.
  • Ernest, P. (1996). Popularisation: Myths, mass media and modernism. In A. J. Bishop (Ed.), International handbook of mathematics education (pp. 785–817). Kluwer Academic Publishers.
  • Forgasz, H. J., Leder, G. C., & Tan, H. (2014). Public views on the gendering of mathematics and related careers: International comparisons. Educational Studies in Mathematics, 87(3), 369–388. https://doi.org/10.1007/s10649-014-9550-6
  • Fox, A. (2018). Becoming an instructional leader for elementary mathematics: Transforming principal learning through a research-practice partnership [Doctoral dissertation, University of Washington]. University of Washington Digital Library. https://digital.lib.washington.edu/researchworks/handle/1773/42089
  • Fülöp, É. (2019). Learning to solve problems that you have not learned to solve: Strategies in mathematical problem solving. Doctoral Theses from University of Gothenburg.
  • Gill, M. G., Ashton, P. T., & Algina, J. (2004). Changing preservice teachers’ epistemological beliefs about teaching and learning in mathematics: An intervention study. Contemporary Educational Psychology, 29(2), 164–185. https://doi.org/10.1016/j.cedpsych.2004.01.003
  • Gokçe, F. (2009). Behaviour of Turkish elementary school principals in the change process: An analysis of the perceptions of both teachers and school principals. Educational Management Administration and Leadership, 37(2), 198–215. https://doi.org/10.1177/1741143208100298
  • Goldin, G., Rösken, B., & Törner, G. (2009). Beliefs—No longer a hidden variable in mathematical and learning processes. In W. Schlöglmann & J. Maasz (Eds.), Beliefs and attitudes in mathematics education: New research results (pp. 1–18). Sense Publishers.
  • Grissom, J. A., Kalogrides, D., & Loeb, S. (2015). Using student test scores to measure principal performance. Educational Evaluation and Policy Analysis, 37(1), 3–28. https://doi.org/10.3102/0162373714523831
  • Hallinger, P., & Heck, R. H. (1998). Exploring the principal’s contribution to school effectiveness: 1980–1995. School Effectiveness and School Improvement, 9(2), 157–191. https://doi.org/10.1080/0924345980090203
  • Hattie, J. (2009). Visible learning: A synthesis of over 800 meta-analyses relating to achievement. Routledge.
  • Hattie, J. (2015). High-impact leadership. Educational Leadership, 72(5), 36–40.
  • Herbel-Eisenmann, B., Sinclair, N., Chval, K. B., Clements, D. H., Civil, M., Pape, S. J., Stephan, M., Wanko, J. J., & Wilkerson, T. L. (2016). Positioning mathematics education researchers to influence storylines. Journal for Research in Mathematics Education, 47(2), 102–117. https://doi.org/10.5951/jresematheduc.47.2.0102
  • Hermans, C., & Schoeman, W. G. (2015). Practice-oriented research in service of designing interventions. Acta Theologica, 22(3), 26–44. https://doi.org/10.4314/actat.v21i1.4S
  • 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). Information Age.
  • Hiebert, J., & Lefevre, P. (1986). Conceptual and procedural knowledge in mathematics: An introductory analysis. In J. Hiebert (Ed.), Conceptual and procedural knowledge: The case of mathematics (pp. 1–27). Erlbaum.
  • Hochbein, C., & Cunningham, B. C. (2013). An exploratory analysis of the longitudinal impact of principal change on elementary school achievement. Journal of School Leadership, 23(1), 64–90. https://doi.org/10.1177/105268461302300103
  • Holmqvist Olander, M., & Nyberg, E. (2014). Learning study guided by variation theory: Exemplified by children learning to halve and double whole numbers. Journal of Research in Childhood Education, 28(2), 238–260. https://doi.org/10.1080/02568543.2014.884030
  • Huang, R., & Li, Y. (Eds.). (2017). Teaching and learning mathematics through variation: Confucian heritage meets Western theories. Sense Publishers.
  • Hussin, S., & Al Abri, S. (2015). Professional development needs of school principals in the context of educational reform. International Journal of Educational Administration and Policy Studies, 7(4), 90–97. https://doi.org/10.5897/IJEAPS2015.0391
  • Innabi, H. (2006). The perceptions of UAE principals regarding the new vision of teaching mathematics. Studies in Curriculum and Instruction, 113, 61–84.
  • Innabi, H. (2009, September 11–17). A model to develop mathematics education: Modify the public traditional perceptions of mathematics-case of UAE schools' principals. In L. Paditz & A. Rogerson (Eds.), Proceedings of the tenth international conference on Models in Developing Mathematics Education, Dresden, Saxony, Germany (pp. 262–266).
  • Innabi, H., & El Sheikh, O. (2007). The change in mathematics teachers' perceptions of critical thinking after 15 years of educational reform in Jordan. Educational Studies in Mathematics, 64(1), 45–68. https://doi.org/10.1007/s10649-005-9017-x
  • Johnson, J. (2013). The human factor. Educational Leadership, 70(7), 16–21.
  • Kelleher, J. (2003). A model for assessment-driven professional development. Phi Delta Kappan, 84(10), 751–756. https://doi.org/10.1177/003172170308401008
  • Koffka, K. (1935/1963). Principles of gestalt psychology. Harcourt, Brace & World.
  • Kuhn, T. (1970). The structure of scientific revolutions (2nd ed., enlarged). University of Chicago Press.
  • Kullberg, A., Björklund, C., Brkovic, I., & Runesson Kempe, U. (2020). Effects of learning addition and subtraction in preschool by making the first ten numbers and their relations visible with finger patterns. Educational Studies in Mathematics, 103(2), 157–172. https://doi.org/10.1007/s10649-019-09927-1
  • Kullberg, A., Mårtensson, P., & Runesson, U. (2016). What is to be learned? Teachers’ collective inquiry into the object of learning. Scandinavian Journal of Educational Research, 60(3), 309–322. https://doi.org/10.1080/00313831.2015.1119725
  • Kullberg, A., Runesson Kempe, U., & Marton, F. (2017). What is made possible to learn when using the variation theory of learning in teaching mathematics? ZDM Mathematics Education, 49(4), 559–569. https://doi.org/10.1007/s11858-017-0858-4
  • Kullberg, A., & Skodras, C. (2018). Systematic variation in examples in mathematics teaching. In C. Osbeck, A. Ingerman, & S. Claesson (Eds.), Didactic classroom studies: A potential research direction (pp. 47–67). Nordic Akademic Press, Kapitel.
  • Kutaka, T. S., Ren, L., Smith, W. M., Beattie, H. L., Edwards, C. P., Green, J. L., Chernyavskiy, P., Stroup, W., Heaton, R. M., & Lewis, W. J. (2018). Examining change in K-3 teachers’ mathematical knowledge, attitudes, and beliefs: The case of primarily math. Journal of Mathematics Teacher Education, 21(2), 147–177. https://doi.org/10.1007/s10857-016-9355-x
  • Lambersky, J. (2016). Understanding the human side of school leadership: Principals’ impact on teachers’ morale, self-efficacy, stress, and commitment. Leadership and Policy in Schools, 15(4), 379–405. https://doi.org/10.1080/15700763.2016.1181188
  • Lamichhane, K. (2016). Individuals with visual impairments teaching in Nepal’s mainstream schools: A model for inclusion. International Journal of Inclusive Education, 20(1), 16–31. https://doi.org/10.1080/13603116.2015.1073374
  • Latterell, C. M., & Wilson, J. L. (2012). Students’ perceptions of what mathematicians do. The Mathematics Educator, 13(2), 73–84. https://doi.org/10.5901/mjss.2014.v5n3p431
  • Latterell, C. M., & Wilson, J. L. (2016). Math is like a lion hunting a sleeping gazelle: Preservice elementary teachers’ metaphors of mathematics. European Journal of Science and Mathematics Education, 4(3), 283–292.
  • Lee, A. N., & Nie, Y. (2017). Teachers’ perceptions of school leaders’ empowering behaviours and psychological empowerment: Evidence from a Singapore sample. Educational Management Administration & Leadership, 45(2), 260–283. https://doi.org/10.1177/1741143215578448
  • Lester, F. K. Jr. (2013). Thoughts about research on mathematical problem-solving instruction. The Mathematics Enthusiast, 10(1), 244–278.
  • Lester, J. B., & Grant, C. M. (2001). Mathematics supervision through a new lens. Educational Leadership, 58(5), 60–63.
  • Liljedahl, P. (2011). The theory of conceptual change as a theory for changing conceptions. Nordisk Matematikkdidaktikk, 16(1–2), 101–124.
  • Lim, C. S. (1999). Public images of mathematics [Unpublished doctoral dissertation]. University of Exeter.
  • Lim, C. S., & Ernest, P. (2000). A survey of public images of mathematics. Research in Mathematics Education Journal, 2(1), 193–206. https://doi.org/10.1080/14794800008520076
  • Lo, M. L. (2012). Variation theory and the improvement of teaching and learning. Göteborgs Universitet, Acta Universitatis Gothoburgensis, Göteborg.
  • Mangin, M. M. (2007). Facilitating elementary principals’ support for instructional teacher leadership. Educational Administration Quarterly, 43(3), 319–357. https://doi.org/10.1177/0013161X07299438
  • Markovits, Z., & Forgasz, H. (2017). Mathematics is like a lion’: Elementary students beliefs about mathematics. Educational Studies in Mathematics, 96(1), 49–64. https://doi.org/10.1007/s10649-017-9759-2
  • Marton, F. (2006). Sameness and difference in transfer. Journal of the Learning Sciences, 15(4), 499–535. https://doi.org/10.1207/s15327809jls1504_3
  • Marton, F. (2015). Necessary conditions of learning. Routledge.
  • Marton, F., & Booth, S. (1997). Learning and awareness. Lawrence Erlbaum Associates.
  • Marton, F., & Häggström, J. (2017). Teaching through variation: A European perspective. In R. Huang & Y. Li (Eds.), Teaching and learning mathematics through variation: Confucian heritage meets western theories (pp. 389–406). Sense Publishers.
  • Marton, F., & Pang, M. F. (2006). On some necessary conditions of learning. Journal of the Learning Sciences, 15(2), 193–220. https://doi.org/10.1207/s15327809jls1502_2
  • Marton, F., & Tsui, A. (2004). Classroom discourse and the space of learning. Lawrence Erlbaum.
  • McCullough, M., Lipscomb, S., Chiang, H., & Gill, B. (2016). Do principals’ professional practice ratings reflect their contributions to student achievement? Evidence from Pennsylvania’s framework for leadership (Working Paper 46). Mathematical Policy Research, Inc., Cambridge.
  • McDuffie, A. R., & Graeber, A. O. (2003). Institutional norms and policies that influence college mathematics professors in the process of changing to reform-based practices. School Science and Mathematics, 103(7), 331–344. https://doi.org/10.1111/j.1949-8594.2003.tb18210.x
  • Meyers, C., Molefe, A., Brandt, W. C., Zhou, B., & Dhillon, S. (2016). Impact results of the eMINTS professional development validation study. Educational Evaluation and Policy Analysis, 38(3), 455–476. https://doi.org/10.3102/0162373716638446
  • Nadelson, L. S., Pluska, H., Moorcroft, S., Jeffrey, A., & Woodard, S. (2014). Educators’ perceptions and knowledge of the common core state standards. Issues in Teacher Education, 22(2), 47–66.
  • Nanna, R. J. (2016). Public conceptions of algorithms and representations in the common core state standards for mathematics. The Mathematics Educator, 25(Special Issue), 29–51.
  • National Association of Elementary Schools Principals (NAESP). (2002). What principals need to know about teaching math.
  • National Council of Teachers of Mathematics (NCTM). (2000). Principles and standards for school mathematics.
  • National Council of Teachers of Mathematics (NCTM). (2014). Principles to action: Ensuring mathematical success for all.
  • National Governors’ Association (NGA) Center for Best Practices & Council of Chief State School. (2010). Common core state standards.
  • NCTM Research Committee. (2018). Asset-based approaches to equitable mathematics education research and practice. Journal for Research in Mathematics Education, 49(4), 373–389. https://doi.org/10.5951/jresematheduc.49.4.0373
  • Nelson, B. S., & Sassi, A. (2005). The effective principal: Instructional readership for high quality learning. Teachers College Press.
  • Nelson, B. S., Stimson, V. C., & Jordan, W. J. (2007). Leadership content knowledge for mathematics of staff engaged in key school leadership functions [Paper presentation]. University Council of Education Administration Annual Meeting, Washington, DC, USA.
  • Nisbet, S., & Warren, E. (2000). Primary school teachers’ beliefs relating to mathematics, teaching and assessing mathematics and factors that influence these beliefs. Mathematics Teacher Education and Development, 2, 34–47.
  • Ontario Principals’ Council. (2009). The principal as mathematics leader series: Leading student achievement series. SAGE Publishing, Corwin.
  • Oster, E., Graudgenett, N., McGlamery, S., & Topp, N. (1999). How to avoid common problems and misunderstandings of the NCTM standards. Education, 120(2), 397–400.
  • Pang, M. F. (2019). Enhancing the generative learning of young people in the domain of financial literacy through learning study. International Journal for Lesson and Learning Studies, 8(3), 170–182. https://doi.org/10.1108/IJLLS-09-2018-0065
  • Pang, M. F., & Ling, L. (2012). Learning study: Helping teachers to use theory, develop professionally and produce new knowledge to be shared. Instructional Science: An International Journal of the Learning Sciences, 40(3), 589–606. https://doi.org/10.1007/s11251-011-9191-4
  • Pelfrey, R. (2006). Mathematics program improvement review: A comprehensive evaluation process for K-12 schools. Association for Supervision and Curriculum Development (ASCD).
  • Perry, R. R., Finkelstein, N. D., Seago, N., Heredia, A., Sobolew-Shubin, S., & Carroll, C. (2015). Taking stock of common core math implementation: Supporting teachers to shift instruction: Insights from the math in common 2015 baseline survey of teachers and administrators. WestEd.
  • Peterson, I. (1996). Search for new mathematics. The Mathematics Forum. http://forum.swarthmore.edu/social/articles/ivars.html
  • Peterson, K. (2002). The professional development of principals: Innovations and opportunities. Educational Administration Quarterly, 38(2), 213–232. https://doi.org/10.1177/0013161X02382006
  • Powell, D. R., Son, S. H., File, N., & Froiland, J. M. (2012). Changes in parent involvement across the transition from public school prekindergarten to first grade and children’s academic outcomes. The Elementary School Journal, 113(2), 276–300. https://doi.org/10.1086/667726
  • Proffitt-White, R. (2017). Putting teachers first: Leading change through design—Initiating and sustaining effective teaching of mathematics. Australian Mathematics Teacher, 73(1), 14–22.
  • Quinn, D. M. (2002). The impact of principal leadership behaviors on instructional practice and student engagement. Journal of Educational Administration, 40(5), 447–467. https://doi.org/10.1108/09578230210440294
  • Reed, K. E., Goldsmith, L. T., & Nelson, B. S. (2006). Elementary and middle school teachers’ perceptions of their principals’ instructional leadership in mathematics: Preliminary results [Paper presentation]. Research Pre-Session of the Annual Meeting of the National Council of Teachers of Mathematics, St. Louis, MO, USA.
  • Reeder, S., Utley, J., & Cassel, D. (2009). Using metaphors as a tool for examining preservice elementary teachers’ beliefs about mathematics teaching and learning. School Science and Mathematics, 109(5), 290–297. https://doi.org/10.1111/j.1949-8594.2009.tb18093.x
  • Rigby, J. G., Larbi-Cherif, A., Rosenquist, B. A., Sharpe, C. J., Cobb, P., & Smith, T. (2017). Administrator observation and feedback: Does it lead toward improvement in inquiry-oriented math instruction? Educational Administration Quarterly, 53(3), 475–516. https://doi.org/10.1177/0013161X16687006
  • Robinson, V. M. J., Lloyd, C. A., & Rowe, K. J. (2008). The impact of leadership on student outcomes: An analysis of the differential effects of leadership types. Educational Administration Quarterly, 44(5), 635–674. https://doi.org/10.1177/0013161X08321509
  • Runesson, U. (1999, August 24–28). Teaching as constituting a space of variation [Paper presentation]. 8th EARLI conference, Göteborg, Sweden.
  • Ryve, A., Larsson, M., & Nilsson, P. (2013). Analyzing content and participation in classroom discourse: Dimensions of variation, mediating tools, and conceptual accountability. Scandinavian Journal of Educational Research, 57(1), 101–114. https://doi.org/10.1080/00313831.2011.628689
  • Schifter, D., Russell, S. J., & Bastable, V. (1999). Teaching to the big ideas. In M. Z. Solomon (Ed.), The diagnostic teacher: Constructing new approaches to professional development (pp. 114–201). Teachers College Press.
  • Seaman, C. E., Szydlik, J. E., Szydlik, S. D., & Beam, J. E. (2005). A comparison of preservice elementary teachers’ beliefs about mathematics and teaching mathematics: 1968 and 1998. School Science and Mathematics, 105(4), 197–210. https://doi.org/10.1111/j.1949-8594.2005.tb18158.x
  • Sheffield, L. J. (2017). Dangerous myths about ‘gifted’ mathematics students. ZDM: The International Journal on Mathematics Education, 49(1), 13–23. https://doi.org/10.1007/s11858-016-0814-8
  • Skemp, R. (1976). Relational understanding and instrumental understanding. Mathematics Teaching, 77, 20–26.
  • Sparks, D. (2002). Designing powerful professional development for teachers and principals. National Staff Development Council.
  • Stein, M. K., & Spillane, J. (2005). What can researchers on educational leadership learn from research on teaching? Building a bridge. In W. A. Firestone & C. Riehl (Eds.), A new agenda for research in educational leadership (pp. 28–45). New York, NY: Teachers College Press.
  • Stephan, M. L., Chval, K. B., Wanko, J. J., Civil, M., Fish, M. C., Herbel-Eisenmann, B., Konold, C., & Wilkerson, T. L. (2015). Grand challenges and opportunities in mathematics education research. Journal for Research in Mathematics Education, 46(2), 134–146. https://doi.org/10.5951/jresematheduc.46.2.0134
  • Sterenberg, G. (2008). Investigating teachers’ images of mathematics. Journal of Mathematics Teacher Education, 11(2), 89–105. https://doi.org/10.1007/s10857-007-9062-8
  • Stronge, J. H., Richard, H. B., & Catano, N. (2008). Qualities of effective principals. Association for Supervision & Curriculum Development (ASCD).
  • Supovitz, J., Sirinides, P., & May, H. (2010). How principals and peers influence teaching and learning. Educational Administration Quarterly, 46(1), 31–56. https://doi.org/10.1177/1094670509353043
  • Tan, C. Y. (2018). Examining school leadership effects on student achievement: The role of contextual challenges and constraints. Cambridge Journal of Education, 48(1), 21–45. https://doi.org/10.1080/0305764X.2016.1221885
  • Thompson, A. G. (1992). Teachers’ beliefs and conceptions: A synthesis of the research. In D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning (pp. 127–146). National Council of Teachers of Mathematics.
  • Thompson, A. G., Philipp, R. A., Thompson, P. W., & Boyd, B. (1994). Calculational and conceptual orientations in teaching mathematics. In D. B. Aichele & A. F. Coxford (Eds.), Professional development for teachers of mathematics (pp. 79–92). NCTM.
  • To, K. K., & Pang, M. F. (2019). A study of variation theory to enhance students’ genre awareness and learning of genre features. International Journal for Lesson and Learning Studies, 8(3), 183–195. https://doi.org/10.1108/IJLLS-10-2018-0070
  • Urick, A., & Bowers, A. J. (2014). The impact of principal perception on student academic climate and achievement in high school: How does it measure up? Journal of School Leadership, 24(2), 386–414. https://doi.org/10.1177/105268461402400207
  • Urick, A., Wilson, A. S. P., Ford, T. G., Frick, W. C., & Wronowski, M. L. (2018). Testing a framework of math progress indicators for ESSA: How opportunity to learn and instructional leadership matter. Educational Administration Quarterly, 54(3), 396–438. https://doi.org/10.1177/0013161X18761343
  • Viholainen, A., Asikainen, M., & Hirvonen, P. E. (2014). Mathematics student teachers’ epistemological beliefs about the nature of mathematics and the goals of mathematics teaching and learning in the beginning of their studies. Eurasia Journal of Mathematics, Science and Technology Education, 10(2), 159–171. https://doi.org/10.12973/eurasia.2014.1028a
  • White-Fredette, K. (2010). Why not philosophy? Problematizing the philosophy of mathematics in a time of curriculum reform. The Mathematics Educator, 19(2), 21–30. http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.361.4387&rep=rep1&type=pdf
  • Yeliz, T. D. (2016). Effective learning environment characteristics as a requirement of constructivist curricula: Teachers’ needs and school principals’ views. International Journal of Instruction, 9(2), 183–198. https://doi.org/10.12973/iji.2016.9213a
  • Youngs, P. (2007). How elementary principals’ beliefs and actions influence new teachers’ experiences. Educational Administration Quarterly, 43(1), 101–137. https://doi.org/10.1177/0013161X06293629
  • Youngs, P., & Bruce, K. M. (2002). Principal leadership for professional development to build school capacity. Educational Administration Quarterly, 38(5), 643–670. https://doi.org/10.1177/0013161X02239642