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Battista, M. T. (1999). The mathematical miseducation of America’s youth: Ignoring research and scientific study in

     education. Phi Delta Kappan, 80(6), 424-433.

​

Boehme. A. (2017). OAME - Spiraling the math curriculum. Retrieved from

     https://www.teachontario.ca/docs/DOC-6822.

 

Broom, C. (2016). Power, politics, democracy and reform: a historical review of curriculum reform, academia and

     government in British Columbia, Canada, 1920 to 2000. Journal of Curriculum Studies, 48(5), 711-727.

 

Darling-Hammond, L., Banks, J., Zumwalt, K., et al. (2005). Educational goals and purposes: Developing a 

     curricular vision for teaching. In Linda Darling-Hammond and John Bransford (eds.) Preparing teachers for a

     changing world (pp. 169-200). San Francisco: Jossey-Bass.

 

Darling-Hammond, L., & Richardson, N. (2009). Teacher learning: What matters? How Teachers Learn, 66(5), 46-

     53. Retrieved from: http://outlier.uchicago.edu/computerscience/OS4CS/landscapestudy/resources/Darling-

     Hammond-and-Richardson-2009.pdf

​

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.

​

Dorier, J. L., & Maass, K. (2014). Inquiry-based mathematics education. In S. Lerman (ed.), Encyclopedia of 

     Mathematics Education (pp. 300-304). Dordrecht, Netherlands:Springer.

​

EduGAINS (2018). TIPS4MATH. Retrieved from:

     http://www.edugains.ca/newsite/math/targeted_implementation.html.

​

Everyday Mathematics. (n.d.). The spiral: Why Everyday Mathematics distributes learning. Retrieved from

     http://everydaymath.uchicago.edu/about/why-it-works/spiral/.

​

Foster, N., Mueller, M., Was, C., Rawson, K., Dunlosky, J. (2019). Why does interleaving improve math learning?

     The contributions of discriminative contrast and distributed practice. Memory and Cognition, 1-15.

​

Gadanidis, G., Barba, M., Hughes, J., & Lacerda, H. D. (2016). Designing aesthetic experiences for young

     mathematicians: A model for mathematics education reform. International Journal of Mathematics Education

     Research, 6(2), 225-244.

​

Gibbs, B. (2014). Reconfiguring Bruner: Compressing the spiral curriculum. The Phi Delta Kappan, 95(7), 41-44.

​

Houchens, G. W., & Keedy, L. (2009). Theories of practice: Understanding the practice of educational leadership.

     Journal of Thought, 44(3), 49-61.

​

Kajander, A., Mason, R., Taylor, P., Doolittle, E., Boland, T., Jarvis, D., & Maciejewski, W. (2010). Multiple visions 

     of teachers’ understandings of mathematics. For the Learning of Mathematics, 30(3), 50-56.

​

Lannin, J. K., Chval, K. B. (2013). Beginning teacher beliefs. Teaching Children Mathematics, 19(8), 508-515.

​

Lockhart, P. (n.d.). A mathematician’s lament. Retrieved from:

     https://www.maa.org/external_archive/devlin/LockhartsLament.pdf.

​

Northouse, P. (2016). Introduction. In P. Northouse, Leadership theory and practice (pp. 1-18). London, UK: Sage.

​

Ontario Ministry of Education. (2016). Ontario's renewed math strategy. Retrieved from

     www.edu.gov.on.ca/eng/policyfunding/memos/april2016/min_math_strategy.html.

​

Ontario Ministry of Education. (2018). Mathematics K-12: Grades 4 to8 mathematics blended learning units.

     [Video File]. Retrieved from      

     http://www.edugains.ca/resourcesMath/VideoLibrary/Video/BlendedLearing/mp4/BL_gr4_8_Blended_

     Mathematics.mp4.

​

Pearce, K. (2018). Tap into teen minds. Retrieved from https://tapintoteenminds.com.

​

Penney, M. & Walker, S. (2019). Beyond the bandwagon: A review of our first year with spiraling. Presented at

     OAME Annual Conference, Ottawa, ON.

​

Phillips, K. (n.d.). Spiraling towards success with sticky learning. Retrieved from

     https://ontarioprincipalscouncilblog.wordpress.com/2017/10/04/spiraling-towards-success-with-

     sticky-learning/.

​

Rohrer, D. (2009). The Effects of Spacing and Mixing Practice Problems. Journal for Research in Mathematics

     Education, 40(1), 4-17. Retrieved from http://www.jstor.org/stable/40539318.

​

Schutte, G., Duhon, G., Solomon, B., Poncy, B., Moore, K., & Story, B. (2015). A comparative analysis of 

     massed vs. distributed practice on basic math fact fluency growth rates. Journal of School Psychology, 53, 149-

     159.

​

Small, M., & Duff, D. (2019). MathUP. Retrieved from https://www.rubiconpublishing.com/collections/mathup/.

 

Taylor, K., & Rohrer, D. (2010). The effects of interleaved practice. Applied Cognitive Psychology, 24(6), 837-848.

     doi:10.1002/acp.1598.

​

Teachontario.team (2017). Spiralled curriculum. [Video File]. Retrieved from

     https://www.teachontario.ca/videos/5098.

​

Wolfram, Conrad. (2010). Teaching kids real math with computers. [Video File]. Retrieved from

     https://www.ted.com/talks/conrad_wolfram_teaching_kids_real_math_with_computers#t-11895.

​

​

REFERENCES

Capstone Project

Western University

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