**Bibliography**

Aikenhead, G., Brokofsky, J., Bodnar, T., Clark, C., Foley, C., Strange, G. (2014). *Enhancing school science with Indigenous knowledge: What we know from teachers and research*. Saskatoon, Canada: Saskatoon Public School Division.

Aikenhead. G., & Michell, H. (2010). *Bridging cultures: Indigenous and scientific ways of knowing nature*. Don Mills, Ontario, Canada: Pearson Education.

Al-Azawi, R., Al-Faliti, F., & Al-Blushi, M. (2016). Educational Gamification Vs. Game Based Learning: Comparative Study. *International Journal Of Innovation, Management And Technology*, 131-136. doi: 10.18178/ijimt.2016.7.4.659

Alberta Regional Professional Development Consortia (ARPDC). Empowering the Spirit. Internet: <https://empoweringthespirit.ca/>

Anderson, R. K., Boaler, J., & Dieckmann, J. A. (2018). Achieving elusive teacher change through challenging myths about learning: A blended approach. *education sciences, 8*(98), 1-33.

Anderson, A., & Valero, P. (2016). Negotiating critical pedagogical discourses stories of contexts, mathematics and agency. In Ernest, P., Sriraman, B., & Ernest, N. (Eds.), *Critical Mathematics Education: Theory, Praxis and Reality *(pp. 199-225). Charlotte, NC: Information Age Publishing

Barta, J., Eglash, R., & Barkley, C. (2014). Introduction. In J. Barta, R. Eglash & C. Barkley (Eds.), *Math is a verb: Activities and lessons from cultures around the world* (pp. 1-7). Reston, VA: National Council of a Teachers of Mathematics.

Battiste, M. (2002) Indigenous Knowledge and Pedagogy in First Nations Education: A Literature Review with Recommendations, Ottawa, ON: National Working Group on Education and the Minister of Indian Affairs, Indian and Northern Affairs Canada (INAC)

Bellringer, C. (2019). Progress audit: The education of Aboriginal students in the B.C. public school system. Victoria, B.C.: Office of the Auditor General of British Columbia.

Bishop, A. J. (1988). The interactions of mathematics education with culture. *Cultural Dynamics, 1*(2). 145-157.

Black, Paul & Wiliam, Dylan (2010). Inside the Black Box: Raising Standards Through Classroom Assessment. *Phi Delta Kappan* . DOI:10.1177/003172171009200119. Internet : <https://www.researchgate.net/publication/44836144_Inside_the_Black_Box_Raising_Standards_Through_Classroom_Assessment>

Boaler, J. (2013). Ability and mathematics: The mindset revolution that is reshaping education. *FORUM, 55*(1), 143-152.

Boaler, J. et al. (n.d). Brain Science – YouCubed. Internet: https://www.youcubed.org/resources/brain-science/

Boaler, J. et al. (n.d). Growth Mindset – YouCubed. Internet: http://www.youcubed.org/category/teaching-ideas/growing-mindset/

Boaler, J. et al. (n.d)). Parents’ Beliefs about Math Change Their Children’s Achievement – YouCubed. Internet: https://www.youcubed.org/resources/families-beliefs-math-change-childrens-achievement/

Boaler, J. (n.d).Setting Up Positive Norms in Math Class. Internet: http://www.youcubed.org/wp-content/uploads/Positive-Classroom-Norms2.pdf

Boaler, J. et al. (n.d). Thought Leaders – YouCubed. Internet: https://www.youcubed.org/resource/21st-century-mathematics/

Boaler, J. et al. (n.d). Anyone Can Learn to High Levels – YouCubed. Internet: https://www.youcubed.org/evidence/anyone-can-learn-high-levels/

Boaler, J. & Chen, L. (2016). « Why Kids Should Use Their Fingers in Math Class: ». *The Atlantic*. Internet: https://www.theatlantic.com/education/archive/2016/04/why-kids-should-use-their-fingers-in-math-class/478053/

Boaler, J., & Confer, A. (2017). Assessment for a growth mindset. Stanford, CA: You Cubed at Stanford. Internet: https://www.youcubed.org/wp-content/uploads/2017/03/1439422682-AssessmentPaper.pdf

Boaler, J., & Selling, S. (2017). Psychological imprisonment or intellectual freedom? A longitudinal study of contrasting school mathematics approaches and their impact on adults’ lives. *Journal for Research in Mathematics Education, 48*(1), 78-105

Brokenleg, M. & Van Bockern, S. (2003). The Science of Raising Courageous Kids, Reclaiming Children and Youth. *Reclaiming Children and Youth *12:1, pp. 22-27. Internet: http://martinbrokenleg.com/wp-content/uploads/2016/02/12_1_Brokenleg_Van_Bockern.pdf

Buehl, D. (2017). *Developing Readers in the Academic Disciplines, 2nd edition*. York, Maine: Stenhouse Publishers.

Card, David & Payne, A. Abigail. (2021). High School Choices and the Gender Gap in STEM. *Economic Inquiry*, Vol. 59, No. 1, 9-28. With Online Early Publication Sept. 25, 2020. Internet: https://onlinelibrary.wiley.com/doi/epdf/10.1111/ecin.12934.

Chappuis, J., & Stiggins, R. (2016). *An introduction to student-involved assessment for learning* (7th ed.). Pearson.

Curtis, D. et Carter, M. (2003). *Designs for living and learning: Transforming early childhood environments*. St. Paul (Minn.) : Redleaf Press.

Davies, A., Herbst, S. and Parrott Reynolds, B. (2011). *Leading the Way to Assessment for Learning: A Practical Guide*, Second Edition, Courtenay, BC: Connections Publishing and Bloomington IN: Solution Tree Press.

Doolittle, E. (2006, June). Mathematics as Medicine. In P. Liljedahl (Ed.), *Proceedings of the annual meeting of the Canadian Mathematics Education Study Group* (pp. 17-25). Calgary, Alberta, Canada: University of Calgary.

Duncan, Greg J. et al. (2007a). School Readiness and Later Achievement. *Developmental Psychology*, Vol. 43, No. 6, 1428–1446. DOI: 10.1037/0012-1649.43.6.1428 . Internet : <https://www.apa.org/pubs/journals/releases/dev-4361428.pdf>

Duncan, Greg J. et al. (2007b). Supplemental Material for School Readiness and Later Achievement. *Developmental Psychology*, Vol. 43, No. 6, 1428–1446. http://dx.doi.org/10.1037/[0012-1649.43.6.1428].supp

Ernest, P. (2016). Mathematics and values. In B. Larvor (Ed.), *Mathematical cultures*. Basel, Switzerland. Springer International Publishing.

Estrin, E. T., & Nelson-Barber, S. (1995). Issues in cross-cultural assessments: American Indian and Alaska Native students. *Knowledge Brief*, 12. San Francisco, CA: WestEd (formerly Far West Laboratory). Internet: https://www2.wested.org/www-static/online_pubs/KN-95-01.pdf

Faber, J., Luyten, H., & Visscher, A. (2017). The effects of a digital formative assessment tool on mathematics achievement and student motivation: Results of a randomized experiment. *Computers & Education*, *106*, 83-96. doi: 10.1016/j.compedu.2016.12.001

First Nations Education Steering Committee (FNESC). Internet: http://www.fnesc.ca/.

First Nations University of Canada. (n.d.) National Centre for Collaboration in Indigenous Education (NCCIE). Internet: < https://www.nccie.ca/>

Four Directions Teachings.com – Teacher’s Resource Kit. Internet: http://www.fourdirectionsteachings.com/resources.html.

Fullan, M., Quinn, J., & McEachen, J. (2018). *Deep learning: Engage the world; change the world*. Thousands Oaks, CA: Corwin Press.

Gabriel Dumont Institute. Strengthening Our Voice: A Guide for Engaging First Nations and Métis Peoples in Public Schools. Internet: https://saskschoolboards.ca/wp-content/uploads/2015/08/11-02.pdf.

Gersten, R., Beckmann, S., Clarke, B., Foegen, A., Marsh, L., Star, J. R., & Witzel, B. (2009). Assisting students struggling with mathematics: Response to Intervention (RtI) for elementary and middle schools (NCEE 2009-4060). Washington, DC: National Center for Education Evaluation and Regional Assistance, Institute of Education Sciences, U.S. Department of Education. Internet: https://ies.ed.gov/ncee/wwc/Docs/PracticeGuide/rti_math_pg_042109.pdf

Goulet, Linda M.Goulet & Keith N. (2014). Teaching Each Other Nehinuw Concepts & Indigenous Pedagogies. Vancouver: UBC Press.

Hattie, J., & Clarke, S. (2018). *Visible learning: **Feedback*. London: Routledge, Taylor & Francis Group

Hattie, J., Fisher, D., Frey, N., Gojak, L., Delano Moore, S., & Mellman, W. (2016). *Visible learning for mathematics, grades K-12: what works best to optimize student learning*. Thousand Oaks, CA: Corwin Mathematics

How Parents Can Help with Math at Home | Brant Haldimand Norfolk Catholic District School Board. (n.d.). Retrieved 4 July 2020, from http://www.bhncdsb.ca/page/how-parents-can-help-math-home

Humphreys, Cathy and Parker, Ruth. (2015). *Making Number Talks Matter: Developing Mathematical Practices and Deepening Understanding, Grades 3-10.* Portsmouth, NH: Stenhouse Publishers.

Joseph, R., & Joseph, C. (2019). *Indigenous relations: Insights, Tips, and Suggestions to Make Reconciliation a Reality*. indigenous Relations Press/Page Two Books.

Kitchen, M. (2016a). Show Students the Real Purpose of Math. Retrieved 10 July 2020, Internet: https://www.nctm.org/Publications/MTMS-Blog/Blog/Show-Students-the-Real-Purpose-of-Math/

Kitchen, M. (2016b). Answering the question: When am I ever going to use this? (NCTM Blog). Internet: https://www.nctm.org/Publications/MTMS-Blog/Blog/Answering-the-Question_-When-Am-I-Ever-Going-to-Use-This_/

Larson, M. (2016, October 25). Bringing needed coherence and focus to high school mathematics. News & Calendar. National Council of Teachers of Mathematics. Internet: https://www.nctm.org/News-and-Calendar/Messages-from-the-President/Archive/Matt-Larson/Bringing-Needed-Coherence-and-Focus-to-High-School-Mathematics/.

Lee, O., Santau, A., & Maerten-Rivera, J. (2011). Science and literacy assessments with English language learners. In M. Basterra, E. Trumbull, & G. Solano-Flores (Eds.), *Cultural validity in assessment: Addressing linguistic and cultural diversity* (pp. 254-274). New York: Routledge.

Liljedahl, P. (2020). Building Thinking Classrooms in Mathematics, Grades K-12: 14 Practices for Enhancing Learning. Thousand Oaks,California: Corwin Press, Inc.

Macaulay, A. (2015). Effective practices in Grade 9 Applied Mathematics (Doctoral dissertation submitted to the University of Toronto).

Magnuson, Katherine & Duncan, Greg J. (2011). The Nature and Impact of Early Achievement Skills, Attention Skills, and Behavior Problems. In Greg J. Duncan & Richard J. Murnane (Eds.),* Whither Opportunity?: Rising Inequality, Schools, and Children’s Life Chances *(pp. 47–69). New York: Russell Sage Foundation.

Marzano, R., & Pickering, D. (2005). *Building academic vocabulary Teacher’s Manual*. Alexandria, Va.: Association for Supervision and Curriculum Development.

McCaffrey, T. (2016). Rethinking the Gradual Release of Responsibility Model. (NTCM Blog) Retrieved from https://www.nctm.org/Publications/MTMS-Blog/Blog/Rethinking-the-Gradual-Release-of-Responsibility-Model/

Meyer, S., Aikenhead, G., Cardinal, K., Sylvester, D., & View, T. Culture-Based School Mathematics for Reconciliation and Professional Development | McDowell Foundation. Internet:<https://education.usask.ca/profiles/project-report—indigenous-culture-based-sch-math.pdf > OR <https://saskmath.ca/wp-content/uploads/2021/09/culture-based_math.pdf>

Ministry of Education, Sk. (2018). Inspiring Success: First Nations and Métis PreK-12 Education Policy Framework. Internet: <https://publications.saskatchewan.ca/api/v1/products/90278/formats/107115/download>

Munson, Jen, (2018). *In the Moment*: Conferri*ng in the Elementary Classroom* Portsmouth, NH: Heinemann

Murray, J. (2012). Education is the new buffalo. *NetNewsLedger*. Internet: from http://www.netnewsledger.com/2012/01/30/education-is-the-new-buffalo/.

National Council of Teachers of Mathematics. Calculator Use in Elementary Grades. Internet: https://www.nctm.org/Standards-and-Positions/Position-Statements/Calculator-Use-in-Elementary-Grades/

National Council of Teachers of Mathematics (2014). *Principles to Actions: Ensuring Mathematical Success for All*. Reston, VA: NTCM.

Nonesuch, K. (2008). Family Math Fun. Retrieved 5 July 2020, from http://en.copian.ca/library/learning/familymath/familymath.pdf.

Ohio State University. (2014, December 10). It doesn’t add up: People who say they are good at math, but aren’t. ScienceDaily. Retrieved June 19, 2020 from www.sciencedaily.com/releases/2014/12/141210074142.htm

Parrish, S. (2010). *Number Talks: Helping Children Build Mental Math and Computation Strategies, **Grades K-5**. *Sausalito, CA.: Math Solutions

Picha, G. (2018). Effective Technology Use in Math Class. Retrieved 5 July 2020, from https://www.edutopia.org/article/effective-technology-use-math-class.

Pierce, K. (2019). Magnitude Of Number: Where Does 1 Billion Go On The Number Line? – Math is Visual. Internet: http://mathisvisual.com/magnitude-trillion

Ruef, J. L. (2017, September 29). You’re all ‘math people,’ but you just didn’t know it. San Francisco Chronicle. Retrieved from https://www.sfchronicle.com/opinion/article/You-re-all-math-people-you-just-12236409.php.

Saul, J. (2015) *The Comeback : How Aboriginals Are Reclaiming Power and Influence*. Canada: Viking.

Seeley, C. (2017). Turning Teaching Upside Down – Educational Leadership. Internet: https://www.ascd.org/el/articles/turning-teaching-upside-down.

Skovsmose, O.; & Greer, B. (2012). Opening the cage? Critical agency in the face of uncertainty. In O. Skovsmose & B. Greer (Eds.), *Opening the cage: Critique and politics of mathematics education* (pp. 369-386). Boston: Sense Publishers.

Small, M. (2010). Big Ideas from Dr. Small: Creating a Comfort Zone for Teaching Mathematics Grades Kindergarten – 3. Toronto: Nelson Education Ltd.

Small, Marian. (2008). * Making Math Meaningful to Canadian Students, K-8.* Toronto, ON : Nelson Education.

Solano-Flores, G., & Nelson-Barber, S. (2001). On the cultural validity of science assessments. *Journal of Research in Science Teaching, 38*, 553-573.

Stein, A. (1971). Strategies for failure. *Harvard Educational Review, 41*, 133-179.

Stiggins, R. & O’Connor, K. (2007). *Grading & Reporting in Standards-Based Schools DVD Package*. Assessment Training Institute Series. Portland, OR: Pearson.

Think Indigenous – Online Indigenous Education K-8. YouTube. (2020). Internet: https://www.youtube.com/channel/UC_oj_HUD7yZ7GedBlN3cDvQ/featured

Trumbull, E., & Solano-Flores, G. (2011). The role of language in assessment. In M. Basterra, E. Trumbull, & G. Solano-Flores (Eds.), *Cultural validity in assessment: Addressing linguistic and cultural diversity* (pp. 22-45). New York: Routledge.

Truth and Reconciliation Commission of Canada: Calls to Action. (2015). Internet: https://ehprnh2mwo3.exactdn.com/wp-content/uploads/2021/01/Calls_to_Action_English2.pdf.

University of Regina. (n.d.). Aboriginal Perspectives. Internet http://aboriginalperspectives.uregina.ca/introduction.shtml.

University of Toronto. Research guides: Infusing Indigenous Perspectives in K-12 Teaching: Lesson Plans. Retrieved 5 July 2020, from https://guides.library.utoronto.ca/indigenouseducation/lessonplans.

Van de Walle, John A., Bay-Williams, J. M., Lovin, L. H., & Karp, K. S. (2017). Teaching student-centered mathematics: Developmentally appropriate instruction for grades 6-8 (Volume III), Third edition, Student-Centered Mathematics Series. Pearson.

Vaudrey, M. (2012). The Mullet Ratio. Retrieved 12 June 2020, from http://mrvaudrey.com/2012/05/03/the-only-lesson-theyll-remember/.

White, B., & Frederiksen, J. (1998). Inquiry, Modeling, and Metacognition: Making Science Accessible to All Students. *Cognition And Instruction*, *16*(1), 3-118. doi: 10.1207/s1532690xci1601_2

Copyright © SaskMATH 2021