Resources, Research and More Reading
Ministry Resources
Ontario Ministry of Education. (2005a). The Ontario curriculum: Grades 1–8 mathematics. Toronto, ON: Queen’s Printer for Ontario. http://www.edu.gov.on.ca/eng/curriculum/elementary/math18curr.pdf
Ontario Ministry of Education. (2005b). The Ontario curriculum: Grades 9 and 10 mathematics. Toronto, ON: Queen’s Printer for
Ontario. http://www.edu.gov.on.ca/eng/curriculum/secondary/math910curr.pdf
Ontario Ministry of Education. (2007). The Ontario curriculum: Grade 11 and 12. Toronto, ON: Queen’s Printer for Ontario.
http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf
Ontario Ministry of Education. (2010). Full-day early learning Kindergarten program (draft version). Toronto, ON: Queen’s Printer for
Ontario. Retrieved from http://www.edu.gov.on.ca/eng/curriculum/ elementary/kindergarten_english_june3.pdf
EduGAINS. (n.d.). Student critical learning instructional paths supports (CLIPS) in mathematics: Grades K–12. Retrieved from
http://www.edugains.ca EduGAINS. (n.d.) TIPS4RM. http://www.edugains.ca
Ontario Ministry of Education. (2012). Paying attention to proportional reasoning. Toronto, ON: Queen’s Printer for Ontario. Retrieved
from http://www.edu.gov.on.ca/eng/teachers/studentsuccess/ ProportionReason.pdf Ontario Ministry of Education. (2013).
Paying attention to algebraic reasoning. Toronto, ON: Queen’s Printer for Ontario. Retrieved from
http://www.edu.gov.on.ca/eng/literacynumeracy/ PayingAttentiontoAlgebra.pdf
Ontario Ministry of Education. (2005b). The Ontario curriculum: Grades 9 and 10 mathematics. Toronto, ON: Queen’s Printer for
Ontario. http://www.edu.gov.on.ca/eng/curriculum/secondary/math910curr.pdf
Ontario Ministry of Education. (2007). The Ontario curriculum: Grade 11 and 12. Toronto, ON: Queen’s Printer for Ontario.
http://www.edu.gov.on.ca/eng/curriculum/secondary/math1112currb.pdf
Ontario Ministry of Education. (2010). Full-day early learning Kindergarten program (draft version). Toronto, ON: Queen’s Printer for
Ontario. Retrieved from http://www.edu.gov.on.ca/eng/curriculum/ elementary/kindergarten_english_june3.pdf
EduGAINS. (n.d.). Student critical learning instructional paths supports (CLIPS) in mathematics: Grades K–12. Retrieved from
http://www.edugains.ca EduGAINS. (n.d.) TIPS4RM. http://www.edugains.ca
Ontario Ministry of Education. (2012). Paying attention to proportional reasoning. Toronto, ON: Queen’s Printer for Ontario. Retrieved
from http://www.edu.gov.on.ca/eng/teachers/studentsuccess/ ProportionReason.pdf Ontario Ministry of Education. (2013).
Paying attention to algebraic reasoning. Toronto, ON: Queen’s Printer for Ontario. Retrieved from
http://www.edu.gov.on.ca/eng/literacynumeracy/ PayingAttentiontoAlgebra.pdf
Research and Further Reading of Interest
Ansari, D. (2013). Disorders of the “mathematical brain”: Developmental dyscalculia and mathematics anxiety. Keynote address:
Ontario Association of Mathematics Educators, Seneca College, Toronto, ON.
Bruce, C. (2014a). “Spatializing” the mathematics curriculum: New perspectives, new frameworks. Proceedings of the 38th Conference
of the International Group for the Psychology of Mathematics Education. Vancouver, BC: PME.
Bruce, C. (2014b). Use of the iPad as a mediator for the development of spatial reasoning in young children. Proceedings of the 38th
Conference of the International Group for the Psychology of Mathematics Education. Vancouver, BC: PME.
Casey, B., Andrews, N., Schindler, H., Kersh, J. E., Samper, A., & Copley, J. (2008). The development of spatial skills through interventions
involving block building activities. Cognition and Instruction, 26(3), 269–309.
Clements, D., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. New York, NY: Routledge.
NCTM (2012). Research on the benefits of math manipulatives. Retrieved from
https://www.hand2mind.com/pdf/learning_place/research_math_manips.pdf
Papert, S. (1980). Mindstorms, Scranton, PA: Basic Books
Sarama, J., & Clements, D. (2009). Early childhood mathematics education research: Learning trajectories for young children. New
York, NY: Taylor & Francis.
Shumway, J. F. (2013). Building bridges to spatial reasoning. Teaching Children Mathematics, 20(1), 44–51.
Ontario Association of Mathematics Educators, Seneca College, Toronto, ON.
Bruce, C. (2014a). “Spatializing” the mathematics curriculum: New perspectives, new frameworks. Proceedings of the 38th Conference
of the International Group for the Psychology of Mathematics Education. Vancouver, BC: PME.
Bruce, C. (2014b). Use of the iPad as a mediator for the development of spatial reasoning in young children. Proceedings of the 38th
Conference of the International Group for the Psychology of Mathematics Education. Vancouver, BC: PME.
Casey, B., Andrews, N., Schindler, H., Kersh, J. E., Samper, A., & Copley, J. (2008). The development of spatial skills through interventions
involving block building activities. Cognition and Instruction, 26(3), 269–309.
Clements, D., & Sarama, J. (2009). Learning and teaching early math: The learning trajectories approach. New York, NY: Routledge.
NCTM (2012). Research on the benefits of math manipulatives. Retrieved from
https://www.hand2mind.com/pdf/learning_place/research_math_manips.pdf
Papert, S. (1980). Mindstorms, Scranton, PA: Basic Books
Sarama, J., & Clements, D. (2009). Early childhood mathematics education research: Learning trajectories for young children. New
York, NY: Taylor & Francis.
Shumway, J. F. (2013). Building bridges to spatial reasoning. Teaching Children Mathematics, 20(1), 44–51.