Spatial Reasoning
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“Research on spatial reasoning substantiates the critical importance of spatial reasoning abilities in geometry, measurement and problem solving both early in students’ mathematics experiences as well as later in high school and beyond, especially in STEM areas.” (Shumway, 2013, p. 50) |
Proportional Reasoning
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“All ability to reason using proportional relationships is a complex process that develops over an extended period of time. It takes many varied physical experiences to develop an understanding of what a proportional relationship is and then more time to gain the ability to deal with it abstractly.” (Cordel, & Mason, 2000) |
Proportional Reasoning: An Overview
Primary: Developing Proportional Reasoning through Unitizing
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Bibliography
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 spatial reasoning. Toronto, ON: Queen’s Printer for Ontario. Retrieved from http://www.edu.gov.on.ca/eng/literacynumeracy/ PayingAttentiontoSpatialReasoning.pdf
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 spatial reasoning. Toronto, ON: Queen’s Printer for Ontario. Retrieved from http://www.edu.gov.on.ca/eng/literacynumeracy/ PayingAttentiontoSpatialReasoning.pdf
