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This course has been eyeopening in many ways. As I mentioned in my introduction, my work over the past two years has been devoted to writing math strategies for a program designed to serve the whole child creating teaching effectiveness, efficacy, and equity. Through this process I found the Mathematics Knowledge Network (KNAER) report and cited this in the Background Knowledge portion of Fractions Grades 35.
In 201112 the KNAER project highlighted five ways of thinking about fractions: as linear measures on a number line, partwhole relationships, partpart relationships, quotients, and operators (fraction as operator, as in 1/5 of 3 affects the ability of students to generalize and to work with unknowns, both of which are fundamental to algebra). Another area of importance is developing the concept of a â€˜unitâ€™ fraction to define a fraction. A fraction is considered a multiple of a unit fraction: â€˜One onethird and two more onethirds gives us three onethird units.â€™
Now I know why this was such an important inclusion. My only regret is that I would have had this course before writing this strategy. Also, I see where you are one of the contributors. No wonder this is outstanding work. https://www.knaerrecrae.ca/index.php/fr/knaernetworksmain/mathnetwork