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  • Aaron Davis

    September 29, 2020 at 9:54 am

    Proportional reasoning is all about the context and developmental readiness of the student (or perspective). These tasks are great low floor high ceiling tasks because most children can take part in the discussion and defend their answer depending on whether they are thinking relatively or in absolutes. Often times it is easy to forget about the Mathematical Practices we are trying to develop in our students because we are so focused on teaching them the standards (unfortunately regardless of whether they are developmentally ready for it) but by focusing on the MPs, like #3, “Construct viable arguments & critique the reasoning of others” students learn to be precise with their mathematical vocabulary and gain greater understanding of math concepts like proportional reasoning by hearing the different reasoning of their peers. Doing tasks like these two, anticipating the types of answers and misconceptions students will come up with, can provide us with important information about where the students stand on the learning continuum.