Real-world vs. mathematical

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  • #2219

    Dr. McCallum,

    My understanding is that the frequent differentiation between Real-world and Mathematical problems refers to mathematical problems that are or are not contextualized. Is a problem considered to be Mathematical rather than Real-world when it is abstract and free of real-world context from beginning to end? Are problems in which a student must contextualize or decontextualize both considered to be Real-world problems?

    Additionally, I’ve noted that the phrase “real-world and mathematical problems” is used throughout the standards, while there are several occurrences of “a real-world or mathematical problem” within the EE sections of 6th and 7th grade. Is any specific distinction intended by the two wording forms?

    #2232
    Bill McCallum
    Keymaster

    That’s very observant to notice the “or” versus “and.” I wouldn’t attach much significance to it, however. I think it’s just an editing inconsistency. The point of the phrase is simply to make clear that there is no demand to contextualize every problem, nor is there a demand that students must work on purely mathematical problems all the time. I suppose we could just have said “problems” rather than “real-world and mathematical problems,” but people tend to see what they want to see, so we wanted to make clear that any sort of problem was permissible.

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