While both instrumental and relational learning individually
contribute their share towards understanding Mathematics, the union of both can
produce fascinating results. For instance, relational understanding can limit
our intellectual horizons while understanding the topic of limits in
Mathematics. On the other hand, the topic can be thoroughly understood if
approached instrumentally.
Similarly, relational understanding is not to be underestimated,
as it provides a platform to make Math
relevant. As educators, we need to instill in our future Mathematicians the
importance of thinking mathematically. It is relational thinking that allows us
to apply Math in other contexts. For
example, thinking logically is as
important for lawyers as for Mathematicians. Likewise, the revolutionary
invention of MRI (Magnetic Resonance Imaging) that highly relies on
differentiation in Bloch Equation is only possible when the students are taught
both instrumentally and relationally.
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