A bird's eye-view vs. bottom-up learning in math Hi! I've…
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A bird's eye-view vs. bottom-up learning in math
Hi! I've noticed that there are broadly two different ways people learn and do (research-level) mathematics: (i) top-down processing: this involves building a bird's eye view aka big picture of the ideas before diving into the details, as necessary; and (ii) bottom-up processing: understanding many of the details first, before pooling thoughts and ideas together, and establishing the big picture.
Are you a top-down learner or a bottom-up learner? How does this show up in your research? Is one better than the other in some ways?
I'm probably more of a bottom-up learner but I think top-down processing can be learnt with time, and I certainly see value in it. I'm creating this post to help compare and contrast (i) and (ii), and understand how one may go from solely (i) or (ii) to an optimal mix of (i) + (ii) as necessary.
#science
Hi! I've noticed that there are broadly two different ways people learn and do (research-level) mathematics: (i) top-down processing: this involves building a bird's eye view aka big picture of the ideas before diving into the details, as necessary; and (ii) bottom-up processing: understanding many of the details first, before pooling thoughts and ideas together, and establishing the big picture.
Are you a top-down learner or a bottom-up learner? How does this show up in your research? Is one better than the other in some ways?
I'm probably more of a bottom-up learner but I think top-down processing can be learnt with time, and I certainly see value in it. I'm creating this post to help compare and contrast (i) and (ii), and understand how one may go from solely (i) or (ii) to an optimal mix of (i) + (ii) as necessary.
#science
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