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OTOH, puzzling something out through trial and error fosters curiosity and teaches a "fail fast" mindset. For a sixth grader, this "play" may be a more benefici
by mepiethree 7y ago
OTOH, puzzling something out through trial and error fosters curiosity and teaches a "fail fast" mindset. For a sixth grader, this "play" may be a more beneficial lesson than only being able to tackle problems for which you already know the optimal strategy (in this case, algebra)
- chongli 7y agoI disagree. The hard problems in math, science, and engineering are not amenable to a "fail fast" mindset. They take years, decades, or sometimes centuries of study to solve. This sort of puzzling through play is good for solving math contest problems that have been specifically designed for the purpose, and little else.
- d0mine 7y agoSimple examples may be useful. Exploring them, proving stuff about them it is how one may carve a foothold to solve a harder problem. Example: The Josephus Problem - Numberphile https://youtube.com/watch?v=uCsD3ZGzMgE&t=86 https://youtube.com/watch?v=uCsD3ZGzMgE&t=86