Benjamin Keep, PhD, JD | What Gears Teach Us About Thinking @benjaminkeep | Uploaded October 2021 | Updated October 2024, 9 hours ago.
When you solve a problem, do you use your imagination? Or do you use a mathematical rule?
The answer depends on what you understand about the problems you're tackling.
Gear problems involve figuring out what happens to gears in various configurations. And they tell us some interesting things about how we solve problems.
00:00 Introduction
00:31 Three Ways to Solve This Problem
02:05 Generating a Local Rule
03:01 Generating a General Rule
04:15 A Twist on the Problem
05:32 Lesson One
06:10 Lesson Two
06:52 Lesson Three
Sign up to my email newsletter, Avoiding Folly, here: benjaminkeep.com
The main inspiration for this video came from this gem from the mid-90s, though there are other pieces that discuss similar issues.
Schwartz, D. L., & Black, J. B. (1996). Shuttling between depictive models and abstract rules: Induction and fallback. Cognitive science, 20(4), 457-497. (available at https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.682.3493&rep=rep1&type=pdf)
When you solve a problem, do you use your imagination? Or do you use a mathematical rule?
The answer depends on what you understand about the problems you're tackling.
Gear problems involve figuring out what happens to gears in various configurations. And they tell us some interesting things about how we solve problems.
00:00 Introduction
00:31 Three Ways to Solve This Problem
02:05 Generating a Local Rule
03:01 Generating a General Rule
04:15 A Twist on the Problem
05:32 Lesson One
06:10 Lesson Two
06:52 Lesson Three
Sign up to my email newsletter, Avoiding Folly, here: benjaminkeep.com
The main inspiration for this video came from this gem from the mid-90s, though there are other pieces that discuss similar issues.
Schwartz, D. L., & Black, J. B. (1996). Shuttling between depictive models and abstract rules: Induction and fallback. Cognitive science, 20(4), 457-497. (available at https://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.682.3493&rep=rep1&type=pdf)
