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InitialsDiceBearhttps://github.com/dicebear/dicebearhttps://creativecommons.org/publicdomain/zero/1.0/„Initials” (https://github.com/dicebear/dicebear) by „DiceBear”, licensed under „CC0 1.0” (https://creativecommons.org/publicdomain/zero/1.0/)XK
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  • Taylor series approximations work because the derivatives of the taylor series expansion and the function it is approximating are the same (and the values at the given point). Likewise, the derivative of ex is ex because the taylor expansion of ex is 1 + x/1! + x2/2! + x3/3!... which becomes 0 + 1 + x/1! + x2/2! + x3/3!... when the derivative is taken. So the derivative of the taylor expansion of ex is itself.

  • That paper isnt dealing with the same issue that I am talking about. Learning chinese isn't going to compromise someones' ability to understand physics. (Unless the problem is written in chinese I guess) But being weak on unit conversion will absolutely compromise their capability to learn a concept where the first problems they are meant to solve are written in a way that requires unit conversions.

    In my experience tutoring thousands of students, one of the most common scenarios that I see is that a student struggled in an area like that, was taught in a way that relies on that weak skill to learn the new skill when that was not necessary and then struggled with the new skill as a result. Thats the sort of scenario that this thread is about. Mixing in concepts unnecessary to understanding into a problem thus overcomplicating it before the student has a solid grasp of the concept. That does make it harder for them to learn and its something bad teachers do.

  • Attention issues

    Jump
  • You work indoors for 9 hours a day, 5 days a week with little to no exercise and are inundated with multiple concurrent tasks that require prolonged concentration and a lack of errors and wonder why you feel exhausted?

  • If your goal is to teach new material, you teach that material specifically. You dont mix other things into it because 1) it makes it harder for them to learn that new material and 2) it makes it harder for you to figure out what they dont understand.

  • Nothing short of prolonged mass boycotting nintendo has any chance of changing their behavior and even then I bet nintendo would ride all the way into the ground blaming emulators and pirates for their decline.