![]() I interpreted this as expected value, and I knew how to compute the expected value of a pdf of a random variable. I’ll also admit that I didn’t immediately see the simple approach to the answer and rushed my post in the time I had available to get it up before the answer went live on FiveThirtyEight.ġ-Use a PDF: The original FiveThirtyEight post asked for the expected time before the siblings simultaneously finished their tasks. Rather than just accepting the alternative solution, as too many students are wont to do, I acknowledged the more efficient approach of others before proceeding to find a way to get the answer through my initial idea. I argue Dan’s advice actually applies to all teachers, so in the spirit of showing how to stick with a problem and not just walking away saying “I was wrong”, I’m going to keep my original post up, add an advisory note at the start about the error, and show below how I corrected my error.Ĭonfession #2: My approach was a much longer and far less elegant solution than the identical approaches offered by a comment by “P” on my last post and the solution offered on FiveThirtyEight. While not precisely from the same perspective, Dan Teague recently wrote an excellent, short piece of advice to new teachers on NCTM’s ‘blog entitled Demonstrating Competence by Making Mistakes. ![]() Many students struggle with mathematics under the misconception that their first attempts at any topic should be as polished as what they read in published sources. I briefly thought about taking that post down, but discarded that idea when I thought about the reality that almost all published mathematics is polished, cleaned, and optimized. Confession #1: My answers on my last post were WRONG.
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