What is Rigor? by Aris Winger https://padlet.com/ariswinger/chzswf3chwpn7b7i Describe Rigor in your context. What topic are you covering? Your group will be given a specific mathematical topic. How can that topic be approached with rigor, and how it can be approached with understanding? Where does compassion come in? en-us 2025-07-31 05:14:33 UTC 2025-07-31 20:20:25 UTC hello@padlet.com https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533270358 Using the formula

Understanding completing the square

Connecting the quadratic formula to the graph of the parabola.

]]> 2025-07-31 19:51:48 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533270358 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533270874 Topic: "What is a function?"

]]> 2025-07-31 19:53:33 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533270874 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533270919 We also talked about levels of rigor, from using the formula, to connecting it with the graph and interpreting the intercept(s), to modeling using quadratic equations.

]]> 2025-07-31 19:53:43 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533270919 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271115 At a higher level of rigor, we use a precise definition of a function and test their ability to apply that

]]> 2025-07-31 19:54:31 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271115 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271126 We discussed the interplay between computation and application. Is the rigor in the understanding?

]]> 2025-07-31 19:54:34 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271126 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271141 Derivative of x^n:


Have them use the limit def of the derivative on f(x) = x, x^2 and x^3 and look for patterns to generalize formula for x^n

]]> 2025-07-31 19:54:41 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271141 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271429 Look at numerical tables of slopes of secant lines to estimate the derivative at a particular value

]]> 2025-07-31 19:55:19 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271429 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271529 Showing all the steps

]]> 2025-07-31 19:55:41 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271529 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271563 To show compassion, we explain the definition and give examples

]]> 2025-07-31 19:55:49 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271563 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271619 Not related to our topic, but this page is one of my favorites about rigor. https://tll.mit.edu/rigor-as-inclusive-practice/

]]> 2025-07-31 19:56:01 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533271619 https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533272114 2025-07-31 19:58:02 UTC https://padlet.com/ariswinger/chzswf3chwpn7b7i/wish/3533272114