Thank you Dan! Love your take on enriched feedback. I tested out resources like Khan SAT Practice by developing a realistic persona based on my students and staying in character while taking an entire test. (I had to take the test on Saturday with kids for a work assignment, not fun.) It's a great way to evaluate the feedback delivered by the product, and helped me train teachers to interpret that feedback and act on it constructively with students. Hope to see you keynote at a conference again soon.
It's bothered me forever, since the last stinking century, that if somebody says two to the third power is 6, there isn't a little explanation with illustration in the answer ... or, oh MY!!!! guided practice to *address that mistake.*
As usual you are stimulating. I am grateful. You see characteristics that are well, or not well, engineered for mechanization of the delivery of math conceived before computers let us learn computation. Do you see any math education that reflects the ideas that have emerged?
I recognized the sheep animation from Desmos/Amplify Algebra 1 Unit 2 -- an excellent lesson with enriched feedback. Which grade/units are the other two pictures at the high end for data resolution and mathematical creativity from?
Dan,
First, I have been following your work for years and have been inspired by it, both in my role as teacher and teacher educator.
Second, I really appreciate the distinction you have drawn here (and elsewhere) about low and high resolution data
Thanks so much m
Thank you Dan! Love your take on enriched feedback. I tested out resources like Khan SAT Practice by developing a realistic persona based on my students and staying in character while taking an entire test. (I had to take the test on Saturday with kids for a work assignment, not fun.) It's a great way to evaluate the feedback delivered by the product, and helped me train teachers to interpret that feedback and act on it constructively with students. Hope to see you keynote at a conference again soon.
It's bothered me forever, since the last stinking century, that if somebody says two to the third power is 6, there isn't a little explanation with illustration in the answer ... or, oh MY!!!! guided practice to *address that mistake.*
This answer is not a surprise! We should have more available for a student than "wrong!"
Or a little animation like this one: https://youtu.be/vLSkRi5_HKQ?si=zBsO71SpkO0iFKIG&t=31
Very helpful framework.
As usual you are stimulating. I am grateful. You see characteristics that are well, or not well, engineered for mechanization of the delivery of math conceived before computers let us learn computation. Do you see any math education that reflects the ideas that have emerged?
I recognized the sheep animation from Desmos/Amplify Algebra 1 Unit 2 -- an excellent lesson with enriched feedback. Which grade/units are the other two pictures at the high end for data resolution and mathematical creativity from?
This screen right here!
https://teacher.desmos.com/activitybuilder/custom/5d1a77ed2dda5c4672e15105?collections=5f8a43dd06b0d9a8bd84c3d0%2C5f8a441e06b0d9a8bd84c3d1#preview/ec16b5fb-77c1-41df-8601-b140e67f66ef
Fun, thanks!