I have a problem, and I need your help. I love teaching young students about data and statistics. And I enjoy finding ways to make data and statistics matter more to young students. I’m troubled by how we teach students to think about data and statistics, and I have some ideas on how we can […]
Question: If someone asks you what “elicit” means, could you nail the definition? Try it. How’d you do?
Confession: I was an English Literature major in college. I tutored college-level math and fell in love with teaching because of math. But back then, words and expression and theater were my jam. And in many ways they still are.
I was co-writing an article the other month about instructional routines that elicit student discourse in the math classroom. And at one point, the word-nerd in me paused to ponder, “What the does ‘elicit’ really mean? Is it an invitation? Is it a pulling or a pushing? What other words have the same root as elicit? Illicit? Were they opposites? Did they have related etymologies?”
I figured it was worth exploring and down the rabbit-hole I went. Once again.
What is Abductive Reasoning?
I’m going to share my new favorite term: abductive reasoning. Maybe you’ve known about it for years and never told me about it. (If that’s the case, you might be a jerk.) Or maybe it’s new to you too. (If that’s the case, let me know because I’m a little embarrassed I haven’t learned about abductive reasoning until recently.)
To recap, deductive reasoning is about making specific conclusions from general statements (like a math proof). Inductive reasoning is about making generalizations about specific observations (like a science experiment).
By comparison, abductive reasoning is about making your best prediction based on incomplete information.
Abductive reasoning?!?!?! Where have you been all my life? Welcome to my lexicon. Have a seat front and center and let’s talk.
(Update: This post is the second in a series about my learning and thinking about argument and how it relates to our work in the math classroom. Click here to read the first post. Click here to read the third.) Welcome back math geeks! Last week, I was preparing for a workshop facilitating the learning […]
I went searching for more knowledge about argument. I fell into a rabbit hole. Help me make sense of this. Do you agree? Disagree? What are your thoughts?
“…there is a difference between mathematical arguments and scientific arguments. The difference is that scientific arguments are always based on evidence, whereas mathematical arguments never are. It is this difference that renders the findings of science provisional and the findings of mathematics eternal…Blurring the distinction between mathematical and scientific arguments leads to a misunderstanding of what science is about.” -NGSS Appendix L