Geometry Idea for Inductive & Deductive Reasoning

We started Logic last week in my Geometry classes.  It’s everyone’s favorite topic. (big eye roll) Today we did the Law of Syllogism & Law of Detachment.  I’ve been teaching this mostly lecture style because I just haven’t come up with anything else.  My brain wasn’t getting how to go real world or hands on at all.  Obviously we’ve discussed the correlations to the legal world, but that’s about it.

Then today, driving home, it hit me! (Picture the heavens parting and light shining down on me.)  I saw a wall at an entrance to an apartment building that had been hit by a car.  I said out loud to our International Student, “Look at that wall.  The car must have hit it from the other direction because the flowers in front from this direction look perfect.  Hey, that’s inductive reasoning because I made a conclusion from an observation!”  And then I pulled out my iPhone and took a picture of the wall! Unfortunately the light turned green and I couldn’t get a picture of the other side, which proved that I was correct. 🙂

That got me thinking.  I did introduce the idea of football penalties in our discussion my lecturing of deductive reasoning (penalties are based on rules). What if I made a video about school rules?  So, tomorrow, my 1st Geom class of the day is going into the Dean of Students office and she will say to student #1, “You have 6 tardies. You have detention.”  She will say to student #2, “You have detention.”  I’ll video this to show to other class later.  Then, we can go back to class and play with Law of Detachment by comparing the school handbook and what happened in her office. Finally, we’ll walk around school and make observations of either inductive or deductive reasoning.

Thoughts?! Revisions?!


4 thoughts on “Geometry Idea for Inductive & Deductive Reasoning

  1. Laveta Rozier

    What would happen if you solely used one hand/used both hands?
    In faculty, Riemann started to take stride underneath the wing of his professor, Carl Friedrich Gauss (ranked as one in all History’s most influential mathematicians) .

    You don’t need to only get the same answer everytime.


  2. romathio Post author

    Thanks for the replies. I need to blog a follow up, just haven’t had time. I’m not sure what “prisoner’s dilemma” means – would need more details. Also, planning to use the DirectTV commercial this week – thanks for the suggestion Barbara.


  3. epscholz

    You idea really got me thinking… Instead of going to the Dean, how about acting out the prisoner’s dilemma. Pick two kids to be the prisoners. Pick two interviewers. You are the judge and let the class know what the sentence is for both prisoners. You announce the sentence of both students to the class and they have to apply the laws. Thoughts?


    1. barbarawmadden

      Love the Law of Syllogism! I have assigned a Law of Syllogism project based on the Direct TV commercials. The kids come up with some creative stuff. Also, I would tweak epscholz’s idea to NOT have prisoners. With today’s PC climate, I would be concerned with a kiddo going home all excited about being a prisoner and parent’s reaction. 🙂



Leave a Reply

Fill in your details below or click an icon to log in: Logo

You are commenting using your account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s