Error Analysis

Appointment Clock

by Jon Orr

In class today we practiced, error-checked, discussed solutions, got peer feedback, got teacher feedback, smiled, laughed, and cringed. Today’s class was supposed to be boring. We were supposed to just practice solving polynomial and rational inequalities. Boring right?

A few years ago I saw an activity structure called Appointment Clock from an English teacher in my district. It was one of those structures you see at a PD day and think… “that’s kinda cool” and then the weekend happens, and by Monday it’s gone. For some reason, this weekend, years later….it popped back into by brain.

To start all students got an appointment clock handout.

They were given two to three minutes to circulate around the room and schedule “an appointment” at the indicated times. 

Next, they were given ONE inequality (list of inequalities) and about 7 or eight minutes to solve it. They were to write the solution to their inequality on the handout and keep it hidden from the other students. They were to check their solution using Desmos. I circulated to help anyone who needed it. “Now, this inequality is YOUR inequality….you are the master of this one.” Once everyone was ready, I announced, “Get up, and move to meet with your 2 o’clock appointment. Show your new partner your inequality. Complete their problem in your notes and check with them to verify your answer.” I gave them 7 minutes. This is where great stuff happens. They check with each other to find mistakes, get feedback, improve. After the 7 minutes or so, I announced, “Now, meet with your 10 o’clock appointment and repeat the procedure.” The structure is very much like Speed Dating

We did this for the entire class. Every minute was worth it!

At no time was practicing solving polynomial and rational inequalities boring. Not today!

 

 

Error Analysis & Explain Everything

by Jon Orr

IMG_3146If you have read my previous posts(here, here, and here) on Explain Everything ….you’ll know  I love it, and know that I love it because it’s so versatile!

Last year I created/used a series of warm ups or openers or minds on activities (or any other name) in my Advanced Functions class that used iPads:

  1. Daily Desmos – Matching
  2. Sorting/Matching functions to equations activities in Explain Everything
  3. Whiteboard Share – Complete a problem in Explain Everything and AirPlay to Apple TV. Discuss.
  4. Complete a new problem in Explain Everything with a video Hint built in.
  5. Video Critique – Find the Error – Error Analysis.

This last one I want to discuss here.

That opener was a way for me to check homework ….really, a way for me to check understanding of the previous day’s work.

I used Explain Everything and created a file with videos of solutions with errors in them. Instructions were built in to the file that asked students to identify if the solution had an error or not, and if an error existed they were to record themselves fixing the error.

After using this for quick checks last year I decided to make it a full peer editing lesson this year in my Function class (3U).

Students grab the pre made EE file from a shared folder in Google Drive, watch videos of solutions to the previous day’s content, decide which, or if any have errors, then fix them. After recording their new solution right in the EE file they can play their new solution for the whole class to see via Apple TV or upload the EE file to our shared Google Drive folder for peers to download, view and critique.

IMG_3147

Since we are always exporting as an .xpl file students will import those same files and then be able to edit/critique (record) over top of the existing work.

It was awesome to see students recognize common mistakes and yell out “nope that’s wrong!” Or “I think that one’s OK”. It was equally great to see them watch eachothers “new” solutions and critique them the same way they critiqued mine.

Definitely a type of lesson I’ll repeat, probably on next review day.

Read more awesome ways to use EE.

Kyle Pearce’s —- Explain Everything Math Learning Journey 1 & 2

MathyCathy’s —- Hands On Digital Puzzles