## Tuesday, August 19, 2014

### Regular Class work is so Helpful.

I find that a regular activity is a good thing. The students look at it as a useful digression and happily go about working on it ... then they realize it fits right in with what you've been doing.
@fawnpnguyen: "I was brainstorming with a couple of 6th grade math teachers at another district, and we were listing out a possible warm-up/math talk schedule, something like Monday: number talk; Tuesday: visual pattern; Wednesday: estimation 180; Thursday: fun fact, or WYR, or Keeping Skills Sharp, or SBAC/review question; Friday: personal reflection.
Here are a couple of those ideas and one or two others:

Estimation180 - building number sense by estimating values from images or video. This is valuable because so often we say "Does that answer make sense?" If the students have little to no experience with the subject of the question, and no practice making estimates, then answering our "Sense?" question is an exercise in random answer generation.

One Hundred and One Questions - An image or video is presented and students ask any question that comes to mind. While I personally wish the prompt was "What math question comes to mind here?", it is a good place to help them develop the ability to ask questions of the world round them and to see that math isn't just a classroom activity. Browse beforehand and record the links of the ones that fit your current material or your mood.

Math Arguments 180 - The goal is to have students question their assumptions and bring those assumptions to the front of their minds for conscious consideration instead of letting them hold on to common misconceptions that mess up their thinking.  Still in the development stages. The Math Concepts Challenge is also for teachers, though your students might be charged up for it.

Visual Patterns - Practicing the art of understanding the pattern and setting an equation to it in order to predict the value at step 43. I've been thinking it needs more patterns that aren't straightforward linear functions, but if that's the age you're working with then here is a bunch.

Math Talks - Prompts for discussion with your students.

Would You Rather? - students are presented with a choice. They choose and then have to justify their choice. "Would you rather have a bag of nickels that weighs as much as you do or a stack of quarters as high as you are?"

Graphing Stories - a video is shown and the students need to create a graph of some data from it. The video contains a graph blank that shows the independent and dependent variables. Usually, these are time-series graphs of height or altitude, but if you only show the "action" portion, you can have them graph whatever quantities that come to mind.

The UVM Math Contest - Problems from the University of Vermont High School Math Contest. These are given in the spring of Pre-Calculus and are meant for mature students who have had a good algebra II background. These questions are to be solved without a calculator or technology of any kind; figuring out the method is the whole point. Attempting a whole test in the allotted two hours would challenge even the best math teachers. Scores of 15 out of 41 are considered excellent.