1. Grow Beasts: Growing understanding through active engagement and inquiry 2012 National Council of Teachers of Mathematics Annual Conference April 26, Philadelphia, PA Mark Roddy, Ph.D. Seattle University

2. Objectives: Students engage in: an application of data gathering, prediction, slope, linear (and non- linear) rates of change; the use of inquiry and student choice to engage in the construction of understanding and skill; the development of positive disposition in mathematics / science. Grow Beasts: Growing understanding through active engagement and inquiry

3. How does a Grow Beast grow? Let’s take a look, shall we?look Kinesthetic -> Tabular -> Graphical -> Abstract (After AIMS “Model of Learning” http://blog.aimsedu.org/2013/05/24/learning-model-with-the-math-practices-poster/ ) http://blog.aimsedu.org/2013/05/24/learning-model-with-the-math-practices-poster/

4. Using Grow Beasts to teach math In a second grade class – measurement, data recording, prediction and estimation; In middle school – ratio, proportion, rate and slope; In high school – Inquiry, modeling, research, presentation, etc. WSMC WSMC

5. How does your Grow Beast grow?

6. Simulated Grow Beasts

7. Grow Beasts A, B and C

10. Here are your three GBs: “A” was grown in a medium salt solution (10cc/200ml) “B” was grown in warm water (~30 o C) “C” was grown in room temperature water (~20 o C) HOURS elapsed Med SaltWarm WaterJust Water begin 10AM 10/8/08 10cc/200ml30 degrees C20 degrees C 0 4.34.24.1 1 4.34.44.3 2 4.74.5 4 5.24.8 6 4.66.05.4 8 4.76.86.0 10 12124.97.46.4 12 5.08.46.9 14 5.08.97.2 22 5.311.08.1 24 5.311.58.3 28 5.412.18.7 32 5.412.59.1 37 5.612.99.4 48 5.713.610.1 50 5.813.910.3 56 5.814.210.6 62 5.814.610.9 72 5.814.811.0 ABC Grow Beasts: salt water, warm water, and just water CAB Tabular

11. Grow Beasts: salt water, warm water, and just water B C A Graphical CAB

12. To 500 ml of room temperature water I will add: somewhere between 5 and 50 cc of salt, or somewhere between 5 and 50 ml of lemon juice. Your team’s mission is to mathematical develop a mathematical model model that will enable you to accurately predict the length of the GB at 6-hour intervals for four days. How does a Grow Beast grow? Kinesthetic -> Tabular -> Graphical -> Abstract WSMC WSMC

13. Using Grow Beasts to Teach Math 5 th grade: measurement 6 th grade: ratio and rate 7 th grade: rates of change, slope and linear equations 8 th grade: more linear functions and the analysis and summary of data sets

14. Height vs stride This is an example of middle-level students exploring, exercising choice and making use of the spreadsheet, having had the kinesthetic, the tabular and so forth….

15. Mark Roddy, Ph.D. Seattle University Grow Beasts: Growing understanding through active engagement and inquiry