# Math Talk

### Coach's Corner by Engy Boutros

## The Big Picture

- A good math student can see the math. Seeing the math means visualizing the process, making the connections to previously learned concepts and extending the concepts to help solve unfamiliar problems.
- Our everyday life provides the context.
- We use math to help us solve problems.
- Graphical models help us analyze and look for patterns.
- Algebraic models provide a method for making predictions and looking for solutions.
- Words are translated to math in order to make analysis concise and doable.
- It is important to teach students the whys and the hows. (Procedural vs. Conceptual understanding...we should continually be asking where is the thinking in our teaching?)

## Mathematical Processes

## Grade 9: The Line

Relationships can increase at a constant rate or decrease at a constant rate.

## Grade 10: The Parabola

Things don't always increase or decrease at a constant rate. Numbers can increase and then decrease again or start off decreasing and then increase.

## Grade 11 and beyond : Functions

Guiding question:

How can we use functions to model real life data? (e.g. the motion of a swing, the rise and fall of tides, the rapid decay of radioactive substances, the growth rate of bacteria, population growth, the accumulation of interest, the depreciation of valued goods etc...)

Halls Harbour Tide, Time Lapse

## Periodic Functions Rise and fall and return back to starting point again. http://blog.mrmeyer.com/2014/confab-design-a-new-function-carnival-ride/ | ## Exponential Growth The rapid rise of Ebola cases can be modeled with an exponential function. | ## Exponential Decay |

## Periodic Functions

Rise and fall and return back to starting point again.

http://blog.mrmeyer.com/2014/confab-design-a-new-function-carnival-ride/

## Assessments

## When students ask if it counts answer :

## "It counts for learning"!

## Math Anxiety

Millionaire Math

## Mindset and Anxiety

What happened when she saw the question?

What made the task difficult?

Was she able to do the question?

How does this relate to our students?

## What our students are saying...

EQAO survey

## What teachers can do to promote a growth mindset and decrease math anxiety...

## What a positive math class looks like...

Dan Meyer on Real-World Math

## Why teaching procedures and algorithms is not enough?

Why is Math Different Now

## Students at work

## Sample Assessments

## Super Stairs

How many processes are involved in this task?