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?)
Grade 9: The Line
Grade 10: The Parabola
Grade 11 and beyond : Functions
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...)
Rise and fall and return back to starting point again.
The rapid rise of Ebola cases can be modeled with an exponential function.
When students ask if it counts answer :
"It counts for learning"!
Mindset and Anxiety
What made the task difficult?
Was she able to do the question?
How does this relate to our students?