Professional Learning - Claireville
By: Elena Pagonis
Remembering our 7 Norms of Collaboration
2. Pausing
3.Paraphrasing
4. Probing for Specificity
5. Putting Ideas on the Table
6. Paying attention to self & others
7. Presuming positive intentions
Today's Big Ideas
Looking at math diagnostics and finding evidence of processes and math strategies
Part 2 Reviewing our EQAO data (Grade 3's)
Reflecting on "Asking Effective Questions"
Part 3 Developing a Rich Task through a 3-part lesson
Part 1
2. Examining Mathematical Strategies
3, Revisiting Balanced Mathematics Instruction through the lens of an Assessment Observation Checklist
Why do we use Mathematical Processes?
- They help make student thinking visible and permeate all math strands
- Students are actively engaged in applying these process expectations throughout all math courses and other content areas
- Processes are interconnected and interrelated, particularly Problem Solving and Communicating
- Students can monitor and reflect
Processes to help in provoking Student Inquiry
Teachers skillful questioning plays a vital role in this context, helping students to identify the thinking processes, to see the connections between ideas and to build new understanding as they work their way to a solution that makes sense to them.
(Asking Effective Questions, July 2011)
In Summary...
Although the Ontario curriculum documents for mathematics do not reference the term proportional relationships until Grade 4, activities in the primary grades support the development of proportional reasoning. For example, if we ask students to compare the worth of a group of four nickels to the worth of a group of four pennies, we are helping them to develop proportional reasoning.
Let's explore a problem as Mathematicians! Gummy Bear Problem!
Think about the activity you just did and how you could engage students in a problem solving approach using the processes?
Identifying and Describing the Mathematical Proceses
1. TDSB's Mathematical Processes
AND
2. Peel's Assessment for and as Mathematical Processes (Based on Growing Success and Math Gains and TIPS4RM)
Let's now examine some Mathematical Processes
Wellman Strategy-Got it! Need it!
Share on Padlet!
Big Picture approach
Using Effective Strategies
Principles of Counting
Different Meanings-Marion Small
What if your ABC's were your 123's?
Examining our Diagnostics & Work Samples
Examining our work
Seeing the connections between WHAT we teach and HOW we teach it
Asking Effective Questions (Capacity Building Series)
Instead of telling students what to do ...
“Never say anything a kid can say! This one goal keeps me focused. Although I do not think that I have ever met this goal completely in any one day or even in a given class period, it has forced me to develop and improve my questioning skills. It also sends
a message to students that their participation is essential. Every time I am tempted to tell students something, I try to ask a question instead.”
(Reinhart, 2000, p. 480)