Blog
A collection of important articles and ideas.
Ep 147: The Area Model to Build Reason
Episode 147 of my podcast, Math is Figure-Out-Able with Pam Harris, is all about using area models to building intuition with the square unit of measurement for area.
I start off by modeling a problem string with...
Developing Mathematical Reasoning Part 4
Throughout this series we have discussed each of the stages of the Development of Mathematical Reasoning. In order to identify where students are in their development and to nudge them to more...
Why Doesn't Everyone Teach Real Mathematics?
Have you taken THE QUIZ?
We can only change what we know.
In the quiz post, I make the case that our perceptions of what mathematics is and what it means to teach mathematics influence the way that...
Strategies vs. Models
When I travel around the country and visit teachers in classrooms, one of the things I notice is that the word strategy and model are sometimes used interchangeably.
What is the difference between a ...
Problem String Videos!
Hey fellow mathematicians!
Many of you will be happy to know that what you have been asking for is now available - video of teachers in REAL classrooms with REAL students. We provide these to you for free, but...
The Development of Mathematical Reasoning Part 3
Answer Getting vs. Brain Building
Since I posted the graphic and blogs about the Development of Mathematical Reasoning, I have gotten questions.
One of those questions is: But Pam, why isn’t it okay to...
The Development of Mathematical Reasoning
Check out this exchange I recently had on Twitter. I was discussing frustrations of middle school teachers:
Have you ever felt like this Tweet, that you don’t have the time to teach your content and all of...
Count Around
Watch a Count Around In Action
For types of questioning and example discussion, watch master teacher and workshop presenter Kim Montague facilitate a Count Around with a group of elementary teachers.
When you...
I Have, You Need
“I Have, You Need” is a quick but powerful instructional routine to help kids construct the very important numerical relations of partners of 10, 100, and 1,000. To learn more, download a...
I Have, You Need - Part 2
Listen to Kim as she explains to teachers about the "I Have, You Need" routine and why it is so important.
How could you apply this routine in your classroom?
Miss part one of this series? See it here.
Author
Pam Harris
Math Educator
Pam Harris is a mom, a former high school math teacher, a university lecturer, an author, and she wants to change the way we view and teach mathematics. While Pam was teaching high school math, her four children grew and mathematized their world in a way she had never imagined. “I had always bought into the myth that math is a disconnected set of facts to memorize, with rules and procedures to mimic. I now call that fake math.” Pam’s own kids, research, and experiences teaching real math have shown her what it means to mathematize and to support learners in their own journeys. Real math is thinking mathematically, not just mimicking what a teacher does on the board. You can shift your brain from using rote memory to mathematizing. Pam helps teachers make this shift for themselves, and helps teachers teach in a way that supports students to learn real math.
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