How to Emerge Mathematical Behaviours Through Questioning
Recently, I received an email from an educator asking me about a particular behaviour of addition that a student in their class had noticed and wondered why. The teacher had an amazing idea for this student to make sense of the behaviour they had encountered while exploring, but I wonder how many other students may have completely missed this particular behaviour?
In this video, we unpack How to Emerge Mathematical Behaviours Through Questioning with intentionality to ensure that all students ‘bump into’ essential understandings for number sense, operations and beyond. Plus, we’ll share a resource that you can use to ensure that you’ll be intentionally emerging mathematical behaviours for all of your students to encounter and grapple with.
In particular, you’ll learn:
- Why it is important to emerge mathematical behaviours through questioning in math class
- What property of addition this particular student was interested in learning more about
- Other properties of addition and multiplication that are worth emerging; and,
- How to access free problem-based math lessons on the https://makemathmoments.com website.
Resources Related To The Video
- Visit problem based math lessons
- Want to up your teaching pedagogical and content knowledge game? Join our Make Math Moments Teacher Academy!
Want to Run Problem Based Lessons Without a Hitch In Your Classroom?
Head over to the Make Math Moments 3-Part Framework page to dive right in or click below to download the guidebook to take with you!
DOWNLOAD THE 3-PART FRAMEWORK GUIDEBOOK
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LESSONS TO MAKE MATH MOMENTS
Each lesson consists of:
Each Make Math Moments Problem Based Lesson consists of a Teacher Guide to lead you step-by-step through the planning process to ensure your lesson runs without a hitch!
Each Teacher Guide consists of:
- Intentionality of the lesson;
- A step-by-step walk through of each phase of the lesson;
- Visuals, animations, and videos unpacking big ideas, strategies, and models we intend to emerge during the lesson;
- Sample student approaches to assist in anticipating what your students might do;
- Resources and downloads including Keynote, Powerpoint, Media Files, and Teacher Guide printable PDF; and,
- Much more!
Each Make Math Moments Problem Based Lesson begins with a story, visual, video, or other method to Spark Curiosity through context.
Students will often Notice and Wonder before making an estimate to draw them in and invest in the problem.
After student voice has been heard and acknowledged, we will set students off on a Productive Struggle via a prompt related to the Spark context.
These prompts are given each lesson with the following conditions:
- No calculators are to be used; and,
- Students are to focus on how they can convince their math community that their solution is valid.
Students are left to engage in a productive struggle as the facilitator circulates to observe and engage in conversation as a means of assessing formatively.
The facilitator is instructed through the Teacher Guide on what specific strategies and models could be used to make connections and consolidate the learning from the lesson.
Often times, animations and walk through videos are provided in the Teacher Guide to assist with planning and delivering the consolidation.
A review image, video, or animation is provided as a conclusion to the task from the lesson.
While this might feel like a natural ending to the context students have been exploring, it is just the beginning as we look to leverage this context via extensions and additional lessons to dig deeper.
At the end of each lesson, consolidation prompts and/or extensions are crafted for students to purposefully practice and demonstrate their current understanding.
Facilitators are encouraged to collect these consolidation prompts as a means to engage in the assessment process and inform next moves for instruction.
In multi-day units of study, Math Talks are crafted to help build on the thinking from the previous day and build towards the next step in the developmental progression of the concept(s) we are exploring.
Each Math Talk is constructed as a string of related problems that build with intentionality to emerge specific big ideas, strategies, and mathematical models.
Make Math Moments Problem Based Lessons and Day 1 Teacher Guides are openly available for you to leverage and use with your students without becoming a Make Math Moments Academy Member.
Use our OPEN ACCESS multi-day problem based units!
Make Math Moments Problem Based Lessons and Day 1 Teacher Guides are openly available for you to leverage and use with your students without becoming a Make Math Moments Academy Member.
Partitive Division Resulting in a Fraction
Equivalence and Algebraic Substitution
Represent Categorical Data & Explore Mean
Downloadable resources including blackline masters, handouts, printable Tips Sheets, slide shows, and media files do require a Make Math Moments Academy Membership.
Use our OPEN ACCESS multi-day problem based units!
I would like to learn more about emerging mathematical behaviors.