Until Learning Goals have been met, repeat the process as needed

A Crash Course to Creating a PBL and Constructivist Mathematics Learning Environment

In this presentation I have concisely gathered the key components to effective mathematics teaching based on research study for Mathematics Intermediate Qualification course. I have attempted to illustrate how these key components will look for a teacher. Should you wish to further investigate or discuss a specific area presented, or have questions please ask.

Learning Goals &
Big Ideas

To begin teachers plan units with the overall expectations, specific expectations, learning goals and BIG IDEAS in mind.

Co-Created Success Criteria

Watch this video to see how
teachers plan with the learning
goal and success criteria in mind.

Using student examples, and with the teachers learning goals and BIG IDEAS in mind, co-create with students success criteria.

Problem Based Learning

This is where the problem based learning (PBL) and constructivist begin. Students are given open questions and parallel tasks where they can have multiple entry points (DI) while deriving their own methods for solutions.

Here is a great article by Marian Small that demonstrates
a great example of open questions and parallel tasks.

d

A 3 part lesson is used to introduce
problems to students. Watch this video
for a better understanding of the 3 part lesson.

-Feedback is Assessment for learning
and one of the most important tools in
student learning
-It refers back to the success criteria

Watch this video on the importance of feedback.

Consolidation

-This is where the class talks about
student mathematical thinking and strategies (constructivist)
-Connects ideas back to learning goals
-Teachers can explicitly teach BIG IDEAS

Here is a great video
by Marian Small that addresses
the importance of mathematical
thinking and consolidation.

Tool Kit

Tool Kit

After students have tackled a problem
now you can teach tools and strategies to help them solve problems efficiently.
-i.e. strategies, procedures within context of the problem to become more efficient in doing math

Students can practice tools and strategies
taught and now have a context of where these tools might be used. These can also be differentiated depending on the learner.

Growth Mindset

Subtopic

At the centre of the PBL and Constructivist
learning models is the idea and classroom culture of a growth mindset. Watch Jo Boaler describe a growth mindset vs. a fixed mindset

Thank you for taking the time to participate
in this presentation. Should you have questions or ideas about anything you have seen in this presentation do not hesitate to ask.