Whittier EdTechTeam Custom Summit

Redefining Mathematics Pedagogy with Contextual Tasks & Technology

Tuesday August 1st, 2017

Thank you for joining me for some math geekery at the Whittier California EdTechTeam Summit! Please feel free to utilize the resources related to the day below for your future use. As always, please don’t hesitate to reach out in the future!

Session #1: Sparking Curiosity to Promote Inquiry and Productive Struggle

During the first session of the morning, we discussed more strategies to spark curiosity in order to promote inquiry and productive struggle.

The task we focused on during this session was the Counting Candies 3 Act Math Task:

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After introducing the task, we also added a Desmos Custom Activity to the mix:

[DESMOS] Counting Candies 3 Act Math Task

Counting Candy Desmos Activity Builder Activity

This activity supports the Counting Candies 3 Act Math Task in order to introduce the idea of systems of equations.

Access this activity in the following ways:

Session #2: Making Math Contextual, Visual and Concrete

Before jumping into the task, we discussed the two groups of students I (unintentionally) created in my class and the possible commonalities between students in both groups.

We also spent some time discussing the problem with rushing to the algorithm and used the Keurig Instant Coffee Maker commercial as a prime example of the rush to the algorithm.

The task explored during this session was the Stacking Paper 3 Act Math Task:

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Keep in mind that you might consider using Google Sites as an option to deliver this task:

Access Google Site

You can also read a blog post about creating interactive tasks with Google Sites here:

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I shared a Google Doc with a couple additional options as well such as Desmos Custom Activity Builder, Knowledgehook Gameshow, Recap! and GoFormative.

Session #3: Creating Interactive Math Learning Journeys

In this session, we explored the Four Stages of Learning (or Four Stages of Mastery), as I like to call them.

I then shared my vision for mathematics education that I have been refining for the past five years. Here is what it looks like currently:

Mathematics Vision - A Math Lesson in 4-Parts - Contextual, Visual and Concrete

We then jumped into a 3 act math task called “Walk Out“:

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After introducing the initial video and giving some time for you to notice and wonder, we soon added in a digital tool called Knowledgehook Gameshow to make the process interactive. As I mentioned in the session, I would spend time without any digital tool when introducing 3 act math tasks in your classroom to build a community of mathematical thinkers and discourse.

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We also explored how we can use Explain Everything and Desmos to make Interactive Math Learning Journeys:

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Another Desmos Activity we explored was Marbleslides: Lines.

[DESMOS] Marbleslides: Lines

Desmos Marbleslides - Lines

This activity supports the Counting Candies 3 Act Math Task in order to introduce the idea of systems of equations.

Access this activity in the following ways:

Note that they have other Marbleslides versions including:

Other Useful Math Tasks and Tools:

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The Stacking Paper Tasks are also available on iOS as a multi-touch book for iBooks:

Stacking Paper Tasks Multitouch Book for iBooks

Grab It!

Learn more about what’s inside the multi-touch book here.

Or, consider accessing these tasks in an interactive way via Google Sites.

3 Act Math Tasks: Curious Math iTunes U Course

Access over 30 tasks with all resources downloaded directly to your iOS Device to avoid streaming media in your classroom through the Curious Math iTunes U Course:

3 Act Math Tasks - Curious Math iTunes U Course

Enrol in Course

[DESMOS] Function Carnival

Desmos Function Carnival Activity

Access this activity in the following ways:

[DESMOS] Polynomial Equation Challenges

Desmos Polynomial Equation Challenges

Access this activity in the following ways:

[DESMOS] Polygraph: Parabolas

Desmos Polygraph Activity

Access this activity in the following ways:

Other interesting Desmos Activities to Explore:

Will It Hit THe Hoop? Dan Meyer 3 Act Math Task Desmos Activity

Will It Hit The Hoop? – Dan Meyer 3 Act Math Task
Try as a student: Desmos Activity (Code: nax6)
Use this activity with your own class by clicking here.

Parallel and Perpendicular Lines

The Detention Buy-Out: Solving Systems of Equations

Other Useful Courses to Check Out:

Learn Pythagorean Theorem Through Exploration – Kyle Pearce
Stacking Paper Tasks – Kyle Pearce
Beautiful Functions – Jon Orr

OR, you don’t want to download Jon’s Beautiful Functions book? Check out all of the links here on his blog.