## Redefining Mathematics Pedagogy with Contextual Tasks & Technology

### Monday August 14th, 2017

Thank you for joining me for some math geekery at the **San Francisco Unified School District (SFUSD) Digital District Day 2017**! Please feel free to utilize the resources related to each day below for your future use. As always, please don’t hesitate to reach out in the future!

## 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:

## Stacking Paper [3 Act Math Task]

### How many packages of paper will it take to reach the ceiling?

Real World Math in Proportional Reasoning and Linear Relations Here's a new Real World / 3 Act Math Task that is related to proportional reasoning and a direct variation linear relation with a partial variation sequel to boot! Please note that this is part one of three tasks in a series: Stacking Paper - Direct Variation (y-intercept equal to 0) Stacking Paper Sequel - Partial ...

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

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

## Creating Interactive Math Tasks With Google Sites

Recently, I wrote a post summarizing the Stacking Paper Tasks multi-touch book for iBooks. If you had a chance to download the multi-touch book, you'll notice that it is interactive and collaborative leveraging embedded padlet walls for students to share out their work. However, I've had some folks on Twitter asking how they could do something like this without an iPad: @MathletePearce Any sug...

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

## Session #2: Sparking Curiosity to Promote Inquiry and Productive Struggle

During the second 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:

## Counting Candies [3 Act Math Task]

### How many candies should each person get?

Working With Fractions To Find Unknown Values In this task, students see a bunch of candies poured on the table. How many candies should each of four people receive if you know how many there are in two thirds of the whole? Act 1: Introduce the Problem https://youtu.be/S74d7yFoPG4 What's the question? In this case, we're looking at: How many candies should you receive if ...

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

## [DESMOS] Counting Candies 3 Act Math Task

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:

- As a student to try the activity.
- As a teacher to create your own session for your class.

## Making Better Math Activities (Secondary) for iPads

During this session we explored some tools such as Explain Everything, including an overview of the app and how we might use the app to create an Explain Everything Learning Journey“:

## Explain Everything Math Learning Journey

Exploring Geometry By Discovering Angle Relationships *Wed Apr 8, 2015* - The Explain Everything Project File has been updated to correct an error. The Geometry portion of the grade 9 applied course is one that I have always struggled to make meaningful for my students. The curriculum has students exploring angle theorems, but really never goes deep enough for finding these angles to be...

Here’s a second example.

We then dove into Desmos and spent some time in the graphing calculator, using a polygraph and activity builder.

Other Desmos Activities you might be interested in:

## [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:

- As a student to try the activity.
- As a teacher to create your own session for your class.

Note that they have other Marbleslides versions including:

Another idea might be to use Google Sites to create your Math Journeys like the one below:

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

## Creating Interactive Math Tasks With Google Sites

Recently, I wrote a post summarizing the Stacking Paper Tasks multi-touch book for iBooks. If you had a chance to download the multi-touch book, you'll notice that it is interactive and collaborative leveraging embedded padlet walls for students to share out their work. However, I've had some folks on Twitter asking how they could do something like this without an iPad: @MathletePearce Any sug...

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

## Making Better Math Activities (Secondary) for Chromebooks

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:

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

## Walk Out [3 Act Math Task]

### What does the distance-time graph look like?

Introducing Distance-Time Graphs & Graphing Stories This 3 act math task was created as a simple, yet powerful way to introduce distance-time graphs and other various graphs of linear and non-linear relationships between two variables. In particular, I'm looking to address the following specific expectations from the grade 9 math courses in Ontario: Grade 9 Applied LR4.02 & Grade 9 Acade...

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.

## Check Out @Knowledgehook’s FREE Gameshow Assessment Tool!

A Free Gamified Clicker Tool With Ready-Made Content! Knowledgehook’s Gameshow Beta Tool is a FREE Gamified Online Assessment Tool that does more than what Google Forms, Socrative and Kahoot can do by pushing the bar up with level-up experience (XP) points as well as FREE content teachers can use to run ready-made gameshows or customize their own! While this is just the beta version, I am impr...

I hope you enjoyed the professional learning today at **San Francisco Unified School District (SFUSD) Digital District Day 2017** as much as I did! Looking forward to learning with you all again sometime in the future!