Building Powerful Proportional Reasoning Online Workshop

### Middle school teachers, are you frustrated . . .

✔ by unrealistic expectations of teaching ratio and proportion to students who           don't know their facts?

✔ by new methods and models  you're expected to teach?

✔ that your students should be more successful since you are putting in so                 much effort?

## What if you could teach so students think and reason mathematically?

We got you.

This workshop is everything you need. 6 modules, 6 weeks, a powerful transformation to make a REAL impact for your students.  \$297

"If you have even one student in your class that struggles with math, then take a Pam Harris workshop."

-Christopher Peterson

West High School, CA

Building Powerful Proportional Reasoning Online Workshop

Have you ever felt frustrated that you have to teach content you were never taught to unprepared students? Do you wonder how it is that you work so hard and your students aren’t doing better?

If you’re a middle school mathematics teacher, leader, or professional learning facilitator looking to energize your teaching, then you probably already know that your students come to you unprepared, have gaps, sometimes not even knowing their multiplication facts.

By using the Development of Mathematical Reasoning to guide your decisions, you choose tasks that are open enough so that all your students can access and each are challenged.

DAYS

HOURS

MINUTES

SECONDS

# Workshop starts February 9, 2021

What is in the Workshop?

### What Will I Learn?

• What "math is figureoutable" means, what is real math, and what it means to mathematize
• How to help students think like young mathematicians
• Why proportional reasoning is an important part of mathematical reasoning
• What it means to reason proportionally
• Steps to take action in your classroom

### Why Is This Important?

This is the why, the background, the setting so that the rest of the workshop makes sense, so that you can implement lessons and strategies knowing how it all fits together.

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### What Will I Learn?

• Instructional routines to develop multiplicative reasoning and proportional reasoning at the same time
• How to extend the learning to division, decimals
• How to connect the learning to functions
• What a problem talk is and how to use it to support the learning
• Steps to take action in your classroom

### Why Is This Important?

You have students all over the map. This module helps you meet the needs of students who may not know their facts.

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### What Will I Learn?

• How to use a rich task to develop proportional reasoning
• The five interpretations of rational numbers
• Proportional reasoning with non-unit rates
• How to connect the learning to graphs
• Steps to take action in your classroom

### Why Is This Important?

This is the meat of helping students develop proportional reasoning with all of the connections — with descriptions, tables, graphs, and equations — so that you’ll be clear on how to guide students to bring it all together.

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### What Will I Learn?

• What it means to reason inversely
• How to develop inverse variation with students
• How to use relationships to solve proportions with decimals
• How to use relationships to solve similar figure problems
• The powerful model of ratio tables for solving complex proportions

### Why Is This Important?

This module helps you extend the learning so that you can help students reason proportionally with many contexts and configurations.

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### What Will I Learn?

• Rich tasks to develop concepts
• Problem Strings to introduce and solidify strategies, models, and concepts
• Problem Talks to compare strategies
• How to sequence lessons to maximize learning
• Steps to take action in your classroom

### Why Is This Important?

This is the how-to-do-it in your classes module so that you can make it happen for all of your students all of the time.

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### What Will I Learn?

• High leverage teacher moves to encourage student sense making
• Teacher moves that support equity and access
• Teacher moves to differentiate — to support and challenge all learners
• How to support meaningful discourse to facilitate learning
• Steps to take action in your classroom

### Why Is This Important?

In this module, you’ll learn the high level teacher moves that make the learning happen like a pro.

As a Participant

You will identify how the teaching of proportional reasoning has changed and why it matters so that you can base decisions on helping your students develop.

You will learn how to begin, by providing support for students who don't know their multiplication facts so that you can help students develop multiplicative reasoning and proportional reasoning at the same time.

You will extend the learning to more complicated contexts so that you can strengthen students' reasoning.

You will engage in problem solving so that you can parse out the thinking needed to solve proportional reasoning problems.

You will learn actionable strategies while engaging in the instructional routine called Problem Strings so that you can develop students' proportional reasoning and build specific mathematical strategies.

You will study three lesson types so that you can to learn to introduce, construct, and solidify proportional reasoning.

You will analyze expert teacher moves so that you can energize your classroom and keep students engaged in sense making.

# From Participants of the Live Workshop

Online Participants Think It's Great Too!

Your questioning techniques and encouragement put these students so at ease that they were willing to take risks and explain their thinking. We teachers in our classroom rarely have a chance to tweak our teaching by observing others; this unique workshop has been a golden opportunity to soak in techniques from a master teacher. So much better in many ways than a book or a short session at a math conference.

Anne Hambrick

I have always wanted to help students understand the "why" of the math they are learning. I've struggled being able to do that consistently, and well, through all of the content. I also definitely thought knowing the algorithm was more important than I do now. Looking back, it's hard to see how those two mindsets fit together.

I had a lot of a-ha moments throughout this workshop. It's hard to pick one, but I'm going to say ratio tables. I never realized how versatile they can be. I almost always go straight to a ratio table now when approaching problems. It just makes so much sense!

Teaching students to think and reason through a problem, while still covering the standards, is so doable! We often ask students if their solution is reasonable, and tell them how to "know" if it is reasonable, yet teaching how to determine reasonableness was neglected. That will soon be a thing of the past in my classrooms.

Mindee McBryde

Sharing the idea of how to reason proportionally is huge for me. I have made connections to percentages that I never saw before. It has opened my eyes to conceptual understanding that I didn’t have before.

Shawn Hershey

I loved that Pam responded directly to my posts. It felt more personal and that she was connecting with me and cared about my questions and thoughts.

Amy Kimball

I had so many times during this workshop in which I thought "I wish I were still teaching" and "I wish all of our teachers in our district could go through these courses" I used ratio tables in my classroom when I taught to help with proportional thinking, but unfortunately when I first started using them I used it as another algorithm in a way that I showed the students "how" to do it rather than letting the construct them in their own way. The more I learned about them the more I let students do the thinking, but I always get excited when working through problems like we did in this course as I look for different ways to see the problem and reason through the math.

It was really great to see the student videos. Our teachers always ask what does this look like with students or "my" students can't do that. It was evident that the students in the video were at different levels and you engaged all of them. I loved the equity map. We do a lot of equity work in our district and this will definitely be something I share with teachers.

Danielle Perico

# Peer Testimonials

This course was a perfectly curated introduction to the world of proportional reasoning. Pam Harris guides you through your own thinking, seamlessly connecting pedagogy and content to build your confidence in teaching ratios. The online platform allows you to engage with the instructor and participants while fitting the course into your own schedule. Highly recommend!

One of the most helpful things was seeing how the context could anchor and connect multiple learning structures (problem string, word problem), models, or strategies. I realized I could use middle school problem strings that build proportional reasoning to help upper elementary school teachers realize the importance of building multiplicative reasoning (and move away from the standard algorithm).

Berkeley Everett

www.mathvisuals.wordpress.com

Pam Harris’ Grassroots Workshop, Building Powerful Proportional Reasoning, is one of THE best proportional thinking courses I have ever seen – and that is a LOT coming from a University Professor talking about a non-University course! I couldn’t believe all that one could get in this course for the price – I would pay triple the retail price for all the learning that is involved!

Pam is a powerful and dynamic presenter, one who has cleverly weaved her multi-sensory approach into an online course. You will watch videos of real-live classes, read articles, learn new ways to think mathematically, and much, much more! She has also included a section that helps you, the educator, learn how to apply what you’ve learned directly to your classroom. She provides you with what to try out in your classroom and what to look for. She’s made the learning so easy for her participants that a concept that often challenges us seems easy! The Message Boards provide an integral platform for educators to network and learn together. If you love #MathStratChat, then this is right up your alley!

Overall, I am blown away by the sheer capacity of this course, from its deep connections from the top and best research in the field on proportional thinking to the learning trajectory built over the modules, you will absolutely be astounded by the amount of growth as an educator and learner you will have. Pam is right. Math IS Figureoutable.

Dr. Hilary Kreisberg,

Director of the Center for Mathematics Achievement, Lesley University

Pam Harris’s workshop Building Powerful Proportional Reasoning is a GIFT. The video clips are engaging, and I felt like I was right there in the room with Pam, as she expertly posed questions and pushed the thinking of everyone forward. I found myself laughing at times, challenged at times, and thinking about my own learning after walking away from my computer screen.

The problems and examples provided are, indeed, powerful examples of how to develop proportional reasoning. Live sessions are combined with videos showing routines and instructional moves with students. These are followed by a focused discussion around how and why those decisions are made. Participants walk away with a very clear example of teaching that they can then used to shift their own practice.

I will be recommending this workshop for all teachers working with this content, as well as for anyone interested in improving their own proportional reasoning. This workshop truly was a joyful mathematical experience for me!

Sue Loony, Ed.D.

www.samebutdifferentmath.com

## Want to be notified next time this workshop is available?

If you have heard enough and you are ready to join me in my online workshop, then click below to be notified when registration opens!

The workshop costs \$297, less than the registration cost for many large conferences and way more convenient.

I’m Pam Harris and I empower teachers to be the teacher they want to be.

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I have been working with educators for over 20 years as a classroom teacher, university instructor, and teacher trainer as well as writing books and creating resources for teachers.

As a beginning teacher, I worked hard to make lessons understandable and interesting, but I didn’t realize how much I relied on rote memorization and repeating procedures until I immersed myself in math research. This fundamentally changed the way I do and teach mathematics so that teachers and students reason mathematically, not mimic like robots.

# My Guarantees

If you complete my workshop and do not learn anything you can use in your classroom, email me at [email protected] within 10 business days of the workshop ending and I will give you a full refund.

You will feel very supported because there are live Q&A sessions to ask questions, bonus videos and materials, as well as optional activities.

I estimate an average of 3 hours of work each week for a six-week workshop. You will have access to the workshop content for 16 weeks.

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