Building Powerful Fractions

Online Workshop

### Math teachers, are you . . .

✔ unsure how to support students who struggle to memorize?

✔ excited to learn powerful fraction strategies that don't expire?

✔ hoping to develop your own proportional reasoning?

Mastery ≠ Robotic

Mastery = Confidence

We got you.

This workshop is everything you need. 7 modules, 7 weeks, a powerful transformation to make a REAL impact for your students.  \$347

## "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

# From Participants of the Live Workshop

##### Is it really worth it?

"It helped me deepen my understanding", says Danielle.

##### Is this for middle school teachers?

Crystal says that this workshop has been life changing.

##### Isn't a live workshop better?

Astrid says that this will be eye-opening for her middle school students who still struggle with fractions.

Julie took part in the live workshop and says that the online ones are EVEN BETTER.

# From Participants of the Live Workshop

##### How did this workshop help with fractions?

"It helped me deepen my understanding", says Danielle.

##### Is it really worth it?

Crystal says that this workshop has been life changing.

##### Is this for middle school teachers?

Astrid says that this will be eye-opening for her middle school students who still struggle with fractions.

##### Isn't a live workshop better?

Julie took part in the live workshop and says that the online ones are EVEN BETTER.

## Building Multiplicative and Proportional Reasoning

Learn:

• The five meanings of a/b: part-whole, measurement, ratio, operator, and quotient

• How to help students build and recognize equivalent fractions

• The necessary models to support fraction understanding

• Problem Strings to develop relative magnitude relationships based on multiplicative concepts

# Runs September 24, 2024 - January 13, 2025. All for \$347.

What Participants Have to Say

I wish I could go back into the classroom and reteach all my former students. Fractions are our friends. We can teach them with confidence and mathematical reasoning. No more keep, change, flip unless we are cheerleaders.

Beth Roberts - K-12 math coordinator, Henderson County Schools

This workshop was fantastic! No matter where you are in your own understanding of fractions, you use what you know to find the answers, and learn how you can move reasoning and thinking forward in our students. It also demonstrated what manipulatives to use, when, and in what way. It is well worth taking.

Carole Mutton - Grades 4/5/6 Teacher Magnetawan Central School.

I was challenged to rethink our approach to "mathing". I learned more through this workshop than I did in my Masters elementary math course. I'm excited to implement problem strings with my kids and help build my thinking as a teacher and learner as well!

Chelsea Anderson - Homeschool K-7, Minnesota

This workshop showed me that there are many different ways to think of fractions. I've only thought of fractions as parts of a whole, or a mark on a number line, but this workshop opened the fraction landscape for me. Being able to use these different meanings of fractions will enable me to help my students understand fractions better.

Amy Potts

This workshop and all of the other Math is Figureoutable workshops are the best professional development on math that you can find. It not only builds your math understanding but teaches you valuable teacher moves.

Lisa Hogenmiller

Prior to the workshop, fractions were only about fair sharing and trying to remember steps to solve equations. I was completely unaware of the other meanings involved with fractions.

Christine Davis

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 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, often not prepared to learn about fractions.

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

DAYS

HOURS

MINUTES

SECONDS

# Workshop starts September 24, 2024

What is in the Workshop?

### What Will I Learn?

• What it means for math to be "figureoutable"
• How fractions fit in the overall development of mathematical reasoning
• Why it is important to develop reasoning, not just get answers
• Steps to take action in your classroom

### Why Is This Important?

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

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### What Will I Learn?

• What it can look like to think and reason about fractions
• What the difference is between relative and absolute thinking and how that affects fraction understanding
• The five meanings of a/b: part-whole, measurement, ratio, operator, and quotient

### Why Is This Important?

Students need to develop more than part-whole relationship ideas in order to develop fluency with fractions. Teachers need to know the five meanings of a/b to ensure that students get experiences with all five meanings.

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### What Will I Learn?

• Why it is important to define the "whole" or "unit" when using part-whole relationships
• Activities to help students reunitize the whole
• Ways to help students build relationships such as "half can be represented as one out of two objects, but half also means 50 out of 100 objects"
• How to help students build and recognize equivalent fractions

### Why Is This Important?

Students need to experience part-whole relationships where the defined unit changes so they can feel what it means for fractions to be equivalent. Equivalent relationships are necessary to developing fluency and flexibility in problem solving. When students can identify an equivalent fraction, they can use the fraction that best helps them solve a given problem.

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### What Will I Learn?

• What a "unit fraction" is and why it is a foundational fraction idea
• Problem Strings to build operator meaning and multiplicative relationships
• How to use manipulatives effectively with students to build relationships
• How to get students thinking about multiplying and dividing by fractions without using memorized, step-by-step procedures
• The necessary models to support fraction understanding

### Why Is This Important?

All this is aimed at providing students with many types of experiences in order to build connections and relationships. When students learn through a variety of contexts, models, and activities, they can think and reason through fraction operations instead of rote memorizing (and misapplying) step-by-step procedures.

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### What Will I Learn?

• Problem Strings to develop relative magnitude relationships based on multiplicative concepts
• How to use landmark fractions from money and clock models to add and subtract fractions without algorithms or finding lowest common multiples

### Why Is This Important?

As students build mental relationships about numbers, they can use what they know to solve problems. We need to support students as they build these relationships so they can think and reason about fractions. Fractions are figureoutable!

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### What Will I Learn?

• Three important instructional routines that support students in building relationships and sense making
• How to sequence lessons to maximize learning
• Steps to implement to take action in your classroom

### Why Is This Important?

Students need lots of experience with fractions as they build relationships and understanding. The experiences are more powerful when crafted together in purposeful ways. We want to get the most benefit of what we do in the classroom to keep students learning and progressing.

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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 implement to take action in your classroom

### Why Is This Important?

Even with all the cool activities you will learn in this workshop, it is still easy to flub a lesson. In this module, you’ll learn the high-level teacher moves that make the learning happen like a pro.

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### Live Q&A With Pam

During the workshop you will have the opportunity to submit questions to Pam for her to answer during a live Q&A. This Q&A will be recorded and you will have access to it.

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 beginner 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.

If you have heard enough and you are ready to join me in my online workshop, then click below to register now!

The workshop costs \$347, which is less than the registration cost for many large conferences and also way more convenient.

# My Guarantees

If you complete my workshop and do not learn anything that 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 2 hours of work each week for this seven-week workshop. You will have access to the workshop content for 16 weeks.