What is in the Workshop?
Module 1: What is Mathematical Reasoning?
What Will I Learn?
- What "Math is Figure-Out-Able" means, what is real math, and what it means to mathematize
- How to help students think like young mathematicians
- Why it is important to develop reasoning, not just get answers
- How to use the instructional routine "I Have, You Need" to build important relationships in students' brains
- 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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Module 2: Building Models for Multiplicative Thinking
What Will I Learn?
- What Multiplicative Thinking can look like
- How to use a Rich Task to assess student understanding, build multiplicative reasoning, and develop a powerful model at the same time
- Important place-value understandings of our complex base-10 place value system
- How to use Ratio Tables and Open Arrays to model multiplication strategies
- A Problem String to help students progress from a Closed Array to the Open Array model
- Where and how algorithms fit into instruction and practice
Why Is This Important?
Students need to develop the major models for multiplication and division as visual representations of numerical and spatial relationships. Students also need to transition to use those models as tools for thinking. Teachers need to know the progression of models, which ones to use with each string and in what order, and how to model-represent student thinking.
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Module 3: Building the Major, Important Multiplication Strategies
What Will I Learn?
- Each of the five, major, important multiplication strategies
- How to use Problem Strings to develop each of the major strategies
- When and how to build the properties on which the strategies are based
- How to represent student thinking on open arrays and ratio tables
Why Is This Important?
You can solve any problem, that's reasonable to solve without a calculator, by using one of the five, major, important strategies. It's not about a huge, undefinable set of strategies. Rather, it's about building relationships in students' heads so that these strategies become natural inclinations. Students look at the problem and let the numbers dictate the strategy based on the inherent relationships.
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Module 4: Models and Strategies Working Together
What Will I Learn?
- How to use a Problem Talk to evaluate multiplicative strategies
- To choose the best strategy based on the numbers
- Where and how the traditional algorithm fits in instruction and practice
- To clarify the difference between strategies and models
Why Is This Important?
This module brings strategies and models together. You will solve one problem using all of the major strategies and models, comparing which works better and why. You will consider groups of numbers and decide which strategies work well for which groups. You will make a flow chart of which strategies and sequences of strategies to consider when.
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Module 5: Top 3 Lesson Types for Student Success
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 implement to take action in your classroom
Why Is This Important?
This is the how-to-do-it module, allowing you to ensure success for all your students all of the time.
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Module 6: Expert Teacher Moves that Help You Help Your Students
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?
In this module, you’ll learn the high level teacher moves that make the learning happen like a pro.
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Module 7: (Optional) Single-digit facts and Higher Math
What Will I Learn?
Single-digit facts:
- Specific tasks and games to help students automatize the single-digit facts
- How to create personal flash cards sets with specific clues for students
- Important early models and strategies
- Pitfalls to avoid
Higher math extensions:
- BONUS Middle school multiplication strategy that helps students do all of the fraction work
- BONUS High school multiplication strategy
- How multiplicative reasoning links to and supports Polynomial multiplication
Why Is This Important?
No matter what grade you teach, this module has something for you. Single-digit fact mastery is probably one of the biggest, misunderstood and damaging things that is happening right now in math classes around the world. We need to get this right and this module delivers.
Also, when teachers of higher math learn all about multiplicative reasoning, it impacts what they teach. Learn some higher math multiplication strategies and polynomial multiplication done right.
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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.
