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Utah Council of Teachers of Mathematics

2025 Annual Conference

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Bridging Understanding:
Connecting Representations in K-8 Mathematics

In this interactive session, we'll explore the power of using multiple representations—physical, visual, symbolic, verbal, and contextual—to deepen student understanding of K-5 mathematics. Participants will learn strategies for effectively using and connecting these representations as tools to observe and assess student thinking, identify misconceptions, and guide instruction. Through hands-on activities and guiding questions, teachers will gain practical tools for fostering a more comprehensive mathematical understanding in their classrooms.

Tuesday, January 28th

Planning guide to support with using multiple representations. 

Tuesday, January 30th

Using Progressions and Learning Trajectories 
to Guide Intervention in Multiplication and Division

Explore a mathematical task and examine where multiplication and division concepts and skills fall in standards and in research on how children develop mathematical understanding.

See how learning progressions and learning trajectories are each uniquely helpful in planning for and providing mathematics intervention for students in the elementary grades.

Using Progressions and Learning Trajectories 
to Guide Intervention in Multiplication and Division

Explore a mathematical task and examine where multiplication and division concepts and skills fall in standards and in research on how children develop mathematical understanding.

See how learning progressions and learning trajectories are each uniquely helpful in planning for and providing mathematics intervention for students in the elementary grades.

NOTE CATCHER

Make a copy of the Note Catcher for a  one-stop place to access handouts and take guided notes. 

SLIDES

Access the

PDF of the

presentation

slides. 

HANDOUTS

Access copies

of individual

handouts here. 

RESOURCES

Explore references and additional resources to enhance your learning from the session. 

Thank you for attending! 

See materials from previous years below.

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Utah Council of Teachers of Mathematics

 2023 Annual Conference

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Using Progressions and Learning Trajectories to Guide Intervention in Addition and Subtraction

This session will focus on the progression of content standards and the pathways students may take to become proficient in addition and subtraction. We will engage in a mathematical task involving addition and subtraction, unpack the concepts and skills used in the task, and examine where those concepts and skills fall in the standards as well as in the research on how children develop mathematical understanding. We will examine both learning progressions and learning trajectories focusing on how they each are uniquely helpful in planning for and providing mathematics intervention for students in the early grades. 

Girl taking note next to a laptop

Note Catcher 

Make a copy of the Note Catcher for a one-stop place to access handouts and take guided notes. 

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CLICK HERE

Slides

Access the PDF of

presentation slides. 

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CLICK HERE

Empty Classroom Desks
Files

Individual Handouts

Access copies of individual handouts here. 

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CLICK HERE

Additional Resources

Explore additional resources to enhance your learning from the session. 

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CLICK HERE

Olson Educational Services, LLC 

Copyright © 2024

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