Number Talks: Focusing in Computational Fluency Core Mathematics Partnership Building Mathematical Knowledge and High-Leverage Instruction for Student Success Thursday Sept. 24, 2015 We got the kids talking...

Use your number talk log as a reference. Sharing Number Talks Use your number talk log as a reference. Work in your triad to share out two of your number talks. What mathematics did you want to surface? How did students respond? Where do you want to go next?

As a table group complete the Frayer model. Will they be able to say what it is “not”??

Learning Intention and Success Criteria We are thinking about how purposefully designed computation problems can support multiplicative thinking. We will be success when we can use a dot image help students make sense of strategies that might support multiplicative thinking.

Using Dot Images To Develop Additive and Multiplicative Thinking

Turn and Talk What evidence might you be listening for to demonstrate students are thinking multiplicatively? How might these conversations help all students start see multiplicative relationships?

How many dots did you see? How did you see them? Many different ways we could use this image? 12x7 - understanding multiplication (2x12)+(3x12)+(2x12) - focus on groups of and distributive property. (4x3)x7 If we kept with the focus of building computational understanding of 12 x 7? How could we scaffold a series of number strings or dot images to help students see efficient, accurate strategies to help them make sense of 12 x 7? How do we record student thinking to help all students follow a strategy?

How many dots do you see? How do you see them?

Using Dot Images to Focus On Relationships Y One purpose of number talk is for students to focus on relationships to develop efficient, flexible strategies with accuracy. Accuracy - ability to produce an accurate answer Efficiency - ability to choose an appropriate, expedient strategy for a specific computation problem. Flexibility - ability to use number relationships with ease in computation.

Select – Plan – Try with your class 1. Select a number pattern at your table. 2. Work with a partner to study a dot image. (adapt to your grade level if necessary) What relationships would surface? What might you want to highlight? How would the image support computational fluency? Pass out images

Learning Intention and Success Criteria We are continuing to build understanding about the purpose of Number Talks and how purposefully designed computation problems can support strategies to understanding of operations. We will be success when we can use a dot image help students make sense of strategies that might support multiplicative thinking.

Disclaimer Core Mathematics Partnership Project University of Wisconsin-Milwaukee, 2013-2016   This material was developed for the Core Mathematics Partnership project through the University of Wisconsin-Milwaukee, Center for Mathematics and Science Education Research (CMSER). This material may be used by schools to support learning of teachers and staff provided appropriate attribution and acknowledgement of its source. Other use of this work without prior written permission is prohibited—including reproduction, modification, distribution, or re- publication and use by non-profit organizations and commercial vendors. This project was supported through a grant from the Wisconsin ESEA Title II, Part B, Mathematics and Science Partnerships.