Standards for Mathematical Practice and the

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Standards for Mathematical Practice and the Science & Engineering Practices Part Three: Communication & Argument Wednesday, August 13, 2014 Presented By Sara Delano Moore, Ph.D. Director of Mathematics and Science at ETA hand2mind Join our community: Implementing Common Core Standards in Math www.edweb.net/math

Implementing Common Core Standards in Math Join our community Implementing Common Core Standards in Math www.edweb.net/math Invitations to upcoming webinars Webinar archives and resources Online discussions CE quizzes for archived webinars The recording, slides, and chat log will be posted in the Resource Library under Web 2.0 Tools.

Learn more at hand2mind.com/STEMinAction

Webinar Tips For better audio/video, close other applications (like Skype) that use bandwidth. Maximize your screen for a larger view by using the link in the upper right corner. A CE certificate for today’s webinar will be emailed to you 24 hours after the live session. If you are viewing the recording, you will need to take the CE quiz located in the Resource Library of the community. Tweeting? Use the hashtag #edwebchat

Standards for Mathematical Practice and the Science & Engineering Practices Part Three: Focus on Communication & Argument Wednesday 13 August 2014 Sara Delano Moore, Ph.D. Director of Mathematics and Science ETA hand2mind smoore@hand2mind.com

Summer Series Focus on the Practices Standards for Mathematical Practice Science & Engineering Practices June 24 - Focus on Developmental Progressions July 16 – Focus on Problem Solving August 13 – Focus on Communication and Argument

Standards for Mathematical Practice Make sense of problems & persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments & critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for & make use of structure. Look for & express regularity in repeated reasoning.

Science and Engineering Practices Asking questions (for science) and defining problems (for engineering). Developing and using models. Planning and carrying out investigations. Analyzing and interpreting data. Using mathematics and computational thinking. Constructing explanations (for science) and designing solutions (for engineering). Engaging in argument from evidence. Obtaining, evaluating, and communicating information.

Developmental Progression How do students progress around communication & argument skills? Size/scope of vocabulary Writing & speaking skills Mathematical/scientific understanding Ability to construct an argument

What is an argument? Expressing a point of view on a subject and supporting it with evidence UNC Writing Center A reason or set of reasons given with the aim of persuading others that an action or idea is right or wrong Oxforddictionaries.com A mathematical proof is an argument that convinces other people that something is true. UC Berkeley Mathematics Department handout A scientific argument is a logical description of what we think and why we think it. UC Berkeley Understanding Science web site

Elements of Scientific Argument Ideas - hypotheses Expectations – predictions based on ideas Actual Observations – evidence Constructing an Argument What would we expect to see if this idea were true? What do we actually see? Do our expectations match our observations? http://undsci.berkeley.edu/article/coreofscience_01

MP 3 Construct viable arguments & critique the reasoning of others Students can Develop a logical progression of statements Recognize and use counter-examples Analyze situations by breaking them into cases Ask useful questions to clarify or improve the argument

What tools can students use? Language Mathematics Charts/graphs/diagrams Models/Prototypes

What about evaluating evidence or critiquing arguments? What’s important in classroom culture? Trust Mistakes are valued Think time What skills must students have?

Better arguments in school Modeling good arguments Practice creating arguments Teacher questioning What do you notice? How do you know? Is that true every time?

Type your questions in the chat window. Q&A Type your questions in the chat window.

Implementing Common Core Standards in Math Join our community Implementing Common Core Standards in Math www.edweb.net/math Invitations to upcoming webinars Webinar archives and resources Online discussions CE quizzes for archived webinars The recording, slides, and chat log will be posted in the Resource Library under Web 2.0 Tools.

Join us for the next webinar! Tuesday, September 9th at 4PM Eastern Time What is Formative Assessment? Part 1 of Formative Assessment Series Join the Implementing Common Core Standards in Math community for an invitation! www.edweb.net/math

Thank you! www.hand2mind.com