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Common Core Math Training
June 17-21, 2013
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Some Thoughts About Teaching and Learning Mathematics
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Math Myths That Many of Our Students Believe
Boys are better at math than girls. Math requires logic, not intuition. Math is not creative. It is more important to get the right answer than to understand the problem. It’s important to get the answer exactly right. There is a best way to do math problems. Some people are “math people” and others aren’t. Mathematicians do problems quickly, in their heads. Math requires you to memorize a lot of stuff. Math is done by working intensely until the problem is solved.
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Math Myths Students Believe – Translated into Teenage Thought
Boys are better at math than girls. Math requires logic, not intuition. Math is not creative. It is more important to get the right answer than to understand the problem. It’s important to get the answer exactly right. I’m a girl, so I can’t be good at math. It wouldn’t be “cool”. I’m not Spock or a nerd, so math isn’t for me. Math is dry and boring!!! Why do I have to show my work when the teacher only marks it right or wrong? The calculator has nine decimal places, so I should write all of them down.
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Math Myths Students Believe – Translated into Teenage Thought
There is a best way to do math problems. Some people are “math people” and others aren’t. Mathematicians do problems quickly, in their heads. Math requires you to memorize a lot of stuff. Math is done by working intensely until the problem is solved. I have to do it the teacher’s way or its wrong. It’s okay to be “bad” at math. I come from a long line of non-math people – its just not in my genes! If you can’t do math fast and in your head, you’re not smart at math. I have this whole list of formulas that I have to know for the test – help!! I’ve worked on this forever and I can’t figure it out. I must be stupid!
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Math Myths Students Believe – The Response
If you don’t know how to refute these myths, then check out “Twelve Math Myths”:
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Common Teacher Beliefs
Most teachers believe that . . . Mathematics is essentially a vehicle to model the real world Ability in mathematics is innate More than one representation should be used in explaining a mathematical concept Their subject area is highly sequential and static Students should be grouped by prior academic achievement in order to get better benefits from instruction Students learn in a passive manner from reacting to external forces rather than in an active manner as a producer of their own knowledge The TIMSS study of 1996 revealed that most teachers believe
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Teaching To The Analog Brain In The Digital World
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Stand and Deliver I have heard of the Common Core State Standards and I have seen the document that contains them. I have read the Standards for Mathematical Practice. I have read (or at least skimmed) the Common Core Standards for the course I will be teaching (Math I, Math II, or Math III). I have read parts of NCDPI’s unpacking of the Common Core Standards. I have read all 93 pages of the Common Core State Standards for Mathematics.
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Common Core Shifts Focus Coherence Rigor Narrow Deepen Critical Areas
Connections Vertical Alignment Conceptual Understanding Procedural Skill Application You are well aware of the shifts to the Common Core. This week is about supporting you with implementing these shifts in your classrooms.
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Focus Coherence Rigor We designed sessions to be specific to each course the first half of the week We will model deepening with Rich Tasks and Investigations We chose content from Critical Areas We strategically embedded PLT Time so that you can reflect and make connections between what you learn in each session We designed Vertical Alignment Sessions to help you make connections with content We will focus on mathematical discourse as a means of connecting Conceptual Understanding and Procedural Skill We have chosen problems that model mathematics in context We will discuss how to assess student understanding of concepts
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My Thoughts on Shifts in Common Core
“explain” used over 60 times in the CCSS “prove” occurs over 30 times “justify” occurs 12 times “proof” occurs 5 times
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Geometry Transformed Rotations Reflections Translations Dilations
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Probability & Statistics
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Modeling Number & Quantity Algebra Geometry Functions
Statistics & Probability
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Proof Formal vs. Informal Proving Theorems vs. Proving Relationships
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Spiraling of Concepts
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Math Discourse
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Core Plus and Core Math Tools
Stephanie Buckner, Buncombe County Schools
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CMAPP
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Wrap-Up
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Group Room Number Monday PM Tuesday AM Wednesday AM Math I Group A 2604 Assessment Statistics in Math I Math Discourse Core Plus Lesson Math I Group B 2606 Math II Group A 2608 Probability in Math II Math II Group B 2610 Math II Group C 2624 Math III 2626 Statistics in Math III
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Thursday AM Thursday PM Friday AM
Room Number Thursday AM Thursday PM Friday AM 2604 Functions 2606 Linear Quadratic Functions 2608 Exponential Functions 2610 Proof Trigonometry 2624 Statistics 2626 Transformations & Technology
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Reminders & Info Sign in daily! – both AM and PM
Sign-up sheets for the Vertical Alignment sessions will be placed in the locker bay of the 2600 hall See Christina for sub forms Be nice to your presenters – they have been working hard to make this week purposeful & successful! Parking Lot in each room for questions & issues that may arise Thank Heritage folks for hosting whenever you get the opportunity Friday afternoon PLT session will start in the Media Center
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Final Thought Common Core is not just a rearrangement of the same old content standards, but a serious endeavor to redefine the way we teach and learn mathematics in the United States. So it is a journey for us all – teachers, administrators, students, and parents. And as with any journey worth taking, it will take time. So be kind to yourself, and to your students.
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