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NCAEE October 2013 Elementary School Conference K-2 Kitty Rutherford

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Welcome “Who’s in the Room”

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Norms Listen as an Ally Value Differences Maintain Professionalism Participate Actively

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Announcements

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Notification of a slight change in the Numbering System of CCSS for Mathematics

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Building Mathematical Language

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Common Core State Standards: One Page Layouts

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Unpacking Document

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Major Work

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K-8 Lessons for Learning

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K-5 Grade Level Unit or Collection of Lessons

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Navigation Alignment

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K-12 AIG Lessons http://ncaigirp.ncdpi.wikispaces.net/Mathematics+3-5

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Help Dr. Math Dr. Math has been really busy this year helping students understand math. Since you have been working with many kinds of addition and subtraction problems this year, he could use your help in answering some of these letters. These students need help in understanding so be sure to explain clearly and use drawings and equations to support your explanations. You may wish to choose your own pseudonym (Dr. Math is not a real name!).

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Dear Dr. Math, Please help me! My aunt is making a gum wrapper chain to decorate her basement. She will pay me a penny for each gum wrapper. I cleaned up my room and found 35 gum wrappers. Then I snuck into my brother’s room and found 48 gum wrappers. Then I looked in my dad’s car and found 22 more gum wrappers. How can I figure out how many pennies my aunt should give me? Sincerely, All gummed up in Greensboro

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Operations and Algebraic Thinking Represent and solve problems involving addition and subtraction. 2.OA.1 Use addition and subtraction within 100 to solve on-and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing with unknowns in all positions e.g. by using drawings and equations with a symbol for the unknown number to represent the problem. Students will need to understand the problem types:Result Unknown Change Unknown Start Unknown

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K-2 Assessments Formative Assessments on Wiki (This can be purchased in printable form.) Mid-Year Benchmark Assessment (Released last year’s assessment – now on math wiki) Summative Assessment (Released last year’s assessment – now on math wiki)

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Available in print form

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The North Carolina Elementary Mathematics Add-On License Project For more information on EMAoL offerings contact: ASU Kathleen Lynch Davis lynchrk@ appstate.edu ECU Sid Rachlin rachlins@ ecu.edu NCSU Paola Sztajn papaola_sztajn @ncsu.edu UNC Susan Friel sfriel@ email.unc.edu UNCC Drew Polly drew.polly@ uncc.edu UNCG Kerri Richardson kerri_richardson @uncg.edu UNCW Tracy Hargrove hargrovet@ uncw.edu

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Nominate An Outstanding Teacher Website: www.paemst.org Kitty.rutherford@dpi.nc.gov

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Math and Science Partnerships MSP 2013-2014 –RFP published September 3, 2013 –Intent to apply due: September 30, 2013 –Full proposals due: November 30, 2013 For more information contact: Beverly G. Vance, Science Section Chief Division of Curriculum and Instruction North Carolina Department of Public Instruction Beverly.vance@dpi.nc.gov

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http://www.illustrativemathematics.org/standards/hs

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http://learnzillion.com

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Join Our Listserv 1. Send an email to the Listserv by cutting and pasting the following address into the "To" box within your email application. join-k-5_math@lists.dpi.state.nc.usjoin-k-5_math@lists.dpi.state.nc.us[Elementary requests] 2. Leave the subject line and the body of the message blank. 3. Once successfully subscribed, a confirmation email will be sent.

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Realigning and creating additional games for CCSS

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“Teaching for Understanding” Dr. Phil Daro http://vimeo.com/30924981

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Turn and Talk How might these ideas challenge teachers in your district or school? How can we move from “answer getting” to “learning mathematics”? What evidence do you have that teachers might not know the difference?

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Problem: Mile wide –inch deep Cause: Too little time per concept Cure: More time per topic “LESS TOPICS”

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Why do students have to do math problems? a.To get answers because Homeland Security needs them, pronto. b. I had to, why shouldn’t they? c. So they will listen in class. d. To learn mathematics.

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To Learn Mathematics Answers are part of the process, they are not the product. The product is the student’s mathematical knowledge and know-how. The ‘correctness’ of answers is also part of the process. Yes, an important part.

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“Answer Getting vs. Learning Mathematics” United States: “How can I teach my kids to get the answer to this problem?” Japan: “How can I use this problem to teach the mathematics of this unit?”

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1.Make sense of problems and persevere in solving them. 2.Reason abstractly and quantitatively. 3.Construct viable arguments and critique the reasoning of others. 4.Model with mathematics. 5.Use appropriate tools strategically 6.Attend to precision. 7.Look for and make use of structure. 8.Look for and express regularity in repeated reasoning. Standards for Mathematical Practices

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Why is change necessary?

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8 + 4 = [ ] + 5 Turn and Talk

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8 + 4 = [ ] + 5 Percent Responding with Answers Grade7121712 & 17 1 st - 2 nd 3 rd - 4 th 5 th - 6 th Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School. Carpenter, Franke, & Levi Heinemann, 2003

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8 + 4 = [ ] + 5 Percent Responding with Answers Grade7121712 & 17 1 st - 2 nd 558138 3 rd - 4 th 5 th - 6 th Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School. Carpenter, Franke, & Levi Heinemann, 2003

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8 + 4 = [ ] + 5 Percent Responding with Answers Grade7121712 & 17 1 st - 2 nd 558138 3 rd - 4 th 9492510 5 th - 6 th Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School. Carpenter, Franke, & Levi Heinemann, 2003

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8 + 4 = [ ] + 5 Percent Responding with Answers Grade7121712 & 17 1 st - 2 nd 558138 3 rd - 4 th 9492510 5 th - 6 th 276212 Thinking Mathematically: Integrating Arithmetic & Algebra in Elementary School. Carpenter, Franke, & Levi Heinemann, 2003

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Research Students are shown this number. Teacher points to the 6 and says, “Can you show me this many?” 16 Constance Kamii

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Research When the teacher points to the 1 in the tens place and asks, “Can you show me this many?” 16 Constance Kamii

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Research By third grade nearly half the students still do not ‘get’ this concept. 16 Constance Kamii

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More research - It gets worse! A number contains 18 tens, 2 hundreds, and 4 ones. What is that number? 1824 218.4 2824 384 Grayson Wheatly

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Lesson Comparison United States and Japan The emphasis on skill acquisition is evident in the steps most common in U.S. classrooms The emphasis on understanding is evident in the steps of a typical Japanese lesson Teacher instructs students in concept or skill Teacher solves example problems with class Students practice on their own while teacher assists individual students Teacher poses a thought provoking problem Students and teachers explore the problem Various students present ideas or solutions to the class Teacher summarizes the class solutions Students solve similar problems

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How are you feeling?

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Let’s Do Some Math!

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The Famous Horse Problem A farmer buys a horse for $60. How much money did the farmer make or lose? Later he sells it for $70. He buys it back for $80. Finally, he sells it for $90.

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Feeling Better?

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Creating Active Thinkers Do You Value Thinking? “Teacher Test”

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The First Step “ Before all else, a classroom environment that fosters complex thinking must be predictable and safe.” Creating Active Thinkers, page 34-35 How do you know if a classroom is safe and predictable?

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The Next Step “Complex thinking is developed in students primarily through the careful planning and teaching of lessons.” Creating Active Thinkers, page 37 What do you need to keep in mind when planning a lesson?

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Let’s Jigsaw!

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Find your Teacher Strategy #

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Nine Teacher Strategies The teacher will… 1.focus and refocus students on task. (pages 62-67) 2.ask open-ended questions.(pages 67-70) 3.ask extension questions.(pages 70-74) 4.wait for student responses.(pages74-78) 5.accept a variety of student responses.(pages 78-81) 6.encourage student interaction.(pages 81-84) 7.not give opinions or value judgments.(pages 84-86) 8.not repeat student responses.(pages 87-88) 9.ask students to reflect on their thinking.(pages 88-90)

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Share Teacher Strategy

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Student Responsibilities “The student takes his or her cues from the teacher.” Include your students in the journey. Meet some of your students… Creating Active Thinkers, page 97-100

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Student Behaviors Read the student behaviors on page 101. Are these student behaviors familiar? Surprise! Standards for Mathematical Practice.

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Instruction Must Change

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1.Make sense of problems and persevere in solving them. 2.Reason abstractly and quantitatively. 3.Construct viable arguments and critique the reasoning of others. 4.Model with mathematics. 5.Use appropriate tools strategically 6.Attend to precision. 7.Look for and make use of structure. 8.Look for and express regularity in repeated reasoning. Standards for Mathematical Practices

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Kitty Rutherford kitty.rutherford@dpi.nc.gov Contact Information Website: www.ncdpi.wikispaces.net

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What questions do you have?

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For all you do for our students!

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