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Developing Mathematical Practices for Number, Operations and Algebraic Reasoning: Grades K -5 Developed by Dr. Jenny K. Tsankova with support from Teachers21 and the Massachusetts Department of Elementary and Secondary Education

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Goals of the Course Understand and recognize the eight Standards of Mathematical Practices (MP) in the Common Core Standards for Mathematics Engage deeper into unpacking MP 1, 2 and 7 1: Make sense of problems and persevere in solving them 2: Reason abstractly 7: Look for and make use of structure Recognize the importance of planning a sequence of rich tasks and problems that exemplify the MP on the basis of – Sound pedagogical content knowledge – Rich toolkit of problem solving strategies – Supporting students in their reasoning 2Dr. Jenny K. Tsankova2011

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Goals of the Course Cont. See coherence in connections within and across grades in developing understanding of key mathematical ideas Rejuvenate your enthusiasm in solving rich tasks and problems Discuss issues of mathematics education in the course Blog, reflect, ask questions, present using a document projector camera and MimioTeach interactive white board Grow in confidence as a mathematics educator! 3Dr. Jenny K. Tsankova2011

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Is this course for Me? Are you an elementary teacher? Are you a paraprofessional in elementary school? Are you a special educator in elementary or middle school? Are you a math coach, math specialist, curriculum specialist at the elementary level? Are you a principal of elementary school? If you answered “YES” to any of the above, then this course is for you! 4Dr. Jenny K. Tsankova2011

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Course Logistics 8 full day face-to-face sessions (7 in the summer and 1 in the fall) The scheduling of the days is flexible to accommodate district needs if the course is offered during the school year Participants will receive $100 worth of professional development resources (for example, curriculum supplementary materials, NCTM subscription for a magazine, etc.) 4 graduate credits from Simmons College ($300 total) or 67.5 PDPs 2011Dr. Jenny K. Tsankova5

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Cohort requirements An effective cohort size consists of a minimum of 16 people and a maximum of 35 people (A course facilitator will be added for a group of more than 25 participants.) At least one administrator (supervisor of participating teachers) needs to participate in the administrator support module. 2011Dr. Jenny K. Tsankova6

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What will I do in the Course? Unpack MP and prepare to apply them in your classroom 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. 2011Dr. Jenny K. Tsankova7

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What will I do in the Course? (Cont.) 8Dr. Jenny K. Tsankova2011 Discuss written vignettes from students’ discourse on solving problems Watch and analyze children’s understanding in video clips of clinical interviews with elementary students Experience contagious problem solving you would love to try with your students

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What will I do in the Course? (Cont.) 9Dr. Jenny K. Tsankova2011 Draw, model, show variety of representations

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What will I do in the Course? (Cont.) 10Dr. Jenny K. Tsankova2011 Learn about types of word problems and create word problems

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What will I do in the Course? (Cont.) Count like a kindergartener – with pizazz! Use models to decompose and compose numbers to add and subtract with mastery and flexibility Play with strategies of whole number computations and the mathematical ideas behind them, for example, walk like an Egyptian (multiply like an Egyptian) Reveal the secrets of multiplication and division of fractions and do it with gusto! Get fascinated how third graders can easily solve one and two-step linear equations Race for Order of Operations, play math games, discover the “math magic” of number tricks 11Dr. Jenny K. Tsankova2011

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What will I do in the Course? (Cont.) Analyze student work 12Dr. Jenny K. Tsankova2011

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What will I do in the Course? (Cont.) Enjoy working with colleagues; Benefit from being supported in your reasoning by a facilitator and enrich your toolkit of strategies as a facilitator yourself. 13Dr. Jenny K. Tsankova2011

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What will I do in the Course? (Cont.) Discover that the math you do and the concepts you discuss actually “make” your dinner table!!! 14Dr. Jenny K. Tsankova2011

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Contact and Information: Teachers21, John D’Auria: jdauria@teachers21.orgjdauria@teachers21.org Dr. Jenny K. Tsankova, jennymathed@gmail.comjennymathed@gmail.com 15Dr. Jenny K. Tsankova2011

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Mathematical Practices. Goals today: ◦ Become familiar with the Mathematical Practices and what they mean and look like in instruction ◦ Addition.

Mathematical Practices. Goals today: ◦ Become familiar with the Mathematical Practices and what they mean and look like in instruction ◦ Addition.

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