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Elementary Balanced Math

Elementary Balanced Math. MNPS 3 rd Grade ELL teacher Susanna Owens modeling Balanced Math http://10.189.201.34/watch_video.php?v=244237dc39021b3. Elements of Balanced Math. Conceptual Understanding. Computational Fluency. Problem Solving. Standards based Student centered

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Elementary Balanced Math

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  1. Elementary Balanced Math

  2. MNPS 3rd Grade ELL teacher Susanna Owens modeling Balanced Math http://10.189.201.34/watch_video.php?v=244237dc39021b3

  3. Elements of Balanced Math Conceptual Understanding Computational Fluency Problem Solving

  4. Standards based Student centered Implementation of mathcomponents Research based Best practices Workable schedule Becomes routine Balanced Math is...

  5. Course Outlines Support Balanced Math • Pacing • Resources • Themes mnps2010.wikispaces.com

  6. Balanced Math Framework Elementary School

  7. Typically, this involves the teacher posting 4-6 varying math concepts for students to work. The teacher acts as a facilitator who encourages a variety of ways to solve problems and helps model efficient thinking when necessary. Students take turns sharing their individual strategies with the class. Concepts are consistently revisited throughout the year so that they are not taught in isolation and/or forgotten. Math Review

  8. Spiral review of grade level concepts taught throughout the year Math morning work Calendar activities Estimation prompts Houghton Mifflin Transparencies Thinklink practice probes Math warm-ups Math Review

  9. Daily Math Review Name_______________________________________________________________________ Place value Addition Subtraction Multiplication Measurement

  10. Mental Math • “Math on Your Feet” • Brief daily sessions • Opportunities to practice • mental computation • Opportunities to solve • problems in a variety of ways • Could occur during transition • times.

  11. Mental Math • One more/one less, before/after, a given number • Counting by twos, fives, tens • Doubles • Fact families • Measurement (time, money, calendar, feet, etc.) • Math Vocabulary/Math Word Wall • Addition &/ or Subtraction Facts • Estimation • Math Around the Room

  12. Students experience an inquiry-based method of understanding key concepts Use of concrete representation when introducing new concepts Embedded problem solving Teachers implement strategies that help students develop understanding Utilize resources and methods beyond the adopted textbook Opportunities to work with small group remediation, enrichment, etc. Concept Lesson

  13. Balanced Math Framework Elementary School

  14. Math Word Wall • Content words • Current vocabulary • Interactive • Keep retired vocabulary accessible (dictionary, index cards, center)

  15. Learning Stages Representation/Pictorial ConcreteAbstract

  16. Learning Stages 1st Students will use their prior knowledge to construct concrete representations of math 2nd Students must represent their understanding in a reflective &/or symbolic form 3rd One or both forms will be a visual reminder for the understanding of the higher-thinking abstract Representation Concrete Abstract

  17. Problem solving tasks are… using a strategy or strategies to make sense of a problem. Based on real-life experiences whenever possible. Investigative experiences that encourage concept building and skill acquisition. Problem Solving Tasks

  18. A problem is defined by… Any task or activity for which a student has no prescribed or memorized rules or methods, nor is there a perception by the student that there is a specific “correct” solution method. Hiebert, J., Carpenter, T. P., Fennema, E., Fuson, K., Human, P., Murray, H., Olivier, A., & Wearne, D. (1996). Problem solving as a basis for reform in curriculum and instruction: The case of mathematics. Educational Researcher, 25 (May), 12-21.

  19. What are some ways to incorporate more problem solving? MinilessonsTasks that do not require the entire class period—the think-pair-share strategy is useful Workstations and gamesCan be setup around the room without the need to distribute and collect materials to allow students to work on different tasks and concepts Problem-solving MenuA menu is a collection of activities for a student to do. A menu can provide class work activities for several days, a week, or a longer period of time. The tasks on the menu are not hierarchical and do not conceptually build upon each other.

  20. Mrs. Owen bought some eggs. She used ½ of them to make cookies and ¼ of the remainder to make a cake. She had 9 eggs left. How many eggs did she buy? Mrs. Owen’s eggs cookies 12 12 cake 3 units = 9 1 unit = 3 3 3 3 3 9 4 x 3 = 12 12 + 12 = 24 Mrs. Owen bought 24 eggs.

  21. Eddie had 3 times as much money as Velma. Tina had 2 times as much money as Velma. If Tina had $60, how much money did Eddie have? Eddie’s $ Velma’s $ Tina’s $ $30 $30 $30 $30 ? $60 $30 $30 Two units = $60 $60 ÷ 2 = $30 $30 + $30 + $30 = $90 Eddie has $90.

  22. Computer Center http://www.eduplace.com/elogin/ http://www.portaportal.com/ HM Math Center Resource Book Super Source Activities (from previous lessons) Family Math Book Take It To Your Seat Folder Games Math Centers/Stations

  23. Math Journals Reflect individually and with whole-group Record representation of key concepts Opportunity to use math vocabulary/word wall in context Pose questions Problem solving Closure

  24. FORMATIVE—checking on learning as students progress SUMMATIVE—checking on learning at the end of the learning experience Assessments

  25. Assessment “When the cook tastes the soup, that’s formative; when the guests taste the soup, that’s summative.” (Stake, 2005)

  26. Formative & Summative Assessment Teacher Observation Math Journals Teacher Made Tests Study Island, Compass, Accelerated Math… Houghton Mifflin Chapter and Unit Tests Projects Thinklink Relay TCAP

  27. Balanced Math is standards based, not textbook based

  28. Bibliography • Five Easy Steps to a Balanced Math Program for Primary Grades (Paperback) (K-2) by Larry Ainsworth and Jan Christinson • Five Easy Steps to a Balanced Math Program for Upper Elementary Teachers (Paperback) (Grades 3-5) by Larry Ainsworth and Jan Christinson

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