Making sense of math


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1. Examine key considerations regarding the teaching and learning of mathematics.

2. Understand how mathematics skills are organized for teaching and learning.

3. Access mathematics resources.

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Making sense of math

  1. 1. ELEV8 Middle School Youth ProgramNovember 9, 2012Demetrie Broxton, AmeriCorps Director
  2. 2. 1. Examine key considerations regarding the teaching and learning of mathematics.2. Understand how mathematics skills are organized for teaching and learning.3. Access mathematics resources.
  3. 3. 1. Builds on prerequisite knowledge.2. Literature is a helpful tool.3. Requires exploration, practice, and a math- rich environment.4. Anxiety is natural and curable.
  4. 4. Mathematicalknowledge buildson prerequisiteunderstandingand skills.
  5. 5. Math in After School
  6. 6.  Connects learning to life. Enhances career choices and earning potential. Creates financial literacy and money management skills.
  7. 7. Books based on math concepts can: Create a context for a math activity. Introduce, review, or reinforce a math concept. Present math in creative ways.
  8. 8.  Reference and literature books Visual aids Computer-based resources Study guides Instructional DVDs Calculators Geometry sets Journals Manipulatives
  9. 9. Manipulative Image Possible Application Counters Addition Subtraction EstimationBase Ten Blocks/Cubes Place Value Multiplication Division Attribute Blocks Geometric Shapes Patterns Visual/Spatial Sense Fraction Circles Fractions Decimals Percents
  10. 10.  Choose manipulatives according to the objectives. Explain and review the concept. Allow exploration, discovery, and discussion time. Connect the manipulatives to writing. Have a management plan.
  11. 11. 1. Empower all students to do their best.2. Explore actual applications.3. Exhibit a positive attitude.
  12. 12. Jayden is a sixth-grade student who is struggling with division. He takes a long time to solve problems, makes computational errors, and lacks confidence in his answers.a What are some of the considerations that might help Jayden?
  13. 13. Jayden needs: Ample practice with facts to build up his ability to divide. Access to multiplication and addition charts and manipulatives. Division posters or study aids. Instructional videos or computer-based games for support. Picture books about division.
  14. 14. Five Strands Through Grade 71) Number Sense2) Algebra and Functions3) Measurements and Geometry4) Statistics, Data Analysis, and Probability5) Mathematical ReasoningDisciplines in Grades 8-12 Algebra I, Geometry, Algebra II Guidance for math instruction and assessment
  15. 15. C.C.S.S. Processes and Proficiencies Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and identify ways to create shortcuts when doing problems.
  16. 16.  Counting Place value Arithmetic Money Positive and negative integers Rounding and estimation
  17. 17.  Sort values Classify values Use number sentences Understand the meaning of symbols
  18. 18.  Shapes Area Perimeter Length Width Weight Volume Distance Formulas
  19. 19.  Patterns Graphing Estimation Averages
  20. 20.  Problem solving Reasoning Communicating Modeling math Using tools Being precise Using structure Applying shortcuts
  21. 21. How can you help students in your cohort improve their problem solving abilities? Hint: Remember—this is not aboutcomputation. It is about helping students to think strategically. (Answers will vary)
  22. 22.  Engage students in collaborative problem solving Use real-life problems Use technology Invite students to explain their reasoning verbally and/or visually Allow them to experiment with manipulatives and tools Emphasize the need to be precise/accurate
  23. 23. California After School Resource Center: