Project-Based Learning for Math <br />Leslie A. Texas<br />leslie@leslietexasconsulting.com<br />July 12, 2010<br />Philad...
KEEPING IN TOUCH<br />Website:<br />		http://leslietexasconsulting.com<br />Phone:<br />		(502) 253-1844 office<br />		(50...
WHAT IS PROJECT-BASED LEARNING?<br />PBL engages students in complex,<br />real-worldproblem solving…<br />… is Academical...
ACTIVITY versus PROJECT<br />Establish an AUDIENCE and a PURPOSE for the work<br />“The Bridge Project”<br />
THE SIX A’s OF DESIGNING PROJECTS<br /><ul><li>AUTHENTICITY
 ACADEMIC RIGOR
 APPLIED LEARNING
 ACTIVE EXPLORATION
 ADULT RELATIONSHIPS
 ASSESSMENT PRACTICES</li></ul>Developed by Adria Steinberg, Jobs For the Future. Used by permission.<br />
AUTHENTICITY<br /><ul><li>AUTHENTICITY
 ACADEMIC RIGOR
 APPLIED LEARNING
 ACTIVE EXPLORATION
 ADULT RELATIONSHIPS
 ASSESSMENT PRACTICES
Real world context
Issues that matter to students
Real and appropriate audience</li></li></ul><li>ACADEMIC RIGOR<br /><ul><li> AUTHENTICITY
ACADEMIC RIGOR
 APPLIED LEARNING
 ACTIVE EXPLORATION
 ADULT RELATIONSHIPS
 ASSESSMENT PRACTICES
High-order thinking skills and methods of inquiry from academic and professional fields
Aligned with state content standards</li></li></ul><li>APPLIED LEARNING<br /><ul><li> AUTHENTICITY
 ACADEMIC RIGOR
APPLIED LEARNING
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Project based learning for math, leslie texas

  1. 1. Project-Based Learning for Math <br />Leslie A. Texas<br />leslie@leslietexasconsulting.com<br />July 12, 2010<br />Philadelphia, PA<br />
  2. 2. KEEPING IN TOUCH<br />Website:<br /> http://leslietexasconsulting.com<br />Phone:<br /> (502) 253-1844 office<br /> (502) 777-5312 cell<br />
  3. 3. WHAT IS PROJECT-BASED LEARNING?<br />PBL engages students in complex,<br />real-worldproblem solving…<br />… is Academically Rigorous<br />…is Relevant<br />PBL<br />…uses Active Learning<br />
  4. 4. ACTIVITY versus PROJECT<br />Establish an AUDIENCE and a PURPOSE for the work<br />“The Bridge Project”<br />
  5. 5. THE SIX A’s OF DESIGNING PROJECTS<br /><ul><li>AUTHENTICITY
  6. 6. ACADEMIC RIGOR
  7. 7. APPLIED LEARNING
  8. 8. ACTIVE EXPLORATION
  9. 9. ADULT RELATIONSHIPS
  10. 10. ASSESSMENT PRACTICES</li></ul>Developed by Adria Steinberg, Jobs For the Future. Used by permission.<br />
  11. 11. AUTHENTICITY<br /><ul><li>AUTHENTICITY
  12. 12. ACADEMIC RIGOR
  13. 13. APPLIED LEARNING
  14. 14. ACTIVE EXPLORATION
  15. 15. ADULT RELATIONSHIPS
  16. 16. ASSESSMENT PRACTICES
  17. 17. Real world context
  18. 18. Issues that matter to students
  19. 19. Real and appropriate audience</li></li></ul><li>ACADEMIC RIGOR<br /><ul><li> AUTHENTICITY
  20. 20. ACADEMIC RIGOR
  21. 21. APPLIED LEARNING
  22. 22. ACTIVE EXPLORATION
  23. 23. ADULT RELATIONSHIPS
  24. 24. ASSESSMENT PRACTICES
  25. 25. High-order thinking skills and methods of inquiry from academic and professional fields
  26. 26. Aligned with state content standards</li></li></ul><li>APPLIED LEARNING<br /><ul><li> AUTHENTICITY
  27. 27. ACADEMIC RIGOR
  28. 28. APPLIED LEARNING
  29. 29. ACTIVE EXPLORATION
  30. 30. ADULT RELATIONSHIPS
  31. 31. ASSESSMENT PRACTICES
  32. 32. Teamwork
  33. 33. Communication
  34. 34. Product design
  35. 35. Problem-solving
  36. 36. Self-management skills
  37. 37. Information collection, organization and analysis</li></li></ul><li>ACTIVE EXPLORATION<br /><ul><li> AUTHENTICITY
  38. 38. ACADEMIC RIGOR
  39. 39. APPLIED LEARNING
  40. 40. ACTIVE EXPLORATION
  41. 41. ADULT RELATIONSHIPS
  42. 42. ASSESSMENT PRACTICES
  43. 43. Experiences beyond the classroom
  44. 44. Field-based investigations
  45. 45. Community exploration
  46. 46. Expert interviews
  47. 47. Internships</li></li></ul><li>ADULT RELATIONSHIPS<br /><ul><li> AUTHENTICITY
  48. 48. ACADEMIC RIGOR
  49. 49. APPLIED LEARNING
  50. 50. ACTIVE EXPLORATION
  51. 51. ADULT RELATIONSHIPS
  52. 52. ASSESSMENT PRACTICES
  53. 53. Adult mentors
  54. 54. Experts in the field
  55. 55. Guest artists
  56. 56. Community panels</li></li></ul><li>ASSESSMENT PRACTICES<br /><ul><li> AUTHENTICITY
  57. 57. ACADEMIC RIGOR
  58. 58. APPLIED LEARNING
  59. 59. ACTIVE EXPLORATION
  60. 60. ADULT RELATIONSHIPS
  61. 61. ASSESSMENT PRACTICES
  62. 62. Exhibitions of work
  63. 63. Variety of assessment tools
  64. 64. Professional standards of performance
  65. 65. Student involvement in creating criteria for project (rubric)</li></li></ul><li>ASSESSMENT & EVALUATION<br />Tests, Quizzes, Reports, Recitations<br />PRODUCT<br />KNOWLEDGE<br />(Mastery)<br />JUDGMENT<br />PROCESS<br />PROGRESS<br />Portfolios, Journals, Observations<br />Exhibitions, Demonstrations<br />UNDERSTANDING<br />(Application of knowledge)<br />REFLECTION<br />(Growth over time)<br />
  66. 66. “The Math Dude”<br />Mike DeGraba, Math Dude<br />Montgomery County Public Schools<br />Rockville, MD<br />http://www.montgomeryschoolsmd.org/departments/itv/mathdude/<br />
  67. 67. “The Math Dude”<br />Topics:<br />Graphic Representations<br />Solving One-Step Equations<br />Solving Multi-Step Equations<br />Solving Inequalities<br />Matrices<br />The Mean<br />
  68. 68. “The Math Dude”<br />Topics:<br />The Median & Box and Whiskers<br />Probability<br />Sample Spaces<br />Laws of Exponents<br />Dividing Monomials<br />Polynomial Operations<br />
  69. 69. “The Math Dude”<br />Topics:<br />Multiplying Polynomials<br />Factoring<br />Solving Equations by Factoring<br />Graphing Parabolas<br />Solving Quadratic Equations<br />Exponential Functions<br />Properties of Functions<br />
  70. 70. Rhythm, Rhyme, Results<br />Math raps that include the following songs: Rise Up (Run Out), Don’t Be Negative, (Pump Up the) Volume, It’s All in the Surface, Circumference (It Just Makes Sense, How Do I (Work with Fractions)? Fractions and Decimals, The Standard System, Meters, Liters, and Grams, Inversion<br /> http://www.educationalrap.com/about<br />
  71. 71. Circumference<br />Chorus<br />If I need to measure up a clock (circumference) <br />Measure the post on a dock (circumference) <br />If I’m buying rims for a car (circumference) <br />Hey, yo, 2πr! (It just makes sense) <br />If I need to measure up a hat (circumference) <br />Spinnin’ records like that (circumference) <br />If I need to pick the right jar (circumference) <br />Hey, yo, 2πr! (It just makes sense) <br />
  72. 72. Circumference<br />Verse I <br />Check out and see all the round things you can find <br />So many circles out there, it will blow your mind <br />It can be hard to measure distance around <br />But once you use a little math you can figure it out <br />If you need to find the distance around a circle shape <br />All you need is one formula and a measuring tape <br />Then you measure up the radius so you can figure out ‘Cause twice that radius times π is what a circle’s all about<br />
  73. 73. Circumference<br />Chorus<br />If I need to measure up a clock (circumference) <br />Measure the post on a dock (circumference) <br />If I’m buying rims for a car (circumference) <br />Hey, yo, 2πr! (It just makes sense) <br />If I need to measure up a hat (circumference) <br />Spinnin’ records like that (circumference) <br />If I need to pick the right jar (circumference) <br />Hey, yo, 2πr! (It just makes sense) <br />
  74. 74. Circumference<br />Verse II <br />You know that every circle—if it’s big or little— <br />Has one single point that’s right in the middle <br />So you start on one edge, draw a straight line <br />Right through the center and to the other side <br />That’s the diameter. And half of that is the radius <br />That’s the crucial number that we need to figure this out Then we multiply it by 2π <br />Circumference, 2πr, there’s no need to ask why<br />
  75. 75. EXEMPLAR<br />The National Math Trail<br />http://www.nationalmathtrail.org/<br />Kay Toliver Video<br />http://www.youtube.com/watch?v=Y72vMM5JIeI<br />
  76. 76. EXEMPLAR<br />Other Math Trail Examples<br />School: Shelby County High School, Alabama<br />Building a Ramp Example<br />http://www.shelbyed.k12.al.us/tech/mathtrail/schsramp/schsintro.htm<br />
  77. 77. EXEMPLAR<br />The Urban Plan Project<br />http://www.edutopia.org/print/1450<br />Article describing the project<br />Student video sample<br />http://www.edutopia.org/developing-minds<br />
  78. 78. EXEMPLAR<br />United States Military Academy<br />West Point, NY<br />Bridge Building Contest<br />http://bridgecontest.usma.edu/<br />
  79. 79. EXEMPLAR<br />Mount Lake Terrace High School, Seattle, WA<br />Geometry Project<br />Eeva Reeder, teacher<br />Article<br />http://www.edutopia.org/geometry-real-world-students-architects<br />Video<br />http://www.edutopia.org/mountlake-terrace-high-school<br />
  80. 80. RESOURCE<br />Intel in Education http://www97.intel.com/en/ProjectDesign <br /> “Designing Effective Projects : Project-Based Units to Engage Students”. This site contains a collection of exemplary Unit Plans that integrate technology into classroom projects. <br />
  81. 81. RESOURCE<br />Applied Calculus (real world problems NOT projects)<br />http://www.zweigmedia.com/RealWorld/tccalcp.html<br />http://www.zweigmedia.com/RealWorld/cprob/cprobintro.html<br />

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