1. Project-Based Learning for Math Leslie A. Texas leslie@leslietexasconsulting.com July 12, 2010 Philadelphia, PA

2. KEEPING IN TOUCH Website: http://leslietexasconsulting.com Phone: (502) 253-1844 office (502) 777-5312 cell

3. WHAT IS PROJECT-BASED LEARNING? PBL engages students in complex, real-worldproblem solving… … is Academically Rigorous …is Relevant PBL …uses Active Learning

4. ACTIVITY versus PROJECT Establish an AUDIENCE and a PURPOSE for the work “The Bridge Project”

6. ACADEMIC RIGOR

7. APPLIED LEARNING

8. ACTIVE EXPLORATION

9. ADULT RELATIONSHIPS

10. ASSESSMENT PRACTICESDeveloped by Adria Steinberg, Jobs For the Future. Used by permission.

12. ACADEMIC RIGOR

13. APPLIED LEARNING

14. ACTIVE EXPLORATION

15. ADULT RELATIONSHIPS

16. ASSESSMENT PRACTICES

17. Real world context

18. Issues that matter to students

20. ACADEMIC RIGOR

21. APPLIED LEARNING

22. ACTIVE EXPLORATION

23. ADULT RELATIONSHIPS

24. ASSESSMENT PRACTICES

25. High-order thinking skills and methods of inquiry from academic and professional fields

27. ACADEMIC RIGOR

28. APPLIED LEARNING

29. ACTIVE EXPLORATION

30. ADULT RELATIONSHIPS

31. ASSESSMENT PRACTICES

32. Teamwork

33. Communication

34. Product design

35. Problem-solving

36. Self-management skills

38. ACADEMIC RIGOR

39. APPLIED LEARNING

40. ACTIVE EXPLORATION

41. ADULT RELATIONSHIPS

42. ASSESSMENT PRACTICES

43. Experiences beyond the classroom

44. Field-based investigations

45. Community exploration

46. Expert interviews

48. ACADEMIC RIGOR

49. APPLIED LEARNING

50. ACTIVE EXPLORATION

51. ADULT RELATIONSHIPS

52. ASSESSMENT PRACTICES

53. Adult mentors

54. Experts in the field

55. Guest artists

57. ACADEMIC RIGOR

58. APPLIED LEARNING

59. ACTIVE EXPLORATION

60. ADULT RELATIONSHIPS

61. ASSESSMENT PRACTICES

62. Exhibitions of work

63. Variety of assessment tools

64. Professional standards of performance

66. “The Math Dude” Mike DeGraba, Math Dude Montgomery County Public Schools Rockville, MD http://www.montgomeryschoolsmd.org/departments/itv/mathdude/

67. “The Math Dude” Topics: Graphic Representations Solving One-Step Equations Solving Multi-Step Equations Solving Inequalities Matrices The Mean

68. “The Math Dude” Topics: The Median & Box and Whiskers Probability Sample Spaces Laws of Exponents Dividing Monomials Polynomial Operations

69. “The Math Dude” Topics: Multiplying Polynomials Factoring Solving Equations by Factoring Graphing Parabolas Solving Quadratic Equations Exponential Functions Properties of Functions

70. Rhythm, Rhyme, Results 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 http://www.educationalrap.com/about

71. Circumference Chorus If I need to measure up a clock (circumference) Measure the post on a dock (circumference) If I’m buying rims for a car (circumference) Hey, yo, 2πr! (It just makes sense) If I need to measure up a hat (circumference) Spinnin’ records like that (circumference) If I need to pick the right jar (circumference) Hey, yo, 2πr! (It just makes sense)

72. Circumference Verse I Check out and see all the round things you can find So many circles out there, it will blow your mind It can be hard to measure distance around But once you use a little math you can figure it out If you need to find the distance around a circle shape All you need is one formula and a measuring tape Then you measure up the radius so you can figure out ‘Cause twice that radius times π is what a circle’s all about

73. Circumference Chorus If I need to measure up a clock (circumference) Measure the post on a dock (circumference) If I’m buying rims for a car (circumference) Hey, yo, 2πr! (It just makes sense) If I need to measure up a hat (circumference) Spinnin’ records like that (circumference) If I need to pick the right jar (circumference) Hey, yo, 2πr! (It just makes sense)

74. Circumference Verse II You know that every circle—if it’s big or little— Has one single point that’s right in the middle So you start on one edge, draw a straight line Right through the center and to the other side That’s the diameter. And half of that is the radius That’s the crucial number that we need to figure this out Then we multiply it by 2π Circumference, 2πr, there’s no need to ask why

75. EXEMPLAR The National Math Trail http://www.nationalmathtrail.org/ Kay Toliver Video http://www.youtube.com/watch?v=Y72vMM5JIeI

76. EXEMPLAR Other Math Trail Examples School: Shelby County High School, Alabama Building a Ramp Example http://www.shelbyed.k12.al.us/tech/mathtrail/schsramp/schsintro.htm

77. EXEMPLAR The Urban Plan Project http://www.edutopia.org/print/1450 Article describing the project Student video sample http://www.edutopia.org/developing-minds

78. EXEMPLAR United States Military Academy West Point, NY Bridge Building Contest http://bridgecontest.usma.edu/

79. EXEMPLAR Mount Lake Terrace High School, Seattle, WA Geometry Project Eeva Reeder, teacher Article http://www.edutopia.org/geometry-real-world-students-architects Video http://www.edutopia.org/mountlake-terrace-high-school

80. RESOURCE Intel in Education http://www97.intel.com/en/ProjectDesign “Designing Effective Projects : Project-Based Units to Engage Students”. This site contains a collection of exemplary Unit Plans that integrate technology into classroom projects.

81. RESOURCE Applied Calculus (real world problems NOT projects) http://www.zweigmedia.com/RealWorld/tccalcp.html http://www.zweigmedia.com/RealWorld/cprob/cprobintro.html