Project based learning for math, leslie texas

Project-Based Learning for Math

Leslie A. [email protected]

July 12, 2010Philadelphia, PA

KEEPING IN TOUCH

Website:http://

leslietexasconsulting.com

Phone:(502) 253-1844 office(502) 777-5312 cell

PBL engages students in complex, real-world problem solving…

… is Academically Rigorous

…is Relevant

…uses Active Learning

WHAT IS PROJECT-BASED LEARNING?

PBL

ACTIVITY versus PROJECT

Establish an AUDIENCE and a PURPOSE

for the work

“The Bridge Project”

THE SIX A’s OF DESIGNING PROJECTS

AUTHENTICITY

ACADEMIC RIGOR

APPLIED LEARNING

ACTIVE EXPLORATION

ADULT RELATIONSHIPS

ASSESSMENT PRACTICES

Developed by Adria Steinberg, Jobs For the Future. Used by permission.

AUTHENTICITY

Real world context Issues that matter to

students Real and appropriate

audience

AUTHENTICITY ACADEMIC RIGOR APPLIED LEARNING ACTIVE EXPLORATION ADULT RELATIONSHIPS ASSESSMENT PRACTICES

ACADEMIC RIGOR

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

Aligned with state content standards


APPLIED LEARNING Teamwork Communication Product design Problem-solving Self-management skills Information collection,

organization and analysis


ACTIVE EXPLORATION

Experiences beyond the classroom

Field-based investigations Community exploration Expert interviews Internships


ADULT RELATIONSHIPS

Adult mentors Experts in the field Guest artists Community panels


ASSESSMENT PRACTICES Exhibitions of work Variety of assessment

tools Professional standards

of performance Student involvement

in creating criteria for project (rubric)


ASSESSMENT & EVALUATION

JUDGMENT

Exhibitions, Demonstrations

UNDERSTANDING(Application of knowledge)

Portfolios, Journals, Observations

REFLECTION(Growth over time)

KNOWLEDGE(Mastery)

Tests, Quizzes, Reports, Recitations

“The Math Dude”

Mike DeGraba, Math DudeMontgomery County Public Schools

Rockville, MD

http://www.montgomeryschoolsmd.org/departments/itv/mathdude/



“The Math Dude”

Topics:• Graphic Representations• Solving One-Step Equations• Solving Multi-Step Equations• Solving Inequalities• Matrices• The Mean

“The Math Dude”

Topics:• The Median & Box and Whiskers• Probability• Sample Spaces• Laws of Exponents• Dividing Monomials• Polynomial Operations

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

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

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)

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

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)

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

Circumference

EXEMPLAR

The National Math Trail

http://www.nationalmathtrail.org/

Kay Toliver Video

http://www.youtube.com/watch?v=Y72vMM5JIeI

http://www.nationalmathtrail.org/



EXEMPLAR

Other Math Trail Examples

School: Shelby County High School, Alabama

Building a Ramp Examplehttp://www.shelbyed.k12.al.us/tech/mathtrail/schsramp/schsintro.htm

http://www.shelbyed.k12.al.us/tech/mathtrail/schsramp/schsintro.htm



EXEMPLAR

The Urban Plan Project

http://www.edutopia.org/print/1450

Article describing the project

Student video sample

http://www.edutopia.org/developing-minds

http://www.edutopia.org/print/1450



EXEMPLAR

United States Military AcademyWest Point, NYBridge Building Contesthttp://bridgecontest.usma.edu/

http://bridgecontest.usma.edu/

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





RESOURCEIntel 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.

RESOURCEApplied Calculus (real world problems NOT projects)

http://www.zweigmedia.com/RealWorld/tccalcp.html

http://www.zweigmedia.com/RealWorld/cprob/cprobintro.html

http://www.zweigmedia.com/RealWorld/tccalcp.html

http://www.zweigmedia.com/RealWorld/cprob/cprobintro.html

Project based learning for math, leslie texas

Education

Transcript of Project based learning for math, leslie texas