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Project-Based Learning for Math Leslie A. Texas leslie@leslietexasconsulting July 12, 2010 PowerPoint Presentation
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Project-Based Learning for Math Leslie A. Texas leslie@leslietexasconsulting.com July 12, 2010 Philadelphia, PA. KEEPING IN TOUCH Website: http://leslietexasconsulting.com Phone: (502) 253-1844 office (502) 777-5312 cell. WHAT IS PROJECT-BASED LEARNING?.

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slide1

Project-Based Learning for Math

Leslie A. Texas

leslie@leslietexasconsulting.com

July 12, 2010

Philadelphia, PA

slide2

KEEPING IN TOUCH

Website:

http://leslietexasconsulting.com

Phone:

(502) 253-1844 office

(502) 777-5312 cell

slide3

WHAT IS PROJECT-BASED LEARNING?

PBL engages students in complex,

real-worldproblem solving…

… is Academically Rigorous

…is Relevant

PBL

…uses Active Learning

the six a s of designing projects
AUTHENTICITY

ACADEMIC RIGOR

APPLIED LEARNING

ACTIVE EXPLORATION

ADULT RELATIONSHIPS

ASSESSMENT PRACTICES

THE SIX A’s OF DESIGNING PROJECTS

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

authenticity
AUTHENTICITY
  • AUTHENTICITY
  • ACADEMIC RIGOR
  • APPLIED LEARNING
  • ACTIVE EXPLORATION
  • ADULT RELATIONSHIPS
  • ASSESSMENT PRACTICES
  • Real world context
  • Issues that matter to students
  • Real and appropriate audience
academic rigor
ACADEMIC RIGOR
  • 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
applied learning
APPLIED LEARNING
  • AUTHENTICITY
  • ACADEMIC RIGOR
  • APPLIED LEARNING
  • ACTIVE EXPLORATION
  • ADULT RELATIONSHIPS
  • ASSESSMENT PRACTICES
  • Teamwork
  • Communication
  • Product design
  • Problem-solving
  • Self-management skills
  • Information collection, organization and analysis
active exploration
ACTIVE EXPLORATION
  • Experiences beyond the classroom
  • Field-based investigations
  • Community exploration
  • Expert interviews
  • Internships
  • AUTHENTICITY
  • ACADEMIC RIGOR
  • APPLIED LEARNING
  • ACTIVE EXPLORATION
  • ADULT RELATIONSHIPS
  • ASSESSMENT PRACTICES
adult relationships
ADULT RELATIONSHIPS
  • AUTHENTICITY
  • ACADEMIC RIGOR
  • APPLIED LEARNING
  • ACTIVE EXPLORATION
  • ADULT RELATIONSHIPS
  • ASSESSMENT PRACTICES
  • Adult mentors
  • Experts in the field
  • Guest artists
  • Community panels
assessment practices
ASSESSMENT PRACTICES
  • AUTHENTICITY
  • ACADEMIC RIGOR
  • APPLIED LEARNING
  • ACTIVE EXPLORATION
  • ADULT RELATIONSHIPS
  • ASSESSMENT PRACTICES
  • Exhibitions of work
  • Variety of assessment tools
  • Professional standards of performance
  • Student involvement in creating criteria for project (rubric)
assessment evaluation
ASSESSMENT & EVALUATION

PRODUCT

Tests, Quizzes, Reports, Recitations

KNOWLEDGE

(Mastery)

JUDGMENT

PROCESS

PROGRESS

Portfolios, Journals, Observations

Exhibitions, Demonstrations

UNDERSTANDING

(Application of knowledge)

REFLECTION

(Growth over time)

the math dude
“The Math Dude”

Mike DeGraba, Math Dude

Montgomery County Public Schools

Rockville, MD

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

the math dude1
“The Math Dude”

Topics:

Graphic Representations

Solving One-Step Equations

Solving Multi-Step Equations

Solving Inequalities

Matrices

The Mean

the math dude2
“The Math Dude”

Topics:

The Median & Box and Whiskers

Probability

Sample Spaces

Laws of Exponents

Dividing Monomials

Polynomial Operations

the math dude3
“The Math Dude”

Topics:

Multiplying Polynomials

Factoring

Solving Equations by Factoring

Graphing Parabolas

Solving Quadratic Equations

Exponential Functions

Properties of Functions

rhythm rhyme results
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

slide18

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)

slide19

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

slide20

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)

slide21

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

exemplar

EXEMPLAR

The National Math Trail

http://www.nationalmathtrail.org/

Kay Toliver Video

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

exemplar1

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

exemplar2

EXEMPLAR

The Urban Plan Project

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

Article describing the project

Student video sample

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

exemplar3

EXEMPLAR

United States Military Academy

West Point, NY

Bridge Building Contest

http://bridgecontest.usma.edu/

exemplar4

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

resource
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.

resource1
RESOURCE

Applied Calculus (real world problems NOT projects)

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

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