what is pbl? - nctm.confex.com · a guide to standards-focused project based learning, 2nd edition....

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10/27/14 1 + Pimp My Ride: Project-Based Learning (PBL) In Action Crystal Collier, Ben Davis University High School Jean Lee, University of Indianapolis 2015 NCTM Regional Conference, Indianapolis October 30, 2014 + What is PBL? Learners go through a systematic teaching method that engages them in learning knowledge and skills through an extended inquiry process structured around complex, authentic questions and carefully designed products and tasks. Markham, T., Larmer, J., & Ravitz, J. (2003). Project-based learning handbook: A guide to standards-focused project based learning, 2 nd edition. Novato, CA: Buck Institute for Education. Pg. 4

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10/27/14

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+Pimp My Ride: Project-Based Learning (PBL) In Action

Crystal Collier, Ben Davis University High School

Jean Lee, University of Indianapolis

2015 NCTM Regional Conference, Indianapolis October 30, 2014

+What is PBL?

Learners go through a systematic teaching method that engages them in learning knowledge and skills through an extended inquiry process structured around complex, authentic questions and carefully designed products and tasks.

Markham, T., Larmer, J., & Ravitz, J. (2003). Project-based learning handbook: A guide to standards-focused project based learning, 2nd edition. Novato, CA: Buck Institute for Education. Pg. 4

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+PBL Practices

1.  Implementing student-centered instruction to increase relevance and rigor of key academic content

2.  Using 21st Century competencies 3.  Engaging in in-depth inquiry

4.  Working on addressing a driving question

5.  Generating Need-to-Knows

6.  Exercising voice and choice

7.  Critiquing and revising one’s work 8.  Allowing one’s work to public critique

+ Mapping the Project � Stage 1– Identify desired results

� What understandings are desired? � What key knowledge (information) and skills

(abilities) will students acquire as a result of this unit?

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+ Mapping the Project �  Stage 2– Determine acceptable evidence

�  What evidence will show that students understand? How will your performance assessments (activities, workshops, HW, culminating products) be aligned to the Standards and 21st century skills?

�  What evidence will you gather from tests, quizzes, observations (or other appropriate strategies)?

�  What student self-assessment and /or reflection will help you understand how the students perceive their learning?

+ Mapping the Project �  Stage 3– Daily Learning Plan

�  How are the lessons connected to performance assessments?

�  What sequence of teaching and learning experiences (for unit duration) will equip students to engage with, develop, and demonstrate the desired understandings? List each key activity in the order in which it will occur.

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+Start Unit Planning, Draw story board, post-its are your best friends!

DOING PROJECTS vs. PBL

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WHAT DOES PBL LOOK LIKE IN THE MATH CLASSROOM? LET’S EXAMINE PIMP MY RIDE: ALGEBRA 2 PBL UNIT

+Principles to Action: Mathematics Teaching Practices •  Establish mathematics goals to focus learning. •  Implement tasks that promote reasoning and

problem solving.

•  Use and connect mathematical representations. •  Facilitate meaningful mathematical discourse.

•  Pose purposeful questions.

•  Build procedural fluency from conceptual understanding.

•  Support productive struggle in learning mathematics.

•  Elicit and use evidence of student learning.

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+

Where are the key PBL tools in the Problem Solving Process?

STEPS TOOLS Phase 1: Define the Problem

Entry Event, Knows & Need-to-Knows, Problem Statement

Phase 2: Solution Criteria

Standards, Rubric, Group Contracts Phase 3: Solution Research

Where are the key PBL tools in the Problem Solving Process?

Phase 4: Select a Solution Protocols for feedback on ideas, evaluation and decision-making tools, rubric

Phase 5: Implement and Run Solution Final products

Phase 6: Reflect on Solution

Self-assessment, summative assessments, class and personal reflection

Community Partner, appropriate activities and content scaffolding, 21st century skill scaffolding, proposals

+ Pimp My Ride Driving Question

How do we as… recent college graduates decide on the best vehicle to purchase so that I do not incur loans or debt?

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+Example Entry Document “Pimp My Ride” PBL Unit

Common  Core  State  Standards:  Mathema0cs  addressed  in  this  Unit  

•  Construct  and  compare  linear,  quadra0c,  and  exponen0al  models  and  solve  problems  

•  Understand  the  concept  of  a  func0on  and  use  func0on  nota0on  

•  Interpret  expressions  for  func0ons  in  terms  of  the  situa0on  they  model  

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Common Core Mathematical Practices addressed in this Unit •  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 express regularity in repeated

reasoning.

“Pimp My Ride” Project Rubric

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Affordability  Deprecia1on/resale  value  

2005  BMW  325    2D  Conver1ble  

$16,998  68,000  Miles  18/26  MPG  

   

2009  Honda  Accord  EX  4D  Sedan  $19,998  

30,000  Miles  21/30  MPG  

 

2008  MINI  Cooper  S    2D  Hatchback  

$19,599  36,000  Miles  26/34  MPG  

 

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1   2   3   4   5   6   7   8   9   10   11  0  

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1   2   3   4   5   6   7   8   9   10   11  0  

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1   2   3   4   5   6   7   8   9   10   11  

Es1mated  deprecia1on  (shown  in  orange)  assumes  a  15%  loss  each  year  Actual  car  values  (shown  in  Purple)  are  obtained  from  the  Kelly  Blue  Book  

+ Successes with the Unit

n Students came away with sound understanding of the mathematics involved in the car buying process n Modeling Depreciation n Understanding Interest n Vocabulary

n Students were highly engaged with the project.

n Presentations

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+ Challenges with the Unit

n Time element!!!

n Translating skills from application to computation

n Keeping the math in front

n My own anxieties about the project

+ The Dream Project

n Entry event in which the students visit a car dealership and discuss the car buying process.

n Real world contacts, checkpoints, and rewards.

n Cross curricular with English and Economics classes.

n More time to add depth to the study.

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+

http://www.bie.org

Resources http://www.edutopia.org

+ Resources

www. pblu.org

http://www.rose-prism.org/moodle/prism/icpbl

http://www.innocentive.com Mathalicious.com

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+Questions & Discussion

1. How might you use this unit to uphold the Principles to Action Mathematics Teaching Practices?

2. What are some successes and hardships of PBL?

3. What do teachers need to to attend to when implementing PBL instruction?

+Contact Information

Jean Lee [email protected]

Crystal Collier [email protected]

Assess to Pimp My Ride PBL Unit: https://drive.google.com/folderview?

id=0BxX5vFSDZ1g9SENRek9YVzluc3M&usp=sharing

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Tips for a great conference! Rate this presentation on the conference app www.nctm.org/confapp Download available presentation handouts from the Online Planner! www.nctm.org/planner Join the conversation! Tweet us using the hashtag #NCTMIndy