http:// atch?v=umcbiibzvx0. without cracking up!
TRANSCRIPT
http://www.youtube.com/watch?v=UmCbiibZvX0
Cracking The
Without Cracking Up!
Introduce Yourself to Someone You Don’t Know and Share Your Goal For Institute With Them!
What Is The Common Core?
http://www.youtube.com/watch?v=g5ktLyHDjL4
Why the Common Core?
College Readiness: 4 Year Gap H. School to College Texts
40 Million + Movers Annually
62% of Jobs Require a Postsecondary Credential
College Math Readiness
44 State Power
The “Core of the Core” Is The
A + Countries United States
The shape of math in A+ countries
1 Schmidt, Houang, & Cogan, “A Coherent Curriculum: The Case of Mathematics.” (2002).
Key Shifts: Shift 1 - Focus
Focus instruction strongly where the standards focus
Deeper Learning:“Deep, Not Wide”
Fewer Topics
K 12
Number and Operations
Measurement and Geometry
Algebra and Functions
Statistics and Probability
Key Shifts: Shift 2 - Coherence
Coherence: Leading to Algebra
Operations and Algebraic Thinking
Expressions and Equations
Algebra
Number and Operations—Base Ten
The Number System
Number and Operations—Fractions
K 1 2 3 4 5 6 7 8 High School
Key Shifts: Shift 3 - Rigor
Rigorous?
Webb’s Depth of Knowledge
DOK Level 1
Ms. Nguyen is a real estate agent. One of her clients is considering buying a house in the Silver Lakes area, where 6 houses have recently sold for the following amounts: $160,000; $150,000; $185,000; $180,000; $145,000; $190,000. What should Ms. Nguyen report as the Median price of these houses?
1) $160,0002) $170,0003) $180,0004) $190,0005) Not enough information is given.
Then - 2002 GED® test
Note: Method for determining median was provided in the test booklet.
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At your table:
1. Solve both problems2. Discuss the similarities/differences between the two problems3. How is the GED 2014 problem more complex?4. What will we have to do in our classrooms to prepare students to solve the GED 2014 problem?
Ms. Nguyen is a real estate agent. One of her clients is considering buying a house in the Silver Lakes area, where 6 houses have recently sold for the following amounts: $160,000; $150,000; $185,000; $180,000; $145,000; $190,000. What should Ms. Nguyen report as the Median price of these houses?
1) $160,0002) $170,0003) $180,0004) $190,0005) Not enough information is given.
Then - 2002 GED® test
Note: Method for determining median was provided in the test booklet.
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Now – 2014 GED® test
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Where Improper Fractions Go to Bank . .
All Roads Lead to Algebra
Algebra 1 – Most Frequently Failed Class of High School DropoutsAlgebra – The Skill Most Associated with Postsecondary and Employment Success
How do We Develop Algebraic Thinking in Our Students?
What Does “Common Core Friendly” Instruction Look Like?
https://www.teachingchannel.org/videos/common-core-state-standards-high-school?resume=0
Standards for Mathematical Practice
Discuss:
How can you incorporate these standards in your classroom?
Which ones seem hardest/easiest for students to do?
What Does “Common Core Friendly” Instruction Look Like?
How Did This Instructor Use Questions?
What Did He Mean By, “Sometimes the Best Thing I Can Do is Walk Away?
How Did He Use Disagreements?
https://www.cuny.edu/academics/programs/notable/CATA/cti-cunystart/cunystart-resources-pubs/videos.html
Great Math Questions:
What does this mean/How did you get this?
Why did you decide to . . . . ?
Is there another idea you might try?
Do you have any ideas about how you might figure out?
Others?
At Your Table, Solve This “Messy Problem”
Tavares bought 2 things on sale.
One item was 10% off and the other item was 20% off.
He says he saved 15% altogether.
Could Tavares be right? Explain
Could Tavares be wrong? Explain
Problem Solving In Your Classroom
…. reflect on their thinking and consolidate new mathematical ideas and problem solving solutions?
What opportunities do your students currently have to grapple with non-routine complex tasks and to…
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How Many Teach Students Problem Solving Strategies?
Polya’s Four Steps to Problem Solving
Teach Problem Solving Strategies!
Polya, George. How To Solve It, 2nd ed. (1957). Princeton University Press.
Understand the problem
Devise a plan
Carry out the plan
Look back (reflect)
Using the Polya Method, Solve This Problem
Two painters can paint 2 rooms in 2 hours.
If 12 rooms have to be painted in 6 hours, how many painters do you need?
One Way to Figure the Answer:
Rooms Work Hours2 4
12 24
Painters = P
6 Hours * P = 24 Work Hours
6P = 24
P = 4
How Common Core Friendly is the Lesson Plan You Created for Homework?
Does it Focus Where the Standards Focus?
Do Students Use the Standards of Mathematical Practice?
Does it Encourage Deep Understanding?
Are Students Processors or Just Receptors of Information?
NAEPDC 201334
Common Core Myth Busters
I am going to have to change everything I do!
Common Core Help
www.illustrativemathematics.org