Steve Schmidt (PowerPoint)

Report
http://www.youtube.com/w
atch?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
College Math Readiness
62% of Jobs Require a Postsecondary
Credential
40 Million + Movers Annually
44 State Power
The “Core of the Core” Is The
The shape of math in A+ countries
A + Countries
United States
1 Schmidt,
Houang, & Cogan, “A Coherent Curriculum: The Case of
Mathematics.” (2002).
Key Shifts:
Shift 1 - Focus
Focus instruction strongly where the
standards focus
Fewer Topics
Deeper Learning:
“Deep, Not Wide”
Key Shifts: Shift 2 - Coherence
K
Number and
Operations
Measurement
and Geometry
Algebra and
Functions
Statistics and
Probability
12
Coherence: Leading to Algebra
Operations and Algebraic
Thinking
Expressions
 and
Equations
Number and Operations—
Base Ten

K
1
2
3
4
Algebra
The Number
System
Number and
Operations—
Fractions



5
6
7
8
High School
Key Shifts: Shift 3 - Rigor
Rigorous?
Webb’s Depth of Knowledge
DOK Level 1
Then - 2002 GED® test
At your
table:
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. Solve both problems
2. Discuss the similarities/differences
1) $160,000
between the two problems
2) $170,000
3) $180,000
3. How
is the GED 2014 problem more
4) $190,000
5) Not enough information is given.
Note: Method for
complex?
determining median was
provided
inour
the test
4. What will we have to do
in
booklet.
classrooms to prepare students to
solve the GED 2014 problem?
17
Then - 2002 GED® test
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)
2)
3)
4)
5)
$160,000
$170,000
$180,000
$190,000
Not enough information is given.
Note: Method for
determining median was
provided in the test
booklet.
18
Now – 2014 GED® test
19
Where Improper Fractions Go to
Bank . .
All Roads Lead to Algebra
Algebra 1 – Most Frequently Failed Class of
High School Dropouts
Algebra – 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-highschool?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/cticunystart/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
What opportunities
do your students
currently have to
grapple with nonroutine complex
tasks and to…
…. reflect on their
thinking and
consolidate new
mathematical ideas
and problem solving
solutions?
28
How Many Teach Students Problem
Solving Strategies?
Teach Problem Solving Strategies!
Polya’s Four Steps to Problem Solving
Understand
the problem
Look back
(reflect)
Devise a
plan
Carry out
the plan
Polya, George. How To Solve It, 2nd ed. (1957). Princeton
University Press.
30
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
2
12
Work Hours
4
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?
34
NAEPDC 2013
Common Core Myth Busters
I am going to have to change everything I do!
Common Core Help
www.illustrativemathematics.org

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