K-12 Mathematics Common Core State Standards

Take 5 minutes to read the Introduction.

Popcorn out one thing that is confirmed for you.

Lessons Learned After two decades of standards based

accountability:Too many standardsLack of student motivation“Cover” at “pace” is a failure

Tells teachers to ignore studentsTurn the page regardlessShrug your shoulders and do what “they” sayMathematics is not a list of topics to cover

Singapore: “Teach less, learn more”

Lessons Learned TIMSS: math performance in the US is being

compromised by a lack of focus and coherence in the “mile wide, inch deep” curriculum

Hong Kong students outscore U.S. students on the grade 4 TIMSS, even though Hong Kong only teaches about half of the tested topics. U.S. covers over 80% of the tested topics.

High-performing countries spend more time on mathematically central concepts: greater depth and coherence.

Answer Getting vs. Learning Mathematics

United StatesHow can I teach my kids to get the

answer to this problem? Use mathematics they already know. Easy,

reliable, works with bottom half, good for classroom management [so they could pass the test].

JapanHow can I use this problem to teach

mathematics they don’t already know?

Teaching Against the Test

3 + 5 = [ ]

3 + [ ] = 8

[ ] + 5 = 8

8 - 3 = 5

8 - 5 = 3

Teaching for Understanding

3 + 5 = 8

What is the relationship between

8 – 3 = 5 and 3 + 5 = 8?

Overview of K-8 Mathematics Standards

•The K-5 standards provide students with a solid foundation in whole numbers, addition, subtraction, multiplication, division, fractions and decimals

•The K – 8 standards describe robust learning in geometry, algebra, and probability and statistics

•Modeled after the focus of standards from high-performing nations, the standards for grades 7 and 8 include significant algebra and geometry content

•Students who have completed 7th grade and mastered the content and skills will be prepared for algebra, in 8th grade or after

How to Read the Standards: K-8

introduction (see page 13)

How to Read the Standards: K-8

Overview (see page 14)

How to Read the Standards: K-8 Domains are larger groups of related standards. Standards from different domains

may sometimes be closely related.

DOMAIN

STANDARD

CLUSTER

• Standards define what students should understand and be able to do.

• Clusters are groups of related standards. Note that standards from different clusters may sometimes be closely related, because mathematics is a connected subject.

How to Read the Standards: K-8 Please take a moment to review the Overview. Role Play(KCC Counting and Cardinality) Please discuss with an elbow partner the principal’s response. A Deeper Look at the Geometry Domain Lunch

Go Figure

There are 125 sheep

and

5 dogs in a flock.

How old is the shepherd?

A Student’s ResponseThere are 125 sheep and 5 dogs in a flock.

How old is the shepherd?

125 x 5 = 625 extremely big

125 + 5 = 130 too big

125 - 5 = 120 still big

125 5 = 25 That works!

Standards for Mathematical Practice1. Make sense of problems and persevere

in solving them.2. Reason abstractly and quantitatively.3. Construct viable arguments and

critique the reasoning of others.4. Model with mathematics.5. Use appropriate tools strategically.6. Attend to precision.7. Look for and make use of structure.8. Look for and express regularity in

repeated reasoning.

Activity: Looking at Student Work

Examine the piece of student work through the lens of 3 types of Standards:

Mathematical Performance: what kids should be able to do:

Mathematical Understanding: ability to justify why a statement is true or where a mathematical rule comes from

Mathematical Practices

1. Make sense of problems and persevere in solving them.

2. Reason abstractly and quantitatively.

3. Construct viable arguments and critique the reasoning of others.

4. Model with mathematics.

5. Use appropriate tools strategically.

6. Attend to precision.

7. Look for and make use of structure.

8. Look for and express regularity in repeated reasoning.

Analyze the task with the lens of the standards.

VIDEOS

We will view a video clip of a third grade teacher through the lens of three types of standards:

Mathematical PerformanceMathematical UnderstandingMathematical Practice

Geometry Assessment Samples

Please take a moment to review the samples of Geometry questions from the 2009 NAEP exam (http://nces.ed.gov/nationsreportcard/).

We will use these to determine next steps in planning for CCSS.

Activity: ImplicationsEach table prepares a list of the five most

important changes they see as a result of the Math Standards for each of the 5 levers.

1. Curriculum: What are the academic tasks (content, knowledge, skills) that we ask students to do?

2. Pedagogy: How do teachers support student learning?

3. Assessment: How do we know students are learning?

4. Collaboration: How do adults learn and improve their practice?

5. Structure: How do we use time, space, technology, and other resources to enable student learning?