mathematics in california sheri willebrand kathlan latimer cmc president cmc president elect camsp...

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Mathematics in California

Sheri Willebrand Kathlan Latimer CMC President CMC President Elect

CaMSP April 4, 2011

WELCOME

Common

Core

California

Standards


are needed to see this picture.Broad brush strokes:

CaCCSSM



Before 1997… What do you remember?

Before there were standards….

Rubrics

Replacement Units

O-E Problems

Mathematical Power

Writing in Math

Justify Thinking

Making Sense



We had a VISION….

Math in Context

Programs were scripted, pacing guides drove instruction…

because of testing, testing, testing.

The 1997 CA standards gave teachers permission to teach skills and procedures.


are needed to see this picture.Then came the standards….



The right to ignore anything that doesn’t make sense is a crucial element

of any child’s learning--and the first right children are likely to lose when they

get to the controlled learningenvironment of school.

Frank Smith



Unintended outcome….

° Research ° ° ° NAEP °

What number would you place in the box to make a true number sentence?

8 + 4 = [ ] + 5

What are possible student answers?

National Assessment Educational Progress

° Research ° ° ° From: Falkner, Levi & Carpenter, 1999°

Response / Percent Responding

Grade 7 12 17 12 and 17

1 & 2 5% 58% 13% 8%

3 & 4 9% 49% 25% 10%

5 & 6 2% 76% 21% 2%



New California Standards

State Board of Education adopted new

mathematics standards.


are needed to see this picture.August 2, 2010

California Common Core State Standards

(CaCCSS)

TIME TO CELEBRATE!


are needed to see this picture.August 2, 2010

Where did the new mathematics standards

come from?



COMMON CORE STATE STANDARDS INITIATIVE

A Collaboration With:

COMMON CORE STATE STANDARDS (CCSS)

Final version released in June 2010.

www.corestandards.org

Criteria for CCSS

• Fewer, clearer, and higher standards

• Aligned with college and work expectations

• Include rigorous content and application of knowledge through high-order skills

Criteria for CCSS

• Build upon strengths and lessons of current state standards

• Internationally benchmarked

• Based on evidence and research


Adoption of CCSS is required for

Race to the Top funds.

California applied for Race to the Top

and adopted the CCSS.


States that choose to align their standards to the common core standards must

accept 100% of the core.States may add additional standards.

California added about 15%.

Common Core State Standards:


are needed to see this picture. Key ideas…

Focused

Coherent

Rigorous

Develops Concepts

Internationally Benchmarked

Prepare for College & Career


are needed to see this picture.Common Core Standards for Mathematics

Two Types of Standards• Mathematical Practice

recurring throughout the grades

• Mathematical Content

different at each grade level


are needed to see this picture.Example of an Overview Page

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The Standards for Mathematical Practice

Define habits of mind of a Mathematically expert student.

A Place to Start

Adding it Up, 2001


are needed to see this picture. Strands of Mathematical Proficiency





“ …describe ways in which developing student practitioners of the discipline of mathematics increasingly ought to engage with the subject matter as they grow in mathematical maturity and expertise throughout the elementary, middle and high schools years.”

CCSS pg. 2

Standards for Mathematical Practice

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


are needed to see this picture.Standards for Mathematical Practice

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


are needed to see this picture.Standards for Mathematical Practice



The Standards for Mathematical Content

K - 5 ° 6 - 8 ° HS

A Quick Overview



K – Grade 5 Domains

Domain K 1 2 3 4 5

Counting and Cardinality (CC) Operations and Algebraic Thinking (OA) Number and Operations in Base Ten (NBT)

Measurement and Data (MD)

Geometry (G) Number and Operations – Fractions (NF)



Grades 6 – 8 Domains

Domain 6 7 8

Ratios and Proportional Relationships (RP)

The Number System (NS)

Expressions and Equations (EE) Geometry (G) Statistics and Probability (SP)

Functions (F)


are needed to see this picture.Format of K-8 Standards

Grade Grade LevelLevel

DomainDomain

How the grade level standards are organized



Format of K-8 Standards

ClusterCluster

ClusterCluster

StandardStandard

StandardStandard



The added Standards from 1997 Standards (15%)

are bold, underlined and the source indicated.

CaCCSSM Added Standards



CC Domains CA Strands Operations and Algebraic

Thinking Number and Operations

in Base Ten Number and Operations –

Fractions

Algebra and Functions Number Sense

Measurement and Data Measurement and Geometry

Geometry Statistics, Data Analysis, and Probability

Mathematical Practices Mathematical Reasoning

K – 5 CC Domains & CA Strands



Mathematics Grade 8

“The California State Board of Education acknowledges that the goal for 8th grade students is Algebra I. However, they also recognize that not all 8th grade students have the necessary prerequisite skills for Algebra I. Consequently, the State Board of Education adopted two sets of standards for 8th grade.

“The first set describes standards for Algebra I.



Mathematics Grade 8 (continued)

“The second set of standards is from the 8th grade Common Core document published June 2, 2010. These standards are for 8th grade students who do not have the necessary prerequisite skills for Algebra I. The goal of the 8th grade Common Core is to finalize the mathematics preparation for students in high school.

“There is some duplication of standards between grades and courses that will be resolved in the frameworks/instructional materials development process.”



High School Mathematics

The high school standards are listed in conceptual categories:

Number and QuantityAlgebraFunctionsModeling GeometryStatistics and Probability

These are not courses.


are needed to see this picture.Conceptual Category Overview


are needed to see this picture.Format of

High School Standards

Conceptual Category

Standard

Cluster

Domain



Available at http://www.corestandards.org/the-standards

The new standards have a greater expectation

for depth of understanding.

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CaCCSSM

What is important to know right now?



Fractions on a

Number LinePrimary number

Next Steps

Mathematical Modeling

Transformational

Geometry

Number line in Quantity and measurement

Number line in Quantity and measurement

Equal PartitioningEqual Partitioning

FractionsFractions

Rational numberRational number

Properties of OperationsProperties of Operations

Rational ExpressionsRational Expressions

K - 2 3 - 6 7 - 12

Unitizing in base 10 and in

measurement

Unitizing in base 10 and in

measurement

Rates, proportional and linear relationships

Rates, proportional and linear relationships



Now What?


are needed to see this picture.CaCCSSM: FIRST STEP

• Educators must be given resources, tools, and time to adjust classroom practice.

• Instructional materials needed that align to the standards.

• Assessments must be developed to measure student progress.

• Federal, state, and district policies will need to be reexamined to ensure they support alignment of the common core state standards with student achievement.



Two Assessment Consortia Awarded Funds

States Distribution





Next Steps

• Frameworks and instructional materials • Assessments • Professional development• Teacher Credentialing • Parent Education

Check out the

CMC website:

www.cmc-math.org



To Learn More:


are needed to see this picture.What Now?

–Implement a truly balanced math program as this will support the mathematical practices

–Continue to use quality assessments to inform and drive effective instruction

–Provide opportunities for teachers to collaborate and plan

Stay the Course…

People



What will make the difference?

TeachersThat is US!!

Overall General Strategy


are needed to see this picture. Thank You!

Sheri Willebrand

[email protected]

Kathlan Latimer

[email protected]

mailto:[email protected]

mailto:[email protected]

mathematics in california sheri willebrand kathlan latimer cmc president cmc president elect camsp...

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