The Common Core State Standards for Mathematics
description
Transcript of The Common Core State Standards for Mathematics
![Page 1: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/1.jpg)
The Common Core State Standardsfor Mathematics
![Page 2: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/2.jpg)
Common Core Development
• Initially 48 states and three territories signed on
• As of December 1, 2011, 45 states have officially adopted
• Final Standards released June 2, 2010, can be downloaded at www.corestandards.org
• Adoption required for Race to the Top funds
![Page 3: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/3.jpg)
Common Core Development
• Each state adopting the common core either directly or by fully aligning its state standards may do so in accordance with current state timelines for standards adoption not to exceed three (3) years.
• States that choose to align their standards to the common core standards accept 100% of the core. States may add additional standards.
![Page 4: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/4.jpg)
![Page 5: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/5.jpg)
Benefits for States and Districts
• Allows collaborative professional development based on best practices
• Allows development of common assessments and other tools
• Enables comparison of policies and achievement across states and districts
• Creates potential for collaborative groups to get more economical mileage for:– Curriculum development, assessment, and
professional development
![Page 6: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/6.jpg)
Characteristics• Fewer and more rigorous.
• Aligned with college and career expectations
• Internationally benchmarked
• Rigorous content and application of higher-order skills.
• Builds on strengths and lessons of current state standards.
• Research based
![Page 7: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/7.jpg)
Intent of the Common Core
• The same goals for all students
• Coherence
• Focus
• Clarity and Specificity
![Page 8: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/8.jpg)
Coherence• Articulated progressions of topics and
performances that are developmental and connected to other progressions
• Conceptual understanding and procedural skills stressed equally
NCTM states coherence also means that instruction, assessment, and curriculum are aligned
![Page 9: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/9.jpg)
Focus
• Key ideas, understandings, and skills are identified
• Deep learning of concepts is emphasized– That is, time is spent on a topic and on
learning it well. This counters the “mile wide, inch deep” criticism leveled at most current U.S. standards.
![Page 10: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/10.jpg)
Clarity and Specificity
• Skills and concepts are clearly defined
• Being able to apply concepts and skills to
new situations is expected
![Page 11: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/11.jpg)
CCSSM
CCSSM stands for
Common Core State Standards for Mathematics
![Page 12: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/12.jpg)
CCSSM Mathematical Practices
The Common Core proposes a set of Mathematical Practices that all teachers should develop in their students. These practices are similar to NCTM’s Mathematical Processes from the Principles and Standards for School Mathematics.
![Page 13: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/13.jpg)
8 CCSSM 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.
![Page 14: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/14.jpg)
8 CCSSM Mathematical Practices
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.
![Page 15: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/15.jpg)
Common Core Format
Domains are large groups of related standards. Standards from different domains may sometimes be closely related. Look for the name with the code number on it for a Domain.
![Page 16: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/16.jpg)
Common Core Format
Clusters are groups of related standards. Standards from different clusters may sometimes be closely related, because mathematics is a connected subject.
Clusters appear inside domains.
![Page 17: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/17.jpg)
Common Core Format
Standards define what students should be able to understand and be able to do – part of a cluster.
![Page 18: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/18.jpg)
Common Core Format
High School
Conceptual Category
Domain
Cluster
Standards
K-8
Grade
Domain
Cluster
Standards
(There are no preK Common Core Standards)
![Page 19: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/19.jpg)
Grade Level Overview
![Page 20: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/20.jpg)
Grade Level Overview
Critical Areas Critical Areas – similar to – similar to
NCTM’s NCTM’s Curriculum Curriculum Focal PointsFocal Points
![Page 21: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/21.jpg)
Format of K-8 Standards Grade Grade LevelLevel
DomainDomain
![Page 22: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/22.jpg)
Format of K-8 Standards
ClusterCluster
StandardStandard
ClusterCluster
StandardStandard
![Page 23: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/23.jpg)
Common Core - Domain
• Domains are overarching big ideas that connect topics across the grades
• Descriptions of the mathematical content to be learned elaborated through clusters and standards
![Page 24: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/24.jpg)
Common Core - Standards
• Standards are content statements. An example content statement is: “Use properties of operations to generate equivalent expressions.”
• Progressions of increasing complexity from grade to grade
![Page 25: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/25.jpg)
Common Core - Clusters
• May appear in multiple grade levels in the K-8 Common Core. There is increasing development as the grade levels progress
• What students should know and be able to do at each grade level
• Reflect both mathematical understandings and skills, which are equally important
![Page 26: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/26.jpg)
Additional Information
• For grades preK-8, a model of implementation can be found in NCTM’s Curriculum Focal Points
• For the secondary level, please see NCTM’s Focus in High School Mathematics: Reasoning and Sense Making
www.nctm.org/cfp
www.nctm.org/FHSM
![Page 27: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/27.jpg)
Acknowledgments
• Thanks to the Ohio Department of Education and Eric Milou of Rowan University for providing content and assistance for this presentation
![Page 28: The Common Core State Standards for Mathematics](https://reader035.fdocuments.net/reader035/viewer/2022062519/56814dd3550346895dbb313b/html5/thumbnails/28.jpg)