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CCSS Toolkit: Mathematics - Shift 4
CCSS Toolkit: Mathematics - Shift 4
CCSS Toolkit - Math Teachers: Awareness & Transition
Introduction to the CCSS
Shift 1: Focus
Shift 2: Coherence
Shift 3: Procedural Fluency
Shift 4: Deep Conceptual Understanding
Shift 5: Applications/Modeling
Shift 6: Balanced Emphasis
Implementation
Evaluate & Refine
Resources
Math Toolkit
Toolkit Home
Shift 4: Deep Conceptual Understanding
Deep conceptual understanding of core content at each grade is critical for student success in subsequent years. Students with conceptual understanding know more than isolated facts and methods - they understand why a mathematical idea is important and the contexts which it is useful. Teachers take time to understand the Standards for Mathematical Practice that describe the student expertise needed to develop a deep conceptual understanding of mathematics. (NRC, 2001, p. 118; CCSSM, 2010, p. 4, 6-8)
Awareness & Understanding
Understand the Standards for Mathematical Practice
Take time to understand how the Standards for Mathematical Practices describe student outcomes that deepen mathematical conceptual understanding
Videos
The Importance of Mathematical Practices
Mathematical Practices, Focus, and Coherence in the Classroom
CCSS Mathematics Videos (SEDL)
Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard, although the examples can be adapted for instructional use.
Tools
Mathematics Module 1 -
Sessions 4.1 & 4.2
Watch Math Instruction that Reflects the Practices
Begin observing instruction through the lens of the Mathematical Practices. Focus both on student work and teaching strategies as you observe instruction.
Resources
Inside Mathematics
CCSSM Instructional Videos
To view these videos, please scroll down to the "Mathematically Proficient Students" graphic at the bottom of the page.
Mathematics Module 1 -
Session 4.3
Example Observation Protocol
Observation Protocol (Blank)
NCSM Math Practices Webinar
Join a CCSS Learning Community
Leverage resources and discussions happening locally and nationally to support implementation of the CCSS.
Implementing Common Core State Standards (Ed Web)
CCSS for Mathematics Blog
ODE Mathematics Teacher Newsletter
Transition
Introduce Math Vocabulary
Begin using vocabulary terms aligned with the CCSS in your classroom
Tools
CCSSM Vocabulary Cards
Source: Granite School District
Mathematics Word Wall
Source: Florida Department of Education
Leverage Online Materials
Review online resources and lessons to enrich your classroom activities
Tools
National Library of Virtual Manipulatives
SHODOR Activities and Lessons
Technology Problem of the Week
Source: The Math Forum@Drexel
Contacts
Mark Freed
(503) 947-5610
Teaching & Learning Team - Education Specialist
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