PA Core for Math

A Brief History• Big Picture of Mathematics• Common Core State Standards Initiative• National Governors Association• Council of Chief State School Officers

• PA Adoption July 2010• PA Core Standards• Aka PA Common Core Standards• Added Pre-K

Key Advances – Math •Focus and coherence• Focus on key topics at each grade level•Coherent progressions across grade levels

•Balance of concepts and skills• Content standards require both conceptual understanding and procedural fluency

Key Advances – Math •Mathematical Practices•Foster reasoning and sense-making in mathematics•Application•Dual Intensity

Standards for Mathematical Practice

• “The Standards for Mathematical Practice describe varieties of expertise that mathematics educators at all levels should seek to develop in their students. These practices rest on important ‘processes and proficiencies’ with longstanding importance in mathematics education.” CCSS, 2010

• “…an understanding that all is framed around the Standards for Mathematical Practice.” PA CCSM, draft, 2012

Standards for Mathematical Practice

Standards for Mathematical Practice

• Underline or circle the verbs.• What do you notice about the type of thinking?

• Look for phrases indicating• Reading• Writing• Speaking• Listening

• How is literacy embedded in the Mathematical Practices?

Structure of PA Core Standards for Math

RigorRigor is creating an environment in which each student is expected to learn at high levels, and each is supported so he or she can learn at high level, and each student

demonstrates learning at high level. 

(Blackburn, 2008).

Rigor•Higher Level Questioning•Rich Math Tasks• Instructional Expectations and Assignments•Proper Support at the Proper Times•Assessments•Webb’s Depth of Knowledge

Comparing Two Math TasksMartha’s CarpetingMartha was

recarpeting her bedroom which was 15 feet long and 10 feet wide. How many square feet of carpeting will she need to purchase?

Both tasks:Stein, Smith, Hennigsen, and Silver, 2000

FencingMs. Brown’s class will raise rabbits for their

spring science fair. They have 24 feet of fencing with which to build a rectangular rabbit pen to keep the rabbits.

a. If Ms. Brown’s students want their rabbits to have a s much room as possible, how long would each of the sides of the pen be?

b. How long would each of the sides of the pen be if they had only 16 feet of fencing?

c. How would you go about determining the pen with the most room for any amount of fencing? Organize your work so that someone else who reads it will understand it.

A Common Core Classroom•Deeper order thinking should be on show. With CCSS, it’s not enough for students to just memorize how to do something, in many cases they’re expected to know why.  Teachers should be challenging students to explain their thinking and to provide proof.

Summary provide by Association of American Educations www.aaeteachers.org

A Common Core Classroom• The classroom should be language-rich. It doesn’t matter what you teach anymore language skills are expected to be involved.  Reading, writing, and speaking skills should be practiced across the board and every classroom from elementary to high school, from self-contained to subject specific should be reflecting that.

Summary provide by Association of American Educations www.aaeteachers.org

A Common Core Classroom•Class time should be maximized. Not that teachers were doing this before, but with CCSS, even more than before, teachers need to be planning for “bell to bell” instruction, which is absolutely necessary to teach the more complex thinking skills associated with Common Core.

Summary provide by Association of American Educations www.aaeteachers.org

A Common Core Classroom• The atmosphere should be one of “create and learn,” not “sit and get.” In order to push the thinking skills associated with CCSS, students will need to be engaged in their lessons.  If all a student ever does is sit and take notes, they won’t be able to learn how to think.

Summary provide by Association of American Educations www.aaeteachers.org

A Common Core Classroom• Technology should be a part of learning. The CCSS specifically call for students to learn how to communicate and collaborate with others using technology.  Expect to see a greater push toward blogging, Twitter, and services like Google docs.

Summary provide by Association of American Educations www.aaeteachers.org

Resources• SAS Portal www.pdesas.org • Content Area Wiki http://cliu21cng.wikispaces.com • Inside Mathematics http://insidemathematics.org/• Mathematics Assessment Project

http://map.mathshell.org.uk/• Excellence in Education

www.barbarablackburnonline.com • EngageNY www.engageny.org• The Teaching Channel www.teachingchannel.org