Integrating Mathematical Practices K-12. Gila County Teacher Institute Gail Gorry & Deb Leverance June 1, 2012. Agenda. Background of Common Core Explore the Mathematical Practices Discover Level of Knowledge Develop a Mathematical Practice Integrated Lesson. Where Are You Now?.
Gila County Teacher Institute
Gail Gorry & Deb Leverance
June 1, 2012
Background of Common Core
Explore the Mathematical Practices
Discover Level of Knowledge
Develop a Mathematical Practice Integrated Lesson
How comfortable do you feel implementing the 2010 Arizona Mathematics Standards?
How knowledgeable are you about the components and how to access them?
___The CCSS are a national curriculum.
___ The CCSS represent a modest change from current practice.
___ The CCSS will transform schools.
The Partnership for Assessment of Readiness for College and Careers (PARCC)
Is a PARCC Governing State
Will be Pilot State for Assessment Development
Starts Computer/Performance based testing in 2014/2015
Follows the 2008 Math Standards format
your earlier discussion?
K = p.21 1st = p.21 2nd = p.20
3rd = p.27 4th = p.33 5th = p.37
6th = p.44 7th = p.30 8th = p.31
9th-12th = p.122
Hess’ Cognitive Rigor Matrix
describes the type of thinking involved, not whether it will be completed correctly
applies Webb’s Depth of Knowledge to Bloom’s Cognitive Process Dimensions
identifies cognitive levels of student activities and test questions
Involves multiple levels (sometimes) in one activity
Analyze the following chart entitled, “The Speed of Indy 500 Cars per Lap” and be ready to share your conclusions.
Retrieve information from a table or graph.
Gather information about the speed of vehicles in your neighborhood. Analyze and evaluate the information in a presentation of your choice to the class.
Compare and contrast the data from 1985 to 2010 from the following table.
Your team will be assigned a verb from Bloom’s Revised Taxonomy. Design activities that will fill the matrix (Levels 1-4) for your assigned verb.
Make a chart and be ready to share with the entire group.Design activities to fill the matrix
Cognitive Demand (Expectations for Student Performance)
of Mathematical Ideas
Here’s the link to the videos:
http://www.learner.org/resources/series33.html?pop=yes&pid=921# hexominoes – 5th gr geometry
http://www.learner.org/resources/series32.html?pop=yes&pid=879# 2nd gr marshmallows
http://www.learner.org/resources/series33.html?pop=yes&pid=921# rods and rafts – surface area
http://www.learner.org/vod/vod_window.html?pid=925 bungee jumping
Note mathematical practices.
Discuss teacher/student actions and words.
What DOK levels were illustrated?
How do these activities compare to the learning activities in your classroom?
Choose a math standard.
Develop a lesson imbedding mathematical practices.
Write the specific guiding questions.
Share your common core math lesson outline.
7 NS 3 Solve real-world and mathematical problems involving the four operations with rational numbers, (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.)
Discover level of knowledge
Investigate the format of the 2010 Math Standards
Explore and use the Mathematical Practices
Develop a “math practices” focused lesson