PowerPoint Presentation

The Common Core and Cognitively Guided Instruction - How to Promote Deeper Mathematical Understanding

Marcia TorgrudeTIE K-12 Math Specialistmtorgrude@tie.net

www.tie.net8:00-8:15Math activity opener I HaveWho HasWe are going to begin the day with a little math activity to get us thinking about the math.We will connect back to this activity later on this morningI havewho has cdsOne set of I HaveWho has1OutcomesBuild a deeper understanding of the Common Core Standards and Standards of Mathematical PracticeDefine Cognitively Guided InstructionFind Connections between SMP and CGIPractice Math Talks and Doing the Math to Apply the SMP and CGIConnect the CCSS, SMP and CGI to your Curriculum

www.tie.net8:15-8:30Introductions and prior knowledge of CCSSM-SMP-CGIAgendaAgenda handout

2Agenda8:00-8:15Math Activity8:15-8:30Introductions8:30-9:00Common Core and SMP Refresher9:00-10:30What is Cognitively Guided Instruction?10:30-11:00SMP and Student Proficiency11:00-11:30How do CGI and the SMP connect?11:30-12:30Lunch12:30-1:30Math Talks to develop mental strategies1:30-2:00Doing the Math Multiplication-modeling to algorithm2:00-2:15Break2:15-3:15Connecting the CCSS, SMP and CGI to your curriculum3:15-3:30Closure

www.tie.netCommon Core RefresherPerson facing screen gives cluesPerson facing away guesses the word or phrase

www.tie.netCommon CoreReasoningToolsAbstractPrecisionStructurewww.tie.netCommon CoreStandards of Mathematical PracticePersevereQuestioningConcreteModeling

www.tie.netCommon Core State StandardsNumber and OperationsFor Your Grade Level:What remains the same?What has changed?Write the Instructional Focus for your gradeLarge Group:What is the progression?SD Common Core Site - http://sdccteachers.k12.sd.us/www.tie.net8:30-9:00Common Core State StandardsNumber and OperationsFor Your Grade Level:What remains the same?What has changed?Write the Instructional Focus for your gradeLarge Group:What is the progression?Take to SDCCTeachers websiteSomething to consider how does your curriculum align to this blueprint? Does your curriculum have Instructional focuses with clusters of standards to met within one lesson?

CCSSPoster PaperSMPSMP Posters from BlueprintWebsite

7What do the SMP Look Like?If we do things well, the teaching and learning will look different!Focus on your Standard of Mathematical Practice to respond to the questions:What will the student be doing?What will the teacher be doing?Provide an example of an activity or event in the classroom that exemplifies your SMPsPost on Chart Paperwww.tie.netSMPRefresher and connections for those who have not attended trainings4 groups for each pair of connecting SMP develop an activity or find one in your curriculum that would focus on your SMPsLarge Group Share

8I Have . Who HasWhich SMP did we focus doing this activity?What content standard would have been the focus here?Locate the grade level and standards being met with the activitywww.tie.netI Have ---Who HasWhich SMP did we use as we were doing I Have .Who HasWhat was our content standard focus in this activityLocate the grade level and standards being met with the activity

9Defining Cognitively Guided InstructionVideo observationsWhat is the student saying and doing?What questions is the teacher asking?What big ideas do the teachers bring out in their coaching sessions?

Childrens Mathematics: Cognitively Guided Instruction, Wisconsin Center for Educational Research, University of Wisconsin-Madison

www.tie.net9:00-10:30 Break inclusiveDefining CGI CharacteristicsCGI - Video 5 Reflections What is the student saying and doing and what is the teacher saying and doing CGI Video 1 9:16-24:50Write big ideas, ahas, questionsDiscussion refer to the glossary in the CCSS to show how CGI has played a role in the new standardsVideo 5 Annie Keith 4 and 5Video 7 1 and 2Video 1 9:16-24:50Recording sheet for video 5 and 7Recording sheet for video 1Definition and Characteristics handoutRefer to glossary in CCSS

10Break

www.tie.netDefining Cognitively Guided InstructionVideo observationRecord words or phrases that might describe CGIWhat questions come to mind as you watch the video?

Childrens Mathematics: Cognitively Guided Instruction, Wisconsin Center for Educational Research, University of Wisconsin-Madison

www.tie.net12Strategies for Proficiency of the SMPWhat are the Strategies for Proficiency?Did you see these actions in the videos?Do you use them in your classroom and what were the outcomes?

www.tie.net10:30-11:00Strategies for Proficiency of SMPGo over these charts and discuss each of the strategiesDid you see these in action in the videos Do you use them in your classroom and how has that worked?We will continue this practice throughout the rest of the day as we Do the Mathematics through Math Talks and Math Activities.

13CGI and SMP ConnectionsBoth are how students learn and how teachers guide that process it is NOT about any one curriculum

Read 10 Things Jordyns Math Teacher Needs to KnowCompare the CGI characteristics and SMP where are the connections?What are you already doing in your classroom? What do you want to begin doing?Is there one particular characteristic of CGI or SMP you want to focus on, then grow from there?www.tie.net11:00-11:30How do CGI and SMP connect?Read 10 Things Jordyns math Teacher Needs to KnowCompare the CGI and SMP where are the connectionsLarge Group discussionThink about how changing pedagogy can deepen understanding with any curriculumWhat are you already doing in your classroom? What do you want to begin doing in your classroom? Is there one particular characteristic of CGI or one particular SMP you want to focus on, then grow from there?10 Things handoutReflection Handout

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www.tie.netMath Talks and QuestioningMentally think of a strategy to solve this problem:61-48www.tie.net12:30-1:30Math Talks and QuestioningSubtraction Math Talk465-129Mentally think of a strategy to solveShow video of students solution strategies

What are the students doing in terms of SMP and where does CGI fit in?Readings for later maybe you could do a reading and group conversation at a later time or within a staff meeting. What does this mean for us? How does our Envision curriculum support this thinking?Videos for two problemsChart paperMarkersQuestioning HandoutReadings green and yellowQuestioning Handout

16Math Talks and QuestioningWe grew up knowing ONE algorithmU.S. focus on a single algorithm had unfortunate results.Many people did not use this algorithm Other ways of solving were hidden not considered the right or acceptable wayObscured the base ten structure and propertiesFocus is on individual digits, not on whole quantities and relationships among quantitiesThe central learning goal is mastering a series of steps rather than understanding the meaning and use of the mathematical operationLost the knowledge students were developing on their own to solve problemsTeachers who want to change have no images from which to drawwww.tie.netMath Talks and QuestioningMentally think of a strategy to solve this problem:5x14www.tie.netMultiplication Math Talk5x14Mentally solve and share strategiesShow video18Math Talks and QuestioningWhat are the students doing in terms of the SMP?Where does CGI fit in?What does this mean for you?How does the Envision Curriculum support this thinking?www.tie.netDoing the MathBuilding Multiplication Understanding Base 10 BlocksArraysExpanded number formConnections to the traditional algorithm

www.tie.net1:30-2:00Doing the MathBuilding an understanding of multiplication from modeling with base ten blocks to Arrays to Expanded form connecting to Standard FormHow does this process help the students use the traditional algorithm that they have already been taught?B10Blockspaper

20Envisions Lesson with CGI and SMPSelect one lessonWhat common core standards are being addressed?What are your learning targets?What is your big question to begin the lesson?How would you explicitly use the SMP or CGI in this lesson?

www.tie.net2:00-2:15Break2:15-3:15Envision Lesson:Select one lessonCommon Core Standards Learning targetsHow would you explicitly use the SMP or CGI in this lesson? What is your big question?Could you do a math talk?How could students use their own strategies to solve the problem? What tools will you have available? Which of the classroom grouping strategies could you use?What questions will you focus on as you work with the students?Large group shareLesson development handout

21Envisions Lesson with CGI and SMPCould you do a math talk?How could students use their own strategies to solve the problem? What tools will you have available?Which of the classroom grouping strategies for proficiency could you use?What questions will you focus on as you work with the students?

www.tie.net2:00-2:15Break2:15-3:15Envision Lesson:Select one lessonCommon Core Standards Learning targetsHow would you explicitly use the SMP or CGI in this lesson? What is your big question?Could you do a math talk?How could students use their own strategies to solve the problem? What tools will you have available? Which of the classroom grouping strategies could you use?What questions will you focus on as you work with the students?Large group shareLesson development handout

22ClosureWhere do we go from here?What will you focus on in the coming weeks?What do you still need as a staff?

Exit Card

Final Reading Never Say Anything a Kid Can Say!www.tie.net3:15-3:30Closure Where do we go from here?What will I focus on in the coming weeks?What questions will I use?What do I still need?Final Reading Never Say Anything a Kid Can SayExit Cards

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