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Welcome to Immersing Common Core Standards Using Early Numeracy Differentiated Workstations Tina Johnson numeracyrocks@yahoo.com (309)840-2234 March 23, 2012 61 st WIU Mathematics Teachers Conference 1
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Introductions All students have the right to appropriate math instruction and to experience the joy of math. Students are not to be molded to be somebody. They already are somebody possibly just like a starfish out of the water in the sinking sand waiting for someone to stop and care enough to put them back in the ocean …… to swim freely once more. March 23, 2012 Tina Johnson 2
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Goals Define early numeracy workstations and their purpose Differentiate groups using the Learning Framework in Number and the Common Core Standards Design the math workstation management board Discuss logistics of math workstations Design early numeracy workstations including common core standards Differentiate within the workstation Viewing workstations in action March 23, 2012 Tina Johnson Early Numeracy Differentiated Workstations 3
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What is an early numeracy math workstation? * can be extensions of whole group or small group lessons focusing on number * is used with small groups or occasionally with individuals * math activities designed to strengthen early numeracy concepts using data from the Learning Framework in Number and the Common Core Standards March 23, 2012 Tina Johnson Early Numeracy Workstations 4
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A solid math workstation will: Strengthen counting & number ID DOMAINS: Counting & Cardinality Number and Operations in Base Ten Promote automaticity with basic facts **ability to produce answers in a few seconds by relying on thinking of the relationships among the operations rather than recalling the answers DOMAIN: Operations and Algebraic Thinking March 23, 2012 Tina Johnson Early Numeracy Workstations 5
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A solid math workstation will: Promote subitization *recognize number of objects in a set without actually counting them; part/whole; nesting numbers; fact fluency; relationship of operations… DOMAINS: Counting & Cardinality Numbers and Operations in Base Ten Operations and Algebraic Thinking Mathematical Practice 2: Reason Abstractly and quantitatively March 23, 2012 Tina Johnson Early Numeracy Workstations 6
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A solid math workstation will: Promote flexibility with number *advanced stage of number sense; understanding how to add and subtract with strategies DOMAIN: Operations and Algebraic Thinking March 23, 2012 Tina Johnson Eary Numeracy Workstations 7
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Why use early numeracy math workstations? March 23, 2012 Tina Johnson Early Numeracy Workstations 8 Purposes of Workstations *Motivates the learner by engagement and building on student’s strengths *Promotes numeracy *Rehearses presented number concepts through exploration & discussion *Strengthens mathematical reasoning *Facilitates number talk *****Differentiates the instruction using flexible groupings to matching the student’s levels and poses some challenge to move the learner forward
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ONE SIZE DOES NOT FIT ALL Differentiate for the best fit March 23, 2011 Tina Johnson Early Numeracy Workstations 9
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A sound early numeracy workstation is not *worksheets done in small groups *paired tutoring *projects * rotating students to every station.. They engage in workstations that are at their zone of proximal development.. March 23, 2012 Tina Johnson Early Numeracy Workstations 10
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Planning For Flexible Groupings *Use data from a screener that focuses on number (LFIN), classroom observation, anecdotal records, and progressions of CCSS *identify students above, meeting, or below the target; group them using a data board *plan stations to meet their needs *plan how often to meet with groups March 23, 2012 Tina Johnson Early Numeracy Workstations 11
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Learning Framework in Number Screener assessment taken from an adapted version by Angela Andrews from Early Numeracy Assessment for teaching & intervention by Robert J. Wright, James Martland, & Ann K. Stafford March 23, 2012 Tina Johnson Early Numeracy Workstations 12 FNWS/ NWA BNWS/ NWB Number ID SEALBASE 10 EARLY MULTIPLI -CATION
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March 23, 2012 Tina Johnson Early Numeracy Workstations 13 Screener Levels & Stage Students Small Group Teacher Led/ Small Group Independent or Whole Group Below Target Level #ID At Target Level #ID Above Target Level #ID Below Target Level FNWS At Target Level FNWS Above Target Level FNWS Below Target Level BNWS At Target Level BNWS Above Target Level BNWS Below Target Level SEAL At Target Level SEAL Above Target Level SEAL Below Target Level base10 At Target Level base 10 Above Target Level base 10
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Use of a Data Board *Keeps instruction focused *Helps to guide whole and small group instruction *Tracks ongoing assessments *Tracks gain * Visually motivates student to set goals March 23, 2012 Tina Johnson Early Numeracy Workstations 14
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Management Board Design March 23, 2012 Tina Johnson Early Numeracy Workstations 15 *Allow for 5-6 small groups *For each group card, place 6 velcro dots *Color code each group card *Make nametags or picture/nametags for each group card *Allow for up to 3 rotations *Mark boundaries for the columns & rows *Make picture cards or photos to insert in text boxes to make the workstation tag for the management board and to label the tub *Place velcro dots on board for each station tag *Keep picture cards alphabetized in a container *Might use post it notes to mark leaders
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Logistics March 23, 2012 Tina Johnson Early Numeracy Workstations 16 The group is at the same location every time. The leader is responsible to get the math workstation and put it away at the end. The small group needs to help clean up and put the materials away in the tub. Establish math workstation guidelines and review them each day. Build in time to discuss the workstations at the end of each workstation period. Keep workstation materials in an accessible and organized location. Use clear labeled tubs.
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Logistics March 23, 2012 Tina Johnson Early Numeracy Workstations 17 Workstations are about 15 minutes in duration. After determining students in each group, pair the students by placing names across from each other on the group card.. or determine groups of three; try to avoid someone working independently every day. Establish a place for students to place their recording sheets after completion of each workstation.
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Designing Foundational Workstations Emphasizing Numeracy March 23, 2012 Tina Johnson Early Numeracy Workstations 18 Use materials showing quantity in a visually cognitively efficient way. CCSS for Mathematical Practice 2 Show multiple representations of the number. CCSS for Mathematical Practice 5 Use screened collections. CCSS for Mathematical Practice 2 Use materials that show structures of 5 & 10. CCSS for Mathematical Practice 7 Incorporate math talk cards. CCSS for Mathematical Practice 3
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March 23, 2012 Tina Johnson Early Numeracy Workstations 19. Use visually & cognitively efficient materials when teaching math foundations. CCSS for Mathematical Practice 2 * 80% of all information that comes in our brain is visual (Eric Jensen) *36,000 visual messages per hour can be registered by the eyes (Eric Jensen) *40% of all nerve fibers connected to the brain are linked to the retina (Eric Jensen) *best strategies for teaching text structures are visual- spatial strategies (ESL research Peregoy & Boyle) *Knowledge stored in 2 forms of linguistic & nonlinguistic. The more we use both systems of representation, the better we are able to think and recall knowledge (Robert Marzano)
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Designing Workstations Visually & Cognitively Efficient Materials Beadstrings 10, 20 & 100 Number Lines Structured in 5s/ 10s Beaded Number Line 5 Frames 10 Frames Double 10 Frames Dominoes Dice Rekenreks 10 bead (k) 20 bead 100 bead frames Finger patterns March 23, 2012 Tina Johnson Early Numeracy Workstations 20
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Implementing Workstations * Extensions of whole group lessons or small group lessons * Model procedures of the station *Then do as whole/small group with teacher guidance….. *Gradually release responsibility to partners..sometimes with heterogeneous groups…. *Finally work with partners within the workstation homogeneously grouped March 23, 2012 Tina Johnson Early Numeracy Workstations 21
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Implementing Workstations * Add workstations gradually; possibly one a week and practice with small groups while others are working on a different task until a few have been established * Start with 1 rotation *Establish workstation rules *Discuss rubrics *Build in 5-8 minutes for cognitive closure March 23, 2012 Tina Johnson Early Numeracy Workstations 22
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March 23, 2012 Tina Johnson Foundational Math Workstations 23
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Early Numeracy Workstations Forward Number Word Sequence Number Word After Backward Number Word Sequence Number Word Before Number Identification Comparing Base 10 (10 frames, dot strips Counting and Cardinality Subitizing CCSS for Mathematical Practice/ Reason abstractly & Structuring 5 & 10 Quantitatively; Look For & Make Use of Structure Number Operations Mathematical Relationships Think 10 Equality (equal or not equal to) ***some of these foundations will and should overlap in a workstation March 23, 2012 Tina Johnson Early Numeracy Workstations 24 CCSS Domain: Numbers and Operations in Base 10 CCSS Domain: Operations & Algebraic Thinking CCSS Domain: Counting & Cardinality
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Differentiation within a Workstation Could differentiate by the number range or task and code the group’s bag by color coding dots Could differentiate by type of recording sheet March 23, 2012 Tina Johnson Early Numeracy Workstations 25
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March 23, 2012 Tina Johnson Early Numeracy Workstations 26 Foundational Flicks
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Start Planning Your Journey 1. Know where to start.. (data, groupings) 2. Determine their destination (Common Core Standards, Curriculum guide) 3. Provide a means of travel a. structure your block…consider prime learning time, downtime for engagement, interaction, and differentiation, group reflection time, and a time for routines March 23, 2012 Tina Johnson Early Numeracy Workstations 27
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Start Planning Your Journey 3. Provide a means of travel b. develop early numeracy workstations with purpose building deeper concepts in math to build mathematical relationships in a visually efficient way c. check their “oil” along the way (observations; progress monitoring) d. keep them fueled to go forward (students challenged at their zone of proximal development) 4. Recognize their arrival March 23, 2012 Tina Johnson Early Numeracy Workstations 28
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Flexible groupings and data driven workstations promote a climate of rigor, inquiry, and intimacy to build early numeracy. Enjoy your adventurous journey…… expect a few speedbumps…. no U turns……. Happy Landing!! March 23, 2012 Tina Johnson Early Numeracy Workstations 29 Number Sense
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