Welcome to Immersing Common Core Standards
Using Early Numeracy Differentiated Workstations
Tina Johnson [email protected]
(309)840-2234 March 23, 201261st WIU Mathematics Teachers Conference
1
IntroductionsAll 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
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
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
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
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 TenOperations and Algebraic Thinking
Mathematical Practice 2: Reason Abstractly and quantitatively
March 23, 2012 Tina Johnson
Early Numeracy Workstations 6
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, 2012Tina Johnson
Eary Numeracy Workstations 7
Why use early numeracy math workstations?
March 23, 2012Tina 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
ONE SIZE DOES NOT FIT ALL
Differentiate for the best fitMarch 23, 2011
Tina Johnson Early Numeracy Workstations
9
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, 2012Tina Johnson
Early Numeracy Workstations 10
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
Learning Framework in Number
Screener assessment taken from an adapted version by Angela Andrews fromEarly 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
SEAL BASE 10
EARLY MULTIPLI-CATION
March 23, 2012Tina 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
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
Management Board Design
March 23, 2012Tina 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
Logistics
March 23, 2012Tina 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.
Logistics
March 23, 2012Tina 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.
Designing Foundational WorkstationsEmphasizing 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
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)
Designing Workstations
Finger patterns
Rekenreks10 bead (k)20 bead
100 bead frames
DiceDominoes
5 Frames 10 Frames
Double 10 Frames
Number LinesStructured in 5s/ 10sBeaded Number Line
Beadstrings10, 20 & 100
Visually & Cognitively Efficient Materials
March 23, 2012Tina Johnson
Early Numeracy Workstations 20
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, 2012Tina Johnson Early Numeracy Workstations
21
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
March 23, 2012
Tina Johnson Foundational Math Workstations
23
Early Numeracy WorkstationsForward Number Word SequenceNumber Word AfterBackward Number Word SequenceNumber Word BeforeNumber IdentificationComparingBase 10 (10 frames, dot stripsCounting and CardinalitySubitizing CCSS for Mathematical Practice/ Reason abstractly & Structuring 5 & 10 Quantitatively; Look For & Make Use of
StructureNumber Operations Mathematical RelationshipsThink 10 Equality (equal or not equal to) ***some of these foundations will and should overlap in a
workstationMarch 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
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, 2012Tina Johnson Early Numeracy Workstations
25
March 23, 2012Tina Johnson
Early Numeracy Workstations
26
Foundational Flicks
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, 2012Tina Johnson
Early Numeracy Workstations 27
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, 2012Tina Johnson
Early Numeracy Workstations 28
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
NumberSense