What is an early numeracy math workstation?

advertisement
Welcome to
Immersing Common Core Standards
Using Early Numeracy Differentiated
Workstations
Tina Johnson
March 23, 2012
61st WIU Mathematics
Teachers Conference
numeracyrocks@yahoo.com
(309)840-2234
1
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
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 Workstations5
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 Workstations6
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
Why use early numeracy math workstations?
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
March 23, 2012
Tina Johnson
Early Numeracy Workstations
8
ONE SIZE DOES NOT FIT ALL
Tina Johnson
Early Numeracy Workstations
March 23, 2011
Differentiate for the best fit
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, 2012
Tina 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
FNWS/
NWA
BNWS/
NWB
Number
ID
SEAL
BASE
10
EARLY
MULTIPLI
-CATION
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
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
March 23, 2012
Tina Johnson
Early Numeracy Workstations
13
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
*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
March 23, 2012
Tina Johnson
Early Numeracy Workstations
15
Logistics
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.
March 23, 2012
Tina Johnson
Early Numeracy Workstations
16
Logistics
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.
March 23, 2012
Tina Johnson
Early Numeracy Workstations
17
Designing Foundational Workstations
Emphasizing Numeracy
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
18
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 visualspatial 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)
March 23, 2012
Tina Johnson
Early Numeracy Workstations
19
Designing Workstations
Beadstrings
10, 20 & 100
Finger patterns
Rekenreks
10 bead (k)
20 bead
100 bead frames
Visually & Cognitively
Efficient Materials
5 Frames
10 Frames
Double 10 Frames
Dice
March 23, 2012
Number Lines
Structured in 5s/ 10s
Beaded Number Line
Dominoes
Tina 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, 2012
Tina 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
Tina Johnson
Early Numeracy Workstations
March 23, 2012
22
Tina Johnson
Foundational Math Workstations
March 23, 2012
23
Early Numeracy Workstations
CCSS Domain:
Forward Number Word Sequence
Numbers and
Number Word After
Backward Number Word Sequence Operations in Base 10
Number Word Before
Number Identification
Comparing
Base 10 (10 frames, dot strips
Counting and Cardinality CCSS Domain: Counting & Cardinality
Subitizing CCSS for Mathematical Practice/ Reason abstractly &
Structuring 5 & 10 Quantitatively; Look For & Make Use of
Structure
CCSS Domain:
Number Operations
Operations &
Mathematical Relationships
Algebraic Thinking
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
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
Foundational Flicks
March 23, 2012
Tina Johnson
Early Numeracy Workstations
26
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
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
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…….
Number
Sense
Happy Landing!!
March 23, 2012
Tina Johnson
Early Numeracy Workstations
29
Download