Title: Differentiated Instruction
1Differentiated Instruction
2Purpose
- Develop shared and practical understandings of
differentiation as related to the effective
teaching of Mathematics - Tiering as a differentiation strategy
- Tiering Math Games Trailblazers lessons
3Processes/Payoff
- Processes
- Question Car Park Think, Pair, Share Paired/
Quad Brainstorm Games Rotations Discussion
Gallery Walk Group Planning - Payoff Leave the workshop with practical ideas
for differentiating instruction through the
strategy of tiering
4Protocols for working as a professional learning
community
- Adopt a sense of responsibility for the group as
a community of learners - One person at a time talking so as to keep the
meaning - Attend to and listen to others
- Accept where others are at
- Suspend judgement
- Allow and give no putdowns
- Common signal for gaining
- everyones attention
5Question Car Park
- Write down your questions and issues on the
post-it notes provided throughout the sessions
and park them in the Question Car Park charts
on the walls of the room. - I will work at answering them at the beginning of
the next two sessions.
6 Treasure Hunt for Diversity
- Using the Treasure Hunt grid, complete each
section by finding colleagues who match the
description.
7Challenges of todays students
- As a group, brainstorm (and jot down in your
reflective journals) all the needs of students
you have worked with in your classrooms this year
or in the past.
8Challenges of todays students
- The diversity of students in your classroom
- Learning styles (visual, spatial, auditory,
tactile, kinaesthetic) - Interests
- Strengths/ Weaknesses
- Cognitive abilities
- ELLs
- Attitudes/ Motivation/ Persistence/ Confidence
- Readiness
- Socio-Economic and Family Factors
- Learning Pace
- Gender Influences
- Cultural/Ethnic influences
9Challenges of Todays Students
- Normal is only a setting on the washing machine
- Schmidt, M (2006). Losing Sight of the Shore
Differentiating Curriculum and Instruction.
10A Once Upon A Time Story About A Blonde Student
- Once upon a time there was a lovely, young
student named Goldilocks. She was an adventurous
sort, so one day she went walking through the
forest in search of a teacher. - As Goldilocks rounded a bend in the path, she
came into a bright clearing in the forest. She
was very excited to find a teacher presenting a
lesson that at first captured her attention.
Goldilocks tried to stay engaged and learn, but
she became frustrated as it was just too
difficult.
11The story continues..
- She sighed, waved goodbye to the first teacher,
and continued on her way. - Goldilocks walked a bit longer and ambled up a
hill where she found herself in a wide,
flower-filled pasture. There a second teacher
sat, seemingly waiting just for her. - This teacher began her lesson, but Goldilocks
soon became bored because it was just too easy.
She waved goodbye to the second teacher, and once
again went on her way.
12The story continues..again!
- Trudging through the forest more slowly now and
less joyfully, she came across a magnificent
meadow that was not only amazingly colorful but
fragrant as well. There stood another teacher.
The teacher began the lesson, and Goldilocks was
enthralled! This lesson wasnt too hard! It
wasnt too easy! It was just right!
13What is Differentiation?
- Think, Pair, Share
- Individually, jot down your own thoughts as to
what you think differentiation is. - Share with partner.
- Share with group of 4.
14What is Differentiation?
- At its most basic level, differentiating
instruction means shaking up what goes on in
the classrooms so that students have multiple
options for taking in information, making sense
of ideas and expressing what they learna
differentiated classroom provides different
avenues to acquiring content, to processing and
making sense of ideas, and to developing products
so that each student can learn effectively
(Carol Tomlinson, 1999, p. 1)
15How Is It Implemented?
- Use diagnostic assessments to determine student
readiness. These assessments can be formal or
informal. Teachers can give pre-tests, question
students about their background knowledge, or use
KWL charts (charts that ask students to identify
what they already Know, what they Want to know,
and what they have Learned about a topic).
16How is it implemented?
- Determine student interest. This can be done by
using interest inventories and/or including
students in the planning process. Teachers can
ask students to tell them what specific interests
they have in a particular topic, and then
teachers can try to incorporate these interests
into their lessons.
17How Is It Implemented?
- Identify student learning styles and
environmental preferences. Teachers can get
information about student learning styles by
asking students how they learn best and by
observing student activities. Identifying
environmental preferences includes determining
whether students work best in large or small
groups and what environmental factors might
contribute to or inhibit student learning. For
example, a student might need to be free from
distraction. PLUS you need a good understanding
of M.C.
18What Does it Look Like for Math?
- Math instruction can be differentiated to
allow students to work on skills appropriate to
their readiness level and to explore mathematics
applications through - - Math games are a very good and easy way to
differentiate learning. Played correctly students
can experience fun activities while playing
different levels of a game. - Tiering is another way. Tier the group or
individual activities after the mini lesson.
19Differentiated Instruction
is the proactive acceptance of and planning for
student differences, including their
readiness interests
learning profiles Teachers can respond to
student differences by differentiating
content process products
environment while always keeping in mind the
guiding principles of respectful tasks
ongoing assessment adjustment flexible
groups
20What is reality now and Where you want to be
Self-Assessment
- Traditional Classroom Vs Differentiated Classroom
- Using the handout, place an X on each
continuum where you believe your teaching is now
and a Y where youd like to be. - Discuss with your group.
21- Tiering
- as a
- Differentiation Strategy
- What is it?
22Tiered activities are really quite essential.
They are almost the meat and potatoes of
differentiation. (Tomlinson)
23Differentiating by Readiness/Tiered Lessons
- Involves having students work on the same concept
at different levels of complexity and with
different levels of support or open-endedness. - Not more work or less work, just different work.
24Planning Tiered Assignments
Concept to be Understood OR Skill to be Mastered
Create on-level task first then adjust up and
down.
Below-Level Task
On-Level Task
Above-Level Task
Adjusting the Task
25When Tiering
- Adjust---
- Level of Complexity
- Amount of Structure
- Materials
- Time/Pace
- Number of Steps
- Form of Expression
- Level of Dependence
26The Equalizer
5. Smaller Leap
1. Foundational
Transformational
Greater Leap
6. More Structured
More Open
2. Concrete
Abstract
7. Clearly Defined Problems
Fuzzy Problems
3. Simple
Complex
8. Less Independence
Greater Independence
4. Fewer Facets
Multi-Facets
9. Slower
Quicker
Low Readability
High Readability
27Using the Equalizer A Tool for Planning
Differentiated Lessons (Tomlinson, 2000)
- Similar to using the equalizer buttons on a CD
player/stereo, you can slide the buttons across
several different continuums to get the best
combination of sounds for a musical piece. - In a differentiated classroom, adjusting the
buttons appropriately for various students needs
equalizes their chances of being appropriately
challenged by materials, activities, products in
your classroom - (Tomlinson, 2000).
28What is Tiered Instruction?
- By keeping the focus of the
- activity the same, but
- providing routes of access at
- varying degrees of difficulty,
- the teacher maximizes the
- likelihood that
- each student comes away
- with pivotal skills
- understandings
- 2) each student is appropriately
- challenged.
Teachers use tiered activities so that all
students focus on essential understandings and
skills but at different levels of complexity,
abstractness, and open-endedness.
29 Use of State Standards
- Use the standards (current state standards or
Common Core standards) to inform the tiering by
seeing the sequence of development of the concept
30Tiering
- Lets look at how to tier a game
- Importance of teachers knowing content
Standards - Lets look at and then later play
- Flash
- HANDOUT IN FOLDER
31 Now consider this.
- Tier 1 One group of students in the class are
very unsure of the basic Count-On (count on
1,2,3,0) facts - Tier 2 One group of students in the class may
need to practice doubles - Tier 3 One group of students in the class have
automaticity with addition facts to 12, including
Make Ten strategy - WHAT TO DO?
32Differentiate the Game using the Equalizer
Addition Flash
Tier 1 John, Robyn, Liz, Rob, Karen Unsure of very basic count-on facts Count-on 1,2,3,0 Choose specific cards/ specific dice (e.g. 1, 2,3,0 singly or combinations of count-on facts based on students needs) Use of visuals (number line) Play game Count-On 1, 2, 3, 0 Foundational Less independence Simple Observation notes Exit slips
Tier 2 Judith, Barry, Kate, Jessica, Richie Need to develop strategy of doubles facts Play game with doubles dominoes Concrete Game recording slips Observation notes Journal
Tier 3 Dan, Angie, Peter, Jacinta, Mia Play game with different numbers (2x6 sided dice cards 0-12) Missing addend game 3 addend game Transformational Multiple facets Complex Game recording slips Observation notes Journal
33- Tiered Games
- Lets Experience It
34Flash Activity Cont.
- Work with a partner
- 1 Sequence the games in order of
- development
- 2 Find as many activities that you could
- differentiate into 3 tiers
35Lets Experience It
- You are going to participate in several games
that have been tiered at three different levels. - Your group needs to play each tier of each game.
Compare the three tiers. What is the big math
idea? - Complete the template, match each tiered set of
games to the Standards and the Equalizer - What are the implications for your own classroom?
36Carousel the Games Around the Groups/Tables
- Well move the games on a given signal clock-wise
- Table 1
- Table 2
- Table 3
- Table 4
- Table 5
- Table 6
37Tiered Games
- Group Report
- What did you notice?
38Differentiate the Games using the Equalizer- Its
your turn!
- Each group will find a Math game, planning
template and butchers paper on their table. - As a group and using the Equalizer and the
Standards in your handout, adapt the game and
plan for a variety of students needs- tier for
three groups of children - Tape your groups poster up for the gallery walk
39Gallery Walk
- One member from each group stays with the tiered
games poster. - All groups rotate and the poster leader describes
the tiering. - Ask questions
- Get ideas
- Complete template
- Rotate on given signal
40- Tiering a Daily Math Lesson in the Workshop Model
41 Tiering the Student Activity Portion
of the Workshop Model Lesson
Whole Math Message/Warm-Up
Whole Mini-Lesson
Part Student Activity- Group 1 Group 2 Group 3
Whole Share Time
42- Tiering a Trailblazer Lesson
43Your Turn
- Using the template in your packet, choose some
lessons from the program (eg. first weeks of
school in September) and, - consulting the standards,
- tier the student activity portion of each lesson
44How do I begin to differentiate?
- Consider Low Prep/High Prep differentiation
- See handout on Hints to Begin
45 46Explicit Visuals of Expectations- Y Chart -
Kindergarten
47Establishing a Co-operative Framework- Developing
a Y Chart for Group Work
48Flexible Groups- Differentiated Games
49Using Assessment to Inform the Differentiation
within each Game
50Varying Content of Games to Meet Students Needs
51Rubric for Differentiation (developed by Julie
Howie A.U.S.S.I.E. Math Consultant)
- Use for reflecting on your practice
52Things Take Time
- Put up in a place where its easy to see,
- The cryptic admonishment,
- T.T.T.
- When you feel how depressingly slow you climb
- Its well to remember that
- THINGS TAKE TIME.
- From Tomlinson, C.
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