PD Teaching Mathematics

Effectively For Students of All Abilities

By Scott Repicky

Our Time Together

Broken into 6 days

3 hours of PD/day

Focus: Teaching Mathematics Effectively Through:

Creativity Investigation Differentiation Inclusion

Day 1

Focus How do we include all

students? What does

differentiation mean? How do we encourage

our students’ creativity? How do we become part

of the “learning revolution?”

How does the language we use affect our students?

Videos Ken Robinson Aimee Mullins

Looking at Education and CreativityTed Talk Sir Ken Robinson

http://www.ted.com/index.php/talks/ken_robinson_says_schools_kill_creativity.html

Questions for Discussion

How do we allow students to be creative in mathematics?

In what ways in our classroom, can we prepare our students to be wrong in mathematics?

How can we value the strengths of our students and encourage them?

How can we incorporate the arts in mathematics?

How can we allow students “to move to think” in our classrooms?

Any other ideas from the video?

The Learning RevolutionTED Talk Sir Ken Robinson

http://www.ted.com/index.php/talks/sir_ken_robinson_bring_on_the_revolution.html

Discussion with the Learning Revolution

How do we go about finding and developing our students’ “natural resources” in

mathematics?

How do we disenthrall ourselves from past math practices to initiate new practices?

How can we look at math in a non-linear way?

In our mathematics program, how do we move away from the “fast food” mentality?

How can we in mathematics feed our student’s passions?

How do we create conditions under which our students can flourish in mathematics?

How do we differentiate to help meet our students’ needs?

How is inclusion of students an important part of the learning revolution?

The Opportunity For AdversityTED Talk Aimee Mullins

http://www.ted.com/talks/aimee_mullins_the_opportunity_of_adversity.html

Discussion Questions

How does our language affect our teaching?

How do we empower our students?

How can we empower our students specifically in mathematics?

How do we help our students adapt to the challenges they will face?

How can we celebrate the adversity our students face?

How can we engage and support our students so they can share their gifts in

mathematics?

How do we keep from putting lids on our students’ abilities?

How do we bring out the potential of every child in mathematics?

Review of Today

In what ways, can you provide the students with opportunities to be creative with mathematics?

How in your teaching of mathematics can you become a part of what Ken Robinson refers to as the “learning revolution?”

How can you empower your students in their abilities in mathematics and not limit them?

What questions do you have about today’s session?

Day 2

Focus:

Inclusion and Collaboration

Article: “Who Are Our Schools Really For?”

Video: Sugata Mitra

Review Previous Session

Answer any questions

Any new thoughts

Inclusion Article: Who Are Our Schools Really For?

Protocol: The Final Word

Take 10 minutes to review the article

Choose one idea or topic that stands out

1st team member shares topic or idea, but makes no other comments

Round robin, each person comments on initial person’s reflection

NO CROSS TALK!

Initial person then has conversation return and they have the Final Word

Repeat pattern all the way around the group

Collaboration: Having students work together

Advantages For StudentsRely on each otherExplanation of how and why not just answerCreativeLearn from one another’s strengthsChallenge each otherLearn team work

The Future of Education Dr. Sugata Mitra

http://www.youtube.com/watch?v=Ps8MwyJH8Zo

Implications?

What implications does the video have for your own teaching?

Putting It Into Practice

In teams of three, work together to find the answer:

Are perimeter, area, and symmetry connected?

Use any resources available

Use other groups

Review of Today

In what way can you use inclusion and collaboration to meet your students’ needs?

What possible questions could you ask your students that they could investigate?

Day 3

Focus: Review last session-

collaboration and inclusion

Sharing of other ideas for students to collaborate on

Begin looking at tiered assignments

Video: Skiing and Mathematics

Video: Tiered Assignments

Collaboration Follow-Up Activity

Holes, Polar Bears, and Fish

15 minutes individually

Discussion

15 minutes collaboratively

Discussion collaboratively vs. individually

Tiered Assignments

Comparing Math to Skiing

http://www.viddler.com/explore/dsuarez/videos/2/7.241/

The analogy between skiing and mathematics made me think…

Tiered Assignments In Practice

Video- VHS Instructional Strategies for the Differentiated Classroom: #3 Tiered Assignments

Reaction to the Video

What did you like?

What would you do differently?

Follow-Up Activity

Design a lesson with tiers

Sharing Lesson Ideas

Reflection

What did I learn today?

What do I want to know more about?

Day 4

Focus:

Applying Tiered Assignments

Readiness Differences

Math Is Not Linear

Tiered Activity - Super Value Shapes

Three groups

Same activity

Three different levels

Results

Reflection

Readiness Differences

Tiered assignments support differences in student readiness

Students progress at different levels

What ways do we approach dealing with readiness differences in our classrooms?

Math is Not Linear

http://prezi.com/aww2hjfyil0u/math-is-not-linear/

Reactions?

How do we teach math in a non-linear way?

Why would we want to teach this way?

How would it be best for students of all abilities?

Putting It In Action

Think of some investigations or research some investigations you can do with your students that would combine different subjects of mathematics.

Reflection of Sessions 1-4

• So far, what is your “AHA” moment?

• What do you want to know more about?

• What questions do you still have?

Day 5

Focus: Changing Education

Paradigms Universal Design For

Learning and Mathematics

Video: Sir Ken Robinson

Video: Universal Design and Universal Design for Learning

Changing the Education Paradigms

http://www.youtube.com/watch?v=zDZFcDGpL4U&feature=player_embedded

Sir Ken Robinson discusses changing the ways we teach to engage our students

Discussion Ideas

How do we create an engaging, aesthetic experience for our students in mathematics?

What did you think of his views on ADHD?

How do we allow for divergent thinking in mathematics?

Universal Design for Learning (UDL)

PrinciplesEquitable useFlexibleSimple and intuitivePerceptible informationTolerance for errorLow physical effortSize and space for approach and use

Video: Universal Design and Universal Design for Learning

http://udlselfcheck.cast.org/window.php?src=videos

Implementing Universal Design For Learning

Go to computer lab and visit this site:

http://iris.peabody.vanderbilt.edu/udl/chalcycle.htm

Reflection

What did you learn about UDL?

What works with UDL?

Do you see any problems with UDL?

Design a math lesson using UDL

With a partner, follow the attached UDL lesson plan for your class.

Share lesson plans

Share your lesson plans with the group

Suggest any ideas for consideration in each lesson

Reflection

Why would I want to use UDL?

What questions do you still have about UDL?

Day 6

Final Day’s Focus: Math Needs a Makeover Homework Co-Teaching Review

Video: Dan Meyers- Math Needs a Makeover

Dan Meyer- Math Needs a Makeover

http://www.ted.com/talks/dan_meyer_math_curriculum_makeover.html

Putting It Into Practice

In pairs, see if you can design an open-ended real world mathematics problem that the students could solve.

How would you have the students go about solving the problem?

Sharing ideas

Homework

Review homework article by Bambi Betts

Why do we give homework?

What do students get from it?

Do we differentiate with our math homework?

Math Homework

Should be:EngagingAuthentic Inquiry based InvestigativeDifferentiated

Design an engaging and authentic homework for math

In pairs, create a sample piece of homework.

We will share these when finished.

Co-Teaching

One teach, one observe

Station teaching

Parallel teaching

Alternative teaching

Teaming

One teach, one assist

Sharing Ideas of Co-Teaching

In what ways does this video reflect inclusion?

http://nfb.tv/film/canada_vignettes_the_egg

Discuss what meanings you found in the film.

Final Review

Thank You!