PD Teaching Mathematics

Effectively For Students of All Abilities

By Scott Repicky

Our Time TogetherBroken into 6 days3 hours of PD/dayFocus:

Teaching Mathematics Effectively Through: Creativity Investigation Differentiation Inclusion

Day 1Focus

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 Robinsonhttp://www.ted.com/index.php/talks/ken_robinson_

says_schools_kill_creativity.html

Questions for DiscussionHow 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 Robinsonhttp://www.ted.com/index.php/talks/sir_ken_robins

on_bring_on_the_revolution.html

Discussion with the Learning RevolutionHow 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 Mullinshttp://www.ted.com/talks/aimee_mullins_the_oppo

rtunity_of_adversity.html

Discussion QuestionsHow 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 TodayIn 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 2Focus: Inclusion and

Collaboration

Article: “Who Are Our Schools Really For?”

Video: Sugata Mitra

Review Previous SessionAnswer any questionsAny 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 togetherAdvantages For Students

Rely 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 Mitrahttp://www.youtube.com/watch?v=Ps8MwyJH8Zo

Implications? What implications does the video have for your

own teaching?

Putting It Into PracticeIn teams of three, work together to find the

answer:Are perimeter, area, and symmetry connected?Use any resources availableUse other groups

Review of TodayIn 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 3Focus:

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 ActivityHoles, Polar Bears, and Fish15 minutes individuallyDiscussion15 minutes collaborativelyDiscussion collaboratively vs. individually

Tiered AssignmentsComparing Math to Skiinghttp://www.viddler.com/explore/dsuarez/videos/2/7

.241/

The analogy between skiing and mathematics made me think…

Tiered Assignments In PracticeVideo- VHS Instructional Strategies for the

Differentiated Classroom: #3 Tiered Assignments

Reaction to the VideoWhat did you like?What would you do differently?

Follow-Up ActivityDesign a lesson with tiers

Sharing Lesson Ideas

ReflectionWhat did I learn today?What do I want to know more about?

Day 4Focus:Applying Tiered AssignmentsReadiness DifferencesMath Is Not Linear

Tiered Activity - Super Value ShapesThree groupsSame activityThree different levelsResultsReflection

Readiness DifferencesTiered assignments support differences in student

readinessStudents progress at different levelsWhat ways do we approach dealing with readiness

differences in our classrooms?

Math is Not Linearhttp://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 ActionThink 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 5Focus:

Changing Education Paradigms

Universal Design For Learning and Mathematics

Video: Sir Ken RobinsonVideo: Universal

Design and Universal Design for Learning

Changing the Education Paradigmshttp://www.youtube.com/watch?v=zDZFcDGpL4U&feature=player_embedded

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

Discussion IdeasHow 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)Principles

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

Video: Universal Design and Universal Design for Learninghttp://udlselfcheck.cast.org/window.php?src=

videos

Implementing Universal Design For LearningGo to computer lab and visit this site:http://iris.peabody.vanderbilt.edu/udl/chalcycle.

htm

ReflectionWhat did you learn about UDL?What works with UDL?Do you see any problems with UDL?

Design a math lesson using UDLWith a partner, follow the attached UDL lesson

plan for your class.

Share lesson plansShare your lesson plans with the groupSuggest any ideas for consideration in each lesson

ReflectionWhy would I want to use UDL?What questions do you still have about UDL?

Day 6Final Day’s Focus:

Math Needs a Makeover Homework Co-Teaching Review

Video: Dan Meyers- Math Needs a Makeover

Dan Meyer- Math Needs a Makeoverhttp://www.ted.com/talks/dan_meyer_math_curric

ulum_makeover.html

Putting It Into PracticeIn 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

HomeworkReview homework article by Bambi BettsWhy do we give homework?What do students get from it?Do we differentiate with our math homework?

Math HomeworkShould be:

EngagingAuthentic Inquiry based InvestigativeDifferentiated

Design an engaging and authentic homework for mathIn pairs, create a sample piece of homework.We will share these when finished.

Co-TeachingOne teach, one observeStation teachingParallel teachingAlternative teachingTeamingOne 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 ReviewThank You!