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Creating Mathematical Experiences in studio and outdoor spaces for all learners JANICE NOVAKOWSKI RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019

Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

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Page 1: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Creating Mathematical Experiencesin studio and outdoor spacesfor all learners

JANICE NOVAKOWSKIRICHMOND SCHOOL DISTRICT, BC, CANADA

NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019

Page 2: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Develop, demonstrate, and apply mathematical understanding through play, inquiry, and problem solving.

Connect mathematical ideas to each other and to other areas and personal interests.

Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives relevant to local First Peoples communities, the local community, and other cultures.

Incorporate First Peoples worldviews and perspectives to make connections to mathematical concepts.

a selection of BC Mathematics Curricular Competencies

Page 3: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Connections

umath to selfumath to world umath to math

Page 4: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

PLAY

uplaying with materialsuplaying with languageuplaying with ideas

Page 5: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

in The Studio

Page 6: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for
Page 7: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for
Page 8: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Vision for The Studio

uA space to re-imagine the teaching and learning of mathematics through an inclusive, flexible learning environment that offers choice of materials to consider mathematics through the aesthetic dimension.

Page 9: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

for educators

u to learn more about instructional approaches that focus on deeper learning, inquiry and place-based and culturally responsive pedagogies

u to consider ways to teach mathematics more holistically, weaving together elements of our curriculum framework

u to have opportunities to experience math to math, math to self and math to world connections

u to have choice in where they choose to learn, the materials they use and how they share their thinking and learning and what projects they might take up

for students

Goals for The Studio Experience

• to disrupt thinking about mathematics teaching and learning• to learn about the affordances of different materials• to consider how the environment can support thinking and learning

Page 10: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Teaching and Learning Through a Mathematical Big Idea: Decomposing

Page 11: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Connecting Big Ideas

uIdentityuStory uPlaceuCommunityuRelationshipuConnection

uDecomposinguChangeuTransformationuEquivalenceuSpaceuPattern

Page 12: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for
Page 13: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Investigating Snowflakes

uplaying with ideas of size, shape and symmetry

Page 14: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Questions to support student inquiry

uWhat stories live in these shapes?uWhat is the relationship between 2D and 3D shapes?uHow can you combine shapes to make new shapes?uWhat shapes live in this shape?uHow do shape and size help you make a map?uHow does visualizing help you make sense of the

world?

Page 15: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Math to World Connections: Botany

uconnecting our thinking about size, shape and symmetry

Page 16: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for
Page 17: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Investigating Circles:Communicating our Thinking

Grades 3&4Grauer Elementary

Page 18: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Thinking about the Circle:Where does math live in Susan Point’s spindle whorl art?

Page 19: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Investigating the Art of Susan Pointu Grades 3&4

u Develop, demonstrate and apply mathematical understanding through play, inquiry and problem-solving

u Engage in problem-solving experiences that are connected to place, story, cultural practices, and perspectives that are relevant to local First Peoples communities, the local community and other cultures

u Grade 4

u line symmetry

Can you identify line symmetry in Susan Point’s art?

Can you create a design inspired by Susan Point that has line symmetry?

Page 20: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for
Page 21: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

What local artists or pieces of art might inspire mathematical thinking?

Page 22: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

What connections are you making to your context?

uThink of a mathematical big idea or concept and consider materials or investigations that might support connection-making for your students.

uWhat kind of studio-like experience could you provide for your students?

Page 23: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

How might the teaching and learning of mathematics be more holistic?

How might a sense of place be nurtured through the teaching and learning of mathematics?

Place-Based Learning

Page 24: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

place as provocation

Page 25: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

uWhat do you notice?uWhat do you wonder?uWhat math lives here?

Page 26: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

In the forest…

Page 27: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Numbers(in(our(Community(

photographs)taken)by)the)grades)1&2)students))in)division)9),)Byng)Elementary)

Page 28: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

When%I%look%at%the%boats,%%I%wonder%how%they%know%where%the%fish%are?%

Which%way%do%the%waves%go?%I%wonder%how%they%catch%the%fish?%

How%fast%can%the%boat%go?%

Byng%Elementary%Division%9%

Grades%1&2%%

%How%does%this%picture%

inspire%you%to%think%of%the%story%of%this%place?%What%stories%live%

%in%this%river?%What%connec=ons%%are%you%making?%

Page 29: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

About&how&many&boats&can&you&see?&How&heavy&is&a&tuna&fish?&

How&many&fish&are&you&allowed&to&catch?&If&a&fish&weight&two&kilograms&and&it&cost&$6&&

and&I&bought&24&fish,&how&much&would&that&cost?&

Byng%Elementary%Division%6%

Grades%3&4%How&does&this&picture&inspire&you&to&think&of&the&story&of&this&place?&

What&stories&live&&&&&&&&&in&this&river?&

What&connecCons&are&you&making?&

%

Page 30: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Where does mathematics live in this place?

What mathematical story does this place tell?

Page 31: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

u Garden City Elementary

Place-Based Mathematical Inquiry:Where can we see and create math?

Page 32: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

uGo outside –uWhat do you notice? uWhat do you wonder? uWhere do you see _____ ?

uUse visual images uphotographs, art, maps

uUse authentic natural materials

starting points…

Page 33: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

#OutdoorClassroomDay

Page 34: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for
Page 35: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

#100LeavesChallenge

Page 36: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

Outdoor ArtistsuAndy GoldsworthyuJames Brunt (Twitter @RFJamesUK )

Page 37: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

What opportunities might you create for outdoor learning?

uWhat places and spaces might you find to uncover mathematics with your students?

Page 38: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

creating a new narrative for mathematics

u “Math is beautiful.”u“Math is fun.”u“There are many ways of making math.”

Page 39: Creating Mathematical Experiences - Richmond School District€¦ · RICHMOND SCHOOL DISTRICT, BC, CANADA NORTHWEST MATHEMATICS CONFERENCE TACOMA, OCTOBER 11 2019. ... Vision for

[email protected]@jnovakowski38

jnovakowski

What math lives here?uncovering mathematics in studio and outdoor experiences