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= MATHEMATICS SIMON BORGERT HEAD TEACHER MATHEMATICS KILLARA HIGH SCHOOL PrBL @simonborgert [email protected]

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Presentation to VoicEd 2014 on Problem Based Learning and Mathematics

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= MATHEMATICS

SIMON BORGERT HEAD TEACHER MATHEMATICS KILLARA HIGH SCHOOL

[email protected]@det.nsw.edu.au

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Liquorice FactoryDisclaimer: Not mine but from RIME

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Everything was going along fine until one day the Number 6 machine broke down!

No worries - just put the liquorice through the Number 2 Machine and then the Number 3 machine.

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Liquorice FactoryIn these times of hardship how many machines

do we really need? And what are they? Those who have the most efficient factory stay

employed!

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OR….

FUN WITH FACTORS - EX 1.56 FROM YOUR TEXTBOOK!

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TRADITIONAL MATHEMATICS CLASSROOM

Lesson Bunch of Questions Summative Assessment

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PROBLEM BASED CLASSROOM

Problem Scaffolding Summative Assessment

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Pose the Problem

Work on the problemIntervention

Scaffolding

Obtain a solution

Knows Need to knows Next steps

Move around exemplar ideas clarifying questions

debrief process link to previous content?

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x + y = 5x2 + y2 = 13

⎫⎬⎭

Group 4 Solve

y = x − 3xy = 10

⎫⎬⎭

y = 2x − 2y = x2 − x − 2

⎫⎬⎭

x − y = 1xy = 2

⎫⎬⎭

y = 2x − 5y = x2 − 4x + 4

⎫⎬⎭

−x − 5y + z = 17−5x − 5y + 5z = 52x + 5y − 3z = −10

⎫⎬⎪

⎭⎪

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Old Pedagogy

201421st Century LearnerAustr

alian Curri

culum

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NSW SYLLABUSfor the Australian Curriculum

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RHS =Google Drive

killarahighmaths

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SEEMS TO BE WORKING……

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THANKS