Voic ed presentationPrBl
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Presentation to VoicEd 2014 on Problem Based Learning and Mathematics
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Voic ed presentationPrBl
- 1. PrBL = MATHEMATICS SIMON BORGERT HEAD TEACHER MATHEMATICS KILLARA HIGH SCHOOL @simonborgert Simon.Borgert5@det.nsw.edu.au
- 2. Liquorice Factory Disclaimer: Not mine but from RIME
- 3. 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.
- 4. Liquorice Factory In these times of hardship how many machines do we really need? And what are they? Those who have the most efficient factory stay employed!
- 6. OR…. FUN WITH FACTORS - EX 1.56 FROM YOUR TEXTBOOK!
- 7. TRADITIONAL MATHEMATICS CLASSROOM Lesson Bunch of Questions Summative Assessment
- 9. Pose the Problem Knows Need to knows Next steps Work on the problem Intervention Scaffolding Move around exemplar ideas clarifying questions Obtain a solution debrief process link to previous content?
- 10. Group 4 Solve x+y=5 ⎫ ⎬ 2 2 x + y = 13⎭ y = x − 3⎫ ⎬ xy = 10 ⎭ y = 2x − 2 ⎫ ⎬ 2 y = x − x − 2⎭ x − y = 1⎫ ⎬ xy = 2 ⎭ y = 2x − 5 −x − 5y + z = 17 ⎫ ⎪ −5x − 5y + 5z = 5 ⎬ 2x + 5y − 3z = −10 ⎪ ⎭ ⎫ ⎬ 2 y = x − 4x + 4 ⎭
- 11. Old Pedagogy i r m lu u c r u C n 2014 a li a r t s 21st Century u A Learner
- 12. NSW SYLLABUS for the Australian Curriculum
- 14. SEEMS TO BE WORKING……
- 15. THANKS
Notes de l'éditeur
- Each machine takes our ‘base unit’ piece of liquorice and stretches it to the desired length - so put it in the 33 machine get a 33 piece
- Have a go!
- The alternative is a lecture style presentation on factors, multiples composite numbers primes etc followed by a textbook exercise
- Teach the content - direct instruction - lecture style - 5 examples that cover all possible permutations of the questions Then a bunch of questions to practice the skills - problems followed by a summative assessment If we want our kids to creative problem solvers then why are we giving them the recipe before challenging them with problems - when does this ever happen in real life? -Factory model! When have you ever (in real life) had to solve a problem just after being taught the skills required to solve the problem
- Front load the problem - back load the learning -a real ‘flip’ of the classroom Much more realistic Encourages creative thinkers Relate story - most intense mathematical situation I have ever been in - pager going off - back of pumper making calculations!
- Pose the problem - can be linked to real life - can be straight pure mathematical! - knows - need to knows - next steps - a good idea to anticipate what the students will need to know - what the desired need to knows are and what questions you will ask to facilitate the desired need to knows! Next steps - problem solving strategies! - Act it out, look for a pattern, make a systematic list, guess and check, simplify the problems etc. - must be student generated- students need ownership of the learning Work on the problems - the student questions are where the learning is taking place - students must be actively struggling with the problem Solution - debrief is vital - what links to previous - what strategies worked/didn’t work- exit ticket - assessment: Posit it notes - A lightbulb moment, don’t forget, Improved, something you still have a question about
- Problem to be solved can be purely mathematical - but without the spoon feeding before hand
- The New Curriculum was an opportunity - and something to blame!
- To change the perspective that the textbook is the bible and that we should be designing ‘learning activities”
- •Set Up of [email_address] - Google Drive account oNot waiting for rollout across DEC oWill be easy to transfer to Google Apps in DEC – hopefully! oAll staff created their own gmail acouunt (If they didn’t have one) oA structural outline created oStaff are linking activities - rich tasks and problems directly to curriculum content
- probably helps that I made a key component of registration being contributing to the collaborative program but teachers still want the textbooks….. - need to find a balance