Saibsa math hl job alike
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Transcript of Saibsa math hl job alike
SAIBSA Math HL Job-AlikeJamnabai Narsee School Feb. 9, 2013
backchannel: http://todaysmeet.com/HLmath
slides: slideshare.net/mickpurcell
facilitator: Mick Purcell, [email protected]
all images in this slideshow arein the public domain.
THANK YOU: wikimedia
What is a Job-Alike? "Sharing is Caring"
Facilitator / Chair / Minutes
Timed Topics
Stay focused:
How can we best deliver HL Mathematics to our students?
Try to avoid complaining
Please don't dominate
Everyone participate
Build your personal network
Agreement?
Raphael's Euclid
SAIBSA Math HL 9th Feb 2013Session No.
0 8:15 – 10.00 Registration & Plenary
1 10.00 - 11:15 Curriculum and Planning
11:15 - 11:30 Social Break
2 11:30 – 12:30 Teaching ideas & Resource Sharing
3 12:30 – 1:30 IA session with SL teachers
1:30 - 2:15 Lunch
4 2:15 - 3:00 Math ToK (Nandan in other room)
3:00 - 3:15 Coffee Break
5 3:15- 4:30 Paper 3, More IAs & Conclusion
How do we structure the course?
Which Option(s) will we teach?
How/why/when will we teach the use of calculators?
Does every student have the same calculator?
What strategies do we use to teach the non-calculator paper?
How have students been prepared for this course?
Which topics are easier/harder for students?
Which topics are easier/harder to teach?
What is our school's philosophy for teaching HL mathematics – is it inclusive or exclusive?
questions to consider
Barnsley fern fractal (Wikimedia)
Order of Material / Syllabus
Best Option for Paper 3
Unit Plans / What's new?
Grades 9 & 10
Mixed Classes (HL/SL) / timetables
Further Mathematics
Textbooks & Resources
Calculators or Papers 1 & 2
Concepts
Geogebra / Software
Building a network
Math clubs / competitions
Other ideas?
Possible topics (Curriculum & Planning)
ToK, EEs, Internal Assessments later
The GuideWe cannot use this enough. Some teachers cut out its pages (especially the Syllabus Details) and post them to the classroom wall.
Curriculum
What has changed?
Order?
DP Unit Plans?helpful or hopeless?prepare for trendsharing?
Duodecahedron and its graph, showing a Hamiltonian cycle
EE in mathematics
The problem: choosing the right RQFruitful branches of mathematicsStrategies for choosing the right RQAvoiding common mistakesTips for coordinators & supervisors
choosing the right RQ
The problem: choosing the right RQ
there are 2 factors and therefore 4 scenariosfor determining the outcome of an EE:
bad student with a bad question: AAACbad student with a good questiongood student with a bad questiongood student with a good question
Help them!
"There are 10 kinds of people in the world:
those who understand binary and those who don't."
the single biggest problem for supervising EEs in Mathematics:
your student comes to you in October or November and says:
“I want to change my question”
Fruitful branches of Mathematic for EE
● graph theory● number theory● mathematical modeling● computational mathematics
● statistics● branches the teacher likes
I recommend avoiding Analysis or Algebra.Vedic Mathematics?
Alexander's Horned sphere
Strategies for choosing the right RQ:
● the attentive, supportive teacher● using general math books● using activities from Calculus textbooks● Mathcamps or advanced admissions tests● Further Mathematics syllabus● solving real problems, such as the school's
network, or a statistical analysis of cricket results (glorified math studies project)
from "50 EE titles in Mathematics"17. Predicting the number of triangles formed when subdividing the sides of an equilateral triangle n times b. . . 18. The use of modular arithmetic and large prime numbers to achieve privacy with RSA Public Key Cryptography.19. An investigation into the relationship between Pascal's Triangle and the Fibonacci sequence.20. Will 'Impact' (a hypothetical comet) collide with Earth?21. Investigating the patterns and structures in 11n .22. Balls and their purpose - bouncing balls, markings on balls, e.g. comparing the dimple packing on golfballs, or how well do basketballs, soccer balls etc bounce?23. Fractional number bases. An investigation.24. To what extent can mathematical modelling using differential equations be used in determining population growth . 25. How can cell population be determined over time? Which mathematical model gives a more accurate. . . 26. An investigation into Riemann Sums (i.e. standard integration to get areas) and Numerical Integration.27. An investigation into population growth models.28. Vedic Mathematics: investigating its efficiency and exploring its applications. 29. Euler's method for solving differential equations numerically.30. Laplace transformations - how are they used in solving second order differential equations?
General reading
Avoid Common Mistakes:IB Coordinator
not enough time, no EE coordinatorplagiarism: improper referencingnot using the tools available
plagiarism detection is a booming career field in Computer Science
Avoid Common Mistakes:Supervisor
not enough time, no timetabletoo many EEsnot teaching referencingbad RQ
FEB MAR APR MAY JUN JUL AUG SEP OCT NOV DEC JAN
Intro by EE Sup / IB Coord
Discuss with teachers. FORMS SIGNED
Initial research and refine RQ
Finalize RQ and establish methods
Two months of research and writing; hopefully producing a rough draft
Prez to Super; 3 slides
More writing & revision; ID of trouble
Focus on formatting, referencing, turnitin
Final draft submitted to Super for comments NO EDIT
FINAL DEADLINE, NO EXTENSIONS
mopping up
POSSIBLE TIMELINE FOR EE
Avoid Common Mistakes:Student
see article by HK teacher
Activity: ConceptsAn important professor and a famous university have made these observations:
"After number, __________ is probably the most important concept in mathematics."
Arguably, __________ is the most important concept in mathematics."
FILL IN THE BLANK!
Activity: Concepts"a function or a mapping"
TASK, NO INTERNET!
IN YOUR GROUPS OF 3 OR 4, TAKE 3 MINUTES TO WRITE DOWN A CONSENSUS DEFINITION OF A FUNCTION.
Activity: Concepts"a function or a mapping"
HOW CAN WE TEACH THIS CONCEPT?
THINK OF AN INTEGER, 1 TO 5 INCLUSIVE.
SUBTRACT YOUR NUMBER FROM 8.
WRITE IT DOWN AND HOLD IT HIGH!
OTHER IDEAS? ● DATING● SURJECTIVE, INJECTIVE, ETC● 1 TO 1, INVERSE
Activity: GEOGEBRA
Siddharth and his friends go camping. There are three source of water, at A, B, and C, and they must fetch water from each of the three sources. Where should they place their campsite so that they must walk the least distance to fetch water?
A
B
C