SAIBSA Math HL Job-AlikeJamnabai Narsee School Feb. 9, 2013

backchannel: http://todaysmeet.com/HLmath

slides: slideshare.net/mickpurcell

facilitator: Mick Purcell, principal@edubridgeschool.org

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