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A CALL FOR CONTRIBUTIONS
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They said the chance of rain today was 30%. So how come it rained?
Your unborn child has a high risk of having Downs Syndrome. Amniocentesis has a one is a hundred chance of aborting the foetus. What do you do?
I am investing all my cash in dot com shares. I'll make a killing!
HIV? Why me? I only had unprotected sex once!
My home was washed away in the floods last year. I rebuilt it on the same spot - no way can it flood here again.
Fortune favours the brave.
Was it Lonnis' faith or Janice's prayers or my system that won the $15,283,800 jackpot? I think it was the combination of all three. (Gail Howard's Smart Luck Products 1999)
www.planetqhe.com
I began working on this project in April 1999 as a graduate student
at the University of Bristol, England as part of the main study
of my M Ed dissertation. My work so far focuses on solving counter-intuitive
problems with the methods of probability outlined in the Group
5 subjects. My plans for the site extend further than mathematics
however. I want to widen the scope of this site to involve other
subjects, creating a rich cross-curricular resource for IB students
based around the concept of 'Chance' and eventually publish the
entire resource on the web. As far as I am aware, this would be
an original work. A few colleges in the USA and one in New Zealand
have on-line probability courses and several math enthusiasts
have published isolated activities, but there is no cohesive,
dedicated unit for IB schools. The cross-curricular dimension
makes it even more exciting - and unique?
The content of the site should recognise the many situations where
humans have to answer not only the fundamental questions of "How
many?" or "How much?" but "How Likely?"
and aim to deepen students' understanding and competence in the
probabilistic domain. Immediately one can see that the world of
chance is wider than the study of the mathematical methods created
to quantify the likeliness of outcomes. To restrict study to this
area alone would marginalize many 'real-world' applications, not
to mention the examination of the way chance is represented in
our language, habits and societies. However, at the moment I am
limiting curriculum areas to Mathematics, English, Humanities
and Science. My ISJ
article examines an attempt at an IB Maths-Genetics application,
and while I think that many more collaborative projects with other
subjects are possible, it's probably best to start small. As with
some of the best educational websites, hopefully P-L-A-Net will
grow and evolve over time with careful nurturing and editorial
care!
IST teachers will have the first opportunity to contribute before
I ask for contributions through the web. To give the curriculum
cohesion and purpose, I am trying to create a set of essential
questions.
Framing the www.planetqhe.com curriculum around a set of essential
questions:
Essential questions are a crucial driver for teaching and learning.
They engage the students in the study and create a bridge between
performance-based activities and deeper, conceptual understandings
(Erickson, 1998)
Essential questions serve to unify and revitalize our curriculum
work no matter whether the option in discipline-based, interdisciplinary,
student-centred or setting-centred. (Jacobs, 1999)
Jacobs gives the following example of three essential questions
adopted by English, science and humanities teachers for an interdisciplinary
unit on The Origins of the Species:
· What are the different views of the origins of human
beings?
· How have these views reflected contemporary values and
events over time?
· What are the current views on the origin of the species?
Here are some back of an envelope sketch proposals for essential
questions for www.planetqhe.com. The intention is to shape
them into a set of three or four essential questions. At the moment,
some of them are just 'starters' for philosophical debate and
focus on a fairly wide area of study:
1. What is 'luck'?
2. What is the biggest risk you have taken today? This year? In
your life? When and why do we "leave it to chance"?
3. What would a world without risk be like?
4. What are the different ways in which humans cope with chance?
5. How have these 'methods' reflected the contemporary values
and events over time and across different cultures?
6. What are the current developments in the human reaction to
the world of chance?
7. Where does risk come into our daily lives? Is the way we perceive/react
to risk independent of context?
8. How much do you know about the risks that are 'managed' for
you by governments and other organisations and of the 'methods'
they use?
9. What is meant by the terms independent events and cause and
effect? How are they related?
10. "It's a small world" - discuss.
What can I do?
There are three things you can do at this stage:
· Give me your ideas for a manageable area of focus, possibly
with your own subject in mind, that fits with the aims of the
www.planetqhe.com project.
· Give me the essential questions that you feel would map
this area of focus into a unit of IB study. (This would require
us to sit down and examine our schemes of work in the long term)
· Alternatively, please give me any ideas you have for
a simpler model in which just two subjects collaborate on a probabilistic
topic, as in my Maths-Genetics pilot study.
Cheers!
DAVID HARRIS, TOULOUSE September 2000
© David Kay Harris 1999-2003