hey tom,
***wall of text incoming***
this is so cool and i really appreciate how well-thought-out and
well-written your proposal is for creating a safe math learning
environment. have you heard of the berkeley compass
project<http://www.berkeleycompassproject.org/>?
they work with physics freshmen at berkeley to help create a learning
support network in a program that's famous for serving a weeding out
function. also, if you are interested in readings about inclusive math
pedagogy, just let me know and i'll be happy to shower you with pdf's.
while i love some of the principles that you've outlined as being
productive social norms for learning based on the boxing gym metaphor, my
suggestion would be to consider not using the boxing gym metaphor in the
name of the group. my own perspective (and the perspective of many women i
know), is that boxing gyms are pretty heavily coded "MALE - do not enter
unless you want to be looked up and down, humiliated, and judged.". they're
up there with free weight rooms, mechanic shops, lumberyards, and hardware
stores. (to give a free weight example, when i was in college, it was so
bad that a friend and i would only go to the free weight room at the gym
together because the judging, humiliating looks and patronizing smiles were
just too much. we actually couldn't even focus on figuring out how to use
the machines because we were so preoccupied with the eyes on our backs.
women's bodies are subject to so much scrutiny by strangers all the fucking
time (i was harassed twice in the first 15 seconds of a run yesterday!)
that it was just not worth it to have to experience this degradation in
order to use this part of the gym, so after a couple times we never went
back).
i had no idea though that these were the social norms in boxing gyms -
everything that you shared is really instructive and definitely broke down
a lot of my misconceptions. it's entirely possible that boxing gyms aren't
at all like my image of them, that many of us women have unfair
misconceptions about what they're like, but if you use this metaphor,
you'll have to battle against that expectation. additionally, it's also
possible that your experience of the boxing gym space is shaped by your
experience as a man and that a woman might experience a boxing space
differently. i honestly have no idea whether that's the case and would love
to learn more about your experience with boxing gyms.
i wonder if others have similar thoughts about the boxing gym metaphor and
also ideas for other metaphors that might let people know that "this will
be a study group that supports you in your learning" (although you could
just call it "math study group" and list the "ground rules." or just
go
full hippie: "inclusive math study group.")
- marina
On Tue, Oct 1, 2013 at 9:57 PM, Thomas Fitzpatrick <fitzsnaggle(a)gmail.com>wrote;wrote:
If there are no objections, I'm reenstating
Morning Math. I think a new
name is in order and would like to field a couple - Math Gym, Visceral
Mathematics, Romancing Methods...
Sessions will start at 7:30 AM. I will be staying and holding up the torch
until 11:30. Participants are free to come and go as the please between
those times on Tuesdays, Wednesdays, Thursday (no pressure to show up on
all days, but I will be there) with the possibility of more days.
All levels are welcome - there will always be something to do. The vision
is that despite skill levels and relative experiences, we can all benefit
from contact with each other as Mathematicians.
My favorite learning environment is a boxing gym and I think that is where
our social norms should be derived from.
* Many different styles of boxing and training - trainers are free to take
on students, students can go to new trainers, or you can have no trainer
and get bits of advice from many people
* People arriving and leaving at disparate times as opposed to Karate
classes where everyone must arrive at the same time. The flow is mantained
regardless. You tell your trainer you are arrived and start your warm-ups.
When they are available they will teach you something or give you an
exercise you are familiar with - coming around to check on you and correct
your form.
* All skill levels and levels of fitness - Hanger-ons, the elderly,
novices, pros, trainers all derive social satisfaction. Everyone is free to
improve at their own pace without being turned away from the sport.
Bullying is not tolerated
* Everyone is given the opportunity to teach - this advice is trusted
based on their reputation - many views abound and the student is free to
choose the styles and techniques they want to emulate.
* Instruction is given and then the student is left to practice the
motions - the memory is important - by they have to get a feel for it on
their own. They can be corrected, but the trainer is also free to help
other students.
* Some routines are done in groups while others are done alone - most can
be practiced in both contexts
* The right exercises are chosen to get you to the next level. There is no
set protocol for what you do each time. You are free to choose what you do
next - though others may tell you better.
* No one goes in the ring without a trainer watching (the analogy breaks
down here)
* Sparing is the most valuable experience as it builds your fight
intuition. We predict punches - we don't react. It takes half a second for
your brain to tell you to move - if you have to wait you will get hit. That
is why you will often take it slow or only do defense or offense to trim
your concerns.
* The focus is learning. Preparing for your match.
The primary question I have is how to teach Mathematics the way
Music/Sports are? How do you teach intuition and problem solving? How do
groups with disparate schedules and skill levels benefit the most from each
other? I propose the following norms. (I will pare them down over time):
* Agreements on reading materials/problems are between those you agreed to
read with - not the entire group
* You can come to as many or as few sessions as you please - there will
always be something to do. (analogous problems)
* Progress and minutes are prominently displayed to bring people up to
speed without breaking the flow
* Discussion groups form and disperse based on the creative process.
* It is better to ask questions than to give others the solution when they
are solving a problem. Empathize to give the right hint
* It is better to try problems than to merely discuss, pencil must move
over paper (or code across screen) - experience is more valuable than
lectures.
* Pictures are essential tools
* Assisted/Group work is valuable for discovering the process, but the
intuitive jump or connection is up to the student
* Problems can be generalized, specialized or analogous problems chosen to
keep everyone in the loop - to give and get insight as student and teacher.
* The learning zone is right beyond your current abilities, but not so
hard you have nothing to grasp onto.
* Talent is
overrated<http://www.amazon.com/Talent-Overrated-World-Class-Performers-…
Here are some books I would personally like to study with anyone - in
these time slots or otherwise. Suggestions are welcome :)
# Good general Problems
Delightful Puzzles <http://gurmeet.net/puzzles/> - Scroll to Bottom for
other great lists - These are very accessible
The Stanford Mathematics Problem Book
<http://www.amazon.com/The-Stanford-Mathematics-Problem-Book/dp/0486469247/ref=sr_1_1?ie=UTF8&qid=1380010455&sr=8-1&keywords=The+Stanford+Mathematics+Book>-
Has a hint key and an answer key!
# Problem Solving Techniques
How To Solve
It<http://www.amazon.com/How-Solve-It-Mathematical-Princeton/dp/06911196…
Mathematics and Plausible
Reasoning<http://www.amazon.com/Mathematics-Plausible-Reasoning-Patterns…
# History of Math
Mathematics and Its
History<http://www.amazon.com/gp/product/144196052X/ref=olp_product_deta…
# Applied Mathematics
Methods of Mathematics Applied to Calculus, Probability and
Statistics<http://www.amazon.com/Methods-Mathematics-Calculus-Probabilit…
Numerical Methods for Scientists and
Engineers<http://www.amazon.com/Numerical-Methods-Scientists-Engineers-M…
# Discrete Mathematics
Concrete
Mathematics<http://www.amazon.com/Concrete-Mathematics-Foundation-Comput…
There is interest in studying Visual Complex
Analysis<http://www.amazon.com/Visual-Complex-Analysis-Tristan-Needham/d…mplex+analysis>.
The Complex-plane is an alternative to x-y coordinates that makes many
problems much easier and more intuitive to reason about. It was named
Complex to be vindictive by mathematicians who didn't understand its worth.
AND IT USES PICTURES
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