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(Written in the summer of 2005 by
Coolmath Karen)
The
most common thing I'm asked in emails is, "How does a typical
class period work with Survivor Algebra?"
First, let's talk a bit about some learning
theory.
When I first started doing Survivor Algebra,
it was 100% group work... and it did work for a lot of
students... But, I've now arrived at an approach (based on
the information I got from the
book
How People Learn:
Brain, Mind, Experience, and School: Expanded Edition by the
National Research Council)
that makes
things MUCH smoother for both you and your students.
I’ve added a question/lecture session to the
beginning of each class meeting. The research sited in this book
shows that the optimal way for students to learn (and to retain what
they’ve learned) is
-
Read about the topic
-
Struggle with problems on their own
THEN, participate in a well-structured
lecture or overview on the topic.
Part 2 is the key – without the struggling BEFORE
part 3, students will not fully benefit from the teacher
interaction. Studies also show that items 1 and 3 alone do
not promote learning and the traditional lecture-first method
does not work for the majority of students. This new
“introduction” time has become an invaluable opportunity for
learning and evaluation for my students.
I use this time to do the following:
- Answer questions (on anything including
review material like fractions)
- Give overviews and/or mini-lectures of what the students have
learned on their own
- Guide them in creating their own study aids
- Teach them metacognition methods
(Metacognition is the self-assessment process in which the student is
able to assess what he really knows and understands and what he does
not. Often, knowing what we don’t know is the key to our learning!)
More simply put, I have them close their books and notes and give them problems
to try cold. If they can do them, then they've really learned
it. If they can't do them, then they see that they need to rework the topic.
I am happily finding that this addition has
lessened the shock that some students feel with such a different
approach to learning. For many, it is their first experience with
self-guided learning. Now, a few years into this new
addition to Survivor Algebra, I'm completely sold that this is the way
to go to maximize student success.
So, let's walk through a typical
Wednesday class:
Tuesday night:
The student reads through the material that you'll be
discussing on Wednesday and tries to work through a handful
(5-10) of related problems.
Wednesday before
class starts: Write a positive motivational quote
on the board (or overhead projector). (See more about this
in my sections on success.)
When class
starts: Take questions! If someone is so
completely lost that they don't know what to ask, give a little
mini-lecture on the topic. I like to take questions on the
previous night's reading first, then questions from recent
previous sections... I won't answer any questions from
future material (some students actually do read ahead.)
The reason I don't do this, is that it will look like an alien
language to the other students and we want to avoid that
clueless feeling at all times. Questions usually fill 5-20
minutes depending on the topic.
When questions
are over: Now, I ask THEM questions. Have them
close their books and see if they can do some problems cold.
Give them a little time to try the problem, then (without
talking) start putting some of the steps up on the board.
Sometimes they just need to see the first step to be able to get
the rest. After enough time has passed (you'll know), then
talk the class through the problem.
After this:
Put them into groups (their tribes) and give them some problems to
work together. Start with some basic ones, then put a
couple "thinkers" in there. For example, if they just
learned how to solve x^2-4=0, see if they can figure out how to
solve x^3-4x=0. During this tribe time, I'm always
available to answer questions. Students just raise a hand
and call me over. I also walk around and watch. This
is really a great time to get to know your students on a more
personal level -- and for them to get to know you.
I then assign another handful of questions
for that night's homework (5-10). With homework, always keep in
mind that they'll have to have time to read and start in on the next stuff.
So... have you noticed that I don't
give a huge number of homework problems? I definitely do
NOT assign the
100 problems that appear in the typical math text. Not even the 50
odd problems! That's just way too many and really not necessary at
all. Students with 50 problems to do are overwhelmed and
so worried about being able to just finish end up working to and don't
pay attention to what they are doing. They don't stop to
smell the roses! Have students do 5-10 problems (pick
important ones). Explain to them that you want them to do
them slowly and thoughtfully. They are to take their time
and pay attention to the details. This will greatly
relieve their anxiety and, yes, they WILL learn the material
even better.
If you really still want to assign those obnoxiously difficult problems that
appear at the end of those long textbook sets, I suggest that
you do it during their tribe
group time. Just be aware that, if you get the kids too
freaked about all those "special cases" and freakish things that
can happen, they may not "get" the basics... And getting
the basics is far more important!
Btw, things
may get a bit noisy during tribe time... Even if they are
just talking about math! When I need to get their
attention (for example, if a student has just asked a really
good question and I want to give the answer to the entire
class), I just go over and turn off the lights. This is
their signal to be quiet and listen.
Just a
quick word here about daily quizzes and "pop" quizzes. I
am NOT a fan of these! I want my students to come to class
feeling relaxed and safe. If there is always a quiz
waiting for them, they will always be nervous and dreading
seeing your face.
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