Reflection Logs
Your reflection log questions will be posted here as they are presented
in
class.
January 19: Describe your experience in 140.
January 21: After two classes, reading the course information and
rereading the preface to the
explorations manual, how do you believe our 141 class will
compare to your 140 experience?
January 24: In today's society we are continually bombarded with
survey results. What challenges did you discover today that face
survey writers? Have you written a survey for some purpose and
gotten surprising results due to the way the questions were
phrased? Discuss.
January 26: Complete "Looking Back" question 1 for activity 7.4.
January 28: How are you feeling about working in groups?
Discuss your thoughts on the experience. What can you do to make
the experience more productive?
January 31: Generalise today's experience. What
difficulties do you see in using the experimental method to answer any
question.
February 2: We see statistics all around us. Find an
example of a statistic in the media (any form) that you consider
reliable and one that you question. Discuss why you trust one and
not the other.
February 4: Already in this class we have engaged in several
diverse activities, and we have had almost no lecture time. Why
is this appropriate for our course? How will this compare with
your future experiences teaching elementary school?
February 7: What are your personal goals for this course?
What do you hope to get out of this course? Are your personal
goals in-line with the course goals as described? What will you
put into the course in order to acheive your personal goals?
February 9: Consider the following situation: I play a
simple game with you and your friend. I flip a coin and will pay
$2 to you if it is heads and $2 to your friend if it is tails.
The coin turns up
heads and I pay you $2. Your friend says "That's not
fair." What does this mean? How does it relate to when
students say the same thing after not being given credit for late
assignments? Discuss.
February 11: Today we begin geometry. Discuss your prior
experiences and feelings with geometry.
February 14: It seemed to me that many of you followed a sequence
of steps today like the following:
1. Huh?
2. Oh, now I understand what they want.
3 How do I do it?
4. I have an idea.
5. I try my idea (does it work? if no, go to 3, if yes, go
to 6)
6. I got it!
Discuss how this felt. Were you frustrated along the way?
Did your frustration pay off in steps 2 and 6 with personal
insight? Is enduring the challenges worth the rewards at the
end?
February 16: Today we worked with geometric proof. What is
your experience with geometric proof before this course? What
were your feelings during the process today? How did you feel
about it at the end?
February 18: How did you feel about discussing your thoughts
about images? How did you feel about others' responses? How
did you feel about reproducing images from memory? What did you
learn from today's activities and how do they apply to your future
career?
February 21: How did watching actual children in an actual
classroom fit with your prior expectations about teaching?
Describe the experience both socially and mathematically - that is, be
sure to comment on the mathematics of the teacher and the
students.
February 23: How did you feel about doing an extension of the
activity we saw the children do on video? Now that you have done
the activitiy yourself, what do skills and concepts does this activity
develop (for you and the children)?
February 25: Did you find "the right" definition today? Why
not? Discuss.
February 28: Today we discussed a kinematic approach to the sum
of the angles of a triangle (using a high-level idea of
holonomy). Some students' learning styles are disposed to
kinematic learning. Discuss your reactions to this example and
suggest other ways you could incorporate kinematic learning of
mathematics in your classroom.
March 2: Today, in order to make up a bit of time, we talked
through things as a whole class, thus requiring less individual
accountability. How did you feel about this? Did you feel
it was as good for your personal understanding as working to develop
your own understanding? (Be careful to distinguish "easier" and
"more comfortable" from "good for you".)
March 4: It is my impression that today combined review of tests
for congruence of triangles and an extension to tests for congruence of
quadrilaterals. Was some of the material review and some
surprising? Discuss.
March 7: What did you think of having a theme story in class
today (the museum)? Would you like if we did more often?
Would you like to try such a thing in your classes?
March 9: How do you feel entering the exam? What
aspects are you confident about? What aspects are concerning you?
March 11: How did you feel about the exam after having taken
it? Was it what you expected?
March 21: Now that you have had your exam returned, what have
you learned from the experience? Were there any surprises in
evaluation?
March 23: We're at a midterm reflection point. How do you
feel about how things have gone so far? What would you like done
differently for the second half? What will you do differently for
the second half?
March 25: How do you feel about the new (assigned) groups?
March 28: What are your thoughts and feelings about the geoboard
and mira activities that we have been doing recently? Have you
used these tools before? Do you find them useful?
March 30: Can you think of any tools for rotation that may be
more useful than tracing? Discuss.
April 1: What was different about today's class with Professor
Wallace?
April 4: missed a day. no question here.
April 6: How do you feel about this larger project that we are
now pursuing with tesselations?
April 8: No question today. Two on April 11.
April 11 (replacement for April 8): Assess your presentation
today. What were its strengths
and weaknesses? What did you learn from the extended
experience?
April 11: How do you feel entering the exam? What
aspects are you confident about? What aspects are concerning you?
April 13: How did you feel about the exam after having taken
it? Was it what you expected?
April 15: Now that you have had your exam returned, what have
you learned from the experience? Were there any surprises in
evaluation?
April 18: Were there any surprises for you on Friday when we
discussed the definition and meaning of pi? Anything particularly
interesting?
April 20: On Monday we had two parts of our exploration -- one
was open-ended exploration of possible areas of squares and rectangles
on geoboards, the other was the goal-driven development of area
formulas for triangles, parallelograms and trapezoids. Which one
did you prefer? Why?
April 22: Today we looked at possible table arrangements from a
mathematical point of view. Discuss some of the social
consequences of some of the different table arrangements that you
considered.
April 25: Due to the extended nature of the next question, I will
count that as two questions and we will have no question for 11/29.
April 27: Please reflect on the course as a whole. Good
questions to address: What was most surprising? What are
you most pleased to have learned? Is there anything you wish you
had learned (please remember teaching children mathematics is the
subject of CURR 316)? Please include any other summarial
thoughts.