SED
525 Methods for Teaching Secondary Mathematics Homework
due Feb. 16, 2009
Read:
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Garrison,
L. & Mora, J. K. (1999). Adapting mathematics instruction for
English-language learners: The language-concept connection. In L. Ortiz-Franco, N. G. Hernandez,
& Y. De La Cruz (Eds.), Changing the
faces of mathematics: Perspectives on Latinos (pp. 35-47). Reston, VA: NCTM. (in reader)
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Bellido, C., et al. (2005). The art of asking thought provoking questions
in the mathematics classroom. Find this position paper at http://prism.mspnet.org/index.cfm/12583 (click on the link with the title for
the pdf file).
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The California Mathematics Content
Standards for
ÒGeometry.Ó Find these at: http://www.cde.ca.gov. Click on ÒStandards & Frameworks,Ó
then ÒContent Standards,Ó then ÒMathematics,Ó then ÒGeometry.Ó
Do:
1) A conventional (low-level) exercise for
algebra students is to graph a linear function such as
y = 4x
– 6. Along the lines of any
of the modifications described by Bellido et al., modify
this task (that is, write a new question or prompt) that would require students
to deeply understand the relationship between a linear function and its
graph. (Note: I am not asking for
a teaching strategy, just a strategically designed question.)
2) Choose
a concept embedded in one of the CA Geometry standards. Then, choose either Domain B or C, as described
by Garrison and Mora. In 2-3
paragraphs, describe a lesson or classroom activity that fits the Domain you
chose and addresses the concept you chose.
3) Add notes about Garrison & Mora, and Bellido to your Author Notebook. Summarize:
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The
authorÕs (or authorsÕ) main point (1-3 sentences)
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How
the authorÕs ideas could be applied to the math classroom (for lesson planning,
assessment, task design, interactions with studentsÉ)
Also: Rabia, Christine, Julia, Larissa, David B., Mary,
Dave C., and Elaine will deliver their Activity ÒIntoÓ next week.
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In-class Reflection Writing
for Activity ÒIntoÓ Presentations
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If you presented an ÒIntoÓ tonight:
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What
went well, in terms of efficiently organizing the students and materials?
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What
went well in terms of motivating and guiding students to start the activity?
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If
you could do it over, what would you do differently to improve the
organization, efficiency, motivation, and/or guidance?
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If
you did not present tonight,
consider the ÒIntoÕsÓ that you saw tonight:
o
What
ideas did you pick up that might help you initiate activities in your own
class?
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How
might any (choose one or two) of these teachers modify his/her plan or
implementation in order to attain greater efficiency, motivation, or guidance
about the activity?
Please submit these reflections to me,
with your name. They will not be
shared with classmates.