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June 10 - 13
Monday:
- Submit in HTML an introduction to yourself. Include the
following information: name, hometown, major and degree program, teaching
experience (if any), what you hope to gain from this class.
- Principles and Standards 2000 is a document that articulates
national-type goals for school mathematics. In class, you will be assigned a
section of the document to read and dissect. This document expresses
principles and goals that are intended to guide school mathematics teaching
for all students. Does this document reflect your experiences in mathematics
classrooms? How so or how not? To what extent does this document reflect or
differ from your own personal beliefs about teaching and learning mathematics?
Be prepared to discuss the reading in class tomorrow. In your folder, prepare
a short summary and reaction to what you've read--address the questions above.
- In class today, we will peruse the MSTE website. There, you
will find many activities, lessons, and Java applets designed for mathematics
classrooms. Pick one and describe briefly how you could see using this
resource in a math lesson.
Tuesday:
- In class today, we discussed two math concepts--division of
fractions and "negative x negative = positive." Describe briefly how your
group handled these concepts.
- Read Brahier, Chapters 1 and 2 for tomorrow. Respond to the
following questions.
- What are some problem-solving strategies that you tend to
use or migrate towards when solving mathematical problems? Are there some that
are more effective for you than others? Why do you think that this is
so?
- Think about your own mathematical development in middle and
secondary school. When you read Chapter 2 that discusses learning theories in
mathematics, are there sections that "ring true" for the ways in which you
learned mathematics as you look back? How so? How does your self-perception of
how you learn mathematics compare with ideas presented
here?
Wednesday:
- Respond to Question #5, Page 52 at the end of Chapter
2.
- Work on your short mini-lesson to present in small groups on
Thursday. Plan for no more than 12-15 minutes. We will discuss details in
class on Wednesday and you will have time to work on plans for this
presentation. Your lesson plan should be in your folder.
- Begin reading and working with your group to dissect one
content standard and one process standard in the Principles and Standards 2000
by NCTM. No need to put anything written at this time in your folder.
Thursday:
- Be prepared to teach a short mini-lesson this Thursday (the
same for each of the first 3 weeks). You will teach these mini-lessons in your
small groups. The amount of time allotted for each person's "micro-teaching"
will depend on the total enrollment in the course. I anticipate that the
maximum time for each person will be 15 minutes.
- The lesson for the first week should incorporate some
resource or method used/discussed in class, but can be at any grade level you
choose and on any topic you choose. Resources used in the first week of class
will include online resources from the MSTE website, Geometer's Sketchpad and
some manipulatives. Methods will focus on inductive reasoning and concept
attainment.
- For Monday, Read Brahier, Chapter 5. There will be questions
to answer on this on Monday night's homework.
- Also, read carefully your assigned section of the content
and process standards from the Principles and Standards document. Work with
your group to prepare your summaries, activities, etc. These will be due next
Thursday in class.
- Concept attainment activity: Select a concept in
mathematics, e.g., 'closed polygons' was the example in the text. Now, create
a short "concept attainment" activity that employs inductive learning by
creating several examples and non-examples of this concept. However, do not
identify upfront which are examples and which are non-examples. Be prepared to
share this activity from your folder on Monday. Class members will try to
discern what concept you are presenting by characterizing the common
properties of examples. There is an example in the text on page 44.
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