Week 1
TOPIC/Activity REFLECTION in Wiki Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
2/08 • Introduction and Resources
• Looking at Standards-Based Teaching
• Plan and Requirements for the Course



2/10 • What is Mathematics?
• What does the ideal mathematics class look like?
•Answer the following in your reflection wiki.
1. In your mind, what is mathematics?
2. NBPTS description
• Read and take notes on MN Framework: Case for Change






2/12
What makes an effective mathematics teacher?
Resources for Teaching Mathematics
Answer the following in your reflection wiki.
1. Ask three non-math people what they think mathematics is. What are the commonalities and differences in their responses?

2. Describe the beliefs about mathematics held by one of the mathematics teachers that you observed in your high school clinicals. How do you think their beliefs affected their ways of teaching?
1. Find a review from last year's class that makes you want to read the article. Be ready to report on the review in class. Pick your review from the category assigned to you:
Charles-Activities
Emily-Communications
Katie-Connections
Kerry-Equity
Mat-Problem Solving
Zach-Representations

Consider the fraction division problem we looked at in class. Think of an easier division problem could help students understand fraction division. Also, think of an application for fraction division.

(Note problem was 15/16 divided by 3/4.)




Week 2
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
2/15 • The Case for Change • 1. How has your thinking changed about what mathematics is after reading Halmos, and Devlin papers? How do beliefs about mathematics affect the teaching and learning of mathematics?


Read and reflect (see journal assignment) on:
• 1. Devlin: Making the Invisible Visible
• 2. Halmos: Mathematics as a Creative Art:
List the main points of each reading and decide where you fit in Halmos' description.
• At least one article review about any topic in an an NCTM journal dated after May 2009. (Go to Your NCTM account, or ask me.)


2/17 Principles:
• Equity
• Curriculum
• Teaching
• Learning
• Assessment
• Technology
In your wiki journal, reflect on the PSSM readings due today and the Case For Change reading last week. What expectations do they hold for all students? Which do you see as most controversial? What is the strongest case for standards-based mathematics? What do you think is already in place? Read and take notes on:
• 1. PSSM: Chapter 1 (In L:Drive folder)
• 2. PSSM: Chapter 2: Principles for School Mathematics
(In L:Drive folder)



• At least one article review
about Equity or Differentiating Instruction in mathematics

2/19 Catch-up day
In your wiki journal, comment on any mathematics issue that you have been considering. Bring any notes that we have not already discussed.
No specific reviews due today, but you might want to get a head start on next week's reviews.



Week 3
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
2/22 Principles:
• Equity
• Curriculum
• Teaching
• Learning
• Assessment
• Technology

Bring Your PSSM to class
Reflect on: •The ways you can think of that will allow us to challenge the top students without demoralizing the struggling students.
A comparison of the PSSM Principles
and the
Best Practices advocated in your MN Framework readings. Similarities, differences?


Review your notes for PSSM: Chapter 2: Principles for School Mathematics

Read and take notes on:
• 1. MN Framework: Best Practice 1 Learning
• 2. MN Framework: Best Practice 2 Teaching and Assessment
• 3. MN Framework: Best Practice 4 Equity





At least one article review about Using Technology as a tool for teaching/learning mathematics.
2/24 Principles:
• Equity
• Curriculum
• Teaching
• Learning
• Assessment
• Technology
In your reflection Wiki , reflect on what you would add or change to make Mat's mini-lesson into a full lesson.
NO READING NOTES DUE TODAY! We will keep trying to catch up. Review the article:

Intervention Strategies for Underprepared Students

(This means everyone will review the same article.)
2/26 Catch-up In your reflection Wiki , reflect on the task analysis activity we did on Wednesday

No article reviews due, but you might want to get ahead.


Week 4
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
3/01 Info on long-term projects.
Begin Curriculum Study
Reflect on the discussion we had on Friday about different ways to teach a lesson. In particular, how can you:
critique your own lessons?
Critique other teachers' lessons in a positive way?
How can you ask for help and from whom?
No reading required for today, but look at the one due Wednesday.
No article review required, but note that one is due on Wednesday along with the Inquiry reading/writing assignments.

3/03 Inquiry-based teaching
Reflect on what you would look for in a textbook that would help you follow standards-based teaching recommendations. Read the Inquiry book.
Take careful notes on the following sections:
pp. 3-7: everyone
pp. 7-14: AK, MD, CW
pp. 15-19:KW, KM
pp: 22-26: EJ, ZE
We will make your notes available to the class, so word process and send to me.
At least one article review about Reasoning and Proof in teaching mathematics.

3/05 Inquiry, Curriculum,
Connections
Reflect on
1. Find the error in Mat's problem. If you cannot find it, explain what you tried.
2. Is this problem appropriate for this class? Why?

Read and take notes on:
• 1. PSSM, Curriculum Principle 14-16.
• 2. PSSM,
Reasoning and Proof Standards in middle and high school: PSSM pp.: 56-57; 262-267;334-341
At least one article review about Curriculum in teaching mathematics.


Week 5
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
3/08 Proof, Algebra


Reflect on how you will use reasoning and proof in your teaching of mathematics. • 1. PSSM, Algebra Standards in middle and high school: PSSM
pp. 222-231;
296-306.
• 2. Minnesota Algebra Standards. Read grades 5-12.

At least one article review about teaching Algebra
3/10 Algebra Lesson in CPM, Lisa Fisher-Comfort
Reflect on important issues in teaching algebra and what will make it difficult.
Read and take notes on:
Connections in:
• 1. PSSM, Connection Standards in middle and high school: PSSM pp. 64-66; 274-279; 354-359.

• 2. MN Framework: Connections, pp. 3-20

and Communication in:
• 3. PSSM, Communication Standards in middle and high school: pp.: 60-63; 268-273; 348-353.

• 4. MN Framework: Best Practices 3 Interactions
.
No article reviews today -- you have too many other things to read. But get ahead if you wish.
3/12 Catch-up
Reflect on w
1) What you learned in class on Wednesday.

2) Connections in mathematics as advocated in both PSSM and the MN Frameworks. What do they mean for you as a teacher of mathematics?
Bring your notes on Connections (first two listed above).
No article reviews due, but notice that two are due Monday: Read 2 articles, one on Number and one on Connections

Week 6
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
3/15
Reflect on the connections between reading ability and mathematical achievement. How will you identify the fluency and comprehension levels of your students and what will you do to help them? Review your notes on:
Connections in:
• 1. PSSM, Connection Standards in middle and high school: PSSM pp. 64-66; 274-279; 354-359.

• 2. MN Framework: Connections, pp. 3-20

and Communication in:
• 3. PSSM, Communication Standards in middle and high school: pp.: 60-63; 268-273; 348-353.

• 4. MN Framework: Best Practices 3 Interactions
.
Two article reviews about: 1)Number, Operations, and Number Sense;
2) Connections
3/17
Teaching Number, Operations and Number Sense


Reflect on the similarities and differences between PSSM and MN Number standards
How will you implement these standards?
Read and take notes on:
• 1. PSSM Number Standards in middle and high school: pp.: 32-36; 214-221; 290-295.
• 2. MN Number Standards, 5-11
At least one article review about using
Questioning in teaching mathematics
3/19
Catch up
Reflect on your thoughts about teaching mathematics. Also, provide info about your field experience (see e-mail). None required
No specific article required, but you may wish to look at Monday's assignment, or write and review an article on any topic.


Week 7
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
3/22
1. Unit Planning

2. Choosing a NSF text.
Reflect on the unit plan that you did for Ed 330. What was your topic, what were the source(s), what did you learn?

Read and take notes to share on Geometry and Measure. You don't need to write anything, but be prepared to talk about your assignment.
Write a description of the ways that you found to illustrate addition and subtraction of positive and negative integers using 1) chips; 2) bills and checks. Review an article on geometry.



3/24 Geometry
None

No reading due
None due, but if you want to get ahead, review any article.
3/26 Technology: Sketchpad
Reflect on:
1) list the integrated text and unit that you will use for your unit plan. Make this reference specific so that I can find a similar unit in a non-integrated text while you are on break.
2) List the reviews you found in the Reading section and record your reaction in a sentence or two. You need not cite full information about the review. Just cite the Reviewer name and number (e.g. John3).
1) Look at the Technology Reviews collection listed near the top under Reviews. Find and read all of the article reviews related to using technology in geometry. Search through all Technology reviews -- our class and previous classes. Reflect on your impressions as described in the Reflection section at right.
2) Bring your completed folding project to class.
None due, but if you want to get ahead, review any article.


SPRING BREAK

Week 8
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
4/05 BREAK



4/07 Unit Plans continued

Geometry

No new reading, but review and bring your notes from March 22 on Geometry and Measure. Be prepared to describe the content of your reading assignment:
No reviews required, but you may wish to read one on any topic.
4/09 Web sites


Reflect on how you can use technology, not to replace skills, but to enhance teaching of concepts, processes, and/or skills. Browse NCTM's Illumination site and the National Library of Virtual Manipulatives. Be prepared to talk (in some detail) about specific items and how they can help you.

At least one review about one or more websites in addition to those listed on the left. Describe the site content and comment on how you will use it.



Week 9
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
4/12 Web sites
TI-Nspire


Reflect on:
identify at least two specific mathematical skills or concepts that you would like some ideas for teaching. What makes them hard for you to find an effective teaching strategy?

1) Browse the website http://www.cut-the-knot.org No formal notes required, but be prepared to talk of this one, Illumination site and the National Library of Virtual Manipulatives assigned last week.

2.Learn the basics of using the TI-Nspire. Start with the document Getting Started on your calculator. Use the PDF file Getting Started below this table to help you to, what else, get started. Other helpful resources follow.

At least one review about any mathematics article, book, or website. If you run out of time, this does not need to be done by Monday.

4/14
Web sites
Hard to teach topics
Beginning Unit plans.
Try to come up with some ways that you might teach students about algebraic equations and variables.
1) Read the guidelines for unit and lesson plans and for the BOT portfolio as listed in the in the Feb1-7 box. Note any questions you have.
2) Be prepared to talk about the three websites listed in point 1 for 4/12
At least one review about any mathematics article, book, or website.
4/16
More algebra
Think of a number trick that begins: "think of a number". Then continue with more directions like add 5, multiply by 6, etc. until students all get the same number.
Work the problems on the problem sheets that I distributed in class. In each case, list what errors students might make. (Sheets entitled Examples of Using Symbol Sense and Test Questions.)
Read and review the Usiskin article Conceptions of School Algebra. How does it relate to our class discussion?



Week 10
TOPIC/Activity REFLECTION in Journal Due Before Class Today
READING Notes Due: Bring to Class Today WRITING due -- Submit Electronically Before Class Today: Bring a Printed Copy From Which to Talk
4/19

More on variables. Other hard topics.



Reflect on your impression of this web page showing the sine function.
How could it be helpful to you?

Keep working on story line for your integrated book.
Read and write an article review on the article given in class on Friday.

4/21


Problem Solving


Reflect on

Nothing. Use your time thinking about your story line for your integrated book. I have put the beginning of a storyline I did for one of the units.
Work on the problems distributed in class on Monday. Try to anticipate different ways that students would work them.

At least one article review on teaching mathematics through problem solving.
or
At least one book review on a book of problems to use or on mathematical problem solving. Spend about as much time browsing the book as you would reading an article.


4/23
Problem Solving
1) By Monday, make a preliminary concept map of your sequential text chapter.
2) By Monday, take notes (to hand in) on Chapters 1-3 of green Problem Solving Text.
Comment on Wednesday's class.
Any article or book review. You can wait and do two for Monday,

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