Syllabus, Education 350: Spring 2004
   

Math Fun Facts!

Date Topic(s) /Activity Reflection in Journal Due Before Class Today Reading Notes Due: Bring to Class Today Polished Writing Due By Class Today
2/09
  • Introduction  and Resources
  • Standards-based teaching (what is a standard?  Why do we care?
  • Requirements for the Course
  • None
    None
    None
    2/11
  • Looking at teaching 
  • What makes a good mathematics teacher? 
  • Focus: Looking into a standards-based classroom
  • In your mind, what is mathematics?  Why do you want to teach mathematics? 
  • NBPTS description 


  • 2/13
  • What is mathematics? 
  • What does an ideal math class look like?
  • What beliefs about mathematics are held by the teacher in the video? How do his beliefs compare with what you think mathematics is? 

  • How does Halmos view mathematics?  How does it compare to your beliefs?  Where do you fall in his description?
  • Halmos: Mathematics as a Creative Art 

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  • 2/16
    Standards in Mathematics
  • Pick one of the video teachers and outline what the teacher does to promote each of the five mathematical processes listed in Chapter 1.

  • Article on 3 teachers
  • Brahier, Chapter 1
  • At least one article review  
  • 2/18

  • Reflect on the question about frustration that was raised in class today.  Who would get frustrated in each of the two classes?  How can  each of the teachers avoid frustrating those students?
  • One more reading on mathematics:
    http://www.maa.org/features/invisible.html
     Be prepared to discuss this and 3 teacher article in class.


  • At least one article review  
  • (Everyone except Nick and John -- who will read chapter 2 in book. -- write that up as an article.

  • 2/20
    Examples of good lessons.
    General reflection on teaching math, this class, anything you are thinking about related to teaching math.
    Pairs come to class prepared to talk about one lesson in the book you have that illustrates the 5 Process Standards you read about in Brahier, that is closer to Mr. Triangle Area than to Mr. Angle.  Each pair only has about 6 minutes, so you do not teach the lesson, but give us some idea of what it is and why you chose it.
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  • 2/23
  • Objects of Mathematics 
  • Constructing Lesson Plans

  • Reflect on the lessons that you saw on Friday -- good ideas, problematic situations, could you teach this lesson?
  •  Brahier: Chapter  5
  • At least one article review  
  • instead of printed article, find what you think is a good lesson on the web -- describe and critique it.  (Find lessons by looking at bottom of Course Resources  list.)
  • 2/25
    Standards, Case for Change

  • Framework: Case for Change 
  • Brahier: Chapter  3

  • At least one article review  on implementing NCTM standards
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  • 2/27
    Meet at 7:30
    Micro I:
    Barb
    Reflect on one lesson from volumes 2-6 of this video series:
    QA11 .T42 1996 

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  • 3/01

    In list form: advantages and disadvantages of:  1) classic and 2: integrated texts.  Bring hard copy to class
    Inquiry Strategies for Science and Mathematics
  • At least one article review  
  • 3/03
    Bring to class:
    Notes on inquiry book,
    Notes on Case for Change reading
    What can you do to improve the instruction  if you are teaching from a classic text, what about an integrated text?
    Why Should We Reduce Skills Teaching in the Math Class by Keith Devlin

    Look at some M.O.R.E. problems  in the  section in Core Plus that you used to find a lesson, especially E problems.
  • At least one article review  
  • 3/05
    Micro I: Erika and Lauren
    Reflect on the Devlin Article you read for Wednesday and on the Inquiry book you read for Monday.

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  • 3/08
    PSSM:  Principles

    PSSM, Chapter 2  (handouts)
    Ten Roles for Math Teachers
    In the Trenches
  • At least one article review  
  • 3/10
    PSSM:  Standards

    PSSM, Chapter 3  (handouts)
  • At least one article review  
  • 3/12
    Micro I:


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  • 3/15
    Micro I: Casey and Nick


  • At least one article review  
  • 3/17



  • At least one article review  
  • 3/19
    Principles,
    Unit Planning


    3/20-28
    Spring Break!



    3/29
    Concept Mapping, Unit Planning
    No reflection due

  • None
  • 3/31
    Algebra
    Index of Web Resources 6-8
    Index of Web Resources 9-12
    Algebra Applets

     Free reflection
    Note:  Keep your reflections in one file from now on.  Don't submit until the end of the class unless specifically instructed to do so.

    All-- PSSM: Review Algebra Standard in Chapter 3
    -- PSSM: Algebra Standard in Chapter 6: 
    EM, LEB,  MK, SK, JL, NL
    -- PSSM: Algebra Standard in Chapter 7:  AB, EB,  LB, NM, CR, BT


  • At least one article review  on Algebra
  • 4/02
    Algebra
    Problem Solving
    Reflect on the Minnesota standards for Algebra.  How do they compare to the NCTM standards
    All-- PSSM: Review Problem Solving Standard in Chapter 3
    --PSSM: 
    Problem Solving, Ch. 6: EM, LEB, EB,  LB, MK, SK
    -- PSSM: Problem Solving, Ch. 7: AB, JL, NL, NM, CR, BT


  • At least one article review  on Problem Solving





  • 4/05
    Number

    Reflect on the most important things you as a teacher should know about Problem Solving
    All-- PSSM: Review Number and Operations Standard in Chapter 3
    --PSSM: Number and Operations Standard in Chapter 6 :EM, LEB, AB, EB,  LB, MK
    --PSSM: Number and Operations Standard in Chapter 7: SK, JL, NL, NM, CR, BT



  • At least one article review  on Number

  • 4/07

    Reflect on the most important things you as a teacher should know about Algebra
     
  • Topic for  Unit Plans due today -- Choose a chapter from non-NSF book and instructor will help you find a matching NSF unit.

  • 4/09
    Easter Break








    4/12
    Easter Break



    4/14
    Number
    Representation

    Reflect on the Minnesota standards for Number.  How do they compare to the NCTM standards?
    Look at and be ready to talk about the three sheets that were handed out in class.
    All-- PSSM: Review Representation  Standard in Chapter 3
    -- PSSM: 
    Representation  Standard in Chapter 6 : LEB, EM, SK, JL, NL, NM
    -- PSSM: Representation  Standard in Chapter 7: AB, EB,  LB, MK, CR, BT

  • At least one article review  on Representation

  • 4/16
    Micro on Number or Algebra
    1. Noah
    2.
    Emily
    Reflect on the most important things you as a teacher should know about Number


    Concept Map and Objectives due for non-NSF Unit Plan.





    4/19
    Pattern finding and unit planning

    Bring your unit plan NSF text to class -
    Reflect on teaching  pattern -finding lessons like those you saw on Friday.  How would you do it, when would you use it?
  • 1) Finish Noah's worksheet
  • 2) Try to figure out a general answer to Erik the sheep -- how many sheep get shorn if a) m sheep ahead; and b) he jumps over n sheep at a time.

  • At least one article review  on  Geometry

  • 4/21
    Geometry
    Reasoning and Proof
    Reflect on the Minnesota standards for Geometry.  How do they compare to the NCTM standards?
    All-- PSSM: Review Reasoning and Proof  Standard in Chapter 3 and Review Geometry Standard in Chapter 3

  • -- PSSM: Geometry Standard in Chapter 6: LEB,  JL, NL
    -- PSSM: Geometry Standard in Chapter 7: BT, AB, EB
  • -- PSSM: Reasoning and Proof   Standard in Chapter 6: EM, NM, CR
    -- PSSM: 
    Reasoning and Proof  Standard in Chapter 7:  LB, SK, CR

  • At least one article review  on Reasoning and Proof

  • 4/23
    Micro on Geometry
    1. Seth
    2. Andy

    Reflect on the most important things you as a teacher should know about  Reasoning and Proof

    Concept Map and story line due for NSF Unit Plan.





    4/26
    Data

    Reflect on the most important things you as a teacher should know about Geometry
    All-- PSSM: Review Data Analysis and Probability Standard in Chapter 3
    -- PSSM: Data 
    Analysis and Probability Standard in Chapter 6 : LEB, EM, NM, CR, BT, AB
    -- PSSM: Data 
    Analysis and Probability Standard in Chapter 7: EB, LB, MK, SK, JL, NL


  • At least one article review  on Data Analysis and Probability

  • 4/28
    Data
    Communication
    Reflect on the Minnesota standards for Data and Probability.  How do they compare to the NCTM standards?
    All-- PSSM: Review Communication Standard in Chapter 3
    -- PSSM: 
    Communication Standard in Chapter 6 : LEB, EM, CR, BT, AB, EB
    -- PSSM: 
    Communication Standard in Chapter 7:  LB, MK, SK, JL, NL, NM
  • At least one article review  on Communication

  • 4/30
    MCTM








    5/03
    Technology
    Concept Standards Applets
    Reflect on your MCTM or alternate professional experience
    All-- PSSM: Review Technology  Principle
    All-- Brahier, Chapter 7


  • At least one article review  on Technology -- if you have not already reached your 20 articles

  • 5/05
    Technology
    Connections
    Reflect on the most important things you as a teacher should know about Communication
    All-- PSSM: Review Connections Standard in Chapter 3
    -- PSSM: Connections
    Standard in Chapter 6: LEB, EM, BT, AB, EB, LB
    -- PSSM:
    Connections Standard in Chapter 7: MK, SK, JL, NL, NM, CR

  • At least one article review  on Connections-- if you have not already reached your 20 articles

  • 5/07
    Questioning/Assessment
    Balanced Assessment
    Reflect on the most important things you as a teacher should know about Data Analysis and Probability

    None








    5/10
    Micro on Data
    1. Lori
    2. John

    Write one more time about the class that you would have me observe if  you were up for NBPTS certification, making sure to address details about content, activities, etc.  Do not look at your previous writings! Optional -- Brahier, Chapter 8
  • Optional-- Stenmark: pp. 1-24, plus Portfolio section

  • At least one article review  on Assessment-- if you have not already reached your 20 articles

  • 5/12
    Assessment again
    What is mathematics?  Write about this one last time.  Do not look at your previous writings!
    All-- PSSM: Review Assessment Principle All-- PSSM: Review Equity  Principle

    Optional: -- Brahier, Chapter 9

    Optional: Five Standards for Effective Pedagogy
  • At least one article review  on Equity-- if you have not already reached your 20 articles

  • 5/14
    Reality
    Submit Your Reflective Journal in Class Drop Box -- this must be done before last final exam questions are distributed!
    Browse these two web sites and be prepared to discuss them:
    http://www.mathematicallycorrect.com
    http://www.mathematicallysane.com






    5/17
    Professional Growth

    Optional: --Brahier, Chapter 6
    Review--
    Ten Roles for Math Teachers
    In the Trenches

    Optional --"16 ways to be a smarter teacher"
    Optional --Resources for Beginning Teachers.html

    5/22
    Final Exam, 2:30-4:30

  • Final, Non-NSF Unit Plan
  • Final, NSF Unit Plan
  • Resource File for both unit plans
  • Final Portfolios: Math and Ed 350 Learning (includes final exam questions)







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