Syllabus, Education 350: Spring 2005










DATE TOPIC/Activity REFLECTION in Journal Due Before Class Today READING Notes Due: Bring to Class Today WRITING due: Bring to Hand in Today
2/08
  • Introduction
  • Looking at Teaching
  • Plan and Requirements for the Course



    • 2/10
  • What is Mathematics?
  • What makes a good teacher?
  • Resources for Teaching Mathematics
  • In your mind, what is mathematics?
  • Note: Please submit your reflections electronically.
  • 1. Halmos: Mathematics as a Creative Art : List the main points and where you fit in Halmos' description.

  • 2. 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.
  • NBPTS description






    • 2/15
  • The Case for Change
    		• Please submit your reflections electronically
    1. How has your thinking changed about what mathematics is after reading Halmos, Devlin, Mathematical Thinking papers?
    2. Reflect on the readings in PSSM and Framework due today. 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 reflect (see journal assignment) on:

  • Devlin article and Mathematical Thinking paper handed out on Thursday.
  • PSSM: Chapter 1 (handed out on Tuesday)
  • Framework: Case for Change (I have printed copies to borrow if you want - take one section out of the large white notebook on the boxes outside my door -- just take one and return in good shape.)

    		•
  • At least one article review from a journal in the last four years about some aspect of NCTM Principles and Standards
    • 2/17
  • Principles and Processes
    		• 1. What beliefs about mathematics are held by each of the teachers in the videos that we saw on Tuesday? How does each compare with what you think mathematics is?
    2. Reflect on Principles: which will be hard to implement, and which easy? Why?
    3. Pick one of the video teachers and outline what the teacher does to promote each of the five process standards
    		Read and take notes on:
  • PSSM: Chapter 2: Principles for School Mathematics
  • PSSM: pp. 52- 71: Process Standards (These are the last 5 standards)


    		•
  • At least one article review from a journal in the last four years about one of the six Principles or one of the five Process Standards





    • 2/22

  • Lesson planning

    		•  Free reflection -- on anything you are thinking about teaching mathematics
    		 Read and take notes on:
  • PSSM: pp. 28-51: Content Standards
  • Rubenstein, Section 3.2
  • At least one article review on teaching probability or statistics
    • 2/23
    		 Meet in Flaten 10
    Data Analysis and Probability
    		 What did you learn about data analysis and probability in middle school? In high school? How did your learning compare to the PSSM standards? PSSM: Data Analysis and Probability Standards in grades 6-8, 9-12: pp. 248-255, 324-333
    2/24 Statistics Workshop:
  • Attend as much of the statistics workshop as you can. Take notes so that you can reflect on your experience in your journal. before Tuesday.

    		•



  • Sometime this week,(before next Tuesday) do at least one article review on algebra





    • 3/01 Standards-based curriculum
    		 Reflection on statistics workshop
    		At least one article review on cooperative learning
    3/03
    		 Algebra and Patterns
    Curriculum
    		 No reflection due
    		At least one article review on anything





    3/08
    		 Middle School Curriculum Reports
    Microteaching: Algebra
    1. Mark


    3/09
    		 Meet in Flaten 10
    Middle School Curriculum
    Reports

    		 Reflection on microteaching
    		 Read and take notes on 2 articles by Usiskin that you picked up in class on Thursday.
    		 At least one article review on representations
    3/10
    		 Algebra, Patterns
    Symbolic Reasoning

    		 Reflection on similarities and differences between PSSM and MN algebra standards at your assigned PSSM level. Bring Notes on 1) Algebra and 2) Representations Standards
    PSSM: Ch. 6:
    SS, NE, BS, CT
    PSSM: Ch. 7:
    EW, MK, LS, HE
    MN 5-12: All
    		 At least one article review on connections





    3/15
    		Microteaching:
    Algebra 2. Sheila
    Jigsaw PSSM
    MS Curriculum Reports
    Algebra articles




    3/16
    		Meet in Flaten 10
    Cooperative Learning
    		 Reflection on your experience as a student with cooperative learning. What worked well, what were the problems?
    		 Read and take notes on: 1) cooperative learning models in Unit 1 of Rubenstein text and 2) your assigned handout article.
    		 At least one article review from the articles provided for Units 1 or 2 on Rubenstein CD
    3/17
    		 More Coop Learning Reflection on 3/15 microteaching
    		At least one article review on number and operations








    Second Half of Semester
    DATE
    		 TOPIC/Activity
    		 REFLECTION in Journal Due Before Class Today
    		 READING Notes Due:
    Bring to Class Today
    		 WRITING due: Bring to Hand in Today





    3/29 Curriculum comparisons
    Unit Planning
    Constructing a mathematical storyline

    		 None --just show up looking refreshed
    		 In class today, you will choose a NSF text unit for a unit plan. We will then find a similar unit in a more classic text in class.
    		 None --just show up looking refreshed
    3/30
    Flaten 10
    		 Rational Numbers:
    Bring Rubenstein to class
    		Be prepared to talk about the article that you read from the Rubenstein collection
    3/31 Microteaching:
    Algebra
    3. Liz
    4. Elizabeth
    		 Reflection: what should we make sure to cover in the rest of this semester?
    		2. Rubenstein:
    p. 77-81: 2-3,
    p. 82-83: 2-6,
    p. 86: 1-8
    p. 62-64: 2, 3, 5





    4/05

    1. Finish algebra tiles discussion.

    2. Discussion about Rubenstein assignment due 3/31.

    3. Microteaching: Number
    5. Brian



    		 Reflection on 3/31 microteaching -- how did each lesson reflect the PSSM standards for algebra?

    1. Compare MN Number Standards to PSSM at your assigned level (below).
    2. Take notes on Helping Children Learn Mathematics, 8-23.

    3. Answer questions below for your level of PSSM Number Standard:
    PSSM: Ch. 6: SS, LS, MK, HE
    PSSM: Ch. 7: NE, BS, CT, EW
    Questions on PSSM. For your level:
    1. Which number systems and their relationships form the focus?
    2. Which operations and their relationships form the focus
    3. What do fluent computation and reasonable estimation mean?

    1. At least one review on an Addenda book

    2. At least one review on a Navigations book
    4/06
    Flaten 10
    		 Concept Mapping
    Bring your non-nsf text to class


    4/07
    		 Microteaching:
    6. Nate

    Rational Numbers
    		 Reflection on 4/05 microteaching--how did each lesson reflect the PSSM standards and Helping Children Learn Mathematics?
    		 Be prepared to share your work on Rubenstein:
    p. 97-101: 10-11
    p. 103-107: 1, 2, 3, 4:
    		1. Construct a concept map of your mathematics major
    2. Storyline for your NSF unit.
    3. At least one article review on geometry
    4. Concept Map of Sequential Unit Plan





    4/12


    Catch-up

    		2. Concept Map of your non-nsf unit.

    3. At least one article review on reasoning and proof
    4/13
    Flaten 10
    		 Alternative Algorithms

    		At east one  article review on teaching algebra
    4/14

    Microteaching:
    7. Cory

    		 Reflection on any topic

    Bring Notes on 1) Geometry and 2) Measure Standards
    PSSM: Geometry in Ch. 6 and
    Measure in Ch. 7: SS, CT, EW, LS
    PSSM: Measure in Ch. 6 and
    Geometry in Ch. 7: NE, BS, MK, HE
    MN 5-12: All

    At least one article review on problem solving





    4/19
    		 Catch-up:
    We will talk about:
    1) Number Standards
    2) Rational Numbers
    3) Finite Differences
    		 Reflection on 4/14 microteaching. Bring your notes so that you can talk about the following assignments that you have done but that we have not yet discussed.:
    1. Rubenstein: p. 77-81: 2-3, p. 82-83: 2-6, p. 86: 1-8p. 62-64: 2, 3, 5
    2. Helping Children Learn Mathematics, pp. 8-23.
    3. PSSM: Answer questions below for your level of PSSM Number Standard:
    PSSM: Ch. 6: SS, LS, MK
    PSSM: Ch. 7: NE, BS, CT, EW
    Questions on PSSM. For your level:
    1. Which number systems and their relationships form the focus?
    2. Which operations and their relationships form the focus
    3. What do fluent computation and reasonable estimation mean?
    At least one   article review on communication
    4/21 Reasoning and Problem Solving: We will look at collections of problem solving books in class.
    Also, using literature
    		 Reflection on any topic Bring reviews that you have written on reasoing and problem solving.
    		 At least one article review on using technology





    4/26 Assessment
    		 Reflection on any topic Bring Notes on Stenmark book:
    pp. 1-24, and Portfolio section

    		 At least one article review on equity
    4/28
    		 Questioning
    Direct Instruction
    		Bring Notes on Johnson: Every Minute Counts and Stenmark, pp,. 30-32





    5/03 Sharing from MCTM
    		Reflection on the most valuable aspect(s) of the MCTM meeting for you Bring
    1) brief notes and handouts from MCTM
    sessions
    or (if not attending MCTM)
    2) summaries and url addresses from the five most valuable web sites for teaching mathematics that you have found.

    		 You may use up to three detailed reports of MCTM sessions as article reviews.
    5/05
    		 More Assessment
    and Equity
    		 Reflection on any topic Bring on separate index cards, a question at each level of Bloom's Taxonomy for some topic in your unit plan.
    		 At least one article review on any topic --
    if you have not yet written 20 reviews





    5/10
    		 Reality
    		 Reflect 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! Browse these two web sites and be prepared to discuss them:
    http://www.mathematicallycorrect.com
    http://www.mathematicallysane.com
    Read:
    1) "16 ways to be a smarter teacher"
    2) Ten Roles for Math Teachers In the Trenches
    		Concept Map, and Story Line for unit plans if you have not already handed them in.

    At least one article review on any topic --
    if you have not yet written 20 reviews
    5/12 Professional Growth
    		 Reflect one more time about what mathematics is. Do not look at your previous writings!
    		 Browse:
    Resources for Beginning Teachers.html
    		 At least one article review on any topic --
    if you have not yet written 20 reviews





    5/18 Final Exam: 2:30-4:30

  • Final, Sequential Unit Plan
  • Final, Integrated Unit Plan
  • Resource File for both unit plans
  • Final Portfolios: Math and Ed 350 Learning
    		•


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