Education 350: Teaching Secondary Mathematics

Tentative Syllabus and Assignments, Spring 2009

Instructor: Martha Wallace
SC 256
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wallace@stolaf.edu
Office Hours: click here for current schedule

Class Meetings:

Class Work: 12:20-1:50 MW
10 hours in middle or high school mathematics classroom, arranged according to your schedule

Texts 

  •  Schoen, Teaching Mathematics through Problem Solving, Grades 6-12
  • NCTM,  Principles and Standards for School Mathematics
  • NCTM, Curriculum Focal Points
  • Johnson, Every Minute Counts



Week 1
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
2/09 • Introduction and Resources
• Looking at Standards-Based Teaching
• Plan and Requirements for the Course



2/11 • What is Mathematics?
• What makes a good mathematics teacher?
• Resources for Teaching Mathematics
• What does the ideal mathematics class look like?
In your mind, what is mathematics? What is it about mathematics that makes it the subject you want to teach?
• 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.
• 2. Read and take notes on MN Framework: Case for Change
•  NBPTS description (Submit this one on paper or by email to wallace)

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
2/16 • 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?
• 2. Reflect on the readings in PSSM and Framework due Thursday and 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:
• 1. PSSM: Chapter 1
• 2. Devlin: Making the Invisible Visible
• 3. Halmos: Mathematics as a Creative Art : List the main points and decide where you fit in Halmos' description. (hand-out)
• At least one article review about Equity or Differentiating Instruction in mathematics
2/18 Principles:
• Equity
• Curriculum
• Teaching
• Learning
• Assessment
• Technology
Bring Your PSSM to class
Describe the middle and high school clinical experiences that you have had. For each, describe the beliefs about mathematics held the teachers that you assisted. How does each compare with what you think mathematics is?
Read and take notes on:
• 1. PSSM: Chapter 2: Principles for School Mathematics
• 2. MN Framework: Best Practice 1 Learning
• 3. MN Framework: Best Practice 2 Teaching and Assessment
• 4. MN Framework: Best Practice 4 Equity

• At least one article review

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
2/23 More Equity Processes:
• Problem Solving;
• Reasoning/Proof
• Communication
• Connections
• Representation
1. Reflect on Principles: which will be hard to implement, and which easy? Why?
2. Pick one of the video teachers that we have seen and outline what the teacher does to promote each of the five process standards
• 1. Read and take notes on:  PSSM, Chapter 3: Content and Process Standards
• 2. Complete chart on Content vs Process Standards (print using landscape mode).
At least one article review about Connections in mathematics and/or mathematics teaching
2/25 Connections
Reflect in your reflection Wiki on the processes and consequences of expanding mathematical systems. Use natural to rational to real numbers as an example.
Read and take notes on:
• 1. PSSM, Connection Standards in middle and high school: PSSM pp. 64-66; 274-279; 354-359.
• 2. MN Framework: Connections, pp. 3-20
At least one article review about Representations in teaching mathematics.

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
3/02 Representation Reflect in your reflection Wiki on how you will use connections in your teaching of mathematics.
• Read and take notes on: PSSM, Representation Standards in middle and high school: pp.: 67-71; 280-285; 360-364. At least one article review about Reasoning and Proof in teaching mathematics.
3/04 Reasoning & Proof Reflect on how you will use multiple representations in your teaching of mathematics.
Read and take notes on:
Reasoning and Proof Standards in middle and high school: PSSM pp.: 56-57; 262-267;334-341.
At least one article review about Communication 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
3/09 Break to Catch Up on All the work you have done so far
3/11 Communication Reflect on how you will use reasoning and proof in your teaching of mathematics. Read and take notes on:
1. PSSM, Communication Standards in middle and high school: pp.: 60-63; 268-273; 348-353.
 2. MN Framework: Best Practices  3 Interactions
At least one article review about teaching Number and Operations

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
3/16 Teaching Number, Operations and Number Sense Using Calculators. 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? 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
• 3. Curriculum Focal Points for Number, 5-8 (pp. 17-20)
At least one article review about teaching Algebra
3/18 Number, continued

Cooperative Learning

Lesson and Unit Planning
Reflect on the similarities and differences between PSSM, Focal Points and MN number standards
How will you implement these standards?
Go to the St. Olaf P: Drive. Open folder Apps and then folder sketch4. Then run GSP 4.00.exe
Work through enough of the material in the book that you are familiar with the basics of Sketchpad. Try out some of the files in the Sample folder.
At least one article review about anything -- your choice
Break Spring Break




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
3/30 Conic Sections: Folding and Dynamic Geometry
None
None
None
4/01
NSF Curricula
Number, Dynamic Geometry, Questioning, Levels of Thinking Continued


Bring all notes so far and handouts that I have given you on the topics listed at left.


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
4/06 Teaching Algebra, Patterns Symbolic Reasoning Using Graphing and Symbolic Calculators. Reflect on what you want to get out of the rest of the course. Read and take notes to share on Algebra Standards:

Student 1: Student 2: Student 3:
At least one article review about teaching Data and/or probability if you have not already done one.


Be sure you have completed the Algebra review assigned earlier.


4/08 Teaching Statistics and Probability Using Fathom

Topic for Unit Plans Due

Reflect on the PSSM, Focal Points and MN algebra standards. How will you implement these standards? Read and take notes to share on Data and Probability

At least one article review on teaching mathematics through problem solving or inquiry
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.



Be sure you have completed the Data review assigned earlier.


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
4/13
  • Constructing a mathematical storyline
  • Concept Mapping
  • Teaching Mathematics through Problem Solving
Reflect on the PSSM, Focal Points and MN data standards. How will you implement these standards? Read and take notes on:
• 1. PSSM, Problem Solving Standards in middle and high school: pp.: 182-188 (all); 256-262 (Student 1); 334-342 (Student 2)
• 2. Preface and Chapters 1-2 of Teaching Mathematics Through Problem Solving
Review at least one article on teaching Geometry or Measure



4/15
Teaching Shape and Space Using dynamic geometry software.

Concept Map and Story Line
for Unit Plans Due
Reflect on Mathematical Habits of Mind. How many do you use? How will you teach them? Read and take notes to share on Geometry and Measure::

Review at least one Addenda book.


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
4/20 More Problem Solving

Reflect on your problem solving readings. How does this approach compare to your experiences as a learner and as an observer in current classrooms? Read and take notes on:

Teaching Mathematics Through Problem Solving, Chapter 3
At least one article review on using technology in teaching mathematics.


4/22 Linking Algebra and Geometry
General reflection
NO CLASS AT 8 a.m. Instead come to Colette Laborde's talk at 4:00
Also attend Jean-Marie Laborde's colloquium at 1:30 if possible
  • Practice Using Cabri Geometry
  • Review PSSM Algebra, Geometry, and Connections Standards
At least one review

Week 11
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
4/27 Colette Laborde in class.
Reflect on Colette Laborde's talk and think of questions to ask her.

Teaching Mathematics Through Problem Solving: Chapters 5 and 6 Review at least one Navigations book.
4/29 Direct Instruction Questioning again Reflect on your reading of Chapters 5 and 6 in the Problem Solving Book What have you learned from them to help you in your unit planning? Johnson, Every Minute Counts
At least one review

Week 12
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
5/04 During Community Time: From an Expert Teacher:
Working with others to help your students; maintaining records;communicating student progress; growing as a teacher
Reflect on the questions you want to ask the expert teacher who will visit today. Teaching Mathematics Through Problem Solving: Chapter 7 Review at least one article on assessing student learning of mathematics.
5/06 Technology
Assessment
Reflect on the guest lecture. How will you work with your department, school, and district, and use outside resources and extracurricular opportunities to meet your students' needs? Teaching Mathematics Through Problem Solving: Chapter 12
At least one review

Week 13
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
5/11
Reflect on how you will use your assessment knowledge in teaching mathematics.
Browse these two sites amd be prepared to report on your reactions:
Find a good! lesson plan on the web for teaching one of the content standards in middle or high school math and describe and review.
5/13 Growing as a Professional Reflect on the guest lecture. How will you work with your department, school, and district, and use outside resources and extracurricular opportunities to meet your students' needs?




5/19 Final Exam, 9:00-11:00

Unit Plans Due

Includes question that address BOT standards assessed by Final Exam.




Additional Resources

Curriculum and Assessment Alignment Form for Mathematics

Curriculum and Assessment Alignment Form for Mathematics - Examples

Final Draft: Minnesota K-12 Academic Standards in Mathematics Revision

Frequently Asked Questions about the 2007 Minnesota Mathematics Standards and Benchmarks for Grades K-12

Dept of Education Mathematics
Connecting Students to Advanced Courses Online



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