Instructor: Martha
Wallace
Class Meetings:

Texts

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 StandardsBased 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 standardsbased 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. (handout) 
• 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. 6466; 274279; 354359. • 2. MN Framework: Connections, pp. 320 
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.: 6771; 280285; 360364.  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.: 5657; 262267;334341. 
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.: 6063; 268273; 348353. 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.: 3236; 214221; 290295. • 2. MN Number Standards, 511 • 3. Curriculum Focal Points for Number, 58 (pp. 1720) 
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:

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 

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.: 182188 (all); 256262 (Student 1); 334342 (Student 2) • 2. Preface and Chapters 12 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 JeanMarie Laborde's colloquium at 1:30 if possible

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, 9:0011:00 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 K12 Academic Standards in Mathematics Revision
Frequently
Asked Questions about the 2007 Minnesota Mathematics Standards and
Benchmarks for Grades K12
Dept
of Education Mathematics
Connecting Students to Advanced Courses Online