MA 3070
Knowing and Teaching Mathematics
© Barbara Boschmans
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Required textbook: Elementary and Middle School Mathematics: Teaching Developmentally,
7/E. (2010). John A. Van de Walle, Karen S. Karp, and Jennifer M.
Bay-Williams. Publisher:
Allyn & Bacon. ISBN: 978-0-205-57581-7 |
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your grades: http://www.engrade.com/bboschmans
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log in: your code is: engrade-bboschmans-
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WHAT |
CHAPTER |
IN
CLASS WORK AND HOMEWORK |
RESOURCES
AND HANDOUTS |
|
Future Teacher Knowledge of Standards
(WHAT you’ll TEACH) ¼ |
Chapter 1 Teaching Mathematics in the Era
of the NCTM Standards |
* Initial Survey * Reading and Discussing the GLEs * Choose one of the Focal
Points for one grade level and then find it in the NH GLEs
(pdf) and in the NCTM
Standards (pdf). Email your comparison. * Quiz 1: Chapter 1 *Scavenger Hunt |
·
The
Focal
Points focus on the most important mathematics in Pre-K-8. ·
The
New Hampshire Standards are online: GLEs ·
The
National Council of Teachers of Mathematics Principles and Standards for
School Mathematics online: Standards |
|
Current Learner (HOW it feels like to
KNOW* and DO mathematics – relating to your future students) Future Teacher (HOW students LEARN
mathematics) ¼ |
Chapter 2 Exploring What It Means to Know
and Do Mathematics |
*8s Problem *Fay’s Nines * Quiz 2: “Doing
Mathematics” article and “What does
it Mean to ‘Do Math’ In Today’s Classroom” article. * Quiz 3: Chapter 2 Part 1 pgs 13-19 *Quiz 4: Chapter 2 Part 2 pgs 20-29 |
·
Doing
Mathematics Article: http://www.maa.org/devlin/devlin_04_05.html ·
Article:
What Does It
Mean to “Do Math” in Today’s Classroom? ·
Practicum Observations |
|
Future Teacher (HOW to TEACH through
problem solving) ¼ |
Chapter 3 Teaching Through Problem Solving |
*Watch Video (DMI Building a System of Tens
Session 4) *Counting Lessons * Quiz 5: Chapter 3 * Quiz 6: Counting Problems |
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Future Teacher (HOW to PLAN) ¼ |
Chapter 4 Planning in the Problem-Based
Classroom |
*Fixed Area Lesson * Quiz 7: Chapter 4 |
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Current Learner AND Future Teacher (USING TECHNOLOGY in the math
classroom) ¼ |
Chapter 7 Using Technology to Teach
Mathematics |
* TI-15 Calculator Game * Quiz 8: Chapter 7 |
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Future Teacher (TEACH a 10-minute lesson) ¼ |
Chapter 4 Planning in the Problem-Based
Classroom |
*10-Minute Presentation Lesson
Reflection (due the class after you present) |
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Future Teacher (HOW to ASSESS) ¼ |
Chapter 5 Building Assessment into
Instruction |
*Error Patterns *Video * Quiz 9: Chapter 5 |
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Future Teacher (TEACHING ALL students) |
Chapter 6 Teaching Mathematics Equitably to
All Children |
*Equity Debate * Quiz 10: Chapter 6 |
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*Five
strands of mathematical proficiency:
— conceptual understanding
— procedural fluency
— strategic competence
— productive disposition
— adaptive reasoning
Updated
11/17/09