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Syllabus

Teacher Education
07S:135  Methods: High School Mathematics
Fall, 2009
Instructors: Cos D. Fi
Emails: cos-fi@uiowa.edu
Course Web Site: https://icon.uiowa.edu/d2l/orgTools/ouHome/ouHome.asp?ou=509353
Course Description

Subject matter content, teaching and assessment techniques for grades 9-12 math; how students learn mathematics; mathematics curricular planning for all students. Prerequisite: 07S:095 or consent of instructor.

Required Readings

Required Readings/Tools/Membership

 

Buy: [1] National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. Reston, VA: Author. [Available from http://www.nctm.org/] 

 

[2] Mathematics curriculum materials [Available in the Curriculum Laboratory, N140 LC, (319) 335-5616, http://www.education.uiowa.edu/crl; and at your internship sites.

 

Download: [3] National Council of Teachers of Mathematics. (2006). Curriculum focal points for prekindergarten through grade8 mathematics: A quest for coherence. Reston, VA: Author. [Available from http://www.nctm.org/]

 

[4] Posamentier, A. S., Smith, B. S., and Stepelman, J. (2010). Teaching secondary mathematics: Techniques and enrichment units. Boston, MA: Pearson.

 

[5] Lamon, S. J. (2005). Teaching fractions and ratios for understanding. Mahwah, NJ: Lawrence Erlbaum Associates, Inc., Publishers.

 

Available online for free and for purchase (hardcopy or pdf): [6] Bransford, J. D., Brown, A. L., and Cocking, R. R.  (eds.) (2000). How people learn: Brain, mind, experience, and school (expanded edition). Washington, DC: National Academy Press. www.nap.edu

 

[7] Required Membership: Iowa Council of Teachers of Mathematics (ICTM) at http://www.iowamath.org

 

Student membership is $5.

 

[8] Additional readings will be made available via ICON.

 

[9] Iowa Core Curriculum http://www.corecurriculum.iowa.gov/


Focus Standards and Student Assignments

StandardsStudent Assignments
A: Student Learning

Paper: Review of the Literature:

How do people come to know? How do people learn?

Mechanics:

       Use APA style and format

       Minimally reflect discussions in class

       Incorporate your learning in Ed Psych course

       Spell and Grammar check

       Format

      Cover page

      Body – Narrative

      Reference page

Things (proper subset) to consider …

       What is learning?

       What is understanding?

       What is knowledge?

       What is knowing?

       What is memory (iconic, working, short-term, long-term, etc.)?

       What is transfer (near and far)?

       What are the different ways of thinking and conceiving of How People Come to Know (some examples, information processing, cognitive science, behaviorism, constructivism, situated cognition, socio-cultural perspective, connectionism, etc.)? 

Some (proper subset of) resources …

       Ed Psych books

       Your notes from your Ed Psych course

       Internet (E.g., http://tip.psychology.org/index.html)

       Online library searches

       Fish is Fish

       Bransford et al. (2000). How people learn

       Your resources (be careful of internet sources without corroboration)

C: Planning Instruction

Three Lesson Plans:

Lesson Study Approach (LSA) Lesson Planning Artifact:
[0]Demographics
[1] ICC Connections
[2] Curriculum Information
[3] Assessment of Student Learning
[4] Structure: Launch, Explore, Summarize [LES]
[5] Sequenced for facilitating students’ understanding

Detailed Notes about the Unpacking and Repacking Processes: [1] Mathematics (concepts, language, symbolization, representations, sequencing hence mathematical storyline, connections), [2] Teaching (pedagogical flow, tools and use of tools, questions and questioning, response and responding), [3] Learning (mathematical residues, problematization, engagement, problem solving strategies, questions and questioning, mathematical language, tools and use of tools)

D: Instructional Strategies

Lesson Enactment and Reflection on Lesson Enactment:

Lesson Enactment Video and your discussion of What went well, What could be changed, what could be discarded, etc. – That is, your lesson enactment and your reflection on what happened, how it happened, and the residues (mathematics, teaching, and learning)

[1] Completion of the lesson enactment

[2] Accuracy and appropriateness of mathematical language

[3] Depth of discussion and reflection

[4] Highlights formative and summative assessment practices

G: Assessment

Assessing Learning in each of the three lessons – Note that at least one of the three lessons should be planned with the aim of using it in your Microteaching

Identify/highlight your formative and summative assessment strategies/practices

H: Reflection and Professional Development

Review of PSSM, Curriculum Focal Points, ICC, and others:

 

Review Notes (Identifiers, Major points, personal impressions with respect to your prior schooling experiences) and Class Presentations

I: Collaboration, Ethics, and Relationships

Lesson Planning, Unpacking and Repacking Mathematics for Instruction:

LSA observation notes, comments from your peers/colleagues and Instructor and Your Reflection on what you learned from the observation notes and comments on your teaching

K: Subject Matter Knowledge

Unpacking and Repacking Mathematics for Instruction:

Scan and upload your resolutions of the Problems of the Day, and other mathematical tasks examined during the semester.

Or you can type your work, if you so desire.