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.
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| Required Readings |
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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/
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Focus Standards and Student Assignments
| Standards | Student 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)
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| 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)
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| 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
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| 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
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| 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
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| 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
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| 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.
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