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| August 28 |
| I. | The Nature Of Mathematics, Teaching, Learning, Mathematics Education: Personal Beliefs and Historical Perspectives |
| Quotation Query, Essence of Mathematics, Description of C&I 430 Goals, Initiating Community, Student-Selected Issues and Trends of Interest, Class Journaling, Syllabus, Multiple Perspectives, Proposal Review Rubric, Reflection. |
| Assignment: Write paper (1 page) on and create or find representation of essence of mathematics; Survey read Kilpatrick framework (pages 3-7 only), read Silver, Lakatos, and a related historical perspective (from Kilpatrick citation) and a related current perspective. (Current literature includes articles from the 1990's to the present that are on the Internet or in print.) |
| September 4 |
| II. | The Nature of Mathematics |
| Fallacy, Essence of Discussion related to Readings, Community Reading of Lakatos' Proofs and Refutations., Proposal Review, Reflection |
| Assignment: Create written expression of multiple perspectives of essence of mathematics (1-2 pages). Read Dossey, Cooney, and related historical AND current perspectives. Begin studying or reviewing NCTM Principles and Standards and Illinois standards for learning and teaching (available on Internet) for discussion on October 14. |
| September 11 |
| III. | The Philosophy of Mathematics and Mathematics Education |
| Problem Solving, Discussion related to Readings |
| Assignment: Initiate writing of Midterm synopsis - for review on 18th. Read Halmos, Burton, Steiner, Lerman, and related historical AND current perspectives. |
| September 18 |
| IV. | The Psychology of Mathematics Education |
| Discussion Representations of Mathematics, Discussion related to Readings, Review Synopses, Responses to Psychological Approaches |
| Assignment: Survey read Kilpatrick framework pages 7-11, Read Steffe, Dengate & Lerman, and related historical AND current perspectives; Prepare for a conference among authors from long ago by researching a specific author and the context of his/her times, and his/her perspectives. Prepare a 5-minute first-person author presentation for the conference. |
| September 25 |
| IV. | The Psychology of Mathematics Education (continued) |
| Presentations and dialogue among historic authors, Discussion related to Readings |
| Assignment: Survey read Kilpatrick framework pages 11-13, Read Noddings and other related historical AND current perspectives, Prepare for a conference among current authors by researching a specific author and related contexts and his/her perspectives. Prepare a 5-minute first person author presentation for the conference |
| October 2 |
| V. | The Profession of Mathematics Education |
| Discussion related to readings |
| Assignment: Survey read Kilpatrick framework pages 14-17, Read Thom, Wu, Kilpatrick and other related historical AND current perspectives. Write Trend paper (2-4 pages) that combines the historiic and current perspectives on a single issue. |
| October 9 |
| VI. | Assessment in Mathematics Education |
| Discussion related to readings |
| Assignment: Read related historical AND a current perspective that relates to SIMSS or TIMSS or national testing or national curriculum. Complete review of Standards. Complete Midterm Synopsis of Readings. |
| October 16 |
| VI. | Assessment in Mathematics Education (continued) |
| Discussion related to NCTM Standards, IL learning and teaching standards, and readings. Discussion of different types of assessment/evaluation. Debates: National Curriculum vs Locally Controlled Curriculum and National Testing vs. no national testing (in the USA and other countries). |
| Assignment: Write a position paper (2-4 pages) in response to a question provided. Survey read Kilpatrick framework pages 17-23, Read Moses et al., Bauersfeld, and other related historical AND current perspectives |
| October 23 |
| VII. | Socialization of Mathematics Education |
| Discussion related to readings, Discussion of writing of literature review, Sharing of Special interest paper contexts - question/answer period |
| Assignment: Survey read Kilpatrick framework pages 23-31, Read Gough, Sykes, Wilson et al., Acquarelli & Mumme, and other related historical AND current perspectives. Review at least one current mathematics textbook and analyze in terms of multiple perspectives related to one of our categories I - VIII. |
| October 30 |
| VIII. | Mathematics Education Community |
| Discussion related to readings and textbooks, Sharing of Special interest paper contexts - question/answer period. |
| Assignment: Read Smith, Battista, O'Brien, Bishop, Cossey, Schoen et al., Reys et al., and historical and current perspectives on technology in education. Prepare outline of Special interest paper/literature review. |
| November 6 |
| IX. | Special Topics |
| Concept Map, Discussion related to readings and textbooks, Sharing of Special Interest paper contexts - question/answer period |
| Assignment: Read 5 Internet selections from the Arvold library. Prepare first draft of Special interest paper/literature review. |
| November 13 |
| IX. | Special Topics (continued) |
| Concept Map, Discussion related to readings and textbooks, Sharing of Special Interest paper contexts - question/answer period, Peer review of first drafts |
| Assignment: Read Lester et al. and 2 articles that support your special interest paper/literature review. Prepare second draft of Special interest paper/literature review. |
| November 20 |
| X. | Mathematics Education Research |
| Discussion related to readings and textbooks, Sharing of Special interest paper contexts and question/answer period, peer review of second drafts |
| Assignment: Complete final synopsis of readings. Prepare final Special interest paper/literature review (DUE December 4). |
| December 4 |
| Writing of PME-NA proposals, Dress rehearsal of A Meeting of Mathematical Minds, Working Session on Poster Presentations |
| Assignment: Prepare quality question for final examination - should elicit multiple perspectives on an issue or trend (DUE December 11), Make last minute preparations for presentations. |
| Percent | Descriptor | ||||||||||||||||||
| 5 | Growth as a scholar and community member (subjective determination) | ||||||||||||||||||
| 5 | Class Log | ||||||||||||||||||
| 5 | Journal Entries | ||||||||||||||||||
| 5 | AERA proposal review | ||||||||||||||||||
| 5 | Documentation of readings
something old (see Kilpatrick citations in appropriate areas I - X); something new (see 1990-present publications such as MT, JRME) something classic (course packet) just for you. [Weekly electronic submission of selected old and new outside readings - i.e. complete references in APA 5th edition format. Read only 5-10 pages each. The smae author can be chosen for up to and including 3 readings.] | ||||||||||||||||||
| 10 | Discussion Participation (equitable contributions by class members) | ||||||||||||||||||
| 65 | Papers/Projects (All written work to be submitted in both hard copy and electronic
formats using Microsoft Word in APA 5th ed. and easily readable format (i.e.
double spaced, margins >=1 ", font >= 12 point etc.)
|