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Syllabus MAE 4330- Teaching Methods in Secondary School Mathematics Course Description: This course is designed for students who are majoring in secondary mathematics education and is offered concurrently with the practicum in teaching secondary mathematics. This course addresses the required instructional methods, techniques, strategies, resources, and assessment considerations for effective teaching of secondary mathematics including the pedagogy of early algebra, geometry, trigonometry and calculus using problems solving, cooperative learning and appropriate technology. This course addresses specific Sunshine State Standards, subject matter competencies and pedagogy pertinent to the discipline and required for certification. Suggested Textbook: Teaching Secondary and Middle School Mathematics, Daniel J. Brahier, 2nd Edition, Allyn and Bacon, 2005. GRADING SCALE: A - 93 - 100 B - 83 - 92 C - 70 - 82 D - 60 - 69 F - Below 60 Methods of instruction : Lecture, Class discussions and/or interactions, Large and/or small group projects, activities, discussions, etc., read and report on professional education and subject matter articles, research, and other materials, oral presentations, clinical experiences and reflective papers, field journals, and discussions about them, portfolios, videotaping of student teaching a lesson with feedback from instructor and students, use of manipulatives to illustrate concepts, and concept mapping. Course Outline: I. WHAT DOES IT MEAN TO “DO,” “TEACH,” AND “LEARN” MATHEMATICS? 1. Mathematics as a Process. National and International Assessment Data. The Need for Reform. “Doing” Mathematics. 2. Learning Theories and Psychology in Mathematics Education. Research in Mathematics Education. Learning Theories in Mathematics. Assignment 1: Library visit for instruction on how to find and use reference materials II. THE MATHEMATICS CURRICULUM. 3. Curricular Models. NCTM Curriculum Standards. State Models – Florida Sunshine State Standards. The Core Curriculum. Traditional versus Integrated Sequences. 4. Implementing a Course of Study. The Course of Study. Writing Goals and Objectives Selection and Organization of Resources. 1 III. TEACHING MATHEMATICS. 5. Planning for Instruction with the Sunshine State Standards (Focal Points) Unit Planning. Lesson Planning. Lesson Imaging versus Lesson Planning. Reflecting on a Lesson. Test 1 6. Responsibilities of the Professional Teacher. Teaching Standards and Guiding Principles. Selecting Activities and Problems. Classroom Tools. Classroom Discourse. Learning Environment. Reflective Practices. 7. Teaching Specific Mathematics Content Teaching with the SSS Standards for Number Sense, Concepts and Operations –teaching – Assignment 3 Teaching with the SSS Standards for Measurement –teaching – Assignment 4 Teaching with the SSS Standards for Algebraic Thinking –teaching - – Assignment 5 Teaching with the SSS Standards for Geometry and Spatial Reasoning - teaching - Assignment 6 Teaching with the SSS Standards for Data Analysis and Probability –teaching – Assignment 7 (teaching a class in MAE 4330) IV. MEETING INDIVIDUAL STUDENT AND TEACHER NEEDS 8. Meeting the Need of All Students Defining and Achieving Equity General Suggestions for Meeting Diverse Student Needs. 9. The Teacher of Mathematics in the School Community Working with Parents The Supervision and Evaluation of Teachers Functioning in a Department 2 A. Tasks 1. Task CC3B (FEAP 3.01, 3.09, 3.10, 3.11): Each student must show evidence of professional growth during this course. This evidence may be acquired by (1) attending a math/science seminar, like FCTM Conference or (2) reading articles from a professional journal in mathematics education or (3) recording ideas from veteran teachers. Each student will submit a minimum of six presentation or article summaries, handouts or worksheets included, and a reflection. The reflection should include your opinion regarding (1) the feasibility of implementation (if appropriate), (2) its effectiveness, (3) whether you plan to use it in the future, and (4) any modifications you might want to make (2X middle, secondary) (Complete by October 23) 2. Task CC10A (FEAP 10.08. 10.16, 11.04): The file will provide a list of some community resources such as parks, labs, industries; journals; and websites, to supplement lesson plans and provide students with a variety of experiences (appropriate for secondary (9 – 12)). (Completed by November 4th) 3. Task 4.1_2.1 (FEAP 4.01, 4.02, 4.06, 4.07, 4.09): The teacher develops a lesson or lessons on facilitating students' use of critical and creative thinking skills. The lesson includes objectives and a set of questions classified according to Bloom’s Taxonomy of Cognitive Skills and must address appropriate Sunshine State Standards. The teacher delivers the lesson and analyzes the results. The product consists of the lesson plan(s), the analysis, the assessment instrument, and two samples of student work (one in which the student performed as expected and one in which he/she did not). (Complete by November 18) 4. Task CC8B (FEAP 8.02, 8.04): The candidate completes a series of performance tasks that require specific content knowledge in the areas of algebra, geometry, measurement, data analysis and spatial reasoning. If the student has passed the subject area exam for his/her major, then this task has been completed. A copy of the score report should be placed in the student’s portfolio. (Complete by December 3rd) Grading Criteria: Test 1 - - - 10% SSS Lesson on Number Operations – 6% SSS Lesson on Measurement – 6% SSS Lesson on Algebraic Thinking – 6% - Powerpoint SSS Lesson on Geometry and Spatial Reasoning – 6% SSS Lesson on Data Analysis and Probability – 6% Portfolio and Tasks– 50%* Participation and attendance – 10% *The task/artifact will be considered “demonstrated” when minimum score of 70% is achieved AND the criteria established for the individual task is met. The task/artifact will be considered “partially demonstrated” or “not demonstrated” when the score is below 70% OR the criteria established for the individual task is not met. Without penalty a task judged as partially demonstrated or not demonstrated may be resubmitted. The resubmission must be made within one week, and a maximum of three tasks may be resubmitted. No grade will be given for the course until all tasks and artifacts have been successfully demonstrated. 3 Objective Math. as a Process Learning Theories and Psychology in Mathematics Edu. Curricular Models Nat’l Council of Teachers of Math (NCTM) Sunshine State Standards(SSS) Florida Content Competencies Standards and Skills-Math and Profess-ional Education (PE) Florida Educator Accomplish ed Practices - FEAP Assessment Measures P.E.- 7.1, 7.2, 7.4,13.1,13.2 All Standards Implementing a Course of Study Planning for Instruction Teaching Tools and Strategies Teaching Specific Mathematics Content in Number Sense SSS Strand A Teaching Specific Mathematics Content in Measurement Teaching Specific Mathematics Content in Algebraic Thinking Teaching Specific Mathematics Content in Geometry and Spatial Sense Teaching Specific Mathematics Content in Data Analysis and Probability Meeting the Needs of All Students The Teacher of Mathematics in the School Community SSS Strand B SSS Strand D SSS Strand D SSS Strand E P.E.-12.1, 12.2, 12.3,12.4 P.E. – 8.2, 8.3 P.E.- 8.2, 10.1, 10.2, 10.3 P.E.- 2.1, 2.2, 2.3,2.4,9.1,9.2,9. 3– S.C.– 15.2 P.E.- 2.1, 2.2, 4.1,10.1, 10.2, 10.3 – Math - 14 10.6 8.1 CC 8 B 1.2.2, 1.3.2, 1.3.3, 1.2.2, 1.3.2, 1.3.3, 7.7, 4.1,4.2,4.3, 4.9 8.1, 4.1, 4.2, 4.4, Task 4.4.1 P.E.- 2.1, 2.2, 4.1,10.1, 10.2, 10.3 – Math – 7, 8 P.E.- 2.1, 2.2, 4.1,10.1, 10.2, 10.3 – Math. – 5,6, P.E.- 2.1, 2.2, 4.1,10.1, 10.2, 10.3 – Math – 7, 8 1.2.2, 1.3.2, 1.3.3, 8.1, 9.1, 9.2, 9.7, 9.9, 9.11 Assignment 4 – Task CC8C 1.2.2, 1.3.2, 1.3.3, 8.1, 9.1, 9.2, 9.7, 9.9, 9.11 Assignment 5 – Task CC8C 1.2.2, 1.3.2, 1.3.3, 8.1, 9.1, 9.2, 9.7, 9.9, 9.11 Assignment 6 – Task CC8C P.E.- 2.1, 2.2, 4.1,10.1, 10.2, 10.3 – Math – 10,11, 1.2.2, 1.3.2, 1.3.3, 8.1, 9.1, 9.2, 9.7, 9.9, 9.11 Assignment 7, Task CC8C, 5.3 Task 5.4.2 P.E.-5.1, 5.2, 7.1, 14.1,14.2 P.E.-2.3, 2.4, 3.1, 3.2, 6.1, 6.2, 11.1, 11.2, 11.3,11.4,11.5 Assignment 3 – Task 4.1_2.1 1.12, 2.10, 3.5, 6.7 4