SYLLABUSTopics in MathematicsSummer 2008Topics in Mathematics (Developing Thinking in Algebra) Semester Hours: 3SYLLABUSTopics in Mathematics(Developing Algebraic Thinking)(Directed Study)MAT 682Summer 2008Wayne State CollegePhysical Sciences and MathematicsMAT 682 Topics in Mathematics (Developing Algebraic Thinking) 2COURSE DESCRIPTIONMAT 682 Summer 2008Topics in Mathematics (Developing Thinking in Algebra) Semester Hours: 3Instructor: Jeffrey O. BauerOffice: Carhart Science 107Office Hours: Telephone: 402.375.7334Email: [email protected]: http://academic.wsc.edu/faculty/jebauer1/Description: The course is based on the current needs and wants of students in theprogram. It will provide the mathematical development necessary to support those needsand wants. Students may enroll in the course more than once as long as the topic to becovered is different each time.(Developing Thinking in Algebra) The course is designed to help mathematics teachers intheir teaching of secondary algebra. Emphasis will also be placed on learning theoriesassociated with algebra instruction, aligning the algebra curriculum with national, stateand local standards, and assessment. Prerequisite: Acceptance into the MSE in Mathematics program or permission.Class Meeting Time/Place: COURSE COMPETENCIES: The course will work toward all students reaching thefollowing outcomes:- Students inquire about relevant educational issues and support present practices orinitiate constructive changes.- Students reflect on relevant educational issues with breadth, depth and rigor ensuringimprovement and encouraging excellent implementation of professional practices.- Students implement responsible change in a supportive manner meeting the needs ofindividuals and communities and empowering them for continuous growth.- Students create, organize, maintain, and evaluate caring communities providingleadership and stewardship for educational endeavors.- Students communicate effectively providing leadership and stewardship foreducational communities.- Students possess and demonstrate the values, demeanor, and reflective decision-making of professionals.COURSE GOALS: It is the course’s intent:MAT 682 Topics in Mathematics (Developing Algebraic Thinking) 3- To have students recognize “major” learning theories and how they apply tomathematics.- To have students understand the historical development of algebra curriculi.- To know the structure of a typical U.S. algebra curriculum.- To provide students with a solid understanding of Jerome Bruner’s learning theoryand how it applies to mathematics.- To demonstrate to students the proper use of manipulatives and how their use isapplied to the study of algebra. - To have students understand the three “Habits of Mind”.- To have students understand and formulate open questions that foster algebraicthinking.- To develop the capacity in students, that as teachers, they will be able to help theirstudents to generalize so as to develop algebraic thinking.- To develop the capacity in students, that as teachers, they will be able to help theirstudents to recognize and make connections so as to develop algebraic thinking.- To develop in students the understanding, when as teachers, it is appropriate to havestudents engage in symbolic representation and algebraic manipulation.- To develop the capacity in students, that as teachers, they will be able to help theirstudents to understand, use, and link multiple representations.- To develop the capacity in students, that as teachers, they will be able to guide theirstudents in correct and appropriate use of technology. INSTRUCTIONAL MATERIALS:Required Text: Developing Thinking in Algebra. Mason, John, Graham, Alan, &Johnston-Wilder, Sue (2005). Thousand Oaks, CA: The Open University in associationwith Paul Chapman Publishing. (ISBN: 1-4129-1171-0)References: Curriculum Update, ASCD publication.Educational Leadership, ASCD publication.Teaching Children Mathematics, NCTM publication.Mathematics Teacher, NCTM publication.Journal of Research in Mathematics Education, NCTM publication.Bednarz, Nadine, Kieran, Carolyn, & Lee, Lesley (1996). Approaches to Algebra:Perspectives for Research and Teaching. Boston, MASS: Kluwer Academic Publishers.(ISBN: 0-7923-4168-6)Brahier, D.J. (2000). Teaching Secondary and Middle School Mathematics.Boston, MASS: Allyn and Bacon. (ISBN: 0-205-28614-3)MAT 682 Topics in Mathematics (Developing Algebraic Thinking) 4Brooks, J.G. & Brooks M.G. (1993). In Search of Understanding: The Case forConstructivist Classrooms. Alexandria, VA: Association for Supervision and CurriculumDevelopment. (ISBN: 0-87120-358-8)Carr J. F. & Harris D.E. (2001). Succeeding with Standards: Linking Curriculum,Assessment, and Action Planning. Alexandria, VA: ASCD. (ISBN: 0-87120-509-02)Cooney, T.J., Brown, S.I., Dossey, J.A., Schrage, G. & Wittmann, E.C. (1996).Mathematics, Pedagogy, and Secondary Teacher Education. Portsmouth, NH:Heinemann. (ISBN: 0-325-00115-4)Coxford, A.F., Fey, J.T., … (2003). Contemporary Mathematics in Context: AUnified Approach, Course 3, Part A. New York, NY: Glencoe McGraw-Hill. (ISBN: 0-07-827545-8)Doll, R.C. (1986). Curriculum Improvement: Decision Making and Process.Boston, MASS: Allyn & Bacon. (ISBN: 0-205-08500-8)Driscoll, Mark (1999). Fostering Algebraic Thinking: A Guide for TeachersGrades 6-10. Portsmouth, NH: Heinemann. (ISBN: 0-325-00154-5).Hiebert, J, Carpenter, T.P., ... (1997). Making Sense: Teaching and LearningMathematics with Understanding. Portsmouth, NH: Heinemann. (ISBN: 0-453-07132-7)Ho, O. (2001). Amazing Math Magic. New York, NY: Sterling Publishing Co.,Inc. (ISBN: 0-8069-7413-3)Huetinck, L. & Munshin, S.N. (2004). Teaching Mathematics for the 21stCentury: Methods and Activities for Grades 6-12. Upper Saddle, NJ: Pearson Education,Inc. (ISBN: 0-13-048833-x)Kendall, J.S. & Marzano R.J. (1996). Content Knowledge: A Compendium ofStandards and Benchmarks for K-12 Education. Aurora, CO: Mid-Continent RegionalEducation Laboratory. (ASCD Stock no: 396233)Kindred, L.W., Wolotkiewicz, R.J., Mickelson, J.M., & Coplein, L.E. (1981). TheMiddle School Curriculum: A Practitioner’s Handbook, 2E. Boston, MASS: Allyn &Bacon. (ISBN: 0-205-06993-2)Krulik, S., Rudnick, J.A., & Milou, E. (2003). Teaching