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UT Arlington MATH 5378 - Math 5378 Syllabus

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Math 5378, Summer I 2009:Concepts of Geometry in K–8 Mathematicsselected days and times, Carter Junior High, AISDInstructor: Dr. Christopher Kribs ZaletaOffice: 483 Pickard HallPhone: (817)272-5513, fax 272-5802email: [email protected]: http://mathed.uta.eduOffice Hours: Wednesdays 11 AM–12 noon and by appointmentPrerequisites: graduate standing and consent of instructorText materials: DMI’s Examining Features of Shape casebook (henceforth EFS).Additional materials will be provided in class or on the course web page.Course home page: day for withdrawal: June 21Class policy on drops, withdrawals, academic honesty, and accommodating disabilities followsthe University policy on these matters. Copies can be obtained upon request.LEARNING OUTCOMES: After completing this course, students should be able to:• identify and use appropriate representations of geometric ideas in teaching situations, includingconceptual, contextual, concrete, pictorial, and symbolic models• analyze student thinking involving geometric ideas• design and implement research-based lessons to teach geometry concepts, including the de-velopment, selection and sequencing of problems• identify and use different geometric representations, as well as examples and counterexamples,to make definitions of terms in geometry• recognize and apply geometric notions of comparison, including congruence, similarity, sym-metry, scaling, and transformations such as translation, rotation, and reflection• recognize and apply different meanings of angle• construct and analyze different two-dimensional representations (such as nets, cross sections,and projections) of three-dimensional objects, and distinguish their propertiesFORMAT: This course will study geometry concepts in several ways: through work on challengingmathematical problems to develop our own geometrical abilities (and communicating the results,to develop our expository abilities); discussing what research has discovered about the learning ofgeometry concepts at the K–8 levels; and examining specific instances of K–8 students’ geometricalwork, through both case studies and our own classroom practice.Before class each week you will read articles and/or case studies from K–8 mathematics, andmake notes on them in preparation for class discussions. You will also often work on mathematicsproblems outside of class, to facilitate their discussion in class. We will typically begin class byworking on new mathematics problems and discussing their solutions, in both small and largegroups. We will follow this up by discussing the assigned readings, as well as other related topics.We will typically end class with time for reflection on how the topics we have discussed apply toour own classrooms.During class discussions we will often refer back to work we have done earlier in the course, soplease bring your notes and papers from previous sessions to class.MATH 5378 — Page 1POLICIES:• Students who are not classroom teachers will need to make arrangements to interact withK–8 students for many of the assignments (those starred * on the calendar).• Students are expected to be on time, prepared and ready to work every week. This classmeets 5:00–8:00 PM on 5/26, 5/28, 6/02 and 6/08, and 3:30–6:30 PM Mon-Thu for the rest ofJune. Each student is allowed the equivalent of one week’s absence (3 total hours) for whateverreason without penalty. All subsequent absences (including arriving significantly late) will resultin the reduction of the final course grade by one-half letter grade (5%) for each absence. See DMIhandout for policy on making up work from a missed class.• With the exception of examples of student work, written assignments are expected to betyped and use correct grammar and punctuation. (Diagrams, equations, etc. may of course behand-drawn.)• Each student is allowed one late submission during the semester. The paper must be submittedbefore the beginning of the class period following that in which it was due. Papers not submittedby the end of class time on the due date are considered late. Submission of a late paper constitutesthe student’s agreement that this is the one allowed late assignment.• Each student is allowed one electronic submission during the semester. Electronic submissionsmust be complete and not missing any ancillary materials such as student work necessary forgrading. (If the electronic submission is made late, then it is both the only late paper allowed andthe only electronic submission allowed.) This does not include drafts sent for consultation prior tosubmission, but consultation must take place in person or via telephone.• Each student is allowed to submit one revised paper for a regrade, under the following terms:The revised paper and the graded original must be turned in together at the penultimate class meet-ing. The new grade replaces the original. Students are encouraged to consult with the instructorprior to submitting a revised paper.GRADES: Your grade for the course will be determined by five elements, each of which has equalweight: (1) journal entries and participation, (2) a written student interview, (3) a short case study,(4) a paper detailing your own mathematical work, and (5) a lesson involving a problem you selectto develop geometrical concepts in your students. All of these are detailed in the next section.Note on study time: Summer courses take a sixteen-week semester and compress it into fiveweeks. That’s a compression factor of more than three! Not only does this time compression leavestudents less time to “unpack” and reflect between class meetings, but it also means that in orderto engage fully in the course, one has to spend more than five times as many hours per day outsideof class on coursework than would be true during a long semester. In particular, instead of theusual rule of thumb of six hours per week outside of class for every three hours per week spent inclass, the proportion becomes 18 hours per week out of class for 9 hours per week in class. This isequivalent to a half-time job. Please be careful to plan accordingly.Assignments1. JournalOn days in which there is not a major assignment due, you will write a short (about one page)reflection in response to a prompt given below. Many of the prompts are also given in the DMIhandouts distributed in class. Some involve “action research” reports in which you will write aboutyour

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