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calculus

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MAA MATHFEST 2015Themed Contributed Paper SessionsTCPS#20: Evidence Based Approaches to theMathematical Preparation of Secondary TeachersWednesday afternoonThe mathematical preparation of secondary teachershas received substantial attention by mathematicians andmathematics teacher educators for many years, but how douniversity instructors and program coordinators know theirefforts are making a difference? While the program evaluationprocess, which can include accreditation reports (e.g., CAEP)and teacher candidate surveys, encourages faculty to seriouslyconsider this question, it is tempting to focus program evaluationon outcomes such as: graduation rates, teacher placement rates,and scores on teacher licensure exams or performance-basedteacher assessments (e.g., edTPA). In this session, we invitemathematics content and methods instructors and programcoordinators to share ways they gather and analyze datafor the purpose of making decisions about their programs.Presentations should focus on one or two program goals directlylinked to the mathematical preparation of secondary teachers.Examples include: How do you know that teachers can promotemathematical thinking and learning in ways consistent withthe Common Core Standards for Mathematics (NGA Center& CCSSO, 2010)? How is your program addressing therecommendations in the Mathematical Education of TeachersII document (CBMS, 2012)? How does your program workwith mentor teachers to develop candidates’ use of formativeassessment?Laurie O. Cavey, Boise State UniversityScott A. Courtney, Kent State UniversityTCPS#21: Show Me Geometry: GeometrySoftware and Tablet DemonstrationsWednesday afternoonThis session invites presenters to share demonstrations, usinggeometry software or tablet applications, which help studentsto understand aspects of undergraduate geometry. Thesedemonstrations should be suitable for Euclidean and non-Euclidean geometry courses as well as for courses frequentlyreferred to as “modern” or “higher” geometry but not thoserelated to differential geometry or (low-level) graduate courses.Presenters must perform the full demonstration (or a key portionof it) and discuss the aspects of the demonstration that helpstudents to understand an associated theorem. Informationregarding prerequisite topics and related areas with whichstudents have difficulty should be discussed as should problems,if any, experienced in using the software or tablet application.Presenters are invited to discuss how they have modified thedemonstration over time as well as to share information aboutsoftware or tablet explorations performed with students that havehelped students understand the associated theorem. Abstractsshould include the name of the software or application, theplatform (computer or tablet), and the associated theorem aswell as a brief description of the demonstration. Presenters mustprovide their own laptop or tablet.Sarah L. Mabrouk, Framingham State University#MAAthFestWashington, DC | August 5–8, 2015 25

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