Curriculum Internationalization and the Future of Education
This chapter focuses on the redesign of a traditional History of Mathematics course as an interna... more This chapter focuses on the redesign of a traditional History of Mathematics course as an internationalized course and its early implementation. This redesign of the course incorporates significant learning experiences and includes the learning goals of both the college and the discipline. The design of these learning experiences using the backwards design model, the framework based on a blended taxonomy of Bloom and Fink, are elaborated on. How these learning experiences are supported by active learning strategies and forward assessments is also presented. The pilot implementation by an author not involved in the design process provides for an objective perspective of this redesign. The chapter elaborates on the learning experiences within the initial implementation and concludes with ideas for future iterations of the course.
In this chapter, a flipped model is implemented in an undergraduate mathematics course. There is ... more In this chapter, a flipped model is implemented in an undergraduate mathematics course. There is a need to enhance learning experiences in STEM disciplines and college mathematics courses. The authors seek to redefine the traditional relationship of instructor as the active conveyor of knowledge and the student as the passive receiver of knowledge. They discuss their efforts to plan and prepare for the course and their experiences with its implementation. The authors started with what they wanted their students to learn in the course. Prior to coming to class, students watched video lectures and completed pre-work assignments. In class, the authors incorporated group-work through peer-instruction and lab activities, and the use of a classroom response system. They present the results of their data collection, feedback from student response surveys. Among other results, the students realized the value of preparation and took an active role in the formation of their own learning exper...
Advances in Educational Technologies and Instructional Design, 2015
This qualitative pilot study investigated how 19 students enrolled in an entry-level college writ... more This qualitative pilot study investigated how 19 students enrolled in an entry-level college writing course responded to the use of video technology to supplement and flip class curriculum. Students were provided 10 video podcasts to augment course content and flip four class lessons. Collected through six student surveys and video download data, the results, including students' podcast viewership behaviors and attitudes toward the videos, are presented. The data revealed the college writing students involved in this study were generally satisfied with the flipped classroom and preferred it over the traditional lecture format. Download patterns indicated, however, less than half of the students watched the podcasts. Despite low viewership, the results suggest that the incorporation of video technology brings writing teachers opportunities to optimize class time by delving deeper into course content and by expanding the number of course assignments.
The image system for the method of regularized Stokeslets is developed and implemented. The metho... more The image system for the method of regularized Stokeslets is developed and implemented. The method uses smooth localized functions to approximate a delta distribution in the derivation of the fluid flow due to a concentrated force. In order to satisfy zero-flow boundary conditions at a plane wall, the method of images derived for a standard (singular) Stokeslet is extended to give exact cancellation of the regularized flow at the wall. As the regularization parameter vanishes, the expressions reduce to the known images for singular Stokeslets. The advantage of the regularized method is that it gives bounded velocity fields even for isolated forces or for distributions of forces along curves. These are useful in the simulation of ciliary beats, flagellar motion, and particle suspensions. The expression relating force and velocity can be inverted to find the forces that generate a given velocity boundary condition. The latter is exemplified by modeling a cilium as a filament moving in a three-dimensional flow. The cilium velocity at various times is constructed from known data and used to determine the force field along the filament. Those forces can then reproduce the flow everywhere. The validity of the method is evaluated by computing the drag on a sphere moving near a wall. Comparisons with known expressions for the drag show that the method gives accurate results for spheres even within a distance from the wall equal to the surface discretization size.
Curriculum Internationalization and the Future of Education
This chapter focuses on the redesign of a traditional History of Mathematics course as an interna... more This chapter focuses on the redesign of a traditional History of Mathematics course as an internationalized course and its early implementation. This redesign of the course incorporates significant learning experiences and includes the learning goals of both the college and the discipline. The design of these learning experiences using the backwards design model, the framework based on a blended taxonomy of Bloom and Fink, are elaborated on. How these learning experiences are supported by active learning strategies and forward assessments is also presented. The pilot implementation by an author not involved in the design process provides for an objective perspective of this redesign. The chapter elaborates on the learning experiences within the initial implementation and concludes with ideas for future iterations of the course.
In this chapter, a flipped model is implemented in an undergraduate mathematics course. There is ... more In this chapter, a flipped model is implemented in an undergraduate mathematics course. There is a need to enhance learning experiences in STEM disciplines and college mathematics courses. The authors seek to redefine the traditional relationship of instructor as the active conveyor of knowledge and the student as the passive receiver of knowledge. They discuss their efforts to plan and prepare for the course and their experiences with its implementation. The authors started with what they wanted their students to learn in the course. Prior to coming to class, students watched video lectures and completed pre-work assignments. In class, the authors incorporated group-work through peer-instruction and lab activities, and the use of a classroom response system. They present the results of their data collection, feedback from student response surveys. Among other results, the students realized the value of preparation and took an active role in the formation of their own learning exper...
Advances in Educational Technologies and Instructional Design, 2015
This qualitative pilot study investigated how 19 students enrolled in an entry-level college writ... more This qualitative pilot study investigated how 19 students enrolled in an entry-level college writing course responded to the use of video technology to supplement and flip class curriculum. Students were provided 10 video podcasts to augment course content and flip four class lessons. Collected through six student surveys and video download data, the results, including students' podcast viewership behaviors and attitudes toward the videos, are presented. The data revealed the college writing students involved in this study were generally satisfied with the flipped classroom and preferred it over the traditional lecture format. Download patterns indicated, however, less than half of the students watched the podcasts. Despite low viewership, the results suggest that the incorporation of video technology brings writing teachers opportunities to optimize class time by delving deeper into course content and by expanding the number of course assignments.
The image system for the method of regularized Stokeslets is developed and implemented. The metho... more The image system for the method of regularized Stokeslets is developed and implemented. The method uses smooth localized functions to approximate a delta distribution in the derivation of the fluid flow due to a concentrated force. In order to satisfy zero-flow boundary conditions at a plane wall, the method of images derived for a standard (singular) Stokeslet is extended to give exact cancellation of the regularized flow at the wall. As the regularization parameter vanishes, the expressions reduce to the known images for singular Stokeslets. The advantage of the regularized method is that it gives bounded velocity fields even for isolated forces or for distributions of forces along curves. These are useful in the simulation of ciliary beats, flagellar motion, and particle suspensions. The expression relating force and velocity can be inverted to find the forces that generate a given velocity boundary condition. The latter is exemplified by modeling a cilium as a filament moving in a three-dimensional flow. The cilium velocity at various times is constructed from known data and used to determine the force field along the filament. Those forces can then reproduce the flow everywhere. The validity of the method is evaluated by computing the drag on a sphere moving near a wall. Comparisons with known expressions for the drag show that the method gives accurate results for spheres even within a distance from the wall equal to the surface discretization size.
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