relativelyconstant; however, profound changes were made across all sections in terms of pedagogy,homework, timing of course content, grade computation and exam content. The motivation for focusing on Calculus I arose from a five-year National Science FoundationScience Talent Expansion Program grant that was awarded in 2010 to a multi-disciplinary teamthat spanned engineering, mathematics and science. A major grant objective was to raise first-semester, full-time retention of students in STEM majors. The projects supported several year-long faculty learning communities (FLCs) of about 10 instructors each. With significantinvolvement from mathematics faculty, the first two FLCs prepared the ground for pedagogicalreform of calculus. In 2013-14, a final FLC
andgraphical work done mostly in MATLAB. Primary course topics covered in this survey courseinclude: (1) vector integral Calculus, (2) an introduction to Fourier series, (3) an introduction topartial differential equations (PDEs), (4) an introduction to complex analysis, and (5) conformalmapping and applications. Also, examples of student project work are shown. Lastly, usefulstudent feedback and lessons learned is shared that others involved in engineering mathematicsinstruction may find useful or be able to relate to.Keywords: Vector integral Calculus, Fourier series, partial differential equations, complexanalysis, conformal mapping, engineering mathematics education1. IntroductionDue to increasing undergraduate enrollments in both electrical and
Paper ID #13123Using Khan Academy to support students’ mathematical skill developmentin a physics courseDr. Christine Lindstrøm, Oslo and Akershus University College Christine Lindstrøm works as an Associate Professor of Science in the Faculty of Teacher Education at Oslo and Akershus University College in Oslo, Norway, where she teaches physics and science education to pre-service science teachers. She undertook her tertiary studies at the University of Sydney, Australia, from which she has a Bachelor of Science (Honours), Master of Education and PhD in Physics. Christine’s PhD project was in Physics Education Research
. Garzolini, Boise State University Judith (Jude) Garzolini is the National Science Foundation (NSF) Grant Project Manager for the Idaho STEP grant at Boise State University. She is responsible for managing the $1 Million grant to plan and implement activities focused on increasing the throughput of graduates in Science, Engineering, and Mathematics. During her over 23-year career in industry she worked for Hewlett-Packard Company where she contributed as both an R&D project manager and program manager in the disk drive and printing supplies businesses. Jude received a B.S. in Chemical Engineering from Wayne State University and a Master of Business Administration from the University of California, Davis. She was
statisticallysignificant. A primary goal for the next iteration will be to show a significant improvement inperformance in the Calculus 1 course, mainly by identifying fundamental topics necessary forstudent success in Calculus 1 at our university, a secondary goal of the research project is toidentify possible causes for the low performance of students who do not complete the summerprogram, with the long term aim of improving the chance of students to successfully completethe initiative and Calculus 1. In the first cohort we identified full time summer employmentcommitments as a common feature for 4 of 5 students who did not complete the courseobjectives.Emporium ModelThe mathematics course is a specialized course combining material from the College Algebra
is currently pursuing a PhD in Engineering Education at USU. She is Principal Investigator for Online Learning Forums for Improved Engineering Student Outcomes in Calculus, a research project funded by the NSF TUES program. Her research interests include engineering student learning, distance engineering education, and alternative pathways to engineering education.Mr. Ted Campbell, Utah State University Ted Campbell is a Lecturer in the Department of Mathematics and Statistics at Utah State University (USU). He teaches undergraduate mathematics and statistics courses via synchronous broadcast to stu- dents at the USU regional campuses. Ted has a bachelor’s degree in materials engineering from the University of
low cost and reliable so schools can afford to buy and repair.However, it soon became clear that the robot also should be precise, and accurate, for it to beuseful as an educational platform to teach mathematics.The motivation for undertaking this paper’s research project thus stemmed from the desire toenhance high school students’ retention and interest in Mathematics. Such qualities wouldsignificantly improve their performance in STEM (Science, Technology, Engineering, andMathematics) career fields and education in general. Our exploration showed that much researchhas already been performed by other researchers to facilitate high schools in fostering STEMinterest with robots 6 -10. However, such robots have tended to be expensive (~$300) by
. Pedagogicallymotivated design would have integrated mathematics with applications subjects to partlyout-design motivation and contextualization problems.Much of the research in mathematics in engineering education takes for granted the traditionaldesign of engineering education with mathematics courses in the first year. The aim of theresearch is then to alleviate learning problems created by the traditional design itself and thealienation of mathematics from the application fields. There is a substantial difference betweenteaching mathematics to future mathematicians and to engineering students. 6 Alternative designslike problem-based and some project-based learning integrate mathematics with engineeringsubjects to provide a context for mathematics. 7The
Joanneum University of Applied Sciences, we offer a variety of engineering degreeprograms. The faculty considers it especially important to apply modern didactical methodslike project based learning in the degree program as early as possible to increase theefficiency of knowledge transfer and to fortify the students’ motivation to learn and to Page 26.410.6cooperate actively. Students are confronted, complementary to their regular courses, withproblems that are of a multidisciplinary nature and demand a certain degree of mathematicalproficiency7. This leads to a closer cooperation among the faculty and thus to a bettercoordination of the courses that take
Appoffers the simulation of this action performed with planes parallel to the coordinate planes XY,XZ and YZ. In Figure 4 we can see images of this simulation, representing reversible thoughtwhich we consider is as key element for the visualization process. Fig. 4. Simulation that fosters the visualization process.The intersection of the curves will be projected on the XY coordinate plane, and a simulationperformed with another button also reverse this effect to reconstruct the surface.About solids of revolutionThe second level of our AR App includes the visualization of solids of revolution. Traditionallythe subject of calculating the volume of a solid of revolution is in the chapter on applications ofIntegral Calculus. In this
Curriculum Development. Notable is her number of years in the Academic and Educational Technology field and the experience it brings to her present position.Tonya Troka, Colorado Technical University Tonya Troka, with more than 10 years of experience working with online students, has been a leader of the adaptive learning implementation project since its initial launch in October 2012. As the University Program Director for General Education/Psychology, she works directly with the general education cur- riculum that was used to integrate the adaptive learning technology into the classroom. Troka has also provided insight into using the technology in the classroom and how success should be measured
) makes SimCalc MathWorlds © (hereon SimCalc) software with potential to transformthe way mathematics can be learned5,6.The main idea that motivated the creation of SimCalc project was to foster and enrich theMathematics of Algebra and Calculus, and simultaneously give students an early access toimportant concepts. According to Burke, Hegedus y Robidoux7, the SimCalc design team(including researchers, software developers and teachers) sought not only improve existingschool curriculum, but also transform it with activities that would not be possible without the useof technology. In order to do so, a key element in SimCalc is its representational infrastructurethat allows observing different representations (graphical, algebraic, tabular