purpose of the modules is to introducemathematical concepts through modeling real-world applications and is intended to develop thestudents’ ability to generalize a concept and to work with models of varying abstraction. Theauthors represent an interdisciplinary team contributing expertise from the fields of mathematics,computational science, and teacher education.IntroductionPostmodern technology is characterized by great complexity and demands tremendous modelingand abstraction capabilities. For students to be successful in most engineering program, theyshould be able to apply the mathematics to model this complexity1,2. Problem-solvingexperiences have been advocated for decades in numerous textbooks, reference articles, andteaching
forthe students to review and to reinforce topics from throughout the semester, as well as to ensurethat the students retain the topics they have learned.ALEKS provides a personalized, time-efficient environment in which each student is able towork through the Precalculus curriculum at his or her own pace. If a student begins the coursealready having mastered certain topics, and demonstrates this mastery on an assessment, ALEKSdoes not require the student to work through problems from that type. Rather, the student is freeto move on and spend time working on topics that they have not yet mastered. Many studentsinformally commented throughout the semester that they appreciated this feature of ALEKS.Working problems using ALEKS also has
Mathematical Association of America. She is a member of Tau Beta Pi and Phi Kappa Phi as well as the MAA.Dr. Tamara Pearson, Clayton State University Dr. Tamara Pearson is currently an Assistant Professor of Mathematics Education at Clayton State Uni- versity in Morrow, Georgia. She received her bachelors of science in Mathematics from Spelman College in 1996 and a Ph.D. in Curriculum and instruction from the University of Florida in 2003. Page 23.720.1 c American Society for Engineering Education, 2013 Improving Student Understanding and Efficiency
students develop a deeper understanding of the mathematicalcontent and effective pedagogy for the secondary mathematics curriculum. All of the graduatestudents were assigned as teaching assistants in a precalculus course covering the same content asthat in the secondary mathematics curriculum. Four of the undergraduates also assisted in thesame precalculus course. Thus, the field of interactions among the students was as shown inFigure 1.Figure 1: Areas of interaction for the undergraduate and graduate students in the study. “U” in- dicates an undergraduate student, “G” indicates a graduate teaching assistant and “xG” indicates a graduate student whose data was not used in the study.Graduate participants in the study were
evaluated in order to avoidoverburdening the students.The project introduced in this paper was offered first-year students in their second semester,with the aim to demonstrate to them a typical application of computational methods inengineering and to stimulate their motivation and basic interest in informatics andmathematics. Although fluid mechanics is not part of the curriculum in the first year of study,automotive engineering freshmen naturally show a strong interest in this topic. Concepts likeaerodynamic drag, uplift and downforce are often used in connection with vehicle design, andthe visual perception of the flow around an airfoil or an automobile fosters the students’comprehension of fluid dynamics. Visualization bridges the quantitative
engaged in education research. Brian has also facilitated over 300 education devel- opment workshops on problem-based learning, assessment, curriculum development and peer instruction across 10 countries. His education research interests include examining students’ approaches to learn- ing within group-based project-driven pedagogies, epistemological development, progression, conceptual understanding and pedagogical evaluations. c American Society for Engineering Education, 2017 Performance by gender on university placement tests in mathematics and spatial skillsIntroductionIn an effort to enhance the first year experience (FYE) it is now common for higher
that. I think that it separates—it’s like a filtering process. Like, are you smart enough to get through the math so that you can actually become an engineer? Same with the physics. Are you smart enough to get through the physics? Are you smart enough to get through the chemistry? Are you able to get through those core curriculum in order to see that you have the capability to solve these real-world problems? (Nicki, New Engineer)A year or two into their careers, however, they had not yet witnessed the kind of flexible andpowerful use of mathematics that I observed in veteran engineers, nor had they been exposed tothe skepticism that accompanied this use. Still, Nicki sensed that something was missing; she feltshe
open-endedresponses from an SI Leader.The paper includes a discussion of the diffusion and expansion of the SI model to other coursesat the community college along with the attendant problems and solutions and concludes with alook ahead.IntroductionNorthern Essex Community College (NECC) is one of fifteen state-supported communitycolleges in Massachusetts. NECC offers comprehensive academic programs of study leading tothe Associate in Arts degree, the Associate in Science degree and Certificates of programcompletion. Students achieve the skills required to successfully transfer to a baccalaureateprogram at a four year institute, or become an integral part of the highly skilled Massachusettswork force.The NECC student body is a complex group
started a project two years ago to renovate themathematics curriculum. In our scheme, we develop an entertaining teaching environment usinggaming and virtual reality technologies to stimulate student interests and enhance their learningeffectiveness. By converting abstract concepts into vivid animation and providing game-likeinteractivities, the teaching environment possesses the unique features12,13,14 that traditionalclassroom teaching does not have: first, it helps learners understand complex and non-intuitivesubjects. Students often have difficulty in comprehending abstract concepts andmultidimensional phenomena. Mastery of these concepts requires students to build mentalmodels that incorporate invisible factors15,16. The virtual learning
Conservationand Accounting Principles [5]). Glover and colleagues produced an introductory textbook thatused this approach [6].In 1993, seven schools came together as the Foundation Coalition (FC) under the auspices of theNSF Engineering Education Coalitions Program. One of the major thrusts of the FC wascurriculum integration. Building on the earlier work at Texas A&M, Rose-Hulman developed anew sophomore engineering curriculum—the Rose-Hulman/Foundation Coalition SophomoreEngineering Curriculum (SEC) [7]. This curriculum also used CAP as an organizing principle.Taught continuously since 1995, the one constant in the SEC has been its foundational course,Conservation & Accounting Principles, that sets the stage for the rest of the curriculum
needs. c American Society for Engineering Education, 2020 Addressing Math Readiness for STEM ProgramsAbstractDuring the 2016 academic year, Methodist University found that our math sequence requiredsome curriculum modifications in order to better support our growing Engineering Program. Tomeet the needs of incoming students, we created an Integrated Precalculus I course inconjunction with a new placement grid that incorporates both ACT/SAT math scores and thehigh school GPA for placement into the first semester mathematics course. This integratedcourse combines the College Algebra and Precalculus I courses so that students are on track forPrecalculus II in the spring semester. Students are then
reported modifications toor in support of Precalculus.Some retained records (6.1%) focused on innovation of courses outside of the typical mathsequence. Carpenter [32] describes integrating calculus concepts into introductory chemistry,biology, and physics courses to illustrate connections between math and the natural sciences.Lewis and Hieb [33] discuss integration of an online math learning platform in an existing first-year engineering course. Lowery et al. [22] present an initiative to implement projects that spanacross calculus and engineering courses.Table 5. Retained records by targeted class(es) (n = 49). Frequency (-) Percentage (%) Calculus I 29
found to besimilar to the population at WSU based on incoming ACT math scores and preparation; however,the curriculum does not have room to add an additional required course as was done at WSU. Sincethe research to date shows that the majority of the impact of the course is on students that are notcalculus ready, the course developed at GVSU focuses on those students. Consequently, thiscourse is optional and marketed toward students who are not in calculus, enrolled in either a pre-calculus math course or trigonometry.The course was first offered in Fall of 2016. Much of the course is based on the course materialsand text developed as part of the Wright State Model; however, due to constraints, the lab portionwas limited to in-class
Results from the Implementation of Wright State Model for Engineering Mathematics at University of Detroit MercyAbstractDifficulties with the Calculus sequence in the engineering curriculum leads to many studentsabandoning engineering programs. Many of these students are from underrepresented groups suchas women and students of color. This is a significant loss to the profession. The problem is notnew and engineering educators have worked on different strategies to alleviate this problem. Afairly well-known approach, first proposed by faculty from Wright State University, involvesteaching an Engineering Mathematics class to freshmen engineering students. Taught by engineers(and not mathematicians), this course typically covers
, characterized by active, project-based learning, by introducingmathematical and scientific concepts in the context of application, and by integrating thedevelopment of teamwork, communication, and problem-solving skills in learningexperiences throughout the engineering curriculum. An engineering education based on thisvision should produce graduates better prepared to meet the needs of engineering employersand increase student motivation and interest [2].To accomplish such a shift in undergraduate engineering education, efforts towards a holisticengineering curriculum that is compatible with the complexity inherent in the technologiescurrently being developed have been encouraged (see, e. g., [3]). The key distinction drawnhere is between engineered
Paper ID #25316Using More Frequent and Formative Assessment When Replicating the WrightState Model for Engineering Mathematics EducationDr. Leroy L. Long III, Embry-Riddle Aeronautical University Dr. Leroy L. Long III is an Assistant Professor of Engineering Fundamentals at Embry-Riddle Aeronau- tical University in Daytona Beach, FL. He earned his PhD in STEM Education with a focus on Engineer- ing Education within the Department of Teaching and Learning at The Ohio State University (OSU). He earned his Master’s in Mechanical Engineering at OSU and his Bachelors in Mechanical Engineering at Wright State University. Dr
for Engineering Education, 2019A Preliminary Investigation into Mathematics for Undergraduate Engineering Education to ImproveStudent Competence in Important Mathematic SkillsKey Words: mathematics, mathematics instruction, pedagogy, instructional design, curriculum designIntroductionEngineers must have an understanding of mathematics. It is impossible to receive an undergraduateengineering degree, and later a professional engineering license, without mathematics instruction at apost-secondary level. Yet, undergraduate engineering students frequently struggle with mathematics. Theconnection between mathematics and engineering, that is the ability for students to transfer theirknowledge from mathematics courses to other engineering courses
14.711.4Using a program such as ALEKS as homework in lieu of a series of written homeworkassignments can also reduce the load on the instructors, allowing them to spend more time onother responsibilities such as curriculum improvement, student advising, and professionaldevelopment. Therefore, it is important to investigate whether an e-learning program such asALEKS is more effective than, or at least as effective as, traditional pencil and paper homeworkassignment on helping students improve Math skills.Relationship between Learning Styles and Academic PerformanceIndividual students in the same classroom may have different learning experiences due to theircharacteristics such as learning styles. For example, some students may learn information in
Paper ID #28781On the effectiveness of designing didactical situations targeting Rˆn toteach the concept of subspace in linear algebraDr. Anibal Sosa, Universidad Icesi Mathematician with a PhD in Computational Sciences from UTEP, and works as an Assistant Professor for the Dept. of Information Technology and Communications at Universidad Icesi (Colombia).Dr. Norha M. Villegas, Universidad Icesi, Colombia Norha M- Villegas is an Associate Professor in the Department of Information and Communication Tech- nologies, Director of the Software Systems Engineering Bachelor Program at Universidad Icesi, Cali, Colombia, an Adjunct
puta lot of effort in reducing the dropout rate of part-time engineering students, particularly focusingon dropout that occurs during the freshmen year. With this objective in mind and knowing that thestudents’ experience with the first calculus course is an important variable that may lead a studentto abandon his career plan, we decided to implement active learning methodologies [6] to teachthat course to part-time students. As [7] states, active learning methodologies may directlyinfluence social integration and indirectly affect the student’s dropout decision.In this paper, we introduce what we call Guided-Lecture Team Based Learning (GL-TBL), whichis a learning methodology whose core relies on the well-known Team Based Learning (TBL
individual and group support directedby mentors with expertise in the field of mathematics education. In a third and fourth moment,the mentored instructor design and implement the new learning experience. Critical reflectiontakes place along these first four phases that are mainly conducted by the mentored instructor.Finally, the case study finishes with the evaluation stage, which includes a quantitative andqualitative analysis of the information. Figure 1 – MethodologyPhase 1. Micro-curriculum analysisIn this first stage, through the support of an external peer, a review of the official Algebra andFunctions syllabus is carried out. For this, some of the main elements involved in a micro-curriculum design are
2013, CSUB was awarded an NSF IUSE grant. One of the grant activities was a pilot co-teaching program between mathematics and STEM faculty members. The co-teachingprogram consists of two phases: co-teaching module development and module verification bymathematics faculty members.For co-teaching module development, the program paired up mathematics faculty membersteaching Precalculus 1, 2 (College Algebra and Trigonometry) and Calculus 1, 2 (SingleVariable Calculus – Differential Calculus and Integral Calculus) with faculty members ineach of the disciplines of Chemistry, Engineering, or Physics. Students in these classes weretaught jointly by a mathematics faculty member and a faculty member in the respectiveSTEM disciplines.The goal of this
disciplines andadministration and work together to design a new curriculum that draws together keyconcepts and problem-solving skills within the context of understanding science and itsconnections to engineering. Some results23 suggests that reorganizing the foundationalengineering education sequences so that the instructors cooperate and coordinatecontent, rather than just presenting disparate views of the subject matter in parallel.Others have suggested that providing engineering students with experiences inmodeling may help bridge the gaps among disciplines24,25. Any new core curriculum in Page 23.352.8engineering education must be sustained by an ongoing
their undergraduate engineering curricula, and extensively shared their results with the engineering education community. He co-created the Integrated, First-Year Curriculum in Science, Engineering and Mathematics at Rose-Hulman Institute of Technology, which was recognized in 1997 with a Hesburgh Award Certificate of Excellence. He has authored or co-authored over 70 papers on engineering education in areas ranging from curricular change to faculty development. He is collaborating on NSF-supported projects for (i) renewal of the mechanics of materials course, (ii) improving preparation of students for Calculus I, (iii) systemic application of concept inventories. He is currently an ABET Program Evaluator and a
graph and positiongraph. In a conventional curriculum those relations refer to the positive (negative) sign, andincreasing (decreasing) behavior of derivative function, corresponding to the increasing(decreasing) and concave upward (downward) behavior of the function. Software brings thescenario for learning those facts analyzing the real context of linear motion. As part of the study,an assessment instrument was designed in order to appreciate the students’ appropriation of thoserelations. The instrument’ items are classified by corresponding to the linear motion context, orcorresponding to different real contexts (no motion), or without including any real context. Theyalso consider the posing information of the item and of the answer, being
week) Analytical and numerical solutions of partial differential equations (4 weeks) Vector calculus and Vector Integral Theorems (3 weeks) Statistics and Probability (4 weeks) Introduction to optimization (1 week)The rationale for choosing these topics is discussed here. The first two topics arediscussed in the course because they are prerequisite to the major topic of the course,partial differential equations. However, their coverage is limited to four lecture sessionsas it is intended to be an overview rather than an in-depth discussion of the differentialequations (DEs). Laplace Transform method of solving DEs is not covered as it iscovered in details in the other core course, Control of Mechanical Systems. Fourier
theoretical framework and an example. Journal for Research in Mathematics Education, 38(4), 370 - 392. 7. Dubinsky, E. & McDonald, M. A. (2002). APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research, the Teaching and Learning of Mathematics at University Level, 7 (3), 275-282. 8. Ferrini-Mundy, J. & Graham, K. (1994). Research in calculus learning: Understanding limits, derivatives, and integrals. In E. Dubinsky & J. Kaput (Eds.), Research issues in undergraduate mathematics learning, 19-26. Washington, DC: Mathematical Association of America. 9. Kashefi H., Ismail Z., & Yusof, Y. M. (2010). Obstacles in the Learning of Two-variable Functions
: (1) Development of the first draft of the MAI, (2) Pilot testing the MAI,and (3) Preliminary analysis of the pilot test data.To develop the MAI, faculty of second- and third-year engineering courses were surveyed abouthow key concepts and techniques from single variable differential and integral calculus are usedin intermediate-level engineering courses. Based on their feedback, as well as feedback fromadvanced undergraduate engineering students, an initial set of test items was developed. Theresulting MAI consists of five open-ended questions with eleven sub-questions. The test isdesigned to be administered during one hour in paper-and-pencil format.The MAI was administered during the first week of the Fall 2009 semester as a pre-test to
Paper ID #5702Vertical assessment of math competency among freshmen and sophomore en-gineering studentsDr. Kendrick T. Aung, Lamar University KENDRICK AUNG is a professor in the Department of Mechanical Engineering at Lamar University. He received his Ph.D. degree in Aerospace Engineering from University of Michigan in 1996. He is an active member of ASEE, ASME, SAE, AIAA and Combustion Institute. He has published over 70 technical papers and presented several papers at national and international conferences.Dr. Ryan Underdown, Lamar University Dr. Underdown is an Associate Professor in the Industrial Engineering
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