Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Mary Katherine Watson, The Citadel; Simon Thomas Ghanat P.E., The Citadel; Timothy Aaron Wood, The Citadel; William J. Davis P.E., The Citadel; Kevin C. Bower, The Citadel

Tagged Divisions

First-Year Programs, Mathematics

" Proceedings of the American Society for Engineering Education Annual Conference and Exposition, Chicago, IL, 2006.[36] M. Allen and A. Kelley, "Emphasizing teamwork and communication skills in introductory calculus courses," Proceedings of the American Society for Engineering Education Annual Conference and Exposition, Honolulu, HI, 2007: https://peer.asee.org/2166.[37] A. Bernal, J. J. Leader, and J. B. Ward, "Creating laboratories to aid student modeling ability in Calculus I," Proceedings of the American Society for Engineering Education Annual Conference and Exposition, Salt Lake City, UT, 2018: https://peer.asee.org/30235.[38] J. D. Desjardins, E. Breazel, M. Reba, I. Viktorova, J. B. Matheny, and T. R. Khan

Conference Session

Mathematics Division Technical Session 2

Collection

2019 ASEE Annual Conference & Exposition

Authors

Scott W. Campbell, University of South Florida; Carlos A. Smith PhD, University of South Florida; Silvia M. Calderon, Universidad de Los Andes, Venezuela

Tagged Divisions

Mathematics

containing a fluid with mass Mf and heatcapacity Cf, initially at a temperature Tf(0). A value for the convective heat transfercoefficient h between the pellet and fluid is given. Students are asked to determine thetemperatures T of the pellet and Tf of the fluid as functions of time, ignoring any thermalinteractions between the cooling bath and surroundings. A diagram of the problem isshown in Figure 1a.Figure 1. Quenching of a pellet in a small bath (a) and in a large bath (b).Previously, students have been exposed to the fundamentals of heat transfer to a lumpedparameter system through the basic notion of conservation of energy (rate ofaccumulation of energy in the system = rate of energy entering – rate of energy leaving).In addition, they have

Conference Session

Mathematics Division Technical Session 2

Collection

2019 ASEE Annual Conference & Exposition

Authors

Amitabha Ghosh, Rochester Institute of Technology

Tagged Divisions

Mathematics

question has three requirements. The question must be1) clearly written, 2) error-free, and 3) answerable within 3 minutes of testing time for averagestudents. Faculty are asked to focus on one or two key concepts only to design the question.Otherwise the question is not posed as an MC question.Category A questions are those in which questions are well-posed, and 60% or more of the classcan answer them correctly. On figure 2, Q1 and Q4 fit this category. Category B questions arethose where the questions are well-posed but less than 60% of the class can answer themcorrectly. Here Q2 fits that category. The response in Q3 on the other hand shows a completelydifferent trend. Such responses may happen due to one of three reasons: 1) the question

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Norha M. Villegas, Universidad Icesi, Colombia - University of Victoria, Canada; Stephanie Celis Gallego, Universidad Icesi; Ivonne María Suárez, Universidad Icesi; Juliana Jaramillo JJO, Universidad Icesi; Angelica Burbano, Universidad Icesi; Alvaro Pachon, Universidad Icesi; Diego Antonio Bohorquez, Universidad Icesi; Lina Marcela Quintero P.E., Universidad Icesi; Isabel Echeverri, Universidad Icesi; Lady K. Castillo; Cesár Augusto Cuartas Rodríguez, Universidad Icesi

Tagged Divisions

Mathematics

Paper ID #26882Professor Critical Reflection and its Impact on Learning Environments: ACase Study Applied to a First-year Mathematics Course in EngineeringDr. Norha M. Villegas, Universidad Icesi, Colombia - University of Victoria, Canada 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 Assistant Professor of the Department of Computer Science, University of Victoria, in Canada, and an IEEE Senior Member. Her research interests include engineering

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Sasha Gollish, University of Toronto; Bryan Karney, University of Toronto

Tagged Divisions

Mathematics

Based Learning and Authentic Assessment in Digital Pedagogy: Embracing the Role of Collaborative Communities”. The Electronic Journal of e- Learning, 13(2), 68-83.Costa, A., & Kallick, B. (2008). Learning and Leading with Habits of Mind: 16 Essential Characteristics for Success. Alexandria: Association for Supervision & Curriculum Development.Harper, K., Baker, G. R., & Grzybowski, D. M. (2013). First Steps in Strengthening the Connections Between Mathematics and Engineering. PEER. Atlanta: American Society for Engineering Education.Holmegaard, H. T., Madsen, L. M., & Ulriksen, L. (2016). Where is the engineering I applied for? A longitudinal study of students’ transition into higher

Conference Session

Mathematics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Paran Rebekah Norton, Clemson University; Karen A. High, Clemson University; William Bridges, Clemson University

Tagged Divisions

Mathematics

Paper ID #25431Exploring the Relationship Between Course Structures and Student Motiva-tion in Introductory College CalculusMrs. Paran Rebekah Norton, Clemson University Paran Norton is a doctoral research assistant in the Engineering and Science Education department at Clemson University. She received her B.S. degree in Mathematics from the University of North Geor- gia in 2013 and her M.S. degree in Mathematical Sciences from Clemson University in 2015. She has taught introductory mathematics courses at Clemson University. Her primary research focuses on improv- ing student success in introductory college calculus

Conference Session

Mathematics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Erik A. Mayer, Pittsburg State University; Yaping Liu, Pittsburg State University; David Miller, Pittsburg State University; Jeremy Wade, PacificSource Health Plans

Tagged Divisions

Mathematics

university grant was received in 2016 for Mathematics, EET, and MECET faculty to create alab manual for Engineering Calculus II. The lab manual consisted of an EET laboratory projectand a MECET laboratory project for each topic as shown in Table 1 [2], [4]. The laboratoryprojects consisted of problems to be solved using the open-source SageMath software [5]. Thelaboratory projects illustrating the applications of integration are shown in Appendices A and B.The laboratory project in Appendix A was developed for MECET students and covers thecentroid of an area. The laboratory project in Appendix B was developed for EET students andcovers the calculation of the dc and rms values of periodic waveforms.AssessmentThe effectiveness of the new Engineering

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Maizey Benner, Purdue University; Daniel M. Ferguson, Purdue University; Matthew W. Ohland, Purdue University; Behzad Beigpourian, Purdue University

Tagged Divisions

Mathematics

Paper ID #25521Analyzing Changes in the Individual Dimensions of a Behaviorally AnchoredRating ScaleMs. Maizey Benner, Purdue UniversityDr. Daniel M. Ferguson, Purdue University Daniel M. Ferguson is CATME Managing Director and the recipient of several NSF awards for research in engineering education and a research associate at Purdue University. Prior to coming to Purdue he was Assistant Professor of Entrepreneurship at Ohio Northern University. Before assuming that position he was Associate Director of the Inter-Professional Studies Program [IPRO] and Senior Lecturer at Illinois Institute of Technology and involved in

Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Cem Karacal, Southern Illinois University, Edwardsville; Ma Zenia N. Agustin, Southern Illinois University, Edwardsville; George Pelekanos, Southern Illinois University, Edwardsville

Tagged Divisions

First-Year Programs, Mathematics

who earned letter grades of A, B, or C and proportion of students who earned gradesof A or B. It has been shown in the literature that students who earn grades of at least B inCalculus I tend to perform better in subsequent mathematics and physics courses3. In this paper,the results for Calculus I during the fall semesters of the five-year project are presented. Thepopulation of students who register for Calculus I during fall semesters differ significantly fromthe population of students who register during spring semesters. Spring semester Calculus Istudents are typically those who are repeating the course or those who are coming from Pre-Calculus. On average, 100 engineering students registered in ES sections of Calculus I in fallsemesters

Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Louis J. Everett, University of Texas, El Paso; Phillip Cornwell, Rose-Hulman Institute of Technology; Yirong Lin, The University of Texas, El Paso; Norman Love, University of Texas, El Paso

Tagged Divisions

First-Year Programs, Mathematics

properties. Any change in an extensiveproperty within the system can be accounted for by counting the amount of the extensive propertytransported across the system boundary and the amount generated or consumed inside the system[18].Given a generic extensive property B, e.g. mass or energy or momentum or charge or entropy, it ispossible to write a general accounting principle for any system. In its simplest form, the finitetime version of the accounting principle is very intuitive and can be written as: Amount of 𝐵 Amount of 𝐵 Amount of 𝐵 Amount of B Amount of 𝐵 Amount of 𝐵 inside inside transported transported generated consumed system − system = into system − out of

Conference Session

Mathematics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Guisela Alejandra Illescas Ms, Universidad Galileo; Alberth E. Alvarado, Universidad Galileo; Jose Roberto Portillo, Universidad Galileo

Tagged Divisions

Mathematics

. (a) (b)Fig. 3. (a) Sample problems in a PSS worksheet, original version in Spanish (Problems taken or adapted from the course textbook [12], and [13]). (b) Translation to English. Fig. 4. Sample of a worksheet solution. This solution corresponds to Problem 2 in Figure 3. (a) (b) Fig. 5. (a) Sample problem in a Topic Quiz, original version in Spanish (problem taken from [13]). (b) Translation to English.3.3 MAPSIn this particular course, three mini-projects were carefully designed so that the

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Daniel Raviv, Florida Atlantic University

Tagged Divisions

Mathematics

therefore we use discrete valuesthat can help in developing good intuition for the different rules.The paper details many examples, among them:(a) Chain Rule:--Inflating a balloon: Change in the volume of a constantly inflated (or deflated) balloon dependson the change in its radius which changes as a function of time.(b) Product Rule:--Delivering apples: An agricultural plant delivers apples on a daily basis. The apples are packedin a fixed number of boxes with of a fixed number of apples in each box. The company is tryingto calculate the change in the total number of apples if it changes both the number of boxes andthe number of apples in each box. A specific numerical and visual example shows how tocalculate this change and how it is

Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Amie Baisley, Utah State University; V. Dean Adams, Utah State University

Tagged Divisions

First-Year Programs, Mathematics

Calculus I for (a) all students N=3927, (b) graduated students N=1373, and (c) retakers N=605 Table 3: Student majors following Calculus I course All Graduated Students who College students students retook Calculus I Engineering (EN Grad/Reg) 2006 888 290 Non-registered Engineering (Non-Reg EN) 988 - 146 Agriculture (AG) 125 64 29 Arts (AR) 16 7

Conference Session

First-Year Programs: Mathematics in the First Year

Collection

2019 ASEE Annual Conference & Exposition

Authors

Leroy L. Long III, Embry-Riddle Aeronautical University; Claudia Morello, Embry-Riddle Aeronautical University

Tagged Divisions

First-Year Programs, Mathematics

. Long is a native of Dayton, OH. He is a proud graduate of Dayton Public Schools and Wright STEPP - Wright State University’s Science, Technology, and Engineering Preparatory Program (STEPP). Dr. Long’s research interests include: (a) students’ technology use, (b) diversity and inclusion, as well as (c) student retention and success, with a particular focus on students in STEM fields. He has helped to lead research, funded by the NCAA Innovations in Research and Practice Grant, to improve the well- being of the student-athlete. Dr. Long has also assisted with research, funded by NSF, to study factors that broaden minority student participation and success in STEM fields. He has conducted and published research

Conference Session

Mathematics Division Technical Session 1

Collection

2019 ASEE Annual Conference & Exposition

Authors

Rebecca George, University of Houston

Tagged Topics

Diversity

Tagged Divisions

Mathematics

if the term was the Spring semester and 0 if it was the Fall semester. Summerand Mini semester information will not be used.Measures - Mediation and Moderated Mediation ModelsThe model for mediation focused on using the students’ test scores from class (test) as theindependent variable with final semester average (grade) as the dependent variable. The stu-dents’ score on an anxiety survey (anxiety) was used as the mediator in the model. Anxiety a b c’Test Grade Figure 2: Single mediator model.ResultsHierarchical linear modeling was used to statistical analyze a data structure where

Conference Session

Mathematics Division Poster Session

Collection

2019 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University

Tagged Divisions

Mathematics

answered the indefinite integral survey question correct by using the exponentialfunction, he/she decided to solve the definite integral version of the same question. He/she madea mistake on the definite integral version of the question that she introduces by putting bounds onthe indefinite integral (which wasn’t a part of the research) and didn’t realize that the upper andlower bounds a and b applied to the indefinite integral on the left hand side of the equality shouldalso be applied to the ∑ term on the right hand side of the equality. !Figure 5. Response of Participant 6 to the integral of the series question.This participant corrected the definite integral answer during the

Conference Session

Mathematics Division Technical Session 2

Collection

2019 ASEE Annual Conference & Exposition

Authors

Rajendran Swamidurai, Alabama State University; Cadavious M. Jones, Alabama State University ; Carl Pettis, Alabama State University ; Uma Kannan, Alabama State University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

the take-home project. Students were provided with somesimulation examples relevant to the real world. Topics for recommendation included (a)gambling games; (b) biological evolution; (c) finance; (d) social network; (e) forensic science;etc. Depending on the students programming background, some template codes that wereamenable to plug-and-play experimentation were provided to facilitate the activity and reducethe effort of writing a program. Those who wished to write their own programs were stronglyencouraged to do so. In both cases, students were asked to examine and manipulate the pythoncode provided.During the discussion and review session, students would compare their results and discussopen-ended questions that related to the project

Conference Session

Mathematics Division Technical Session 3

Collection

2019 ASEE Annual Conference & Exposition

Authors

Stacie Pisano, University of Virginia; Bernard Fulgham, University of Virginia

Tagged Divisions

Mathematics

? Yes Yes No AP score of 5 Yes Pass Calculus II on BC test? Section? Yes No Have No Calculus II Take Calculus II. credit? Yes Take Multivariable Calculus or beyond based on Multivariable credit.Appendix 2 – Grade Point Average Assignment Letter Grade GPA A+ 4.3 A 4.0 A- 3.7 B+ 3.3 B 3.0 B- 2.7 C+ 2.3 C

Conference Session

Mathematics Division Technical Session 2

Collection

2019 ASEE Annual Conference & Exposition

Authors

Cathy Poliak, University of Houston

Tagged Topics

Diversity

Tagged Divisions

Mathematics

one semester Calculus-Based undergraduate Statistics course for the engineering student is aservice course for most Mathematics departments. The typical student uses this course to gainunderstanding of how data is analyzed and interpreted. Technology allows a better way to givethe tools an engineer needs to understand the concepts and ideas in statistics. This paper willshow what has been implemented so that a student is successful in this course and beyond theclassroom.The technology that we use is through many different avenues in a course. One way thattechnology has helped us teach this course is through the delivery of the lectures. We havedesigned an online course that is as successful and no different as if the student is sitting in