Conference Session

Mathematics Division Technical Session 5: From Functions to Big Data–A Hands-on Challenge

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Jeffrey Lloyd Hieb, University of Louisville; Campbell R. Bego, University of Louisville

Tagged Divisions

Mathematics

through controlled implementations of evidence-based practices in the classroom. Dr. Bego has an undergraduate Mechanical Engineering degree from Columbia University, a Professional Engineering license in the state of NY, and a doctorate in Cognitive Science. American c Society for Engineering Education, 2020 Turning the Tables on Partial Credit: Computer Aided Exam with Student Reflection for Partial Credit (CAESR4PC)AbstractThis full-length research paper describes a new type of exam, the Computer Assisted Exam withStudent Reflection for Partial Credit (CAESR4PC). CAESR4PC combines the automatic gradingof computer

Conference Session

Mathematics Division Technical Session 1: Best Practices in Engineering Math Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

JaCoya Thompson, Northwestern University ; Sally P.W. Wu, Northwestern University; Jacob Mills, Evanston Township High School

Tagged Divisions

Mathematics

project focuses on helping high school teachers integrate computer science principles into their mathematics or science classrooms. She received her PhD from University of Wisconsin-Madison in Educational Psychology-Learning Sciences. Her research broadly examines how to help students learn complex visual-spatial content in introductory STEM courses through the design of technology-enhanced interventions for the classroom. Her work thus far has investigated the effects of drawing, collaboration, reflection, and other active learning strategies in undergraduate chemistry and electrical engineering.Mr. Jacob Mills, Evanston Township High School American c

Conference Session

Mathematics Division Technical Session 2: Poster Presentations

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Anibal Sosa, Universidad Icesi, Colombia; Norha M. Villegas, Universidad Icesi, Colombia; Stephanie Celis Gallego, Universidad Icesi, Colombia; Diego Antonio Bohórquez, Universidad Icesi, Colombia

Tagged Divisions

Mathematics

that the national education system does not focus on thedevelopment of STEM competencies. As a result, the motivation of engineering students inmathematics courses is continuously hampered because of deficiencies in prerequisites.The case study presented in this paper is part of a wider project conducted at our institution.The project involved several math courses taken by first and second year engineeringstudents. The main objective of this project was to support mathematics instructors in theprocess of contributing to improve student learning, by continuously reflecting on theeffectiveness of the pedagogical practices that are applied inside and outside the classroom,while adopting a continuous improvement culture that benefits student

Conference Session

Mathematics Division Technical Session 5: From Functions to Big Data–A Hands-on Challenge

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Emre Tokgoz, Quinnipiac University; Hasan Alp Tekalp; Elif Naz Tekalp; Berrak Seren Tekalp, Quinnipiac University

Tagged Divisions

Mathematics

research ([4]). Cooley, Trigueros and Baker reported results in 2007 ([5]) usingthematization of schema with the intent to expose those possible structures acquired at the most sophisticatedstages of schema development. Responses of research participants to a calculus graphing problem was analyzedin [2] by using APOS theory. The components of the APOS theory can be briefly explained as follows ([6]):  An action is a transformation of objects perceived by the as essentially external and as requiring, either individual explicitly or from memory, step-by-step instructions on how to perform the operation...  The individual reflects upon an action when the action is repeated and he or she can make an internal mental construction

Conference Session

Mathematics Division Technical Session 4: Assessing Success in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Johannah L. Crandall, Washington State University; Kristin Lesseig, Washington State University

Tagged Divisions

Mathematics

strictly representative of all students in a given degreepath (i.e. mechanical engineering). However, because enrollment in differential equations is anearly universal requirement for those in engineering paths, and because the sample capturedstudents enrolled in differential equations at a cross-section of time-points in their degreetrajectories, the results are felt to be a fair reflection of the level of software exposure for 8multiple degree paths as they enter differential equations specifically, and upper-division mathcourses more generally.It is not possible to characterize the prior and current software exposure of students who did

Conference Session

Mathematics Division Technical Session 1: Best Practices in Engineering Math Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Charles Lam, California State University, Bakersfield; Melissa Danforth, California State University, Bakersfield; Ronald Hughes, California State University, Bakersfield

Tagged Divisions

Mathematics

much more of a reflection upon me than the modules themselves. We get in aroutine and dropping something in is difficult for me. I would recommend that they prepareto drop those in.”In summary, both mathematics and STEM faculty members found value in the co-teachingexperience. The experience has created a cooperative culture between faculty members thathas led to benefits for both faculty members and students. In addition to gaining better insightinto each other’s disciplines, several faculty members remarked about how the model isadaptable to other situations.Student ObservationsIn interviews conducted by the external evaluator, students indicated they enjoyed the STEMprofessor coming into the classroom and giving them practical STEM problems

Conference Session

Mathematics Division Technical Session 3: Diversity in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

John Kerrigan, Rutgers University; Lydia Prendergast, Rutgers University; Jillian A.S. Mellen, Rutgers University; Geraldine L. Cochran; Antonio D. Silva

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Calculus II course? To answer this research question, twelve semi-structuredinterviews [22] were conducted during the last week of class with a focus on gaining a deeperunderstanding of students’ experiences in the flipped classroom. The research team adaptedquestions from a previous study on students’ self-efficacy in calculus [23]. Students names wereneither provided nor were known to the interviewer. Each interview was 10-20 minutes long andallowed students to reflect on their self-efficacy in mathematics (see Appendix B). Examples ofinterview questions included, “How do you rate your confidence in math now? Why?” and“What could make you feel more comfortable about math?” [23]. All interviews were audiorecorded using a digital recorder

Conference Session

Mathematics Division Technical Session 5: From Functions to Big Data–A Hands-on Challenge

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

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

Tagged Divisions

Mathematics

instructor. Creating a relaxed classroom atmosphereWhen conducting the observations of the traditional lecture and large active learning classes, oneaspect that was noticed each time was the positive, relaxed atmosphere that the instructorscreated. There were instances during each of the observations where students were laughing atthe instructors’ jokes related to mathematics in both classes. Mickey talked specifically about theclassroom atmosphere when reflecting on the most positive aspect of the large active learningcourse: “[The instructor] makes it a fun learning environment like on Halloween she dressed up and did a fun thing so that was cool… She's just funny and she'll make jokes, and one time she sang to

Conference Session

Mathematics Division Technical Session 4: Assessing Success in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Danielle Marie Fredette, Cedarville University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

can to encourage students to become more independent learners.4.2 Independent learners and homeschooling practiceThere is evidence to suggest that the homeschooling lifestyle tends to impart independent learningskills to its students [9, 10], and that engineering freshmen coming from a homeschoolbackground are therefore more likely to take responsibility for their own learning [8]. This is onepossible reason why the homeschooled students from this study succeeded in engineering schoolat a higher rate than their equally mathematically equipped non-homeschooled peers.According to [8] and [11], some important characteristics of an independent learner are: • Critical reflection • Self-awareness (especially related to own learning

Conference Session

Mathematics Division Technical Session 3: Diversity in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Kathleen Marie Fick, Methodist University; Denise H. Bauer, Methodist University

Tagged Divisions

Mathematics

homework. Answer in complete, concise sentences. Figure 2: Quiz Content & Reading/Writing Sample QuestionTable 3 provides examples of other types of reading/writing questions that were utilized either onquizzes linked with content questions or within group activities that were completed either in theclassroom or during the added lab component. One type of activity was a circuit activity as seenin Figure 3. The circuit activity was to be completed in lab, in groups, and at the board to earncredit. A linked follow-up reflection would have been a question similar to the Table 3 examples. Table 3: Examples of Other Reading/Writing Activity

Conference Session

Mathematics Division Technical Session 2: Poster Presentations

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Alexander Henderson, San Jose State University ; Alexander Garcia, San Jose State University

Tagged Divisions

Mathematics

Society for Engineering Education, 2020 Improving STEM Education by Analyzing the Design of a BottleAbstractSTEM education for students is an essential aspect of today’s education since it leads to greaterdevelopment in the modern world and more technological achievements. Achieving this sort ofeducation can be done by performing an engineering analysis to determine the volume content ofa wine bottle. The project conducted here was to determine the volume of a wine bottle bymeasuring it at various points and using mathematics to perform this real-world analysis. Itsobjective is not only to reflect on what was done but to introduce it as a STEM-related project toencourage new growth within the STEM fields. There was also extended reasoning

Conference Session

Mathematics Division Technical Session 3: Diversity in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Lee Singleton, Whatcom Community College; Eric Davishahl, Whatcom Community College; Todd Haskell, Western Washington University

Tagged Divisions

Mathematics

areas that could be analyzed for significant differences between populations.Visualization skills are also important for future engineers and can even be a predictor of successin engineering students. Comparisons of beginning and end of quarter scores on the PurdueSpatial Visualization Test – Rotations (PSVT:R) will also be analyzed for model and non-modelcourses.AcknowledgementsThis material is based upon work supported by the National Science Foundation (NSF) undergrant numbers DUE #1834425 and DUE #1834417. Any opinions, findings, and conclusions orrecommendations expressed are those of the authors and do not necessarily reflect the views ofthe NSF.References[1] J. Medina, Brain Rules: 12 Principles For Surviving And Thriving At Work, Home