Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2023 ASEE Annual Conference & Exposition

Authors

Gianluca Guadagni, University of Virginia; Deepyaman Maiti, University of Virginia; Farzad Shafiei Dizaji

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Diversity

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Mathematics Division (MATH)

choose the grading option before the end of the semester at a specific deadline: 04/28/2020, 11/06/2020, or 04/30/2021. All deadlines, even in Spring 21, were before Final Exams.Description of SurveyOur study participants (second, third-, and fourth-year students who had taken at least one APMA course)completed a ~50-question online survey [1] early in Spring 22 semester about their experiences in APMAcourse(s) from Spring 20 to Spring 21 semesters. Survey questions were related to demographic data,motivation, technological tools/ applications used, office hours, help sessions, quizzes/tests in an onlinesetting, grading options, and questions comparing APMA courses with major-related core courses.Analysis Methods, Results, and

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia

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Mathematics Division (MATH)

combinations of three linearly independent vectors, which isthe exercise in Figure 3. By rotate viewing the graph they obtained, they observed that thespan is not a plane any more. All the combinations residue in all possible directions in R3 . 9Then students reflected that: three linearly independent vectors span the whole R3 .4.1.2 Example 2Another important concept in this class is ’subspace’. In order to determine whether a given → −subset S ⊂ Rn is a subspace, three criterion should be checked: (i) 0 ∈ S. (ii

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Juliana Martins Philot, Instituto Mauá de Tecnologia - Brazil; Barbara Lutaif Bianchini, Pontifícia Universidade Católica de São Paulo - Brasil; Eloiza Gomes, Instituto Mauá de Tecnologia - Brazil; Gabriel Loureiro de Lima, Pontifícia Universidade Católica de São Paulo - Brasil; Octavio Mattasoglio Neto Neto

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Diversity

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Mathematics Division (MATH)

Paper ID #39362Elaboration of a contextualized event for teaching eigenvalues andeigenvectors in the control and automation engineering courseJuliana Martins Philot, Instituto Mau´a de Tecnologia - Brazil I hold a B.A. in Mathematics from Universidade Estadual Paulista J´ulio de Mesquita Filho - UNESP (2007), a M.Sc. in Mathematics from Universidade Estadual Paulista J´ulio de Mesquita Filho - UNESP (2010) and a Ph.D. in Mathematics Education from Pontif´ıcia Universidade Cat´olica de S˜ao Paulo - PUC- SP (2022). I have experience in Mathematics Teaching for Engineering courses since 2009 and currently I am a

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Mark Mixer, Wentworth Institute of Technology; Deirdre Donovan, Wentworth Institute of Technology

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Diversity

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Mathematics Division (MATH)

, Leaving College: Rethinking the Causes and Cures of Student Attrition. 2nd ed. Chicago, IL, USA: University of Chicago Press, 1993.[12] J. A. Middleton, S. Krause, S. Maass, K. Beeley, J. Collofello and R. Culbertson, "Early course and grade predictors of persistence in undergraduate engineering majors," 2014 IEEE (Institute of Electrical and Electronic Engineers) Frontiers in Education Conference (FIE) Proceedings, Madrid, Spain, 2014, pp. 1-7, doi: 10.1109/FIE.2014.7044367.[13] M. W. Ohland, A.G. Yuhasz, and B.L. Sill, “Identifying and removing a calculus prerequisite as a bottleneck in Clemson's General Engineering Curriculum.” Journal of Engineering Education, vol. 93, no. 3, pp. 253-257. 2004.[14] J. Pearson, L.A. Giacumo

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2023 ASEE Annual Conference & Exposition

Authors

Alberth Alvarado, Universidad Galileo; Jose Roberto Portillo, Universidad Galileo

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Diversity

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Mathematics Division (MATH)

score corresponds to the student's firstattempt to solve the worksheet, where no educational resources are available. In other words,these results come exclusively from the student's prior knowledge. In contrast, the maximumscore may match the student's final try, i.e., when the student solves the worksheet successfullyafter studying MATH 101's material. Of course, there are cases where the students only require asingle attempt to solve the worksheet satisfactorily; in these cases, the minimum and maximumscores are equal. Finally, note that the average number of attempts is a relative measure of thetopic's difficulty; the closer to 1, the easier it was for the student to pass to the next module.With the following topic-by-topic analysis, we can

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Krystal Corbett Cruse, Louisiana Tech University; Carl Boyet; Levi Savercool; Hylie Jane Holloway

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Diversity

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Mathematics Division (MATH)

Foundation under Grant No.(2221638).Any opinions, findings, and conclusions or recommendations expressed in this material are thoseof the author(s) and do not necessarily reflect the views of the National Science Foundation.References[1] Besterfield-Sacre, M., Atman, C.J. and Shuman, L.J. (1997), Characteristics of FreshmanEngineering Students: Models for Determining Student Attrition in Engineering. Journal ofEngineering Education, 86: 139-149. https://doi.org/10.1002/j.2168-9830.1997.tb00277.x[2] Veenstra, C. P., Dey, E.L., Herrin, G.D.. "A Model for Freshman Engineering Retention."Advances in Engineering Education 1, no. 3 (2009): n3.[3] Nelavai, N., & Ramesh, S. (2020). An Insight into the challenges faced by First Year EngineeringStudents

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2023 ASEE Annual Conference & Exposition

Authors

Tijesunimi Abraham Adeyemi, Morgan State University; Oludare Adegbola Owolabi P.E., Morgan State University; Neda Bazyar Shourabi, Pennsylvania State University, Berks Campus; Chukwuemeka Duru; Jumoke 'Kemi' Ladeji-Osias, Morgan State University; Frank Efe

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Mathematics Division (MATH)

sametravel lane, and when one vehicle passes another, the trajectories will come together. Time-spacediagrams are practical tools for assessing and showing the traffic flow characteristics of a particularroute section over time (e.g., analyzing traffic flow congestion). However, the ruler experimentwill be the one we pay the most attention to using the distance formula.Now, using fundamental calculus knowledge, we can mathematically deduce the equation ofmotion. Acceleration, distance, and velocity are all related to time, as previously mentioned.The velocity is the displacement that an object or particle experiences with respect to time. In theInternational System of Units (SI), the unit of velocity is meters per second (m/s) Figure 1 (Graph

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Hui Ma, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

in other math courses with active learningstructures. Reference[1] Henshaw, R., 1991, December. Desirable attributes for professional engineers. In Broadeninghorizons of engineering education, 3rd Annual conference of Australasian Association forEngineering Education (pp. 15-18).[2] Lang, J.D., Cruse, S., McVey, F.D. and McMasters, J., 1999. Industry expectations of newengineers: A survey to assist curriculum designers. Journal of Engineering Education, 88(1),pp.43-51.[3] Freeman, S., Eddy, S.L., McDonough, M., Smith, M.K., Okoroafor, N., Jordt, H. andWenderoth, M.P., 2014. Active learning increases student performance in science, engineering,and mathematics. Proceedings of the national academy of

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Daniel Blessner, Pennsylvania State University, Wilkes-Barre Campus

Tagged Divisions

Mathematics Division (MATH)

: Foundations of the new reform.Harvard Educational Review, 57(1), 1–23.[5] Baumert, J., Kunter, M., Blum, W., Brunner, M., Voss, T., Jordan, A.,Klusmann, U., Krauss, S., Neubrand, M., & Tsai, Y. M. (2010). Teachers‟mathematical knowledge, Cognitive activation in the classroom, and studentprogress. American Educational Research Journal, 47(1), 133–180.[6] Ball, D. L. (2000). Bridging practices intertwining content and pedagogy inteaching and learning to teach. Journal of Teacher Education, 51(3), 241–247.[7] Hauk, S., Toney, A., Jackson, B., Nair, R., & Tsay, J. (2014). Developing amodel of pedagogical content knowledge for secondary and post-secondarymathematics instruction. Dialogic Pedagogy: An International Online Journal, 2

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Mary E. Lockhart, Texas A&M University; Noor Hakim; Vainavi Chilukuri, Texas A&M University; Jason Champagne; Karen E. Rambo-Hernandez, Texas A&M University; Robin A.M. Hensel, West Virginia University

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Diversity

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Mathematics Division (MATH)

National Academies Gathering Storm committee concluded several years ago that theprimary driver of the future economy, security of the United States (US) as a nation, andconcomitant creation of jobs would be innovation—largely derived from advances in scienceand, particularly, in engineering [1]. It has been estimated that close to 50% of the students whobegin their education in engineering do not follow through to the completion of an engineeringdegree [2]-[5]. Some studies have further documented that the propensity for engineeringstudents to attrit is particularly high during their first two years of college [2], [4]. Givenengineers’ critical role in the growth of the U.S.’s economy, security as a nation, and creation ofjobs, this high-level of

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2023 ASEE Annual Conference & Exposition

Authors

Hui Ma, University of Virginia

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

(2020) Raisingthe Bar with Standards-Based Grading, PRIMUS, 30:8-10, 1110-1126, DOI: 10.1080/10511970.2019.1695237[6] Carlisle, S. 2020. Simple specifications grading. PRIMUS. 30(8–10): 926–951. https://doi.org/10.1080/10511970.2019.1695238.[7] Lewis, D. (2022). Impacts of Standards-Based Grading on Students’ Mindset and TestAnxiety. Journal of the Scholarship of Teaching and Learning, 22(2), 67-77.[8] Krathwohl, D. R. (2002). A revision of Bloom's taxonomy: An overview. Theory intopractice, 41(4), 212-218.[9] Usher, E. L., & Pajares, F. (2009). Sources of self-efficacy in mathematics: A validationstudy. Contemporary educational psychology, 34(1), 89-101.[10] Dweck, C. S. (2014). Mindsets and math/science achievement.[11] Taylor, J., &

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Hadas Ritz, Cornell University

Tagged Divisions

Mathematics Division (MATH)

end of the semester when the full extent of the course trouble becameclear, absorbed communications from many angry students (and parents), and never gave me ahard time about the trouble I caused. I’m sincerely grateful for her support and forbearance.References[1] The Mathematical Association of America, “What is webwork?” Available at https://webwork.maa.org/intro.html (2023/02/28).[2] S. Clontz, “Checkit,” Available at https://checkit.clontz.org (2023/02/28).