Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2023 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

, interesting, motivated, and efficient. Secondly, the aimwas to better illustrate the power of linear algebra to explain fundamental principles andsimplify calculations in various fields, including engineering, computer science, mathematics,physics, biology, economics, and statistics. Thirdly, the focus was on better communicatingthe importance of linear algebra in the applied field, reflecting it as a scientific tool. Lastly,the objective was to empower students’ abilities to solve more complicated and applicableproblems in the real world. This paper’s primary focus is on the redesign effort, whichincorporates MATLAB and introduces active learning into the course, while still coveringall the core topics in any basic linear algebra class. This

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2023 ASEE Annual Conference & Exposition

Authors

Hadas Ritz, Cornell University

Tagged Divisions

Mathematics Division (MATH)

-minute TA-leddiscussion section once a week. In a typical semester (before the change in grading scheme)students would submit weekly graded homework consisting of textbook problems, take a“homework quiz” during the first 10-15 minutes of discussion section, take two preliminary(midterm) exams, and take a comprehensive final exam.Changes for Fall 2022The main goals of the new grading scheme were to: stop collecting and grading writtenhomework; require correct answers for credit; give ample opportunity for reflection and feedbackon mistakes. To accomplish these goals, we devised the following outline for the logistics of thecourse. • Textbook practice problems were posted each week, and full solutions posted a few days later. These were

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia; Heze Chen, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

conceptual aspects of Linear Algebra.Maple primarily serves as a computational tool in this context. Moreover, in team-basedcomputer lab settings, students engage actively with their peers and occasionally with theinstructor, creating a dynamic learning atmosphere that enhances comprehension andcollaboration.Lab, Online Assessments, Application in Interactive Jupyter Notebooks. Silva et al. [60]redesigned the linear algebra course with multiple innovations and students reflected positivelyabout this approach in the paper. Firstly, there was a reorganization of the course structure. Thetraditional linear algebra curriculum, typically consisting of three lecture hours per week, wasredesigned. The theoretical components were condensed into two lectures

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Meiqin Li, University of Virginia; Jessica Taggart, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

difficulty, 2-with difficulty, 3- with some difficulty, 4- neutral, 5-somewhat easily, 6-easily, 7-very easilyIn this specific set of questions, 115 students provided responses to all sub-questions in both thepre-survey and post-survey. Descriptive analysis, as presented in Table 1, indicated an increasein the average Likert scale. Simultaneously, the paired t-tests, reflected by small p-values,revealed significant improvements in students' perceptions of MATLAB. Specifically, by the endof the course after the incorporation of MATLAB, students found it significantly easier toremember instructions and coding styles, select the correct codes for desired outputs, and debugcodes.Set 2: Please indicate how overwhelmed you feel about the following

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

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

those who would have struggled more in their absence.Following the Fall 2022 quarter, a survey was given to the SS students to provide feedback ontheir perception of the SI sessions. Nineteen of the twenty-four responded. While a more in depthlook at the survey is planned for the future, an initial review of the feedback indicates allrespondents viewed the SI sessions as beneficial to their overall course grades in math andengineering. They also had unanimous positive reflections on the community building aspects ofthe SI sessions. Some sample responses to the prompt “Do you think the community buildingaspect of the SUCCESS Scholars Program helped your performance in the math and engineeringclasses? Explain” are: “I do because it helps me

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)

, instructors and researchers found that students feel lessstress or anxiety during timed assessments [7], and they appreciate the opportunities to reattemptthe concepts, without being penalized for early mistakes. Instructors also feel that their gradesare a better reflection of students' actual learning [1].Purpose and research questionsIn light of the importance of helping students succeed in this class, which sets the foundation forfuture courses, and the benefit that alternative grading systems can help students reduce theirstress levels and focus on learning, the author has implemented the mastery grading approach inher Calculus I class, described below. The following questions guided this pilot study: 1. How, if at all, do student

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

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

importance of planning, executing and evaluating subjects that are linked to the interestsand objectives of the courses in which these ones are being offered, reflecting on what skillswe want students to acquire and how these are used in their careers.Prado [4] also suggest that it is necessary to develop a more contextualized, consolidated andattractive course, applying multidisciplinary and transdisciplinary activities, using activemethodologies, articulating practice and theory with the support of software, a fact that is alsohighlighted in the document that in Brazil guides the organization of engineering programs,the National Curriculum Regulations for Engineering Education (DCN1) [13].Stewart, Larson, and Zandieh [7] emphasize the need of

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2024 ASEE Annual Conference & Exposition

Authors

Hadas Ritz, Cornell University; Stephan Wagner, Cornell University

Tagged Divisions

Mathematics Division (MATH)

are able to revise with sufficient reflection and convert the score toa successful demonstration of mastery. Because of the strict grading of individual problems,multiple opportunities (two to five) must be available for most LOs, except those covered towardsthe very end of the semester.The Checkpoints are Canvas quizzes—partially auto-graded, partially manually graded—takenand submitted by students outside of class in an unproctored environment. To help maintainacademic integrity, we needed large banks of randomized questions. Building these Checkpointquizzes in a way that allows randomization but relatively efficient grading is a crucial part of asuccessful implementation of our grading scheme. Final course grades are based entirely on

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Diana D Morris, University of Virginia; Hui Ma, University of Virginia; Farzad Shafiei Dizaji, University of Virginia

Tagged Divisions

Mathematics Division (MATH)

backgrounds and their struggles are reflected in a higher rate ofD/F/W’s (18% in Fall 2021) than students entering at other calculus levels.Mastery grading was introduced in Calculus I in Fall 2022, largely to address disparities in thepreparation of the students, and to combat anxiety and lack of confidence. Key features ofmastery grading include breaking the course material into distinct learning outcomes. Studentsare allowed multiple attempts to demonstrate mastery in each learning outcome [1]. Thisapproach aims to create a supportive and inclusive environment where students can achievemastery at their own pace and foster a growth mindset by emphasizing continual learning overgrades. Two sections were taught using the mastery grading approach, and

Conference Session

Mathematics Division (MATH) Technical Session 1

Collection

2024 ASEE Annual Conference & Exposition

Authors

Luis E Montero-Moguel, The University of Texas at San Antonio; Joel Alejandro Mejia, The University of Texas at San Antonio; Guadalupe Carmona, The University of Texas at San Antonio

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

thepumped water initially did not place the cup horizontally, but one of the team memberssuggested placing the cup on the table to check the measurement accurately. As the team tookmeasurements, they engaged in reflective discussions about the pumping phenomenon as seen intheir data sheet (Fig. 3). Fig. 3. Notes Extract from Team 1’s Data Collection.Team 1 also developed their interpretation of the efficiency concept based on their measurementprocess, pump manipulation, and interpretation of using the pump to supply water to las coloniascommunity. [Professor]: how would you define efficiency? [Team 1]: We can see that during the in between like three minutes and five minutes, there’s a big spike in like the

Conference Session

Mathematics Division (MATH) Technical Session 2

Collection

2024 ASEE Annual Conference & Exposition

Authors

Olivia Ryan, Virginia Polytechnic Institute and State University; Susan Sajadi, Virginia Polytechnic Institute and State University

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

finalized codebook. Table 2 defines the four S’s alongside the transition types in the‬ ‭study context. We organized the results by the type of transition and highlighted how students'‬ ‭experiences map to the four S’s of Schlossberg’s transition theory.‬‭ . Trustworthiness‬E‭Reporting on the quality, credibility, and validation of qualitative research are best practices to‬ ‭ensure the study's trustworthiness‬‭[33]‬‭. In engineering‬‭education, Walther et al.‬‭[34]‬‭provide‬ ‭validation strategies to ensure the quality and trustworthiness of qualitative research.‬‭ heoretical validation of a study should reflect the complexity of the lived experience under‬T‭investigation. This can be validated through the use of an opposing case

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Carl Boyet, Louisiana Tech University; Jonathan Walters, Louisiana Tech University; Christian Smith, Louisiana Tech University

Tagged Divisions

Mathematics Division (MATH)

using worksheets and students were required to write theirwork into a bound notebook (3-ring binder, science notebook, or spiral bound). This handwrittenhomework approach was used to develop student’s ability to express their work clearly. Duringeach test, the notebooks were collected and scored. The instructor gave feedback on errors thatwere noticed and gave a score that reflected the student’s ability to communicate and execute thematerial. The scores did not impact the student’s course grade; however, if a student earned apassing score on all the notebook checks, then the final’s scaled percentage was able to replacethe lowest exam grade.Second Iteration (Winter 2022-2023)In the second quarter, two sections consisting of 62 students were

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

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

as the average of all items. Previous research efforts have shown that thismeasure of outcome expectations is directly related to social cognitive outcomes, includingpersistence intentions [36], [45]. Good internal reliability for the three items was obtained withCronbach’s 𝛼 = .90. Engineering Identity. The Identity as a Scientist instrument developed by Chemers andcolleagues (2010) was adopted and modified specifically for engineering to reflect a student’sself-identification as an engineer. Participants’ engineering identity was measured using three ofChemers and colleagues’ [46] original six identity items. Items were rated on a scale 7-pointLikert scale (1-strongly disagree to 7-strongly agree). Participants indicated their

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

Tagged Divisions

Mathematics Division (MATH)

research andtheir recognition of our work. It should be noted that the opinions, results, conclusions, orrecommendations expressed are those of the author(s) and do not necessarily reflect the views ofthe National Science Foundation.References[1] I. Kleiner, "History of the Infinitely Small and the Infinitely Large in Calculus Author(s)," Springer, vol. 48, pp. 137-174, 2001.[2] E. F. Redish, R. N. Steinberg, and J. M.. Saul, "Student difficulties with math in physics: Giving meaning to symbols," Physics Education Research Group, 1996.[3] S.R. Jones., Applying Mathematics to Physics and Engineering: Symbolic Forms of the Integral, Maryland, 2010.[4] R. Bajracharya., "Student Application of the Fundamental Theorem of Calculus with

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

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

3083Similarly, using either Pearson’s Chi-Squared test for independence or Fisher’s exact test (p-value 0.027 or 0.023 respectively) resulted in rejecting the null hypothesis that gender isindependent of student’s outcome (Pass or FW). Analysis supports that gender and the studentoutcome are not independent. Specifically, female students have a significantly higher passingrate. Predicting student success based on ethnicity, gender, and all the interactions between thosevariables using a logistic regression model is significantly better than a null model (p-value <9.83(10)-16 using a drop in deviance test). However, in this model no individual factor wassignificant in predicting student success (all p-values > 0.05).These findings reflect

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Alberth Alvarado, Universidad Galileo; Jose Roberto Portillo, Universidad Galileo; Byron Haroldo Linares Roman

Tagged Divisions

Mathematics Division (MATH)

, “Developing a comprehensive engagement framework of gamification for reflective learning,” in Proceedings of the 2016 ACM Conference on Designing Interactive Systems, New York, NY, USA: ACM, 2016.[8] J. Stefaniak and K. Carey, “Instilling purpose and value in the implementation of digital badges in higher education,” Int. J. Educ. Technol. High. Educ., vol. 16, no. 1, 2019, doi: 10.1186/s41239-019-0175-9.[9] J. Lau, “Digital Badge Metadata: a case study in quality assurance,” Journal of Innovation in Polytechnic Education 3.1, pp. 27–36, 2021.[10] “Badge Architectures in Engineering Education - Blueprints and Challenges,” in Proceedings of the 5th International Conference on Computer Supported Education

Conference Session

Mathematics Division (MATH) Technical Session 3

Collection

2024 ASEE Annual Conference & Exposition

Authors

Zenaida Aguirre Munoz Ph.D., University of California, Merced; Melissa Almeida, University of California, Merced; Comlan de Souza, California State University, Fresno; Keith Collins Thompson, University of California Merced; Khang Tran, California State University, Fresno; Yue Lei, University of California, Merced; Erica M Rutter, University of California, Merced; Lalita G Oka, California State University, Fresno; Maribel Viveros, University of California Merced; Bianca Estella Salazar, University of California, Merced; Changho Kim, University of California, Merced

Tagged Topics

Diversity

Tagged Divisions

Mathematics Division (MATH)

, synthesis, reflection, and evaluation of thematerial being taught [38]. This approach includes a range of teaching methods such as briefreflective writing assignments, think-pair-share activities, flipped classroom models, inquiry-based learning, and cooperative learning strategies. These methods not only enhance students'engagement and personal commitment to their studies but also improve motivation, enjoyment,depth of learning, critical thinking abilities, as well as retention rates and academic performancein classroom settings. Classrooms that offer students the chance to engage in mathematicalInterest & Engagement Tactics for Success 5exploration, communication, and collaborative