Conference Session

Mathematics Division Technical Session 1

Collection

2015 ASEE Annual Conference & Exposition

Authors

Michael P. Hennessey, University of St. Thomas

Tagged Divisions

Mathematics

technical papers (published or accepted), in either journals (11), conference proceedings (33), or in magazines (1). He also actively consults with industry and is a member of ASME, SIAM and ASEE. Page 26.161.1 c American Society for Engineering Education, 2015 Advanced Undergraduate Engineering MathematicsAbstractThis paper presents the details of a course on advanced engineering mathematics taught severaltimes to undergraduate engineering students at the University of St. Thomas. Additionally, itprovides motivation for the selection of different topics and showcases related numerical

Conference Session

Mathematics Division Technical Session 1

Collection

2015 ASEE Annual Conference & Exposition

Authors

Janet Callahan, Boise State University; Judith A. Garzolini, Boise State University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

. Garzolini, Boise State University Judith (Jude) Garzolini is the National Science Foundation (NSF) Grant Project Manager for the Idaho STEP grant at Boise State University. She is responsible for managing the $1 Million grant to plan and implement activities focused on increasing the throughput of graduates in Science, Engineering, and Mathematics. During her over 23-year career in industry she worked for Hewlett-Packard Company where she contributed as both an R&D project manager and program manager in the disk drive and printing supplies businesses. Jude received a B.S. in Chemical Engineering from Wayne State University and a Master of Business Administration from the University of California, Davis. She was

Conference Session

Mathematics Division Technical Session 1

Collection

2015 ASEE Annual Conference & Exposition

Authors

Angela Minichiello, Utah State University; Ted Campbell, Utah State University; Jim Dorward, Utah State University; Sherry Marx, Utah State University

Tagged Divisions

Mathematics

thematic analysis of narrative data to understand the waysin which contextual factors may influence pedagogical change.  Introduction Amid increasing calls for science, technology, engineering, and mathematics (STEM)pedagogical transformation1, 24 and growing concerns over the lack of transfer of research-basedinstructional strategies to STEM23, 24 classrooms, several scholars2,3,12 advocate for a deeperunderstanding of instructional change within STEM disciplines. Henderson et al.12 summarizedthe situation saying, “the state of change strategies and the study of changes strategies are weakand …research communities that study and enact change are largely isolated from one-another”(p. 1). Borrego and Henderson3 suggested that efforts toward

Conference Session

Mathematics Division Technical Session 1

Collection

2015 ASEE Annual Conference & Exposition

Authors

Gunter Bischof, University of Applied Sciences Joanneum, Graz; Andreas Zwölfer, University of Applied Sciences Joanneum, Graz; Domagoj Rubeša, University of Applied Sciences Joanneum, Graz

Tagged Topics

Diversity

Tagged Divisions

Mathematics

structure their lectures to accommodate to the students’ mathematics preparedness thatmight be varying from year to year.The test comprises about a dozen problems that have to be solved without the help of pocketcalculators. They cover essentially standard high school mathematics problems, supplementedby a few questions that go beyond the average high school mathematics curricula.Some typical tasks are: 1 1 − x y • Basic algebra: Simplify a compound fraction like y 1

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Peter Goldsmith P.Eng., University of Calgary

Tagged Divisions

Mathematics

setting of abstract algebra, the theory is presentedhere in a less general but more accessible manner. We also introduce some new concepts andconstructs that increase its utility and pedagogical value. These include relation diagrams (thecounterpart of traditional block diagrams) and impedance relations. Examples illustrateapplications of the theory and its potential benefits for engineering education.1 IntroductionEngineers use problem solving to invent, design, build, and improve structures, machines,devices, systems materials, and processes. Thus, a central goal of engineering education is todevelop the problem solving abilities of students. Since mathematics is the basis for modeling,reasoning, and communicating solutions of technical

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Virgil U. Pierce, University of Texas, Pan American; Javier Angel Kypuros, University of Texas, Pan American

Tagged Topics

Diversity

Tagged Divisions

Mathematics

benefits we aim to show are improved engineering readiness, reduced time-to-graduation,and improved performance in gatekeeper courses. In this report we show the results of the firstcohort, which did improve the Calculus placement for most students and were significantly moresuccessful at doing so than a traditional Pre-Calculus class, although the subsequentimprovement in performance in the Calculus 1 course was not statistically significant.KeywordsMathematics Placement, Emporium Models.IntroductionThe University of Texas – Pan American is a minority serving institution in Texas. The studentpopulation is predominantly made up of students from the local region, which includes two of

Conference Session

Mathematics Division Technical Session 3

Collection

2015 ASEE Annual Conference & Exposition

Authors

Seunghyun Chun, California Baptist University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

strong science, technology, engineering, and math (STEM) workforce is essential and critical in advancing the economy and society of the future. But the U.S continues to trail the world in math and science. And also the number of U.S students pursuing a STEM career or educating is decreasing as mentioned in [1] – [3]. A change in the way math is taught and presented in the classroom is urgently needed. Instructors need to be able to engage the students in learning by communicating that the study of mathematics and its objective is not to study math for math sake but to be able to apply it as a tool to solve the world’s complex and essential problems. The topic of sustainable energy is no longer a topic reserved for scientists and

Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University

Tagged Divisions

Mathematics

iscategorized as inter-level. Students’ trans-level triad classification is based on their abilityto answer the question correctly in the entire domain. Page 26.213.6 The Question The following question is designed to observe participants’ ability to transform analgebraic function from to its geometric/graphical representation by calculating the relatedlimit and derivative questions. A2G Problem: Please draw the graph of f ( x) = xx+1 at (e) below by finding and applyingeach of the following information if they are applicable.a) Vertical and horizontal asymptotes of f(x) and limiting values of f(x) at the vertical asymptotes if there exists any

Conference Session

Mathematics Division Technical Session 3

Collection

2015 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University; Gabriela C. Gualpa, Quinnipiac University

Tagged Divisions

Mathematics

). Page 26.1396.6Sketching A Curve: Please draw a graph of a function that verifies all of the given informationbelow. Write the necessary values on the coordinate axis. lim f ( x) = 0, lim f ( x ) = 0 , x → −∞ x →∞ lim f ( x ) = −∞ , lim f (x) = ∞ , x→ −3− x→ −2+ Vertical asymptotes at x = − 3 and x = 2 , Horizontal asymptote at y = 0 , f ′( − 2 ) < 0 , f ′ (1 ) < 0 , f ′′ ( x ) < 0 when x < − 3

Conference Session

Mathematics Division Technical Session 3

Collection

2015 ASEE Annual Conference & Exposition

Authors

Eliud Quintero, Tecnologico de Monterrey (ITESM); Patricia Salinas, Tecnologico de Monterrey (ITESM)

Tagged Topics

Diversity

Tagged Divisions

Mathematics

de Monterrey. Edu- cational researcher with interest in the integration of technology for the learning of Mathematics. With a Bachelors Degree in Mathematics and 2 Masters Degrees, in Education with Mathematics Specializa- tion. PhD in Mathematics Education since 2011. Member of the National System of Researchers SNI 1, CONACYT, M´exico. Co-author of several textbooks for the teaching and learning of Calculus. Page 26.1556.1 c American Society for Engineering Education, 2015 The linear motion as a scenario for addressing relations between a function

Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Doug Bullock, Boise State University; Janet Callahan, Boise State University; Susan E. Shadle Ph.D., Boise State University

Tagged Divisions

Mathematics

research summarized byBressoud, et. al.3Boise State University’s efforts have been successful because we identified and capitalized ontwo important sources of momentum: 1) efforts to reframe calculus content and 2) facultydevelopment supporting calculus instructors. In 2010 we were awarded a National ScienceFoundation Science Talent Expansion Program grant, specifically aimed at increasing STEMgraduates by improving first-time, full-time student retention. One of the elements of the projectwas the support of three, year-long, STEM-specific faculty learning communities (FLCs) (e.g.see Cox, 2001).4 Based on interest from numerous math faculty, coupled with Calculus Ileadership by one of the co-PIs on the grant, the latter two FLCs became exclusively

Conference Session

Mathematics Division Technical Session 3

Collection

2015 ASEE Annual Conference & Exposition

Authors

Ruth Rodríguez-Gallegos, Tecnologico de Monterrey (ITESM); Rafael Ernesto Bourguet-Diaz, Tecnologico de Monterrey (ITESM)

Tagged Topics

Diversity

Tagged Divisions

Mathematics

InternationalStudent Assessment (PISA) [1] states the need to train people with the future skills such asmathematical literacy. PISA [1] defines mathematical literacy as the capacity to identify, tounderstand, and to engage in mathematics and to make well-founded judgments about the rolethat mathematics plays, as needed for an individual’s current and future private life, occupationallife, social life with peers and relatives, and life as a constructive, concerned, and reflectivecitizen. Subsequently, more specific studies [2] [3] aimed at a very specific population, futureengineers, have made explicit the prevailing need for the basic individual education taking intoaccount the fact that they should develop generic skills that complement and reinforce the

Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Patricia Salinas, Tecnologico de Monterrey (ITESM); Eliud Quintero, Tecnologico de Monterrey (ITESM); Pablo Guillermo Ramirez, Tecnologico de Monterrey (ITESM); Eduardo González Mendívil, Tecnologico de Monterrey (ITESM)

Tagged Divisions

Mathematics

Paper ID #12300Fostering Spatial Visualization through Augmented Reality in Calculus learn-ingDr. Patricia Salinas, Tecnologico de Monterrey (ITESM) Full time Professor at Mathematics Department in Campus Monterrey, Tecnol´ogico de Monterrey. Edu- cational researcher with interest in the integration of technology for the learning of Mathematics. With a Bachelors Degree in Mathematics and 2 Masters Degrees, in Education with Mathematics Specializa- tion. PhD in Mathematics Education since 2011. Member of the National System of Researchers SNI 1, CONACYT, M´exico. Co-author of several textbooks for the teaching and learning

Conference Session

Mathematics Division Technical Session 3

Collection

2015 ASEE Annual Conference & Exposition

Authors

Christine Lindstrøm, Oslo and Akershus University College

Tagged Divisions

Mathematics

remote tutoring, a format the cousins foundparticularly helpful, as they could watch, replay and pause the explanations at their own pace.However, the availability on YouTube quickly made the videos a popular resource amongthousands of other students searching for online mathematics resources.1 This was thebeginning of Khan Academy, a free online learning resource comprising short videos on awide range of academic subjects, now ranging from mathematics to economics and history. In2010, KA received funding from private benefactors, Google and the Bill & Melinda GatesFoundation to form a non-profit organisation with a mission to provide "a free, world-classeducation for anyone, anywhere."2The mathematics module of KA is particularly well

Conference Session

Mathematics Division Technical Session 2

Collection

2015 ASEE Annual Conference & Exposition

Authors

Khalid El Gaidi, Royal Institute of Technology (KTH); Tomas Ekholm, Royal Institute of Technology (KTH)

Tagged Divisions

Mathematics

show proficiency in abstractconceptual understanding in mathematics. 1 Diagnostic tests administered at the beginning ofengineering programs at a mid-sized Swedish University have shown declining results during thelast decade, a trend shared with other western countries. This substantially lowers the pass ratesand overall grades in mathematical courses and creates problems in the subsequent courses inscience and technology. Furthermore, it causes attrition and considerably delays graduation formany students with consequences for the individual and society at large. Page 26.401.2Students may be unprepared for abstract thinking in mathematics for

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Judith A Komar, Colorado Technical University; Tonya Troka, Colorado Technical University

Tagged Divisions

Mathematics

. Page 26.923.1 c American Society for Engineering Education, 2015 Improving Performance in College Algebra Using TechnologyHistory/Problem Statement College algebra has historically been a challenge for Colorado Technical University(CTU) and across higher education. It is the main introductory math course that college studentstake, but it has low success rates.1 Mayes specifically calls for a change in the college algebraapproach. “The traditional focus on skill development is failing, resulting in withdrawal andfailure rates that are excessive” 2(p. 63). In January of 2012, nearly half of all students at thisCTU who took college algebra failed. An additional 30% withdrew from the course

Conference Session

Mathematics Division Technical Session 4

Collection

2015 ASEE Annual Conference & Exposition

Authors

Ravi T. Shankar, Florida Atlantic University; Jean Lapaix, Florida Atlantic University; Charles Perry Weinthal; Don Ploger, Florida Atlantic University; Malissa Augustin, Florida Atlantic University; Santiago Aguerrevere

Tagged Divisions

Mathematics

interest in pursuing in college and as a career. But there is adichotomy - mathematics is a precise science, and any problem solving engineering paradigmprovides an optimal (or near optimal) solution. Anyone with an engineering perspective learns toappreciate this and continue to combine the two skills advantageously. However, not all studentssignificantly develop this skill when learning math in their curriculum as they may not see theconnection between the theoretical concepts in the subject and the practical problems associatedwith STEM fields. This lack of a connection could negatively affect the students’ performanceand interest in STEM. Our initial focus was to develop the robot as a tool for problem solving 1-3.We also made sure that it is