Conference Session

Integrating Math, Science and Engineering

Collection

2008 Annual Conference & Exposition

Authors

Josue Njock-Libii

Tagged Divisions

Mathematics

and research, WorldTransactions on Engineering and Technology Education, Vol.5, No. 1, 2006, pp. 175-178.5. Josué Njock Libii, Demonstration of viscous damping in the undergraduate laboratory, AmericanJournal of Physics, 68 (2), 2000, pp. 195 -198. Page 13.1364.11

Conference Session

Mathematics Division Technical Session 4

Collection

2018 ASEE Annual Conference & Exposition

Authors

Andrew H. Phillips, Ohio State University

Tagged Divisions

Mathematics

Graduate Teaching Associate for the Fundamentals of Engineering for Honors program, he is heavily involved with developing and teaching laboratory content, leading the maintenance of the in-house robotics controller, and managing the devel- opment of the robotics project. c American Society for Engineering Education, 2018 Technology’s Role in Student Understanding of Mathematics in Modern Undergraduate Engineering CoursesAbstractThis paper seeks to identify important implications on the use of technology in the teaching ofmathematics in modern undergraduate engineering courses. These are used to create a big pictureof the current situation of engineering mathematics teaching

Conference Session

Mathematics: Recruitment and Retention

Collection

2009 Annual Conference & Exposition

Authors

Sabina Jeschke, University of Stuttgart; Ndjeka Manya

Tagged Divisions

Mathematics

AC 2009-2471: THE ROLE AND POTENTIAL OF VISUALIZATION IN THEMATHEMATICAL EDUCATION OF ENGINEERSSabina Jeschke, University of Stuttgart Institute of Information Technology Services, sabina.jeschke@rus.uni-stuttgart.deNdjeka Esther Manya, Berlin University of Technology (TU Berlin) Institute of Mathematics, manya@math.tu-berlin.de Page 14.1248.1© American Society for Engineering Education, 2009

Conference Session

Computers and Software in Teaching Mathmatics

Collection

2011 ASEE Annual Conference & Exposition

Authors

Lin Li, Prairie View A&M University; Yonggao Yang, Prairie View A&M University

Tagged Divisions

Mathematics

AC 2011-2537: ENHANCE ENGINEERING COLLEGE MATH TEACH-ING WITH GAMING AND VIRTUAL REALITY LEARNING MODULESLin Li, Prairie View A&M University Dr. Lin Li is an assistant professor in the Department of Computer Science at Prairie View A&M Uni- versity. He received his Ph.D. in Computer Science from the University of Nebraska-Lincoln in 2004. Before that, he received his B.S. and M.E. from Beijing Institute of Technology and Chinese Academy of Sciences, in 1996 and 1999, respectively. His research interests include Computer Networks, Educational Technology, and Web Applications and Information Management. His research has been supported by NSF, DOE, etc.Yonggao Yang, Prairie View A&M University Dr

Conference Session

Mathematics Division Technical Session 4

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jennifer Vandenbussche, Southern Polytechnic State University; William George Griffiths IV, Southern Polytechnic State University; Christina R Scherrer, Southern Polytechnic State University

Tagged Divisions

Mathematics

is an Associate Professor of Mathematics at Southern Polytechnic State University. His research interests include enumerative combinatorics, permutation pattern avoidance, and the scholarship of teaching and learning.Dr. Christina R Scherrer, Southern Polytechnic State University Christina Scherrer is an Associate Professor of industrial engineering technology at Southern Polytechnic State University. Her research interests are in the application of operations research and economic decision analysis to the public sector and in assessing education innovation. She teaches primarily statistics and logistics courses, at both the undergraduate and graduate level. She received her Ph.D. in industrial engineering from

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

James E. Lewis, University of Louisville; Jeffrey Lloyd Hieb, University of Louisville

Tagged Divisions

Mathematics

Paper ID #6940Using MyMathLab for Learning Reinforcement in the Classroom and Atten-dance Data for Engineering CalculusDr. James E. Lewis, University of Louisville Dr. James E. Lewis, Ph.D. is an Assistant Professor in the Department of Engineering Fundamentals in the J. B. Speed School of Engineering at the University of Louisville. His research interests include parallel and distributed computer systems, cryptography, engineering education, undergraduate retention, and technology (Tablet PCs) used in the classroom.Jeffrey Lloyd Hieb, University of Louisville Dr. Jeffrey L. Hieb is an Assistant Professor with the

Conference Session

Mathematics Division Technical Session 1

Collection

2017 ASEE Annual Conference & Exposition

Authors

Sandra Nite, Texas A&M University; G. Donald Allen, Texas A&M University; Ali Bicer, Texas A&M University; Jim Morgan, Charles Sturt University; Vanessa Mae Warren, Texas A&M University; Luciana Barroso, Texas A&M University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

online textbook. They were given the MPE again at the end of the program. Ifthey increased their scores to meet the cut score of 22 out 33 correct, they were permitted toenroll in engineering calculus I. This study examines their responses to the surveys during thebridge program and their grades, including any correlations that exist among the variables.IntroductionAs technology advances continue to grow rapidly, there remains a need for a diverse engineeringworkforce throughout the world. Most engineering majors rely on a strong mathematicsfoundation. Specifically, being successful on college calculus courses has been crucial to earn anengineering degree [1]. However, most engineering freshmen entered college without havingnecessary

Conference Session

Mathematics Division Technical Session 2

Collection

2016 ASEE Annual Conference & Exposition

Authors

Aaron Brakoniecki, Boston University; Michael Ward, Boston University; Gretchen Fougere, Boston University

Tagged Divisions

Mathematics

Paper ID #16670Using the Engineering Design Process to Complement the Teaching and Learn-ing of MathematicsDr. Aaron Brakoniecki, Boston University Dr. Aaron Brakoniecki is a Lecturer at Boston University. His research focuses on preservice teachers’ uses of technology (specifically, the Internet) to support their learning of mathematics. He is also involved with the Noyce BEST project at BU, which focuses on training engineers to become mathematics teachers in high needs classrooms.Mr. Michael Ward, Boston University Michael Ward is currently entering his senior year of Mechanical Engineering while simultaneously earn

Conference Session

First-Year Programs Division - Visualization and Mathematics

Collection

2018 ASEE Annual Conference & Exposition

Authors

Kristen L. Sanford Bernhardt P.E., Lafayette College; Mary Roth P.E., Lafayette College

Tagged Divisions

First-Year Programs, Mathematics

introductory first year engineering course. Dr. Sanford Bernhardt serves on the American Society of Civil Engineers’ Task Committee on the 3rd Edition of the Civil Engineering Body of Knowledge and the Transportation Research Board Committee on Education and Training. She previously has served as vice-chair of the ASCE Infrastructure Systems Committee, chair of the ASEE’s Civil Engineering Division, and a member of the Transportation Research Board committees on Artificial Intelligence and Advanced Computing, Asset Management, and Emerging Technology for Design and Construction. She received her Ph.D. and M.S. from Carnegie Mellon University, and her B.S.E. from Duke University.Dr. Mary Roth P.E., Lafayette College Mary

Conference Session

Mathematics Division Technical Session 2

Collection

2016 ASEE Annual Conference & Exposition

Authors

Gustavo Moran, Clemson University; Lisa Benson, Clemson University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Paper ID #15276Effects of an Intensive Mathematics Course on Freshmen Engineering Stu-dents’ Mathematics Anxiety PerceptionsGustavo Moran, Clemson University Gustavo Moran is a graduate student in the Science and Engineering Education Department at Clemson University. He has a B.A. degree from the Instituto Tecnologico de Durango in Engineering Computing Systems and M.S. degree from CIMAV in Technology CommercializationDr. Lisa Benson, Clemson University Lisa Benson is an Associate Professor of Engineering and Science Education at Clemson University, with a joint appointment in Bioengineering. Her research focuses on the

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

Committee of Educational Researchers. She is the President of the Executive Committee and Member of the Network of Centers for Research in Mathematics Education (2014-2016). Since 2009, she has coordinated the faculty academy of differential equations in the Mathematics Department (ITESM Campus Monterrey). She is a thesis advisor and professor in the graduate programs of Education and Ed- ucational Technology and in the PhD program in Education at ITESM’s Virtual University School of Education Her interests are the teaching and learning of mathematics for future engineers through model- ing and technological applications and the construction of a bridge between the discipline of mathematics education and the community of

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

Paper ID #29406Calculus Readiness and Retention Rates for Homeschooled Students in aFour Year Engineering ProgramDr. Danielle Marie Fredette, Cedarville University Danielle Fredette received her Ph.D. degree from The Ohio State University’s College of Engineering (Columbus, OH) in 2017, her M.S. also from The Ohio State Univeristy in 2016, and her B.S.E.E. from Cedarville University (Cedarville, OH) in 2012, during which time she participated in research as an intern at the Air Force Institute of Technology at Wright Patterson Air Force Base, OH, in the Radar Instrumentation Lab. While researching for her Ph.D, she was a

Conference Session

Mathematics Division Technical Session 4

Collection

2017 ASEE Annual Conference & Exposition

Authors

Gavin Duffy, Ohio State University; Sheryl A. Sorby, Ohio State University; Austin Mack, Ohio State University; Brian Bowe, Dublin Institute of Technology

Tagged Topics

Diversity

Tagged Divisions

Mathematics

Paper ID #20036Performance by Gender on University Placement Tests in Mathematics andSpatial SkillsMr. Gavin Duffy, Ohio State University For the current academic year I am a visiting scholar at Ohio State University with my home institute being Dublin Institute of Technology where I am a lecturer in the School of Electrical & Electronic Engineering. AT OSU I am working on a research project that is investigating the relationship between spatial ability and problem solving in engineering education. Before joining academia I worked in industry as a chemical engineer and control systems engineer and those are the topics

Conference Session

Mathematics Division Technical Session 1

Collection

2017 ASEE Annual Conference & Exposition

Authors

Jeffrey Lloyd Hieb, University of Louisville; William B. Corley, University of Louisville; Jaqi C. McNeil, University of Louisville

Tagged Topics

Diversity

Tagged Divisions

Mathematics

engineering mathematics courses and continuing his dissertation research in cyber security for industrial control systems. In his teaching, Dr. Hieb focuses on innovative and effective use of tablets, digital ink, and other technology and is currently investigating the use of the flipped classroom model and collaborative learning. His research in cyber security for industrial control systems is focused on high assurance field devices using microkernel architectures.Mr. William B. Corley, University of Louisville William B. Corley, M.S., is the graduate research assistant on this project. He is an experimental psychol- ogy graduate student with the Department of Psychological and Brain Sciences at University of Louisville

Conference Session

Mathematics Division Technical Session 3

Collection

2016 ASEE Annual Conference & Exposition

Authors

Edmund Tsang, Western Michigan University; Kenneth David Domingue, Western Michigan University ; Sarah Gray Hagen, Western Michigan University; Rebecca A. Scheffers, Western Michigan University; Lenore Yaeger; Katherine Fox, Western Michigan University

Tagged Divisions

Mathematics

Algebra IIin no more than two attempts before they can advance into Pre-Engineering, Pre-EngineeringTechnology, or Computer Science. The Pre-Engineering and Pre-Engineering Technologycurricula consist of a set of courses normally taken by students during the first four semestersof the curricula. When students complete the pre-programs with a grade of C or higher in allthe course work, they can apply and be admitted into the professional programs. There arecurrently no established enrollment limits for admission to CEAS professional programs.This paper should be of interest to other engineering, engineering technology, and appliedscience programs with similar student demographics as WMU, because the engineeringmathematics course, the CEAS-EXEP

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Janet Callahan; Joe Guarino, Boise State University; Seung Youn Chyung, Boise State University; John Gardner, Boise State University; Amy Moll, Boise State University; Pat Pyke, Boise State University; Cheryl Schrader, Boise State University

Tagged Divisions

Mathematics

Professor in the Mechanical and Biomedical Engineering Department at Boise State University. His research interests include simulation modeling for engineering education, vibrations, and acoustics.Seung Youn Chyung, Boise State University Dr. Yonnie Chyung is an Associate Professor in the Department of Instructional and Performance Technology at Boise State University. She received her Doctor of Education degree in Instructional Technology from Texas Tech University, and her Master’s degree in Curriculum and Instruction, with a specialization in Computer-based Education, from Southern Illinois University, Carbondale, IL. Her research interests have been focused on the development of self

Conference Session

Changing the Classroom Environment in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

Robert Talbert, Grand Valley State University

Tagged Divisions

Mathematics

, engineers will need something that cannot be described in a single word. In involves dynamism, agility, resilience, and flexibility. […] Encompassed in this theme is the imperative for engineers to be lifelong learners. They will need this not only because technology will change quickly but also because the career trajectories of engineers will take on many more directions – directions that include different parts of the world and different types of challenges and that engage different types of people and objectives. Hence, to be individually/personally successful, the engineer of 2020 will learn continuously throughout his or her career, not just about engineering but also about history, politics, business, and so forth

Conference Session

Mathematics Division Technical Session 2

Collection

2017 ASEE Annual Conference & Exposition

Authors

Guo Zheng Yew, Texas Tech University; Aimee Cloutier, Texas Tech University; Stephen Michael Morse, Michigan Technological University; Audra N. Morse, Texas Tech University

Tagged Divisions

Mathematics

Paper ID #19659Are Better Teaching Methods the Answer to Improved Math Proficiency orAre We Simply Barking Up the Wrong Tree?Mr. Guo Zheng Yew, Texas Tech University Guo Zheng Yew is doctoral candidate in civil engineering at Texas Tech University with a focus on finite element analysis and glass mechanics. Prior to his graduate work in the United States, he obtained his Bachelor’s degree from Malaysia and has participated in research projects involving offshore structures in Malaysia. As a graduate part-time instructor at Texas Tech University, he teaches an introductory course in engineering to freshmen undergraduate

Conference Session

The Use of Games and Unique Textbooks in Mathematics Education

Collection

2014 ASEE Annual Conference & Exposition

Authors

David Reeping, Ohio Northern University; Kenneth J. Reid, Ohio Northern University

Tagged Divisions

Mathematics

problems involving the engineering design process, criticaland creative thinking, and technology applications (such as JMP, Pspice, TI Calculator software,CAS) are planned for inclusion.The textbook offers an authentic opportunity to tie content to the Next Generation ScienceStandards and Common Core standards in Mathematics. Authentic examples provide a realisticcontext in, for example, "Defining and Delimiting Engineering Problems" (NGSS) and "Modelwith mathematics," from the Standards of Mathematical Practice in the Common Core,Mathematics standards 3,4.Reflection on Mathematics Textbooks Before DevelopmentTextbooks have been the common tools for communicating mathematics to students alongsidethe demonstration of practice problems on the board

Conference Session

Mathematics Division Technical Session 3: Diversity in Mathematics Education

Collection

2020 ASEE Virtual Annual Conference Content Access

Authors

Shuvra Das, University of Detroit Mercy; Kirstie A. Plantenberg, University of Detroit Mercy

Tagged Topics

Diversity

Tagged Divisions

Mathematics

.Although pre-calculus is what most students are expected to have completed, in the first two yearsdifferent advisors have allowed students with a lower level of preparedness to be in this class. Wehave since then tightened this up so that poorly prepared students are put in other mathematicsclasses prior to them taking Engr 1234. It is still too early to conclusively state if this course ishelping with retention and we will continue to monitor retention data for the next few years tomeasure the impact.References 1. Felszeghy, Stephen F. On Reforming the Teaching of Calculus to Engineering Students at CSULA, College of Engineering, Computer Science, and Technology California State University, Los Angeles, February 8, 2010. 2. Lavelle

Conference Session

Mathematics Division Technical Session 3

Collection

2013 ASEE Annual Conference & Exposition

Authors

Jeremiah J. Neubert, University of North Dakota; Deborah Worley, University of North Dakota; Naima Kaabouch, University of North Dakota; Mohammad Khavanin, Professor of Mathematics at University of North Dakota

Tagged Divisions

Mathematics

below.ModulesEach module contains two real world engineering problems that can be solved using conceptsfrom calculus. The problems appeal to a broad, diverse group of students. Specifically, theproblems emphasize the ways in which engineers improve society in a direct and observable way.These topics include how engineers are improving living conditions in underdeveloped countries,and creating the technology needed to generate inexpensive, green energy.The module problems are constructed so that students with no engineering background can solvethem. Each begins with a brief description of the problem and the background informationneeded to solve it, followed by two to five questions that guide students though the problemsolving process. It is important to

Conference Session

Innovative Instructional Strategies and Curricula

Collection

2010 Annual Conference & Exposition

Authors

Jayathi Raghavan, Embry-Riddle Aeronautical University, Daytona Beach; Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach

Tagged Divisions

Mathematics

develop abilities in critical thinking, problem solving, written and oral communication, quantitative analysis, leadership and teamwork, ethics and values awareness, and information technology b. The student will acquire a strong background in applied mathematics with an emphasis on computational methods c. The student will acquire a foundation in physics, computing tools and engineering science necessary to understand how each relates to realistic applications in at least one science application area d. The student will be exposed to computational applications in the sciences and engineering. The student will learn how to synthesize the mathematics, computing, physics, and engineering to

Conference Session

Innovative Instruction Strategies

Collection

2006 Annual Conference & Exposition

Authors

Jonathan Lambright, Savannah State University

Tagged Divisions

Mathematics

equations.Students must be taught the fundamentals of developing and solving these numericalapproximations by hand. However, theory must be combined with technology and hands onpractice to emphasize the need for tools such as Matlab and Excel in solving engineeringproblems through numerical approximations. By implementing such tools in the classroom,students sharpen their programming and analytical thinking skills. In addition, students canexperience the need for and the power of these tools in solving real world problems and use theexperience to creatively think of newer ways to solve engineering problems.References[1] Hanselman, D., and Littlefield, B., “Mastering MATLAB 7: A Comprehensive Tutorial andReference”, Prentice Hall Publishers.[2] Chapra, S.C

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 3

Collection

2017 ASEE Annual Conference & Exposition

Authors

Jose R. Portillo, Universidad Galileo; Alberth E. Alvarado, Universidad Galileo ; Jorge Samayoa Ranero, Galileo University

Tagged Divisions

Mathematics

supplementary course before the beginning of their academic program. A drawback ofthis approach is that those students are usually delayed by a semester at the beginning of theircareer. Moreover, those remedial courses do not count towards their degree, and the students donot put a significant effort into them, since the only reward is being able to take the firstmathematics course towards their degree.Galileo University is a private university in Guatemala, which was originally founded as aninstitute of engineering and computer science. It stands out due to its technological approach inhigher education, offering multiple specializations within engineering. Over the past severalyears, Galileo University has put significant effort into improving the

Collection

2016 ASEE Annual Conference & Exposition

Authors

Emre Tokgoz, Quinnipiac University

Tagged Divisions

Mathematics

Paper ID #14461Evaluation of Engineering & Mathematics Majors’ Riemann Integral Defini-tion Knowledge by Using APOS TheoryDr. Emre Tokgoz, Quinnipiac University Emre Tokgoz is currently an Assistant Professor of Industrial Engineering at Quinnipiac University. He completed a Ph.D. in Mathematics and a Ph.D. in Industrial and Systems Engineering at the University of Oklahoma. His pedagogical research interest includes technology and calculus education of STEM majors. He worked on an IRB approved pedagogical study to observe undergraduate and graduate mathe- matics and engineering students’ calculus and technology

Conference Session

Mathematics Division Technical Session 2

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Mary Katherine Watson, The Citadel; Tara Hornor, The Citadel; William J. Davis P.E., The Citadel; Simon Thomas Ghanat P.E., The Citadel

Tagged Divisions

Mathematics

Paper ID #34797Impacts of Mentoring on Math and Leadership Self-Efficacy Among CivilEngineering StudentsDr. Mary Katherine Watson, The Citadel Mary Katherine Watson is currently an Associate Professor of Civil and Environmental Engineering at The Citadel. She holds BS and MS degrees in Biosystems Engineering from Clemson University and a PhD in Environmental Engineering from The Georgia Institute of Technology. She enjoys, and has invested significantly, in the development of her undergraduate students, serving as past faculty advisor for numerous student groups. Dr. Watson is passionate about improving access to

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Daniel Raviv, Florida Atlantic University

Tagged Divisions

Mathematics

innovation, and innovative thinking. He is a co-holder of a Guinness World Record. His new book is titled: ”Everyone Loves Speed Bumps, Don’t You? A Guide to Innovative Thinking.” Dr. Daniel Raviv received his Ph.D. degree from Case Western Reserve University in 1987 and M.Sc. and B.Sc. degrees from the Technion, Israel Institute of Technology in 1982 and 1980, respectively. c American Society for Engineering Education, 2018 Have you seen an integral? Visual, intuitive and relevant explanations of basic engineering-related mathematical concepts Daniel Raviv Department of Computer & Electrical

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

about computing inthe context of authentic practices. Computers in Human Behavior, 61, 427-442.[3] Pennell, S., Avitabile, P. and White, J. (2009). An engineering-oriented approach to theintroductory differential equations course. PRIMUS, 19 (1), 88-99. DOI:10.1080/10511970701474111.[4] Burton, L., Falk, L. and Jarner, S. (2004). "Too Much, Too Seldom." International Journalof Mathematical Education in Science and Technology, 35, 219-226.[5] Saldaña, J. and Omasta, M. (2018). Qualitative Research: Analyzing Life. (Chapters 4 and 5:analytic coding of transcribed interviews.) Los Angeles: Sage.Appendix A: Mathematics Faculty Semi-Structured Interview ProtocolWhat mathematics courses that may support the engineering curriculum have you taught in

Conference Session

The Use of Computers in Teaching Mathematics

Collection

2008 Annual Conference & Exposition

Authors

Jayathi Raghavan, Embry-Riddle Aeronautical University, Daytona Beach; Leslie Sena, Bethune Cookman College; Hong Liu, Embry-Riddle Aeronautical University, Daytona Beach; David Bethelmy, Bethune Cookman College

Tagged Divisions

Mathematics

purpose of the modules is to introducemathematical concepts through modeling real-world applications and is intended to develop thestudents’ ability to generalize a concept and to work with models of varying abstraction. Theauthors represent an interdisciplinary team contributing expertise from the fields of mathematics,computational science, and teacher education.IntroductionPostmodern technology is characterized by great complexity and demands tremendous modelingand abstraction capabilities. For students to be successful in most engineering program, theyshould be able to apply the mathematics to model this complexity1,2. Problem-solvingexperiences have been advocated for decades in numerous textbooks, reference articles, andteaching