AC 2008-1657: VIDEO LECTURE ON THE PYTHAGOREAN THEORYBertram Pariser, Technical Career Institute, Inc.Cyrus Meherji, Technical Career Institute, Inc. Page 13.1383.1© American Society for Engineering Education, 2008 Video Lecture on PYTHAGOREAN THEORYAbstractPythagoras derived the famous equation a2 +b2 =c2. This discovery enabled the Greeks tobuild the Acropolis and the Parthenon. This equation is probably the most famous equation inmathematics. There are hundreds of proofs to the Pythagorean Theorem in mathematical literature.My derivation of "A GEOMETRICAL PROOF OF PYTHAGORAS’ THEOREM" 1 is difficult for ourstudents to understand. Students, who use the video
AC 2010-97: THE MATHEMATICS OF FINANCIAL MARKETSBertram Pariser, Technical Career Institute, Inc.Cyrus Meherji, Technical Career Institute, Inc. Page 15.1241.1© American Society for Engineering Education, 2010THE MATHEMATICS OF FINANCIAL MARKETS Page 15.1241.2AbstractWe are all aware of the tremendous upheaval that has taken place in the financial markets overthe last year. Well established banks and brokerage house have failed and had to be liquidated ormerged. Is it possible to model the financial markets to help understand the relationship;between the most dynamic variables, Gold, The Dow Jones Industrial Average.Using mathematics to look for
AC 2012-4138: TEACHING PYTHAGORAS’S THEOREM USING SOFT-WAREDr. Bert Pariser, Technical Career Institutes Bert Pariser is a faculty member in the Electronic Engineering Technology and Computer Science Tech- nology departments at Technical Career Institutes. His primary responsibility is developing curriculum and teaching methodology for physics, thermodynamics, electromagnetic field theory, computers, and databases. Pariser has prepared grant proposals to the National Science Foundation, which produced the funding for a Fiber Optics Laboratory. He served as Faculty Advisor to the IEEE and Tau Alpha Pi National Honor Society. Pariser was instrumental in merging Tau Alpha Pi National Honor Society into the ASEE. In
AC 2012-5124: REAL-WORLD APPLICATIONS OF MATHEMATICALAND SCIENTIFIC PRINCIPLES IN THE CURRICULUM FOR COLLEGEAND CAREER SUCCESSDr. David I. Spang, Burlington County College David Spang is the Vice President of Academic Programs at Burlington County College in Pemberton, N.J. Prior to being named Vice President, Spang served as Dean of the Science, Mathematics, and Tech- nology Division. Spang holds a Ph.D. degree in materials science and engineering and a M.B.A. degree, with a concentration in innovation and technology management. Prior to joining academia, Spang spent nearly 20 years in R&D and business development.Dr. Kathleen Spang, Middlesex Boro High School Kathleen Spang has been a high school educator for
engineeringstudents’ engineering coursework and future careers?To what extent does computation within mathematics education contribute to engineeringstudents’ proficiency with domain-specific computing paradigms in the engineering curriculum?Methods 1Participants in the study included mathematics faculty and students in upper-divisionmathematics courses at two western United States public universities housing ABET-accreditedengineering programs, referred to when necessary as universities I and II. The data reported weregathered during the fall of 2019.Faculty participants. Mathematics faculty members who were currently teaching or untilrecently had taught upper
companies, businesses, and government labs. These projects serve to motivate studentsto study mathematics and prepare them for interdisciplinary work in their careers. With fundingfrom NSF, SIAM, the GE Foundation, the Alfred P. Sloan Foundation and Intel, severalvertically integrated educational programs have been developed.IntroductionThe demand for professionals capable of modeling and simulating emerging technologies hasdramatically increased in recent years. As mathematics becomes more complex, and thenumerical modeling more sophisticated, the need for mathematically trained professionals isincreasing. Modeling, analysis, and computations performed by mathematicians in collaborationwith other professionals can provide technical advantages and
engineering design challenge and pattern-based mathematicsgames. The value of exploratory game playing in the development of mathematicalreasoning was clearly observed as well as its role in engaging students fromunderrepresented groups. It is recommended that future programs of this nature alsoinclude a measurement of gains in student critical thinking that result from such gameplaying.IntroductionThe need to recruit more students to pursue degrees and careers in science, technology,engineering, and mathematics (STEM) is well established. Within the next decade,STEM-based jobs are expected to grow at a rate of 17%, and it is expected that about onemillion additional STEM graduates will be needed to fill these jobs. Furthermore, abouttwelve million
STEM-related subjects. It must be remembered that the interest in STEMeducation and careers varies from personal reasons to conditions outside the control of potentialand current students. The Pew Research Center did a survey in 2017 and found that 52% of thesurveyed adults agree that the STEM-based curriculum for today’s youth (around 21%-24%) wastoo hard for them [5]. These courses normally became hard between the ages of thirteen toseventeen [6]. Other reasons included that STEM education did not relate to their career goals orit did not catch their interest. Due to the indifference in these subjects, these students flocked toother subjects. In 2009, a report showed that two competing subjects against STEM were visualand performing arts
AC 2011-405: FACTORS IMPACTING POOR PERFORMANCE IN PRECALCULUSPaul J. Kauffmann, East Carolina University Paul J. Kauffmann is Professor and Chair in the Department of Engineering at East Carolina University. His industry career included positions as Plant Manager and Engineering Director. Dr.Kauffmann received a BS degree in Electrical Engineering and MENG in Mechanical Engineering from Virginia Tech. He received his Ph.D. in Industrial Engineering from Penn State and is a registered Professional Engineer in Virginia and North Carolina.Sviatoslav Archava, East Carolina University Sviatoslav Archava is a Teaching Assistant Professor at East Carolina University. Dr. Archava received a MA degree in Mathematics
. Kristin Kelly Frady, Clemson University Kris Frady is an Assistant Professor in the Departments of Educational and Organizational Leadership and Development and Engineering and Science Education at Clemson University and Faculty Director for Clemson University Center for Workforce Development (CUCWD) and the National Science Foundation Advanced Technological Education Center for Aviation and Automotive Technological Education using Virtual E-Schools (CA2VES). Her research and experiences include implementation of digital learning solutions, development of career pathways including educator professional development, and analysis of economic development factors impacting education and workforce development.Dr. Patrick
the main function was asteep learning curve in a very short amount of time. This may account for the drop inaverage from 4.3 in 2016 to 3.1 in 2017.One of the outcomes that the new school of engineering hopes to achieve is to helpstudents identify as an engineer. This course appears to be helping with this goal with anaverage of 4.2 in 2017. Unfortunately this question was not asked of the 2016 group andtherefore there is no comparison.In Part III of the survey, students responded to the following questions using a LikertScale of 1-5: 1 = Strongly Disagree, 2 = Disagree, 3 = Neutral, 4 = Agree, 5 = StronglyAgree. The average for each question is shown in Table 4. 1. I have spent considerable time researching to decide on my career of
education by attending medical school and studying immunology. She is interested in using the problem-solving skills that she has developed in her undergrad career and applying them to health and medicine. American c Society for Engineering Education, 2021 Exploring the Relationship Between Math Anxiety, Working Memory, and ExperiencesintroductionMath anxiety has been described as “a feeling of tension, apprehension, or fear that interfereswith math performance” [1]. Math anxiety is all too common in classrooms and can be a barrierto students reaching their fullest potential by limiting their career paths [2], [3]. Studies haveshown there
to the academic and career goals of thestudent. This began the active learning process. An example of “The Frame” is illustrated in Figure 1. The student has an interest in howdiseases spread. The student’s career goal was to go into a biomedical field. The studentresearched the process and found a set of differential equations that model the spread of diseasefor a particular and general case.5,6Figure 1. “The Frame” utilized in the context of the spreading of disease. Susceptible βI Infected g Recoveredβ = transmission rate, B = birth rate, d = death rate, R0 = reproductive rate (rate that infectedpersons cause new infected persons), g = recovery rate, S, I and R are the populations of thethree
about mathematical work than other students.12The lowest mean of 2.88 shows that engineering students felt that calculus was not a usefultool they would use regularly during their engineering courses and careers. Attitudes towardmathematics indicated students’ perceptions of the usefulness of mathematics.13 Theimportance or relevance a student attaches to his/her study of mathematics is related to his/her perception of its usefulness. The usefulness of calculus for educational and career goals isone factor affecting participation in mathematics. A better understanding of the importance ofcalculus in a wide range of careers and in engineering education is important for students asthey make decisions about how much mathematics to take in
, Hidalgo, Willacy, and Starr Counties in Texas, and he has worked with a variety of issues surrounding entry level mathematics and science at two-year and four-year schools in Texas.Dr. Javier Angel Kypuros, University of Texas, Rio Grande Valley Javier Kypuros received a B.S.E. in Mechanical Engineering from Princeton University in 1996. He later received an M.S.E. and Ph.D. in Mechanical Engineering in 1998 and 2001 from The University of Texas at Austin. Javier began his career at The University of Texas at El Paso in 2001 and later joined the faculty at The University of Texas-Pan American (UTPA) in 2002. He is currently a Professor in the Mechanical Engineering Department and Associate Dean for Undergraduate
emphasizes are the time the band wants something to occur and the speed thecamera must be recording at. This spreadsheet is included in the guides paired with “The OneMoment” music video in order to connect real-world use of mathematics to the classroom. Thisshows students that math is applicable in different careers, including the music industry. Byallowing students to approach math in this way, self-efficacy for students who feel less confidentin their mathematical capabilities can increase [2]. The OK Go Sandbox educator and student guides that pair with “The One Moment”music video explore the topics of spreadsheets, analytical and theoretical data, frame rate, andslow motion. This guide is designed for students in grades 9-12 and covers
personal judgements about their abilities to achieve specific goals[11]. Indeed, some work has shown that students’ beliefs about their past achievement well-predicts their future performance [12]. Math self-efficacy refers to one’s specific beliefs aboutunderstanding math concepts and applying related skills [13]. For engineering students, mathself-efficacy is important because it may impact general engineering self-efficacy and in turnretention and performance [14-16]. The Mathematics Self-Efficacy and Anxiety Questionnaire(MSEAQ) is one instrument available for quantifying math self-efficacy. The MSEAQconsiders five dimensions of math self-efficacy, including: General Mathematics Self-Efficacy,Grade Anxiety, Future Courses/Careers, Asking In
applications ofinterest to middle school students. Although many wonderful resources are available thatprovide educators with a connection between engineering, science, mathematics, and real worldapplications, there is a need for development in support of inquiry-based engineering applicationtasks for the middle school mathematics classroom, as illustrated in Figure 1. Figure 1. Integration of Project GoalsAt the same time, narrow views of what constitutes engineering have resulted in increasinglyreduced pools of students interested in pursuing engineering as a career, a decrease ofapproximately 2,000 students from 1991 to 2002 [2,3]. This is especially true among groups,including women and minorities, who have
AC 2009-716: AN EXAMINATION OF ENGINEERING MATHEMATICS COURSESPaul Kauffmann, East Carolina University Paul J. Kauffmann is Professor and Chair in the Department of Engineering at East Carolina University. His industry career included positions as Plant Manager and Engineering Director. Dr. Kauffmann received a BS degree in Electrical Engineering and MENG in Mechanical Engineering from Virginia Tech. He received his Ph.D. in Industrial Engineering from Penn State and is a registered Professional Engineer in Virginia and North Carolina.Michael Bosse, East Carolina University Michael J. Bossé is an associate professor in the Department of Mathematics, Science, and Instructional Technology
and despitevery positive faculty and student perceptions, it is not easy to expand the set of math facultywilling to try the technology. Yet, interest in Tablet PCs (and MessageGrid) is flourishing atClemson, due to a 2007 Hewlett Packard Leadership Grant which placed Tablet PCs into amultidisciplinary technology classroom and attracted faculty from Engineering and otherdepartments willing to invest time to learn new pedagogical techniques.Introduction Approximately 20% of students in first-semester Freshman Calculus at Clemson Universityin Fall 2007 earned Ds (poor), Fs (fail) or Ws (withdraw) and either had to repeat the course orabandon their STEM career goals. This DFW rate represented nearly a 50% reduction in the ratefrom Fall 2005
Paper ID #14566Visualization of Wave Phenomena by an Array of Coupled Oscillators ¨Dr. Gunter Bischof, Joanneum University of Applied Sciences Throughout his career, Dr. G¨unter Bischof has combined his interest in science and engineering appli- cation. He studied physics at the University of Vienna, Austria, and acquired industry experience as development engineer at Siemens Corporation. Currently he teaches Engineering Mathematics at Joan- neum University of Applied Sciences. His research interests focus on automotive engineering, materials physics, and on engineering education.Mr. Thomas Singraber B.Sc., Joanneum
Paper ID #12098Improving Performance in College Algebra Using TechnologyMrs. Judith A Komar, CEC/CTU Judy Komar is Vice President of Educational Technology at Career Education Corporation (CEC), a global provider of post-secondary education programs and services. She is responsible for providing innovative technology solutions for CEC students, developing content for more than 500 new courses annually and facilitating and integrating educational technologies for more than 45 CEC campuses. She also facilitates program development, academic requests, and institutional growth, as well as the continuous improvement of the
major 3–5. Students’ development of math knowledge before college iscommonly influenced by their experiences in math courses, where their experiences createdifferent feelings about math activities. An important factor influencing students’ perceptionsabout math courses and activities is math anxiety. Richardson & Suinn6 defined math anxiety as“feelings of tension and anxiety that interfere with the manipulation of numbers and the solvingof mathematical problems in a wide variety of ordinary life and academic settings” (p. 551).Math anxiety is not just dislike of mathematics or lack of math knowledge, but a set of feelingsthat affect performance in math-related activities that may lead to avoidance of math courses andmath-related careers 7
students who don’t define themselves asmathematicians, but whose careers require what we will call “mathematical intuition” to supportthe use of technology in solving problems and to anticipate a correct solution.The goal of this paper is to describe a project-based learning experience that has the potential tohelp students build their mathematical intuition by requiring them to formally estimate within thesolution process. By requiring estimations, the project becomes open-ended; students understandthat their answers are not exact, or ‘right’, but are still valid. Framing the project as one thatcorresponds well to students’ sense of what one ‘does’ in their discipline provides a greaterdegree of student autonomy in completing the project because
engineering or aviation majors. So, acomputational mathematics degree was proposed taking the essence of these similar degreeprograms and adapting them to the strengths of our university.Computational Mathematics Degree ProgramAs mentioned earlier our university is a selective private masters granting technical university.The purpose of our university is “..to provide a comprehensive education to prepare graduates forproductive careers and responsible citizenship with special emphasis on the needs of aviation,aerospace, engineering, or related fields…”. To achieve this, the following education goalswere developed for the degree program with focus areas in computational engineering andsciences. a. The degree program will ensure that students
research to an understandable andinteresting K-12 level. This process instills better communication skills in the STEP Fellows andbreaks any reservations of working with the K-12 environment once employed as a university Page 15.626.2faculty member. The secondary goal of Project STEP was to impact student learning by relatingSTEM content to urban city issues through the use of hands-on, technology-driven, inquiry-based projects that also relate to desired curriculum standards. Students need an understanding ofSTEM and the reasons to pursue STEM careers; over 3,000 students have been exposed toSTEM lessons in the past three years with Project STEP
our approach.II.B. Literature and Product Review: Although there is a clear lack of quantitative researchon how robots can increase STEM achievement in students, and some of the research findingsare inconclusive5, most of the studies have shown positive correlation between the use of robotsand students motivation towards STEM careers. Robotics is recognized by NSF to be anexcellent vehicle for education and involving students in science and engineering, and, with theproper initiative, motivate promising students to pursue career tracks in mathematics and itsapplications6.Robots also promote learning of scientific and mathematic principles through experimentation7.Bringing robots into the classrooms will have lasting benefits. When students
company and how thattransition occurs. The students provided a second form of data: After each interview, theyparticipated in an individual “think-aloud” problem-solving session, in which they worked on anassigned problem set from the target course and verbalized their thinking and problem-solvingstrategies.As the participants in this study represented different stages in an engineering career, it wasinappropriate to combine the data for general coding. Instead, I approached all data with thequestion, How does this participant perceive the role of mathematics in engineering? For eachparticipant, I extracted data relevant to this question from the interview and “think-aloud”transcripts. From these extracted data, I created a narrative summary for
-30: Between 21 and 30 hours outside the school >30: More than 30 hours If the student has been Yes 5 Trnsf transferred from another No institution If the student has made a Yes 6 Crch career change No The number of semesters <4
into a Game Making Curriculum Erin Shaw, Zachary Boehm, Hussain Penwala, and Jihie Kim, Ph.D Information Sciences Institute, University of Southern California shaw@isi.edu, zboehm@usc.edu, penwala@usc.edu, jihie@isi.eduAbstractThis paper reports on our experiences designing GameMath!, a mathematics learning track for anew game making curriculum called Pedagogical Games. The curriculum is the result of anNational Science Foundation grant to explore novel ways to teach standards-based content and21st century skill to underperforming high school students in Los Angeles. The project’s goalsare to address retention, career education and secondary mathematics learning. Game-making isbeing used to