) Physics I Figure 1: A pictorial illustration of the sequence of the common EXCEL courses taken by an EXCEL cohort.Calculus classes that are bold-faced are classes blocked for EXCEL students and taught by EXCEL faculty. Coursesthat are italicized are new courses that have been introduced by the EXCEL program and taught/supervised byEXCEL faculty A pictorial that shows the sequence of EXCEL classes planned for an EXCEL cohort(starting in the fall of an academic year) is shown above, in Figure 1. The bold-facedmathematics courses are EXCEL only sections. Note that the EXCEL cohort is divided in twogroups. The group that is not Calculus ready and is placed in the Pre-Calculus Class for Fall, andthe group that is
Direction This paper presents an analysis of the NCAA basketball tournament which is entirelymathematical in its methodology. However, the modeling process and its applications havestrong engineering implications. This section provides a few example topics for classroominstruction that could potentially follow this tournament analysis within a high school Page 24.930.9engineering course, along with future extensions planned for the current curriculum. Examples of well-established engineering applications involving the use of Bernoulli trialsand binomial and geometric distributions reside in the practice of quality control. In a large batchof
and by geographic location.• Like for MOEMS, student performance expectation should be clearly defined for differentgrade levels based on previous years’ statistics.Lessons learnedThe author has learned several lessons from the past seven years of involvement in the mathclub. These may be useful for those who are interested in starting such an enrichment programin their local schools.Develop a schedule or lesson plan for the entire school year. A lesson plan helps parentvolunteers to serve as mathclub aides during the sessions. These volunteers roam around andhelp students who need some additional help. The schedule also helps all session leaders towork in a seamless manner as students move from one group to another.Try to maintain a
centers around interactive worksheets,cooperative learning and discovery activities, and individual writing assignments.Interactive Worksheets: We have designed worksheets to complement our presentation of thesubject matter. The worksheets contain definitions, theorems, and procedures as well as theexample problems (without solutions) that we plan to discuss in class. Frequently we ask studentsto attempt a problem prior to a discussion on it. This approach allows students to take an activerole in doing linear algebra problems rather than be passive observers. In the interactiveworksheets, the examples the students are asked to work include basic computations, applicationsof theory, and applications in specific contexts. The following are excerpts
puta lot of effort in reducing the dropout rate of part-time engineering students, particularly focusingon dropout that occurs during the freshmen year. With this objective in mind and knowing that thestudents’ experience with the first calculus course is an important variable that may lead a studentto abandon his career plan, we decided to implement active learning methodologies [6] to teachthat course to part-time students. As [7] states, active learning methodologies may directlyinfluence social integration and indirectly affect the student’s dropout decision.In this paper, we introduce what we call Guided-Lecture Team Based Learning (GL-TBL), whichis a learning methodology whose core relies on the well-known Team Based Learning (TBL
Fall 2016 9 2 Fall 2017 11 9Course Analysis: QualitativeIn addition to doing a quantitative analysis, we also conducted a qualitative analysis. Thisconsisted of gathering feedback from the instructors who taught the course and constructivefeedback from students on how to improve the course. The two key recommendations that weremade and the actions taken to implement them are: (1) Offer a different version of this course for MATH108 students with fewer topics and more in-depth study of pre-calculus topics. Newer topics such as Complex Numbers and Matrix Algebra would also be added. We plan to
of years I became a lecturer in the Engineering Department at the University of Virginia where I am teaching now full time. c American Society for Engineering Education, 2018 Redesigning the Calculus Curriculum for Engineering StudentsIntroductionThis paper provides an overview of year two in our calculus redesign project, marking thesecond step in a three-year plan to make over the calculus sequence. In our previous paper [0] wediscussed the motivation for the Calculus curriculum redesign at our institution, as part of agreater effort to improve and innovate the calculus sequence in many universities in the US. TheMathematical Association of America, MAA, with support by NSF, has published
. 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
amount of digitally stored data will increaseover the next decade as more people and companies conduct business online and use socialmedia, smartphones, and other mobile devices. As a result, businesses will increasingly needmathematicians to analyze the large amount of information and data collected. Analyses willhelp companies improve their business processes, design and develop new products, and evenadvertise products to potential customers.” A recent survey of senior Fortune 500 and federalagency business and technology leaders by the Harvard Business Review [3] reports that 70% ofthe respondents plan to hire data scientists. McKinsey Global Institute's May 2011 [7] researchreport indicates that the demand for big data analytical talent
approach suggestedby Polya in How to Solve It8. Polya boils problem solving down to four simple steps thatprovide an algorithm to approaching any type of complex problem. These are: 1) understand theproblem; 2) devise a plan; 3) carry out the plan; and 4) look back and evaluate your results andprocess. The emphasis on evaluating progress against goal is helpful, in particular, for lessexperienced students when dealing with larger-scale problems. However, students still haveissues with evaluating the correctness, or reasonableness of their answers, often because theyhave not developed the often estimation- based skills necessary to support the development ofmathematical intuition, which would guide their judgment. Consequently, we knew we needed
Teaching (CFAT), and the 2011 ASEE National Outstanding Teaching Award.Dr. Ali Yalcin, University of South Florida Prof. Ali Yalcin received his B.S., M.S., and Ph.D. degrees in Industrial and Systems Engineering from Rutgers University, New Brunswick New Jersey in 1995, 1997 and 2000. He is currently an Associate Pro- fessor at the University of South Florida, Industrial and Management Systems Engineering Department, and an Associate Faculty member of the Center for Urban Transportation Research. His research interests include systems modeling, analysis and control, production planning and control, information systems, data analysis and decision support in healthcare, and engineering education research. His work has
AC 2010-214: BRIDGING MATHEMATICS CONCEPTS TO ENGINEERINGCONTEXTS: JUST-IN-TIME REVIEW MODULESDianne Raubenheimer, North Carolina State University Dr. C. Dianne Raubenheimer received her PhD from the University of Louisville and is Director of Assessment in the College or Engineering and Adjunct Assistant Professor in the Department of Adult and Higher Education at NC State University. Within the College of Engineering she serves as the coordinator of ABET and other accreditation processes, acts as a resource/consultant to faculty in the different programs, develops and implements assessment plans, and serves as the primary educational assessment/data analyst adviser on the Dean’s staff. A
. Theresults of this analysis are consistent with instructors’ assumptions about attendance. Whilemore data needs to be collected from multiple semesters, the results support continuing toencourage attendance. This and additional data may prove useful in convincing students of theimportance of attending class.Future plans include on-going collection of attendance data and exploring when and how topresent the analysis results to students. While this study looked at using MyMathLab in-classproblems to record attendance, the mid-semester feedback from students indicates that theadditional practice in MyMathLab had value on its own, and the department plans to investigatethis in greater detail in the future. Part of the motivation for encouraging and
paper.The organization of this paper is as follows: Section 2 provides a comprehensive literaturereview that supports the strategies that the EXCEL program has chosen to increase retention inSTEM disciplines. Section 3 discusses the management structure of the EXCEL program.Section 4, emphasizes EXCEL’s educational plan, while sections 5 and 6 provide an overview ofthe EXCEL recruiting and retention activities, respectively. Section 7, one of the most criticalsections of this paper provides evidence that the EXCEL recruiting and retention strategies arebearing fruit. Section 8, outlines the efforts to recruit EXCEL students and faculty to participatein the EXCEL sophomore research experiences; this effort is not aggressively assessed, becauseit was
pool with limited prior exposure in dealing with racial microaggressions. There were a variety of actions faculty would take to address the microaggression. Tentimes, faculty members said they would discuss classroom norms, and nine times, theycondemned the comment made in the chat. On four occurrences, faculty members noted thevalue diversity brings to the classroom environment; three times, they said they would pause toaddress the comment or would plan to address it in a future class; and, twice, faculty memberssaid they would affirm how Shawna belongs in the class and would invite students to talk tothem one-on-one at a later time. These efforts suggest that most faculty members wanted to callattention to the microaggression and
comparing the average GPA of engineering graduates who tooktheir initial coursework at the UW-Colleges (3.17), versus those who took all their coursework atUW-Platteville (3.12) shows that the UW-Colleges provide quality foundation for engineeringstudents.We plan to communicate additional results from this on-going project as data becomes available. Page 13.1059.7ConclusionThe UW-Colleges still play an essential role in the education of future engineers. They provideopportunities for students who have deficiencies in their mathematics background. In general,they allow for an easier transition for students from high school to college offering
bring up a discussion of what went wrong at this point. As a recipients of a three-year 2008 NSF-CCLI-II grant, we hope to collect thousands ofsamples of student pen-based submissions on a variety of Calculus problem. From the results ofthis “data-mining,” our goal is to create effective group activities that are scientifically-basedteaching tools. We plan also to involve our local community college (Tri-County TechnicalCollege). We will collect these students’ pen-based submissions in Calculus and compare thetypes of errors these students make. We hope to share experiences and new materials, and tostrengthen the bridge to Engineering and Science careers for Tri-County students as they moveinto Clemson and other 4-year
development occurs through engagementin tool-mediated activities that allow for social interactions. Several studies use Vygotsky’snotion of mediation to explain learners’ interactions with technological tools in mathematicalactivities [for example, 4, 5-7]. Technological tools mediate learners’ activity and provideadditional tools and signs that can support students’ mathematical discourse and building ofmeaning. Helping students construct mathematical meaning while interacting with mathematicaltools requires teachers to carefully plan and implement how their students engage inmathematical activities. However, for mathematics teachers’ to use technological tools in theirclassrooms effectively, they need to learn how to use the tools. This creates a
our curriculum has focused solely on courses for math and science majors, the ideaspresented here easily expand to these same introductory science laboratory courses forengineering majors. Indeed, at most institutions, the math, science and engineering majors takethe same introductory math and science courses. We have plans to expand these revisions to atleast some of the introductory science labs that the engineering majors take at our own institution.Our hope is that other institutions might consider doing the same.Integrating Calculus Concepts into Science LabsA team of mathematics, biology, chemistry, physics and engineering faculty met over a period ofthree years to explore their current introductory laboratory courses and their vision
test anxiety. I felt it acouple of other times during my plan of study. I had worked all the homework assignments and hadstudied the night before the exams, yet I felt unprepared in some cases and just not ready. I realizedsomething was missing. In the Math classes I have taught, I was the one to visit for assistancewith homework and to clear up any misconceptions. The reason I could help was because I wasmathematically confident. I knew what I was doing. But mechanical engineering was, in manyways, new material to me. I had to gain confidence. But confidence comes with competence. Iknew I had to become proficient in the material to the point I could teach it. Here is where all ofHigher Education could take a lesson from Engineering. Because
% Unknown… 7% International 13% 0% 20% 40% 60% Figure 2: Race/Ethnicity of the Institution’s Students 4Data Collection and Analysis. The primary method for data collection consisted of open-endedsurvey items via the EGR_Math course management system. Survey items were developed in theform of one-minute papers, exam wrappers and midterm feedback (Angelo & Cross, 1993;Eberly Center, 2019a). Students were encouraged to complete electronic one-minute papersduring the final few minutes of each class and lab to help instructors plan for the following
; modeling analysis and control of discrete event dynamic systems.Ali Yalcin, University of South Florida Prof. Ali Yalcin received his B.S., M.S., and Ph.D. degrees in Industrial and Systems Engineering from Rutgers University, New Brunswick New Jersey in 1995, 1997 and 2000. He is currently an Associate Professor at the University of South Florida, Industrial and Management Systems Engineering Department, and an Associate Faculty member of the Center for Urban Transportation Research His research interests include modeling, analysis and control of discrete event systems, production planning and control, industrial information systems, data analysis and knowledge discovery, and
courses are customized for our school and institution and are not directly equivalent totypical Single Variable Calculus I or II or Multivariable Calculus courses.We also plan to introduce a Math Lab course to first-year students in their first semester. TheMath Lab will address the wide variability among our incoming students in their knowledge andskills in non-calculus areas. For example, topics like limits and determinants currently need tobe reviewed in multiple courses. The Math Lab course will cover these topics in a self-pacedenvironment. A module that includes a video lecture and practice worksheets will be offered foreach topic. Modules may be completed throughout the semester, and students will be providedwith several opportunities to
mathematics level they shouldbegin their studies with.Strong Student OutreachIn order to help first year students placed into either MATH108 or MATH110 better understandwhat their placement test means for their respective degree plans, our university spent a greatdeal of time and effort developing and implementing marketing strategies. On receipt of thestudent’s deposit, an electronic and regular mail outreach campaign was triggered informing thestudent about the placement test, how to register for it, if they did not already have advanceplacement or transfer credits. At open house events and admitted student day, advisors presentedthe importance of mathematics for STEM majors, the impact on graduation timeline and whatoptions are available to
widely, from a median of 396min to 3140 min. The collection of schools with the highest use attributed this to severalfactors: anytime access to individual computers for students, compulsory completion ofprescribed KA topics with consequences for non-compliance, close teacher monitoring ofstudent progress, well-planned integration of KA with curriculum, and extended instructionalblocks focusing on mathematics.1 Exploratory analyses of years 5 and 6 from the largestcollection of associated schools found a positive relationship between time spent on KA andnumber of problem sets completed to proficiency with performance (better than predictedperformance in the California Standard Test) and attitudes (lower math anxiety, higher mathself-concept and
trigonometry. It is clear from the self report data that students on average are leastconfident about their preparedness to use trigonometric functions. We plan to further studystudent preparedness based upon a more objective metrics (such as an initial exam) and comparethis to the self reported data.Effectiveness of Learning ResourcesExponential functions and logarithms and particularly trigonometry are topics that are central topre calculus courses. Lack of adequate preparation in these topics could go a long way towardsexplaining why students are failing to place into calculus in the first place and then could alsoaccount for why these students are not successful in pre calculus during their freshman year. Totry and understand why some students are
in mathematics, firstly, as viewed by the mathematician, secondly, as needed by the engineer and, lastly, as presented to the student. He is a licensed New York State Professional Engineer and is a member of ASEE, MAA and IEEE. His email address is ai207@bfn.org. Page 15.1246.1© American Society for Engineering Education, 2010 The Natural Structure of Algebra and CalculusPrefaceIn every well-planned course, only one thing is studied.In arithmetic, numbers are studied. After studying arithmetic, a student should know the variouskinds, forms, operations, properties of and relations between numbers. In the end
Page 25.815.6juniors. Most students were non-native English speakers from diverse countries, and all of themare, or plan to become, design majors. Course Activities. Over several years, the teaching strategies and assignmentrequirements for MATH 131 have evolved to accommodate students‟ generally non-Americancultures, their English-as-second-language (ESL) needs, and their individual learning andinformation-processing preferences. After a writing center instructor administers and evaluateslearning style preference and brain hemispheric preference tests given during the first few daysof class, the professor prepares teaching strategies that address visual, auditory, tactile, andkinesthetic preferences as needed for the specific class
education from a cross-curricular perspective.MethodsTeacher Instruments and AnalysisIn order to determine if AMP! achieved the goals of increasing teacher content knowledge,increasing student engagement and academic success, as well as creating supportive teachercadres, multiple levels of assessment were utilized. The evaluation plan included qualitative andquantitative assessments to determine whether teacher changes occurred and, when possible, thelevel of statistical significance of those reported changes. The instruments used included theMathematics Teaching Efficacy Belief Instrument (MTEBI) [42], a Leadership Survey createdin-house, and a Needs Assessment survey also created by the team. AMP! teachers completedthe three surveys before and
) approximation, rational and irrational change of lesson plan, handling errors numbers in student presentations exponential growth, evaluating ex- listening skills, small-class activities, The More Things ponential expressions, instantaneous discussion techniques, gender issues, Change and average rates of change competitive students area and circumference of circles and assessment, use of journals, grading What is π Anyway? annuli, approximation, definitions of procedures, effectiveness of models, π and infinity, ratios without units