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

Camp Assistant Director for two years. In addition, he taught students in the camp as well as assisting with teacher professional development. His honors include the Lechner Scholarship and the College of Education Graduate Strategic Support Scholarship. As a graduate student, he distin- guished himself through his extensive publications on STEM teaching and learning and has participated in the writing of several grant proposals. He presented his research at several educational research con- ferences including AERA, NCTM, and SERA as well as having papers in proceedings of FIE and AAEE in engineering education. He earned several publications including journal articles, book chapters, and conference proceedings. He

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

cohort, andhear again about ALEKS™ in several differentways. This includes hearing about it during theopening greeting to STEM students given by aSTEM academic leader, usually a Dean, in aslide. It also includes having a poster presentin the room, e.g. see Figure 1; through thewearing of “Ask me about ALEKS™” buttonsworn by peer advisors during orientation andby having fliers available on a table duringpreregistration. Following summer orientation,approximately one week later, a second emailis sent reminding students of the opportunity;this email garners the most responses withmany students electing to receive licenses oneto two weeks following STEM summerorientation. In addition, advisors who interactwith students also receive fliers and

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Peter J. Sherman, Iowa State University

Tagged Divisions

Mathematics

the „dumbing down‟ uf universitylevel STEM curricula,, then isn‟t it possible that STEM education at the K-12 levels hassomehow failed? Furthermore, could it be that many of their peers who have deemed themselvestoo lacking in mathematical ability to pursue STEM majors, in fact, have a strong potential tounderstand mathematical concepts, but lack the opportunity to realize this potential throughoutthe K-12 STEM education curricula as currently constructed?These response questions are rhetorical. Of course, if indeed, students who graduate from STEMuniversity programs having glaring weaknesses in understanding of basic mathematical concepts,then, by definition, there is a fundamental flaw, at least in the guiding philosophy of STEMeducation

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

represent ideas and an awareness of the syntactic rules for writing symbols inan acceptable form”.Both procedural and conceptual knowledge may be deep or superficial and each of them maysupport the other. 19 A student with developed conceptual knowledge has the ability to understandmathematical concepts and apply them correctly to a variety of situations. She can also translatethese concepts between verbal statements and their equivalent mathematical expressions and”see” mathematical representations with her ”inner eye”. 15Although attempts have been made to develop conceptual understanding among universitystudents, the traditional procedure-oriented teaching to solve standard problems by fosteringprocedural learning widely prevails. 20 Faculty are

Conference Session

Issues and Answers in Mathematics Education

Collection

2011 ASEE Annual Conference & Exposition

Authors

Amelito G. Enriquez, Canada College

Tagged Divisions

Mathematics

theirpersistence from one semester to the next. Table 8 is a comparison of the persistence rates ofCañada students and 2009 Math Jam participants. Over the last several years, a study of firsttime fall semester Cañada students shows persistence rates of 55% for the following springsemester, 38% for the fall of the following year and 32% for the spring semester of the secondyear. For the 2009 Math Jam participants, the corresponding persistence rates were 93% forspring 2010, and 76% for fall 2010. At the time of writing this paper, the spring 2011enrollments had not been completed. With much higher persistence rates, the degree-completion and transfer rates for these students are expected to be much higher as well.Two important variables that are commonly

Conference Session

Mathematics Division Technical Session 1

Collection

2018 ASEE Annual Conference & Exposition

Authors

Paul L. Goethals, United States Military Academy; Karoline Hood, United States Military Academy

Tagged Divisions

Mathematics

gender [7], ethnicities [8], and even language comprehension [9-11]. Alarge number of the studies assessed performance in standardized testing, while othersspecifically investigated confidence in writing or in speaking [8]. The results also put specialemphasis on a breadth of attributes, such as personality, metacognition, and cognitive abilities[12-14]. Finally, the methods of evaluation used by researchers range from statistical hypothesistesting, to confidence metrics, scores, and correlation matrices.In order to gather the data necessary to measure confidence, a typical study requests that theparticipants provide a rating expressed in terms of a percentage, corresponding to theirconfidence level with their response [15-16]. This is primarily

Conference Session

Mathematics Division Technical Session 2

Collection

2016 ASEE Annual Conference & Exposition

Authors

Aimee Cloutier, Texas Tech University; Jerry Dwyer, George Washington University; Sonya E. Sherrod, Texas Tech University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

them to teach mathematics for conceptual understanding. She currently coaches graduate students in the College of Education at Texas Tech University in their dissertation research and writing. c American Society for Engineering Education, 2016 Exploration of Hands-on/Minds-on Learning in an Active STEM Outreach ProgramAbstractThe importance of encouraging interest in science, technology, engineering, andmathematics (STEM) in students from underrepresented groups is well recognized.Summer outreach programs are a common means of accomplishing this goal, butbalancing program content between information and entertainment can be a challengingissue. Typically, programs include hands-on

Conference Session

Techniques in Improving Mathematics Education in STEM Curricula

Collection

2012 ASEE Annual Conference & Exposition

Authors

Erin Shaw, University of Southern California; Zachary Boehm, University of Southern California; Hussain Badruddin Penwala, University of Southern California; Jihie Kim, University of Southern California

Tagged Divisions

Mathematics

greater than three, on a scale of 1-5.However, as results of a standardized algebra readiness test showed (MDTP, 2012), none ofthese students met even one math topic threshold for algebra readiness in 9th grade. In summary,these students were aware of both the difficulty and importance of math, but were too disengagedto apply themselves to learn it. Moreover, the underperforming students were tracked together sothat peer influence was an obstacle in overcoming academically self-destructive behavior, suchas talking and texting in class. Traditional lecture style classes were failing because of frequentinterruptions and the distraction of mobile electronics. We hypothesized that these studentswould require engaging project-based work if they were

Conference Session

Computers and Software in Teaching Mathematics

Collection

2010 Annual Conference & Exposition

Authors

Cynthia Young, University of Central Florida; Michael Georgiopoulos, University of Central Florida; Tace Crouse, University of Central Florida; Alvaro Islas, University of Central Florida; Scott Hagen, University of Central Florida; Cherie Geiger, University of Central Florida; Melissa Dagley-Falls, University of Central Florida; Patricia Ramsey, University of Central Florida; Patrice Lancey, University of Central Florida

Tagged Divisions

Mathematics

the EXCEL Center) by the First Year EXCEL academic advisor and other college advisors. 7. Mathematics and science tutoring offered (at least 60 hours per week) by graduate students at the EXCEL Center 8. Recitation sessions, offered at the EXCEL Center, by the math professors who are instructors of the Pre-Calculus, Calculus I and Calculus II courses 9. Peer tutoring sessions organized at the NIKE Housing community (where EXCEL students reside) on Sunday through Thursday evenings. 10. Undergraduate research experiences offered by UCF faculty to interested EXCEL sophomore students.The remainder of this paper is devoted to Activity # 5 (development and teaching of the Apps Iand II courses) and its

Conference Session

Mathematics Division Technical Session 2

Collection

2018 ASEE Annual Conference & Exposition

Authors

Daniel Raviv, Florida Atlantic University

Tagged Divisions

Mathematics

principally designed for a learner-centered e-based environment, making it ready for largescale dissemination. Examples of calculus concepts that the author and his team plan to developand integrate include: (a) games, (b) puzzles and teasers, (c) animations, (d) visual and intuitivedaily-experiences-based examples, (e) movies and short video clips, (f) demonstrations, (g)hands-on activities (including those based on virtual reality and augmented reality), (h) teamingand communication exercises, (i) small-scale inquiry-based research, (j) presentations, and peer-based teaching/learning, (k) visual click-based e-book, (l) community and social engagement,and (m) challenges beyond the basics.2 Calculus ExamplesThe following is a set of examples for

Conference Session

Integrating Mathematics, Science, and Engineering

Collection

2007 Annual Conference & Exposition

Authors

Günter Bischof, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Emilia Bratschitsch, Joanneum University of Applied Sciences, Department of Automotive; Annette Casey, Joanneum University of Applied Sciences, Department of Automotive Engineering,; Domagoj Rubesa, Joanneum University of Applied Sciences, Department of Automotive Engineering,

Tagged Divisions

Mathematics

-processingalgorithms, data evaluation and modeling. The fact that they were entrusted with thegeneration of a tool facilitating a recently developed method in nuclear solid state physicsproved to be highly motivating.Based on the demand to educate the students to high academic standards, the results of ascientific project have to be properly disseminated. In order to provide students with aplatform for scientific publications several journals for undergraduate researchers werefounded in the last decade. These journals comply with the same directions and qualitystandards as conventional scientific journals, as for instance a peer review system. In this waystudents become familiar with scientific writing in early stages of their academic education.Moreover

Conference Session

Mathematics in Transition

Collection

2007 Annual Conference & Exposition

Authors

Anne McClain, University of Alabama-Birmingham; Dale Feldman, University of Alabama-Birmingham; Lee Meadows, University of Alabama Birmingham

Tagged Divisions

Mathematics

to solve mathematical problems. Inquiry and reflection includesuse of inquiry-based activities and reflecting on learning experiences individually, in groups, oras a class. Communication includes the ability to articulate one’s mathematical ideas verballyand in writing to peers, teachers, parents, and others.GBMP’s professional development curriculum for teachers involves a sequence of sevenintensive mathematics content courses taught or co-taught by MEC staff each summer. Themathematics content consists of the "big mathematical ideas" of numerical reasoning, algebra,geometry, probability, and data analysis as identified in NCTM’s Principles and Standards forSchool Mathematics [5]. Each course models the attributes of challenging courses and

Conference Session

Mathematics Division Technical Session 1

Collection

2021 ASEE Virtual Annual Conference Content Access

Authors

Rebecca Machen, University of Colorado Boulder; Wysheka Austin, Clemson University; Matthew K. Voigt, Clemson University

Tagged Topics

Diversity

Tagged Divisions

Mathematics

; Clark et al., 1999; Mercer et al., 2011;Torres et al., 2010; Bair & Steele, 2010; Salvatore & Shelton, 2007). In addition to the adverseeffects on cognition, students of color who are the targets of repeated microaggressions struggleto persist in STEM majors at higher rates than White peers due to a lack of belonging (Johnson etal., 2007; Reid & Radhakrishnan, 2003). Critical race theory (CRT), therefore, is an appropriatetheoretical lens to examine the effects of racial microaggressions. CRT posits that racism isendemic and pervasive throughout American institutions, and education is no exception (DuBois,1920; DuBois, 2004; Gillborn, 2008; Solorzano, 2020). Using a CRT framework in this study,we hope to illuminate how racism may

Conference Session

Mathematics in Transition

Collection

2006 Annual Conference & Exposition

Authors

Bella Klass-Tsirulnikov, Sami Shamoon College of Engineering (formerly Negev Academic College of; Sharlene Katz, California State University-Northridge

Tagged Divisions

Mathematics

emphasize that by writing Card N = 30 we meanthat N is countably infinite.7. Cardinality of Countably Infinite Sets. There are other countably infinite sets, for example,the set Z of all integers. Table 1 gives an idea of how Z can be counted. It seems naturalassigning to Z the symbol 30: Card Z = 30. Any countably infinite set A can be counted by usingthe bijection A 2 N. Thus, the symbol 30 can be assigned to any countably infinite set A. Wewrite: Card A = 30 for any countably infinite set A, or in other words, for any set A that isequivalent to the set N = {1, 2, 3, 4, ..., n, ...} of all positive integers.8. Equivalent Sets Have the Same Cardinality. Next we ask the question: are all infinite sets weknow countable? Or, are there infinite sets

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

facilitated by lead instructor and peer learning assistant. - Additional and more involved weekly work with written feedback.The redesigned course was effective, but it was only one section of approximately a dozen taughteach semester. Its impact on student success was therefore muted, and, because it was limited toa single faculty member, any benefits were not institutionalized. In parallel with this focus on calculus content, we had begun engaging STEM faculty to considercourse design and evidence based instructional practices. This engagement was done primarilythrough a faculty learning communities (FLCs) strategy. An FLC is a type of community ofpractice in which a group of 8-10 faculty “engage in an active, collaborative, yearlong program

Conference Session

Mathematics Division Technical Session 1

Collection

2013 ASEE Annual Conference & Exposition

Authors

Ravi T. Shankar, Florida Atlantic University; Don Ploger, Florida Atlantic University; Agnes Nemeth, Florida Atlantic University; Steven Alan Hecht Ph.D., Nova Southeastern University

Tagged Divisions

Mathematics

the students couldn’t help but learn about themath in order to solve the design problem10.The popular Logo environment has involved the Turtle, originally a robotic creature that movedaround on the floor11. Logo can be a very powerful tool to help children – and college students –learn mathematics. It could help kindergarten children write simple programs to draw interestingshapes. It has also been used by college students to solve difficult problems in calculus.Despite its many potential benefits, Logo did not become part of the school math curriculum, andit is not referenced in the Core Curriculum Standards. It is, however, possible to createsomething that has many of the good points of Logo, and still connect it to classroom practice.Other