Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Gunter Bischof, Joanneum University of Applied Sciences, Graz, Austria; Christian Steinmann, Joanneum University of Applied Sciences, Graz, Austria

Tagged Divisions

Mathematics

Hours 30.03.2011 Kick-off meeting Explanation of the project and distribution of the tasks. 3 31.03.2011 Development of “RandDot” test routine Comprehension of the task; performance test 2.5 11.04.2011 Team meeting, clarification of tasks Implementation of a prototype 1 12.04.2011 Development of FHP1_simple Simple grid, reflection boundary conditions, 2 byte cell variable 3 13.04.2011 Development of FHP1_simple Real-time representation of particles 4 14.04.2011 2nd meeting with Dr. Bischof Lattice structure, FHP model, look-up table

Conference Session

The Transition from Secondary to College Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Alex Feldman, Boise State University; Doug Bullock, Boise State University; Janet Callahan, Boise State University

Tagged Divisions

Mathematics

author(s) and do not necessarily reflect the views of the National ScienceFoundation.References1. http://www.aleks.com/2. Rueda, N.G. & Sokolowski, C. (2004). Mathematics Placement Test: Helping Students Succeed. TheMathematics Educator, 14 (2) (pp. 27-33).3. Cederberg, J. N. (1999). Administering a placement test: St. Olaf College. In B. Gold, S. Keith, & W. Marion(Eds.), Assessment practices in undergraduate mathematics (pp. 178−180). Washington, DC: MathematicsAssociation of America.4. Cohen, E., Friedlander, J., Kelemen-Lohnas, E., & Elmore, R. (1989). Approaches to predicting student success:Findings and recommendations from a study of California Community Colleges. Santa Barbara, CA: Chancellor’sOffice of the California

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Julie Gainsburg, California State University, Northridge

Tagged Divisions

Mathematics

the mandatory language fordesign and analysis, and mathematical proof the industry standard for final justification. In thislast point there is some overlap between the perspectives of engineers and JPFs: Both sometimesused formal mathematics for post hoc justifications of solutions obtained by other means.The epistemological aspect of skeptical reverence recalls the broader concept advanced by Kingand Kitchener (1994)32 of reflective judgment. Mainly applied to college students, reflectivejudgment is the endpoint of a developmental continuum corresponding to the recognition of thecomplexity and uncertainty of real-world problems, an awareness of the need to interpretknowledge in the context in which it was constructed (and revise it in light

Conference Session

Using Computers, Software, and Writing to Improve Mathematical Understanding

Collection

2012 ASEE Annual Conference & Exposition

Authors

N. Jean Hodges, Virginia Commonwealth University, Qatar

Tagged Divisions

Mathematics

: modifying and extending thecourse objectives; assessing and appealing to students‟ super linksa; using various short papers asgauges of students‟ understanding and as concept reinforcements; assigning journal questions;estimating students‟ critical thinking skills; administering quizzes, tests, and projects; requiringreports and presentations by the Honors Students; and emphasizing writing as an instructionaltool. Course Objectives. The math professor and the writing center instructor firstcollaborated to develop course objectives reflecting the higher-level thinking and learning skillsdemanded by critical thinking. They stated such objectives for both the topics to be covered andfor critical thinking skills specifically. Both sets

Conference Session

Using Applications and Projects in Teaching Mathematics

Collection

2012 ASEE Annual Conference & Exposition

Authors

Hassan Moore, University of Alabama, Birmingham

Tagged Divisions

Mathematics

. Whenever numerical answers are required, find the exact values using a calculator. A certain amount of collaboration is acceptable in doing this project, but reports must be written individually. Thus, when writing your report, make sure that it is clearly different from reports of others and reflects your own thoughts for solving the problems. Reports that are virtually identical to others will not receive credit.In project 1, students are asked to use their knowledge of solving first-order ordinary differentialequations to tackle basic ideas in rocket science through the examination of the Jules Vernecatapult idea and single-stage rockets. The second project explores ideas in mechanicalvibrations with the concept of

Conference Session

Using Computers, Software, and Writing to Improve Mathematical Understanding

Collection

2012 ASEE Annual Conference & Exposition

Authors

Jorge A. Samayoa, Galileo University and Purdue University; Carlos Humberto Zelada, Galileo University

Tagged Divisions

Mathematics

course content that supplements and extends delivered material.Some of the findings in a study conducted by Cole 4 suggested that some of the pedagogicalbenefits of using a wiki are the following: 1. Evolutionary knowledge building and innovative problem-solving. 2. Explaining diverse and often conflicting ideas. 3. Synoptic assessment and definitional synthesis. 4. Critical questioning and reflection. 5. The ability to avoid premature criticism and engage in complex and nuanced analysis of others work.Even though all five points are extremely interesting, we believe that the last two are crucial in thelearning process through a wiki. We have realized, although not formally tested, that when astudent/user is learning from a

Conference Session

Techniques in Improving Mathematics Education in STEM Curricula

Collection

2012 ASEE Annual Conference & Exposition

Authors

John R. Reisel, University of Wisconsin, Milwaukee; Marissa Jablonski, University of Wisconsin, Milwaukee; Ethan V. Munson, University of Wisconsin, Milwaukee; Hossein Hosseini, University of Wisconsin, Milwaukee

Tagged Divisions

Mathematics

undergraduate hourly workers is more costeffective than hiring TAs, which is an important consideration for many schools today. This isparticularly significant when the use of the peer-led study groups has been demonstrated to bequite effective, as done here.AcknowledgmentsPartial support for this work was provided by the National Science Foundation's Science,Technology, Engineering, and Mathematics Talent Expansion Program (STEP) under Award No.0757055. Any opinions, findings, and conclusions or recommendations expressed in thismaterial are those of the authors and do not necessarily reflect the views of the National ScienceFoundation. The authors would also like to thank Tina Tang, Cindy Walker, Todd Johnson, TinaCurrent, Sharon Kaempfer, and Jennie