This presentation outlined the experiences of Mathematics Professor Brandie Biddy and Instructional Librarian Melissa D’Agostino as they worked together to incorporate a research project in Cecil College’s Differential Equations course in Fall semester 2015. The presentation illustrated how to integrate research and writing assignments into math courses, as well as how to embed a librarian into a course to teach students how to successfully complete those tasks related to completing a college research project that asked students to study a topic relating the application of a specific differential equation to a real-world setting (be that a physical, chemical, biological, engineering or other setting). Topics selected by the students included the launch of the Saturn V rocket and a predator-prey model for dragons and unicorns.
Embedding the librarian allowed Ms. D’Agostino to attend a class as the guest lecturer, addressing research skills, appropriate sources, and citations. She then led a hands-on session which allowed the students to get started with their research in a setting where both presenters were available to answer questions.
1. EXPLORING THE MYTHICAL
RELATIONSHIP BETWEEN A
LIBRARIAN AND A MATHEMATICIAN
How to incorporate research and a librarian
into a mathematics class
Melissa D’Agostino, mdagostino@cecil.edu
Brandie Biddy, bbiddy@cecil.edu
Cecil College
AFACCT 2016 Conference, College of Southern Maryland
Session #2.2, January 7, 2016 11:40 A.M.
2. INTRODUCTIONS
Brandie Biddy
Assistant Professor of Mathematics
M.S. Applied & Computational Mathematics
B.S. Mathematics
Melissa D’Agostino
Instructional Librarian
Master Library & Information Science
B.A. Mathematics
3. MATH 246
Differential Equations
Highest level math course offered
16 students
Engineering majors
Math majors
Most students are engineering so focus is on
applications
4. ASSIGNMENT
Research-based projects would allow the
opportunity to
Get students thinking outside the box.
Give more challenging problems to students.
Answer the questions “When am I ever going to
use this?” by finding real life applications of
course material.
Incorporate cross-discipline and life skills by
including a written report and oral and visual
presentation.
5. ASSIGNMENT
Project Guidelines
Study a topic relating to the application of a
differential equations to a specific physical,
chemical, biological, engineering or other setting
6 groups of 2-3
6. Guidelines for your paper:
APA format.
10-15 pages
Include:
introduction presenting the physical problem and the model differential equation that
is relevant for it
section devoted to background information and theory behind the model/method
section explaining the specific situation you have chosen to model. Be sure to
define all variables and explain all constants
methods section showing the work to solve your situation
results section that presents the analysis and mathematical and/or numerical results
that you have obtained from your chosen situation
summary/discussion/conclusion, detailing the outcome and impact of your results to
the physical problem of interest
figures and graphs where necessary to illustrate your model, methods, work and
results
Appendix with any Maple calculations or MatLab code used
Project Timetable:
Due W 9/9: Groups turn in at least three ideas for a topic (topic will be approved by
instructor)
Due W 10/14: Abstract
Due W 11/18: Rough Draft of background/research and details of chosen situation
Due W 12/9: Final paper and presentation.
7. ASSIGNMENT
Outside of my comfort zone
Never created a rubric
Never graded a paper
Wasn’t sure what my expectations were
Went with loose guidelines
Students struggled a bit with such open
requirements
Worked out well in the long run
The flexibility gave room for creativity
8. LIBRARY PRESENTATION
Vision of library research
Prior semester had sub-par results
Concerned Librarian presentation too basic –
surprised Librarian made it course specific
September 30th
Prior to abstract due date
½ hour lecture
½ hour guided research
Following slides are the presentation given to
students:
Note the superhero theme – easier to relate to and remember
9. ABOUT ME
• Melissa D’Agostino
• Instructional Librarian
• Phone 410-674-1492
• mdagostino@cecil.edu
via minifigures.lego.com
10. SEARCH CONNECTORS
• AND
• Combine different ideas
• Finds articles that mention both
via periodictable.com; marvel.com
Rocket Raccoon AND Groot
11. SEARCH CONNECTORS
• OR
• Combine synonyms
• Finds articles that mention either
via marvel.com
Peter Quill OR Starlord
12. MATH LIBGUIDE
Library webpage
Subject Guides
Mathematics
http://cecil.libguides.com/math
Four tabs:
Basic Web Resources
Finding Scholarly Articles
Finding Books
APA Citations
14. LIBRARY PRESENTATION
Hour of guided research time in computer lab
Planned ½ hour but they were doing such good
work we didn’t want to cut them off!
Alleviating panic – students typically do initial
research late in process and can’t ask questions
Narrowing down topic through researching – trial
and error
Eliminated topics that were too advanced early
15. IMMEDIATE POSITIVE RESULTS
Topic selection
Topics got more interesting after library session
Equations of motion in relation to rockets became “A
Differential Analysis of the Standard Newtonian Equations of
Force and Motion Applied to Model the Launch of a Saturn V
Rocket”
Projectile motion became “Video Game Physics, Using
Numerical Solutions to Mimic Reality”
Topics included:
Band pass filter with RLC circuit
Epidemic SIR model (ebola)
Projectile motion in video games (Halo)
Geodesics applied to flight patterns over Earth
Launch of Saturn V Rocket
Population dynamics of dragons and unicorns
16. STUDENT FEEDBACK
To library presentation:
Most helpful info gleaned from presentation:
math research section to the library website
how to use databases effectively
APA citation handout
Definitely not a waste of time
To assignment as a whole:
Preferable to a cumulative test
Enjoyed real-world experience
Had never done a paper/project to this caliber
17. RESULTS
Best grades → worst projects
Used the most basic methods
Had the most disorganized papers
Overall:
Better topics
Better resource lists
Formatting issues
18. RESULTS
Validity of citations
54 total citations
8 scholarly articles
10 books
2 videos
34 websites
Ran the gamut – MathWorld Wolfram, National Geo, NASA
all great but many questionable websites used
Lack of in-text citations
Decided I wanted to incorporate group and/or individual projects into some of my courses for the 13-14 school year.
Research-based projects would allow the opportunity to give more challenging problems to students.
“When am I ever going to use this?” students had to answer question for themselves and get experience with a real-world application
Would contain cross-discipline/life skill aspects to them.
Would include a written report and oral or visual presentation.
Would give real life applications of course material.
I had hoped to incorporate larger projects into my MAT 246 course in Fall 13, but due to the amount of material to be covered in a course of only 3 credits I struggled to incorporate a project.
Fall 14 replaced Final Exam with group research paper and presentation.
Year One:
Students did well but topics were generic and boring
Research was subpar – added librarian to assist
Bring in Melissa
Knew Melissa did presentations to English classes, thought it would be helpful
Concerned that presentation would take up too much time (very hard to get through all material in this course)
Concerned presentation would be too generic, specific to writing courses
Hoped with her math background Melissa would come up with something appropriate for math course
Was surprised that librarian would make it class/math specific – rather than the same presentation to EGL101 that covers all the basics, we worked together to tailor it to this class assignment
Superhero themed presentation – math students appreciated the geeky theme – easier to relate to and remember
Boolean operators – and/or; note the commitment to superheroes – Rocket Raccoon and Groot are best friends and inseparable, so of course we always need to search for them together
Boolean operators – and/or; note the commitment to superheroes – Peter Quill goes by two names so we need to search for both to get all information on him
Math Specific Subject Guide – explain this is for whole math department, not just MAT246 – show off tabs – did live demo of certain databases like Science Direct, ProQuest Science
Hulk is link to APA handout – go through example
Had Brandie to answer questions about topics; had Melissa to answer questions about search techniques
Guided research time did wonders to alleviate panic – students typically do the initial research when project is due – this got them to good subtopics earlier! And most used resources they found during this research time
Doing research earlier allowed students to discover if topics were too advanced; able to research multiple subtopics and settle on the best one
Stressed that research and narrowing down a topic is a lot of trail and error – and stumbling upon gems!
For example, guided dragon/unicorn group to real animals that were comparable (lion/zebra; wolf/elk)
Also discussed with some the idea of the authority for that topic – which is what lead the Rocket group to NASA and finding the Saturn V Rocket Manual
Immediate improvement over previous year.
Immediate improvement in topics.
EX:
Equations of motion in relation to rockets became “A Differential Analysis of the Standard Newtonian Equations of Force and Motion Applied to Model the Launch of a Saturn V Rocket” (found Saturn V manual on research day)
Projectile motion became “Video Game Physics, Using Numerical Solutions to Mimic Reality”
Some had no idea how to search like that! Really appreciated the techniques offered
Some had no idea there was a math research page on the library's website!
Most had never done anything to this caliber – had only done literature research papers so very different experience
Students with the best grades going in ended up with the lowest project grades.
Most basic methods
Most disorganized papers
Overall:
Better topics; better resource lists
Terrible formatting issues
Lack of in-text citations
PUT ALL PAPERS ON FLASH DRIVE WITH PRESENTATION
Citations:
Some websites better than others – ran the gamut
Questionable: local news stations from the midwest, vox.com, history today, dictionary.com, a professor’s class notes, class ppt, random person’s powerpoint presentation on slideshare,
Better: MathWorld Wolfram, National Geographic, NASA