ADMINISTRATION, TEACHING AND RESEARCH PHILOSOPHIES Dr. Florentin Smarandache Professor of Mathematics University of New Mexico 200 College Road Gallup, NM 87301, USA E-mail: [email protected] URL: http://fs.gallup.unm.edu/ Tel.: 505-863-7647 (office), 505-726-1720 (home). A simple, direct, fast point of view regarding my perception of Administration Philosophy, Teaching Philosophy, Research Philosophy (including My Own Research), and What I Can Bring to This Institution. 1. Administration Philosophy - The Department Chair is an administrator (not a ruler) in order to serve the Faculty, students, the Dean and the Provost; - Chair is an interface between Math Department Faculty and upper level administrators; - Collective Leadership in the department, i.e. all important actions and decisions taken by departmental discussion and vote; we thus learn to accept decisions taken by the majority; - Delegation of responsibility and authority to Faculty (decentralization within the department); - Analyzing the recommendations and suggestions from Faculty and staff; - Flexibility of Chair and Faculty; - Fairness of the Chair and Faculty; - Active listening of Chair and Faculty; - Students first; - Canals of communication with departmental Faculty and staff: through emails to all of them, plus printing the email and putting it in everybody’s mail box (internal mail); telephones; appointments; - Similar communication with the upper level: Dean of Arts & Letters College, Provost; according to Confucius Theory where the order and discipline is a way of life, the Chair follows the upper level administrators. - Short department meetings as needed; - Meeting agenda made before the meeting and sent to everybody about one week ahead; new agenda items can be added, or other deleted as per Faculty request; - Evaluation of performance of Chair and Faculty; - Availability of the Chair and Faculty; - Socializing the whole department through: pot lucks, going together to restaurants, sport if possible, hiking, swimming; - Considering empathy to solve conflict, i.e. everybody should respect the other one and his/her ideas – even if not agreeing with him/her (using fuzzy logic and neutrosophic logic, where something or somebody can be partially true and partially false in the same time – so we need to work together even if we are different); - We are influenced by each other; that’s why we need to be positive to each other (because otherwise negativity would propagate); we need to rely on each other; - Everybody has different beliefs and attitudes, therefore we need to converge all of them to the Departmental and College goals; - It is normal in a group of people to have conflicts and contradictions; we need to bend the contradictions; we need to learn to live with contradictions and try to diminish contradictions; - We learn to live with challenges as well; - Collaborative team work; - I am popular; students, faculty, staff call me Florentin. 2. Teaching Philosophy - Infusion of Technology in the class room: graphing calculators (Texas Instruments, Casius, etc. calculators) for undergraduate and graduate students; mathematical software such as “Mathematica,” “Apple, “ and other computer algebra systems; - Teaching through undergraduate or graduate research; telling students to question themselves; encouraging students to ask questions in class (to have a dialogue, not a monologue in class); - Offer Honor Classes; - Distance Education; teaching online more classes and programs; - Attract students by doing math through games, math for kits, math jokes, funny math, recreational problems, showing students the math used in our everyday math; An example of the importance of the space in mathematics I often tell my students in various classes: a) On a power line there are 10 birds. A hunter kills 3 of them. How many are left? b) On a plain in the grass there are 10 birds. A hunter kills 3 of them. How many are left? c) In a cage there are 10 birds. A hunter kills 3 of them. How many are left? d) In the sky are flying 10 birds. A hunter kills 3 of them. How many are left? My students laugh when trying to guess the answer. And next times they are again asked me: can you tell us more funny problems? - Or tell them about the Beauty of Math! 1 x 8 + 1 = 9 12 x 8 + 2 = 98 123 x 8 + 3 = 987 1234 x 8 + 4 = 9876 12345 x 8 + 5 = 987 65 123456 x 8 + 6 = 987654 1234567 x 8 + 7 = 9876543 12345678 x 8 + 8 = 98765432 123456789 x 8 + 9 = 987654321 - Develop and adjust the Curriculum for the needs of the students; - Foster students’ learning; - Being creative in teaching; continuously updating and improving the style of teaching in order to avoid monotony; - Adjusting the teaching methods depending to the type of students: there are visual learners, and audio learners; - Examine students learning style in order to adjusting the teaching style for their way of understanding; - Interacting with students; - Stimulate students by giving them extra-points towards the final grade for extra-homework and for class participation (I have students solving problems on the board during the class time and explaining them to the other students); - Active learning, not passive learning; logical learning, not mechanical learning; - Learning in groups; - Learning by connecting the new knowledge with old knowledge; - Making connections between math knowledge and other domains’ knowledge; - Exchange teaching ideas with other faculty from this institution or from others; - Applicability of Math: make students understand that math is important in our real life; - Bringing students off from monotony and passivity by telling them funny math stories, math curiosities, anecdotes about mathematicians, also about mathematicians’ lives, etc. - Evaluate students’ critical thinking, problem-solving, technical writing, content knowledge; - Discover students’ psychology of learning; - Challenge students’ intellectuality; - Short History of Math told to students when teaching a special topic, so the students see the evaluation of the topic, why it was needed, how it arose; 3. Research Philosophy - Research that benefits the students and the society; - Educate students through research; - Be a model for the students; - Use deductive and inductive methods of research; - Undergraduate or graduate research projects assigned to the students; - Attracting students to do research by involving them in our own research; - How to generalize a problem? How to generalize a theorem? What about if the given hypotheses of a theorem are changed? Check many examples. Check corner cases. Trial and error in research - Explore in depth the topic; do a survey of the literature - Ask for help if not able to solve a problem, and thus co-author the research; - Break down a bigger problem into smaller problems, and then solve each of them; - Make connections with other subjects; - Aboard the problem from various angles, various methods; - A small idea sparkle can lead to a great outcome; - Solve real problems; - Keep a professional integrity; - Interdisciplinary research; - How to mathematically model a real problem? - Research in teaching: how to better methods and strategies of teaching? How to motivate the students to learning? - Research in pure and applied math; - Research in order to solve existing unsolved problems, open questions, conjectures; - Thinking differently! Sometimes a stupid apparently question can lead to a genial idea! {For example, why differentiating 2 or 3 times and not… 2.7 times? And similarly for integration. This lead to the fractional differentiation and fractional integration.} - Question the classical theories to see if it’s room for alternative or generalizations (look for example at the evolution from Euclidean Geometry to its opposite Non-Euclidean Geometry); - What research methods to use? - Disseminate the research results; how are they useful to the society? Theoretical research can lead to applications; - Look for Research Grants and Fellowships for students and Faculty; - Create a Digital Library of Math e-Books and e-Articles as support for the research; - I partially paid for my Conferences trips; I did most of my research in my spare time (especially in weekend, or after classes); - Research for me is a hobby. My Own Research - Applied Mathematics in Information Fusion (used in robotics, airspace, military, medicine); - Granular Computing (Neutrosophic Logic and Set and their applications); - Algebraic Structures; - Applied Mathematics in Quantum Physics, Statistics, Economics; - Non-Euclidean Geometry; - Number Theory (Arithmetic Functions, Sequences, Diophantine Equations and Systems, Prime Numbers). 4. What I can bring to this institution: - “Progress in Physics” international journal of physics and mathematics will becomes Texas A & M University-Kingsville’s international journal (the correspondence address would be that of this institution); I am an associate editor of this journal since the journal was founded in 2005, and I get all work in my spare time – without asking for release time or for a penny from my university; - Publish periodically a collective volume of research math papers of our math Faculty; then put the book in international scientific databases, such as EBSCO, CENGAGE, ProQUEST, Amazon Kindle, Amazon.com, Google Book Search, Google Scholar - Endorse Faculty who did not yet submit papers to arXiv.org (online scientific database at Cornell University, NY); - A Digital Library with over 300 titles of e-books and e-journal issues and over 100 scientific papers for the benefit of students, researchers and professors from around the world [for example this site of mine has presently about 7,000 hits/day from people from about 100 countries]; - Donation of books and journals periodically to the TAMUK James C. Jernigan library; (by the way I have a special collection at The University of Texas at Austin, Archives of American History); - Attracting more students from around the world to do their graduate study in pure or applied mathematics at this university due to this Digital Library with free e-books and e- articles; I am in touch with many people from around the world and they asked me if I can be an advisor for their future or if I know someone else to recommend to them; - 62% of the students at TAMUK are Hispanics; I speak and understand a little Spanish (which is a romance language close to Romanian and French that I am fluent in); - I also have a degree in Computer Science (M. Sc.), therefore I can interact with the Computer Science Department for interdisciplinary research (for example in Granular Computing); - Search for more Grants and Fellowships for students and Faculty; - Organizing the AMATYC [American Mathematical Association for Two Years Colleges] Competition for undergraduate math students (if it is not already in place herein; checking your website I did not find it); - Cooperating with Dr. Reza R. Ahangar, the advisor for his the Math Club, and with other interested Faculty in order to make a similar Funny & Recreational Math Problems Club (to show the students the beauty of math!), Math jokes (to get out of the teaching monotony); this would also attract students to math; - Setting up, if needed, of a Reconciliation Committee, within the department in order to discuss with the conflicting parties and try to reconciling them; - Introduce Math Labs associated with many math courses [of course if approved by the Curriculum Committee] in order to assist students in doing their homework (that’s, for example, what UNM does for undergraduate classes: Intermediate Algebra, College Algebra, Pre-Calculus, Trigonometry, Calculus for Business, etc.) of 1 credit hour in order to increase retention; - Add new graduate classes to the current core of classes that I can teach, such as: Number Theory, Abstract Algebra, Neutrosophic Logic/Set (Generalization of the Fuzzy Set/Logic), Foundations of Non-Euclidean Geometry, Mathematics Applied in Information Fusion, Granular Computing; a bigger diversity of math courses and programs attracts more students; - Try to develop a Ph D Program in Math, or in Bilingual Mathematical Education (derivative of Ph D Bilingual Education Program already existent in the College of Graduate Studies) – of course if approved by the Curriculum Committee and the upper level administrators. References: Jong S. Jun, What is Philosophy of Administration?, Administrative Theory & Praxis, Vol. 15, No. 1, 46-51, 1993. Richard E. McArdle, A Philosophy of Administration, mss. Candace Davies, A Philosophy of Administration and Leadership is an Added Marketing Document, http://resumes-for-teachers.com/blog/philosophy-statement/ Lee Haugen, Writing a Teaching Philosophy Statement, Center for Teaching Excellent, Iowa State University, 1998, http://www.celt.iastate.edu/teaching/philosophy.html Tara Kuther, Writing your Statement of Teaching Philosophy, Graduate School of Management, http://gradschool.about.com/cs/teaching/a/teachphil.htm William M.K. Trochim, Philosophy of Research, 2006, http://www.socialresearchmethods.net/kb/philosophy.php Irvin T. Nelson, Statement of Research Philosophy, http://www.usu.edu/account/faculty/nelson/itnresphil.htm Frank Crossan, Research Philosophy: towards an understanding, Nurse Researcher, Vol. 11, No. 1, 46-55, 2001.