Monday, October 13, 2014

Mahavier, W. Ted


Challenges are a part of life that everyone faces. They help define us as individuals. They help define a person’s character, work ethic, and overall outlook on life. Dr. W. Ted Mahavier, a Professor of Mathematics at Lamar University has embraced and enjoyed challenges throughout his life. From struggling in calculus to getting stuck on his dissertation for nine months, challenges are what drove Mahavier to his success.

Born in Knoxville, Tennessee, Mahavier was raised in Atlanta, Georgia during the school years and spent his summers in San Leon, Texas. Being a small kid, he fought a lot as a child. Even as a young boy he could not run from a challenge. This challenge eventually grew when he began taking martial arts classes at the age of eighteen. Mahavier was a faculty advisor for the martial arts club at Lamar for ten years, he has had training in Hap Ki Do, Ai Ki Do, Tae Kwon Do, and he has even achieved a black belt in Kuk Sool Won. As a kid, when Mahavier was not fighting, he was often sailing with his parents or his friends, owning his first sailboat at age eleven. Once finished with high school, he decided, like many college freshman, that he needed to branch out and get away from home. With a sister finishing her degree at Auburn University, it seemed like an ample opportunity to test the waters while still having someone around (4).

Not knowing that mathematics would become a wonderful career, Mahavier began his undergraduate studies in physics at Auburn University. He loved the idea of solving real world problems, but he always had deeper questions. How did we know to use that formula? Where does that come from? Why does it work? Physics professors, not taking the time to fully explain all of these, said that all of the equations and formulas came from experiments. Later in mathematics classes asking the same types of questions the professors would show the derivations for where the equations actually come from. The curiosity about the why questions led Mahavier to mathematics. He embraced this challenge of finding out why something works instead of just succumbing to experimental data. As an undergraduate student Mahavier took a couple of classes that were taught following the ideas of the modified Moore Method. He loved one of these classes as it gave him an opportunity to solve challenging problems on his own and show others how he reached the solutions (4).

The Moore Method has an emphasis on a student’s learning to deal and cope with problems outside of the classroom. This method tries to increase the depth of a student’s understanding. The theory of this method is to do more than just scratch the surface and teach students what to do in the classroom. The method is based on the ideas of R.L. Moore, a Professor of Mathematics at the University of Texas from 1920-1969. His philosophy of a class was to select problems and theorems for students to prove and present in front of a class. In the Moore Method there is no use of textbooks, there is no communication between students; there is only a student and the problem at hand until it is solved. The modified Moore method “limits the amount of presentation done by the students, which makes the method accessible to lower-level classes, and facilitates using traditional materials and texts while still emphasizing student presentation” (2). “This technique fits well with the current reform movements directed toward involving students more actively in their learning. It prepares students for academia as well as industry by encouraging communication, presentation, writing skills, and critical thinking, while alleviating many of the difficulties that we face, such as complacent students, poor work attitudes, and low test scores” (2). Part of the idea is that students learn best when they mess up, try again, and eventually communicate the correct process to others (2). Mahavier is now an advocate of the Modified Moore Method, has co-written a book outlining his teaching methods, has taught numerous classes this way, and has given many lectures and presentations on his techniques. Mahavier’s first calculus classes were taught using the Modified Moore Method; these were his first introduction to what would later make up a large portion of his teaching career.

As an undergraduate Mahavier faced a number of challenges that almost prevented him from accomplishing so much in his career. In his first day of calculus via the Modified Moore Method, Mahavier thought he was going to fail out because he was given a bunch of problems he was supposed to know how to do. He thought he did not know how to do any of them, but with a little guidance from his sister, Mahavier soon realized he could do all of them. He just needed a closer look and a different perspective to make some connections to his previous learning. After his junior year, Mahavier considered dropping out of college. He was feeling burnt out from studying mathematical theory, and thought he had failed a modern algebra course. Passing the course he thought he failed, he decided it was worth it to come back and keep going (4). Had Mahavier not been a driven person who overcomes challenges he may very well have taken a very different path.

Mahavier graduated from Auburn University with BS in applied mathematics and a computer science concentration in 1985 (3). Shortly after graduation he took a job in industry (4). Mahavier “investigated multiple-vehicle tracking systems via Monte-Carlo simulations and developed terrain modeling codes” (3). He then got bored “working on other people’s problems… and wanted to work on [his] own” (4). At this point Mahavier’s father had developed lung cancer. Wanting to continue his education and be close to his father, Mahavier decided Emory would be the right place for him to further his studies (4). While studying for his masters, he faced more challenges. Some of these challenges came simply from the nature of his studies. Mathematical theory is a very difficult topic; it is not a surprise that Mahavier faced some tough ideas. After just one semester he was ready to give up once again. However, a very helpful sister, like before, was there to encourage and help him overcome his challenges (4). Mahavier also held a teaching fellow position at Emory as he worked through his masters. Completing his MS in 1990 from Emory University, Mahavier decided to further his education even more (3).

Mahavier chose to go to the University of North Texas for his Ph.D. It was at the University of North Texas that he took many more classes based off of the Moore Method. “He took more than a dozen courses taught via the Moore method from a total of nine academic descendants of R.L. Moore or H.S. Wall” (1). These classes were difficult for Mahavier as he had to figure everything out on his own, but therein was also the desire for these classes. These classes were thrilling because of the challenge of problem solving, and the challenge of developing an understanding of the material to a deeper level (4). While working on his dissertation Mahavier was an adjunct instructor, an assistant instructor, and a teaching fellow. These all came at various times throughout his Ph. D. work, which helped him support his wife and himself. Mahavier married Cathleen Jean Cole in 1990 (3). After work on his dissertation had been going smoothly, it all came to a sudden halt for him. He got stuck for nine months (4). However, with his desire to overcome challenges Mahavier completed his dissertation on “A Numerical Method for Solving Singular Differential Equations Utilizing Steepest Descent in Weighted Sobolev Spaces” in 1995 (3). His work on his dissertation was a “blend of theory… and programming” as he attempted to model real world problems through programming while looking at and searching for optimal Hilbert Spaces in which to solve particular differential equations. (4).

After finishing his doctoral work, Mahavier began his career as an Assistant Professor of Mathematics at Nicholls State University. He was tenured and promoted to Associate Professor before accepting a position as an Associate Professor of Mathematics at Lamar University. From there Mahavier became a Professor of Mathematics at Lamar University in 2010 (3). Continuing his work on the Moore Method, Mahavier “has taught pure Moore method courses in analysis, calculus, discrete mathematics, topology and trigonometry. He has mentored more than a dozen faculty members, each of whom implemented the Moore method for the first time under his direction. Mahavier has delivered a dozen invited addresses on aspects of the method including implementation, administrative hurdles, and material development” (1). He had his co-authored book The Moore Method: A Pathway to Learner-Centered Instruction published in 2009. From 1996 to 2014 Mahavier was been a Board Member and the co-founder of MathNerds.org (3). This website was set up to give helpful instruction to over 250,000 students working on math problems without giving them the answer. In Moore Method form, the site is designed to guide students in their own learning of how to solve problems. Continuing his research, Mahavier has continued to search for “efficient algorithms to solve ODE’s” in order to model real world problems. While at Lamar, Mahavier also served as the Faculty Advisor for the Math Club for ten years (4).

Mahavier having accomplished so much is proud of more than just his work at institutions. A frequent escape for him to get away from the stress of work is to his sailboat. He spent many years restoring a sailboat until it was destroyed by Hurricane Ike (5). After losing all that time he spent restoring his old boat, his newest one, Aftermath, is getting a lot more time at sea. Mahavier said he has gotten a lot of mathematical work done on his boat as he calls it “a much more pleasant place to work than an office” (4). Mahavier also said that restoring and sailing is often “an escape to let the mind wander to less stressful ideas” (4). His passion for sailing has influenced Mahavier to become the Faculty advisor for the Sailing Club at Lamar University. Not only does Mahavier work on boats, but he has also restored and done all of the mechanical work to his cars and motorcycles. Mahavier, a father, is also very proud of his children. Caroline, Mahavier’s sixteen year old daughter is already in college. Austin, Mahavier’s twelve year old son, recently helped win first place in the nation in an online Math League Team Competition (4, 3).

Dr. W. Ted Mahavier is an extremely interesting individual who has had a marvelous career. He is a teacher that cares very deeply for the learning of his students. He is a college, masters, and Ph.D. Graduate. His work has influenced the way many students learn as well as the way many professors teach. Mahavier has always been a person that will not run from a challenge, but rather face it head first. The reason that he went into mathematics was “because it challenged [him]. [His] passion for it comes from how amazing it is when you do figure something out completely!” (4). Dr. W. Ted Mahavier is a man who loves his family, who loves his students, who loves teaching, who loves mathematics, and who loves challenges.
   
Written by Daniel Van Groningen            

Bibliography
[1] "About Ted." The Legacy of R.L. Moore. Lamar University, 3 Mar. 2012. Web. http://legacyrlmoore.org/mahavier/wtm/pages/ted.html
[2] Mahavier, W. Ted. "A Gentle Discovery Method." College Teaching 45.4 (1997): 132. Academic Search Complete. Web.
[3] Mahavier, W. Ted. "Curriculum Vitae." Lamar University, Web. http://www.jiblm.org/mahavier/pages/resume.pdf
[4] Mahavier, W. Ted. "Mathematical Biography Paper." Message to the author (Email Interview).
[5] Mahavier, W. Ted. "My (non-mathematical) Life." Lamar University, Web. http://www.jiblm.org/mahavier/pages/personal.html

Yackel, Carolyn



Mathematical Life of Carolyn Yackel

“Your greatest possible contribution to the world, including the world of mathematics, is to think creatively and deeply in the way that only you can.” (Yackel). Carolyn Yackel has always been inspired by mathematics. Her love for the subject began at a young age. Yackel discovered a passion for art, which then was connected to her mathematical background. Through mathematics and art, Yackel has expressed and shared her creativity that has led to collaboration and deeper learning.

Yackel found math important in her early years. Although she was still learning the basics, mathematical thinking surrounded her. From around the age of four, Carolyn Yackel thought she would become a mathematician. For most four year olds, growing up to be a mathematician was not on the top of their list. Because Yackel’s father is/was a mathematician (a probabilist), and her mom was a mathematics education professor, it was not a weird idea for her (Yackel). In her home, as a child, Yackel’s family had physical mathematical puzzles around the house as decorations (Q&A). Since her parents had strong math backgrounds, they gave Yackel age appropriate math problems to complete when asked. She found math fun and intriguing as a child. Whenever Yackel would make up nonsense, she was pointed in the correct direction to solve the problem. (Q&A).

Yackel attended the University of Chicago where she graduated with a Bachelor of Science in mathematics in 1992 (Yackel CV) Mathematics was not the primary reason Yackel chose to study at the University of Chicago. One of her goals was to receive a great liberal arts education and have a positive experience (Yackel). Following her undergraduate years, Yackel completed her Masters and Ph. D in mathematics at the University of Michigan. While at the University of Michigan, Yackel focused on commutative algebra (Yackel).

Yackel began her career as a professor as a Max Zorn visiting assistant professor of Mathematics at Indiana University in 1998. In 2001, Yackel began working at Mercer University in Macon, Georgia as an assistant professor in the mathematics department. After six years as an assistant professor, Yackel became an associate professor and still is today (Yackel CV). Yackel teaches mathematics to undergraduate students. Within the set of courses, she teaches mostly calculus, some statistics, introduction to proofs, and other courses she is asked to teach, which has included about fifteen different courses in all (Q&A). Yackel’s favorite class to teach is abstract algebra because she finds this area of math beautiful. Yackel finds peace in the organization that algebra creates and describes (Q&A).

Being a professor is interesting yet challenging for Yackel. Her career involves a variety of tasks to work on from day to day. Whether it is planning for class, holding office hours, grading papers, learning new mathematics, attending committee meetings, or conducting research, Yackel is always on the go. One of Yackel’s favorite aspects of her job is helping people understand mathematics. She finds it satisfying to help others determine what they enjoy doing (Yackel). With teaching come challenges. Math is very abstract, which means most of what happens occurs inside of each individual’s brain. Yackel has to rely on what her students are able to articulate, which is only a small fraction of what they can conceive (Q&A). To maximize understanding, Yackel focuses on highly interactive lectures and discussion.

Mathematics has not always been easy for Yackel. At times, Yackel has worked too far beyond the edge of her own understanding, which caused frustration and made it challenging to relate new material back to what she already knew. Working to discover examples to ground her, collaborating with other mathematicians or students to receive different perspectives, and gaining support help Yackel when she is frustrated (Yackel). Yackel learned that stepping away from a problem and returning to it after more knowledge has been learned is a viable solution. Through her students and colleagues, Yackel has the opportunity to grow in math with others as well as by herself.

As Yackel grew in her knowledge of mathematics, she began to express her excitement about math through art. Yackel has always been interested in art and crafts. She has been fearless when it comes to teaching herself crafts from a book. Around her first year of graduate school, she began to tie math and art together. She finds similarity between learning mathematics and learning crafts from a book. Both require reading each line again and again until it makes sense (Q&A). Yackel is a hands-on individual. Using the medium of fiber art, Yackel is able to express the beauty she sees in mathematics. On the other hand, art, at times, helps her understand math more effectively. Yackel is able to express symmetry through the making of temari balls. She finds the intricacy of some of the designs incredible (Yackel). In the making of temari balls, Yackel is able to make further mathematical connections and portray various concepts.

Throughout Yackel’s years a mathematician she has put on several workshops, produced numerous publications, and given several presentations. One of Yackel’s most memorable mathematical contributions is the establishment of Knitting Network (KN) (Yackel CV). Yackel partnered with sarah-marie belcastro to develop the KN, which began at the Joint Mathematics Meetings (JMM). The development of the KN at the JMM led to Yackel and sarah-marie belcastro co-organizing three American Mathematical Society special sessions on mathematics and mathematics education in fiber arts at the JMM (Yackel CV).

The Knitting Network is an informal get together/networking venue for mathematicians and fiber artists of all types to discuss mathematics, crafts and their intersection at the JMM. Because the gathering is very laid back, a great deal of mentoring and sharing of ideas occurs. People help each other better understand the crafting, mathematical ideas, the relationship between the mathematical ideas and the craft, how to formulate mathematical problems related to the craft, and simply encourage each other in their lives mathematically and otherwise (Yackel). Yackel has found a way to express the value of crafting to the mathematical community through the KN. As a result of the KN, a great amount of people have begun working on various mathematical problems that they see in their everyday work. People start to see and express mathematics inside the crafting and find it a valuable piece of the mathematical puzzle. Another way that the value has been expressed is through the mathematical fiber arts exhibits associated to the special sessions. The specifically fiber arts exhibits are one-day affairs specifically accompanying the fiber arts and math special sessions (Yackel).

Yackel and sarah-marie belcastro have co-edited two books on mathematics and fiber arts that are written for crafters, mathematicians, and mathematics educators (belcastro). Making Mathematics with Needlework consists of 11 chapters written by different authors. Each chapter has four sections: an overview intended for crafters and mathematicians, detailed mathematics for mathematicians, teaching ideas from elementary to graduate level, and a project with tested instructions. Crafting by Concepts has a similar format to Making Mathematics with Needlework with different teaching ideas and projects (belcastro).

Yackel has used her passion for both math and art to conduct several workshops. In 2012, Yackel gave four workshops regarding temari art (Yackel, CV). The mathematical level needed for each workshop differed from low to high, and the audience for each workshop varied from community members to students and faculty. The workshops were just another way that Yackel could show the significance between mathematics and art.

Outside of mathematics and art, Yackel enjoys gardening, cooking, sewing, knitting, crocheting, tatting, and reading. Although she is a busy woman, she finds time to hang out with her friends and her dog. In Yackel’s spare time she likes to think about and brainstorm new projects she would like to create (Yackel).

Throughout Yackel’s years as a mathematician, she has made an impact to not only the mathematics community but artists as well. Her passion for fiber art has allowed her to show and help others discover the value mathematics has outside of the typical mathematician world. Yackel’s strong desire and enthusiasm to help students uncover all that mathematics entails allows her to share her true passion.

Written by Holly Halstead

Bibliography

belcastro, sarah-marie. "The Home of Mathematical Knitting." The Home of Mathematical Knitting. N.p., n.d. Web. 08 Oct. 2014.

"Q&A with Carolyn Yackel." Interview. A Weekly Digest of the Mathematical Internet. Math Munch, n.d. Web. 07 Oct. 2014. <http://mathmunch.org/qa/qa-with- carolyn-yackel/>.

Yackel, Carolyn. Carolyn Yackel (CV). N.p.: n.p., Oct. 2014. PDF.

Yackel, Carolyn. "Life of Dr. Carolyn Yackel." E-mail interview. 3 Oct. 2014.

Hontz, Jennifer



Jennifer Hontz was born and raised in 1970 in the city of Raleigh, North Carolina. She attended Millbrook Elementary School, East Millbrook Middle School, and Sanderson High School in Raleigh, North Carolina. Her mother was her inspiration and role model as she was growing up and hoped to be just like her. Her first math memory was from her early years in the 1st grade. She remembers starting in the top math group and top reading group and was struggling with reading so the teacher dropped her down to the lower reading group. When she went to math group that day, she remembered thinking “I must be pretty dumb at reading but pretty smart at math.”

Math has always been her favorite area of study. One person who was of great significance in her life and inspired her to be a mathematician was Mrs. Kuhn, her Geometry teacher. Being a straight A student was important to Jennifer, but athletics and friends were equally as important. Some extracurricular activities she participated in were: cross country, swimming, track, and tennis. She was also part of the Fellowship of Christian Athletes, which is an organization that challenges coaches and athletes to use athletics to impact the world for Jesus Christ. The core values of this organization are Integrity, Serving, Teamwork and Excellence (Mission and Vision, 2014). Jennifer considered herself more athletic than smart in high school, but she definitely used her athletic talents in the right way by being a part of the Fellowship of Christian Athletes.

Jennifer graduated with two undergraduate Bachelor of Science degrees from North Carolina State University; one in Mathematics Education in 1992 and the other in Applied Mathematics in 1993. She continued onto grad school at North Carolina State University to complete a Ph.D. in Mathematics (Jennifer Hontz, 2014). She majored in Mathematics Education because she intended to teach high school math. Two things set her apart from being a high school math teacher: One was that she took Abstract Algebra and her math education students hated it, while she loved it. The second was that when she student taught, all of the teachers told her to “get out, get out now.” This made her decide to take the graduate school path and delay teaching for a while. Another reason for delaying teaching was because she looked very young, making teaching challenging. So she took another year to finish her math degree and then head to grad school.

While in graduate school, Jennifer spent a lot of time researching Kac-Moody Lie Algebra in order to get her Ph. D. She worked closely with Dr. Kailash Misra, professor of mathematics at North Carolina State University. Kac-Moody Lie Algebras are infinite dimensional analogs of Lie Algebras which are vector spaces over a field with a binary operation. Kac-moody algebras have a main role in mathematics and mathematical physics. They have a significant representation theory with many applications in different fields (Hernandez, n.d.). She completed this research while in graduate school, but has not done much research since.

The main reason she initially decided to go to college was because her parents told her she was going to. She is very happy with her academic path and has had a lot of great experiences, so she wouldn’t change anything. She has wondered if other decisions would have been better, but she has no regrets. Before moving back to Meredith College in North Carolina, Jennifer worked at the University of Dayton in Dayton, Ohio. She was an Assistant Professor of Mathematics for the two years she was there, but really missed North Carolina so she moved back home where she holds a teaching position at Meredith College. Her job emphasizes great teaching so it is a perfect fit for her.

Meredith College is a private college that has been around for over 100 years, starting with only 200 women in 1891. The campus now holds about 2,000 students, which includes a large group of men that are a part of the graduate programs at Meredith College. The school focuses on a liberal arts education and offers degrees in Bachelor of Arts, Science, Social Work or Music, and graduate degrees in business, nutrition and education (Jennifer Hontz, 2014). The college is unique in that it emphasizes preparing students for a successful career and life. They do this through a program called StrongPoints, helping students make the most of their college career. The program is designed to start with having students identify their strengths and then create goals that they will achieve in college and carry with them into life. Some things that StrongPoints focuses on are: strengths, personal interests, creating a portfolio for employment, building a network, and preparing for interviews.

Since abstract algebra is Jennifer’s greatest math passion, she has been fortunate to be able to teach Abstract Algebra and Linear Algebra while at Meredith College. Additionally, she teaches Calculus l, ll, and lll, Statistics, and Senior Seminar. Outside of teaching, she holds many important leadership roles and is very involved in campus clubs and activities. She is the Math Club Advisor, Academic Council Representative, and Paschal Scholars Pl. She is also an active participant of the Mathematics Association of America at the National and Sectional level (Meredith College, 2014). Meredith College holds a one week residential mathematics camp for women entering the 10th grade called Math Week, which Jennifer plays the important role of co-director. The camp is held at Meredith College in the summer and called Math CAMMP (Comprehensively Applied Math Manipulatives Program). The camp has educational activities involving math, technology, and engineering. Participants have the opportunity to connect math with real life applications, build and program machines and robots, and experience a week on a college campus.

Jennifer has been involved in two professional development panels, one at North Carolina State University and one at Duke for mentoring future faculty as a faculty member at Meredith. She also participated in the program as a student. At the professional development pannel, she discussed the Preparing the Professoriate (PTP) process. This process is for graduate students to be trained in their discipline, mathematics. However, they are not taught how to teach their discipline. The program focuses on the entire professional life of a faculty member, with focus on teaching.

She is most proud of The Paschal Scholars program since she is the Pl of the National Science Foundation grant that funds this scholarship program for Science, Technology, Engineering and Math education students (STEM) students. We mentor STEM students and support them as they go through their major with programming and scholarship money. The Paschal Scholars Program helps students pursue careers in mathematics, computer science, science and engineering. Participants receive a scholarship of $2,000-$2,500 and get to be a part of a learning community. The mentoring program prepares students for jobs in industry, government and education. The program also gives students the opportunity to explore graduate schools in their choice of study. The scholars get to attend a convocation about the importance of women in the fields of science, technology, engineering and mathematics (Paschal Scholars, 2014).

Jennifer has two kids, Justin and Kristin. Justin is seven years old and Kristin is ten years old. She is seen as a strict and loving parent by her two kids. She is big into hiking and training for sporting events. The sporting events she trains for are triathlons and half-marathons. Her family enjoys vacationing out west in the mountains. One thing she recommends people do is to step outside of their comfort zone because you learn a lot about yourself and your values by stepping outside of your comfort zone.

Since she is a parent of a seven and ten year old, her main focus has been on personal and family goals and her professional goals are currently on hold. In a few years, Jennifer hopes to get elected to positions in the MAA Southeastern section. She additionally hopes to receive more NSF funding for the Paschal Program. Jennifer Hontz has done great things as a mathematician and will continue to be successful at Meredith College.


Written by Jenna Fitzgerald

Works Cited

Fellowship of Christian Athletes. (2014). Mission and Vision. http://www.fca.org/about-fellowship-of-christian-athletes/mission-and-vision/

Fitzgerald, J. (2014, October 7). Email interview.

Hernandez, D. (n.d). An introduction to affine kac-moody algebras. Retrieved from http://cel.archives-ouvertes.fr/docs/00/11/25/30/PDF/Hernandeznotes.pdf.

Jennifer Hontz. (2014). Retrieved from http://www.zoominfo.com/p/Jennifer-Hontz/456972571.

Meredith College. (2014). Jennifer Hontz. Retrieved from http://www.meredith.edu
/directory/jennifer_hontz.

Merideth College (2014). Paschal Scholars Program Application. Retrieved from http://www.meredith.edu/images/uploads/admis_paschal_application.pdf.