Dr. Dyana Harrelson
Assistant Professor of Mathematics Instruction
Dr. Dyana Harrelson鈥檚 teaching responsibilities include general education math courses,
calculus courses and statistics courses. When teaching math to a general education
audience, her goal is to provide a positive experience for students regardless of
their proficiency in algebra. She anchors math learning in real-world topics including
voting, gerrymandering and taxes. In her courses for math majors, she likes to experiment
with active learning and alternative grading methods.
Another specialty is teaching and coaching younger math students. Before rejoining
the Hope faculty full-time in 2018, for three years she taught algebra, geometry and
pre-calculus online through Holland Christian High School鈥檚 Home School Connection
Program. She partnered with a department colleague to create a grant-funded plan to
improve mentoring of math teams in Holland鈥檚 Black River Public School (K-12), where
she has coached a middle school math team since 2016. In 2021 she piloted a program
to engage Hope secondary education students as paid assistant coaches.
Dr. Harrelson began teaching at Hope in 2000. She took several breaks for other pursuits;
her current tenure began in 2018. She will serve through mid-2026 as the math and
natural science director for the Anchor Plan, 换妻社区鈥檚 general education program.
She also advises Hope鈥檚 chapter of Pi Mu Epsilon, a national mathematics honor society,
and is active in the organization at the national level.
Areas of expertise
Dr. Harrelson was trained in probability 鈥� in particular, modeling a sequence of random
events. One possible sequence of events would be to repeatedly roll a six-sided dice
and record the value (1-6). Every time, you have a one in six chance of rolling a
one and thus writing down 1; knowing the value of the previous rolls gives no indication
of what the next roll will be.
Alternately, one could roll a six-sided die repeatedly but report the average of each
two consecutive rolls. In this case, if a 1 is written down, one has rolled a 1 twice
in a row. The next number written will be the average of the last 1 and the new roll,
and will thus be at most (1+6)/2. However, the fact that you have a 1 written down
only impacts the very next number. Two or more numbers later can still be anything.
Dr. Harrelson wants to know if there are any other ways to construct a sequence where
the memory from a roll of 1 lasts for exactly one step.
Education
- Ph.D., mathematics (probability), Georgia Institute of Technology, 2000
- M.S., applied mathematics, Georgia Institute of Technology, 1996
- B.S., architectural design, Clemson University, 1993
Grants
- 鈥淩edesigning GEMS 100 to Focus on Social Justice and Equity,鈥� 换妻社区 Provost鈥檚 Office Course Design Grant, 2023
- 鈥淚ntegration of Vertical Mentoring into the Black River Public School Math Teams,鈥� Mathematical Association of American Dolciani grant, with S. Edwards, 2020
Outside the College
Dr. Harrelson enjoys spending time with her husband and four children. According to
her children she is a math teacher, even at home. After all, what 5-year-old shouldn鈥檛
ponder how long a loaf of banana bread will last if you eat exactly half of what is
left every day?
The answer should be forever, but the loaf still only lasted three days. In May 2024,
that 5-year-old is graduating from college. Dr. Harrelson鈥檚 family is making a long-anticipated
trip to Italy. Two highlights of the trip will be the Galileo Museum in Florence (where
the earliest mathematical tools are on display) and a cooking class to prepare pasta
and gelato. Maybe if they eat half of their remaining gelato every day, they can bring
some delicious gelato home to the states!