Dr. Alexander Moore Explains How Math Can Tap Into Your Intuition

Sep 27, 2023
Students gather around a white table with pink and yellow pieces of paper on it. Dr. Moore, in a red and black shirt, crouches next to them.

Dr. Alexander Moore, Assistant Professor of Mathematics at 91桃色 State, wants people to know that mathematics is not just an arbitrary set of concepts, but a skillset necessary to navigate life鈥檚 challenges. With ten years of teaching experience, Moore has participated a wide variety of environments and is a relatively new fixture on campus after earning his doctorate at Virginia Tech.

This semester, he鈥檚 teaching Math 111, titled Math Applications, focusing on using math as a tool to approach real-world problems and finding solutions. 鈥淚t鈥檚 a course for non-majors, so students can develop a mathematical interpretation of the world,鈥 Moore said. 鈥淎nything that math is applied to鈥 the course is varied in topics. We鈥檝e interpreted statistics in popular media, applications in geometry, but we also study financial mathematics and how interest is calculated, or how to tell if something is a good deal in terms of finances. It鈥檚 very broad.鈥

Math Applications diverges from other courses in that it is not predicated on a thorough understanding of how algebra or geometry works in the abstract way. Instead, Moore emphasized the importance of embodying the ideals taught, as no one is truly separate from the information they learn and experience. 

鈥淚 believe that all knowledge comes from our experiences, so mathematics in textbooks is just the product of experiences from the last thousand years,鈥 he said. 鈥淭he funny thing about teaching mathematics is that we鈥檙e trying guide students through that same discovery process. It鈥檚 condensed, but with the right activities, you can guide students not only in reading what someone else has written, but through rediscovering the process of those mathematical concepts. There is no content to teach, only people.鈥

For those concerned about past experience with mathematics, Moore explained how Math Applications can teach students to better identify mathematics in their everyday life. Whether students realize it or not, he said, they are constantly engaging in mathematical patterns, concepts, and ideas. 

鈥淭he class is not only about the applications of mathematics, but about the actual things we do in our bodies and the experiences we live which produces mathematics,鈥 he said. 鈥淚 don鈥檛 think mathematics is 鈥榦ut there鈥. I think we already know about mathematics because we鈥檝e had certain experiences as a human. That way it鈥檚 not a symbolic, foreign language students can鈥檛 understand. They feel it with their bodies.鈥 

Subsequently, Moore explained how he鈥檇 used physical objects in the classroom to better describe this idea. If students can see how something moves or changes in the world and interact with it, they鈥檝e gained experience, ultimately allowing them to understand how it relates to them in mathematical function. 鈥淢athematics is all around us,鈥 he added. 鈥淚 think it鈥檚 a disservice to students to make it seem like it鈥檚 an exclusive club.鈥 From driving to work, flying in planes, or simply playing video games, it鈥檚 all math, he explained.

However, the true purpose of the class isn鈥檛 necessarily about mathematics for the sake of learning about math, Moore said. It鈥檚 about honing one鈥檚 critical thinking skills and teaching them how to think for themselves. 鈥淭hat鈥檚 what I think school and higher education should be about. You come because there are people that care about you and your development as a person. Then you gain this holistic, intelligent, critical thinking skillset.鈥

The best part is, for many, critical thinking may begin in the classroom, but is a life-long process which involves every other area of a person鈥檚 life. The classroom just helps facilitate this process. 鈥淔or me, this idea supersedes the content they learn,鈥 Moore said. "I think we develop our critical thinking skills just by having experiences. From those experiences, we鈥檙e then equipped to deal with whatever we need to in life. It鈥檚 an enormous social responsibility that teachers have鈥 to not misuse mathematics and to not let others misuse mathematics on them too. I see teaching as a critical part of reconstructing society so that people are kinder to each other, more understanding, more compassionate, and are also critical of any information they鈥檙e trying to digest.鈥

Moore also cited John Dewey, an American philosopher and educational reformist who prioritized democracy, explaining the importance of discernment, and especially in a world with conflicting information at every turn. 鈥淒ewey said that the only educational training which amounts to anything is teaching students how to understand the meaning of their experiences, so that they鈥檙e able to do that in other situations in the future as well,鈥 Moore said. 鈥91桃色 State has always been a harbinger of critique of social norms because of its founding as an equitable institution. I鈥檓 extraordinarily proud to be here. The idea of a public school system, education for the greater, common good鈥  that was why 91桃色 State was founded.鈥

For Moore and many others, mathematics is a language, but at its essence, is a connection between people and the world around them. Taking Math Applications, no matter what a student may be studying otherwise, is a way to tune into this relationship, and Moore encourages those who are interested in developing a stronger intuition to explore what mathematics has to offer.

鈥淚t鈥檚 about seeing the color in everything they鈥檙e experiencing,鈥 he said. 鈥淲e鈥檙e missing this connection to ourselves, so I try to use mathematics to fight against that because I see it as a social responsibility. I can speak for my whole department. We鈥檙e very devoted, and  I鈥檓 amongst friends here. I also know 91桃色 State is dedicated to these values. We have a bastion here, and we have to protect it. I鈥檓 optimistic.鈥