[Julie Jung] EDCP 442 Mathematics History for Teachers

The maps were created by expert sailors using sticks and cowrie shells to record the relationship between land and sea. The two types of Marshall Island stick charts are what I found interesting. The map, a rebbelib, covers all or a significant portion of the Marshall Islands. The other chart of a type known as a Mattang was designed to serve as a training ground for those chosen to serve as navigators. It shows a broad overview of swell movements around small islands.   Embodied mathematics is significant in the history of math as ancients found some mathematical concepts through it. The reading shows that they absorbed knowledge from the environment. Specifically, the people of Marshal Island used both their sense of direction and their observation of wave motion to determine the pattern of the swells.   Interactions with our environment lead to learning, and we learn through bodily movements. Students use gestures to express what they are thinking, and embodied activities c...

Our topic for the assignment will be "Tesselation". The Draft Reference List is as below:  Fathauer, R. (2020).  Tessellations: Mathematics, Art, and Recreation . CRC Press. Kizilörenli, E., & Maden, F. (2021, November). Tessellation in Architecture from Past to Present. In  IOP Conference Series: Materials Science and Engineering  (Vol. 1203, No. 3, p. 032062). IOP Publishing. Taggart, E. (2021, September 20).  Take a tour of tessellations, the mathematical art of repeating patterns . My Modern Met. Retrieved November 29, 2022, from https://mymodernmet.com/tessellation-art/  Tessellation patterns - from mathematics to art . Widewalls. (n.d.). Retrieved November 29, 2022, from https://www.widewalls.ch/magazine/tessellation-mathematics-method-art  Artincontext. (2022, April 21).  Tessellation art - A guide to the art of Tessellation Patterns . artincontext.org. Retrieved November 29, 2022, from https://artincontext.org/tessellation-art/  A...

      “ The Greeks were concerned with the education of free men as future citizens. Plato, whose plan was a theoretical one probably never put into actual practice but nevertheless reflecting the spirit and ideal of his period, conceived of such education as the sole occupation of the first thirty-five years of a man's life… Only then would a man be equipped to take his rightful place as a useful member of society” (Shrader, 1967, pp. 264) .  This  statement  portrays that how education is taken seriously by Greeks. For me, who has been  going through the  curriculum for nearly 20 years, it is tremendous to focus 35 years on education. At the same time, I fully agree with Plato’s thoughts and opinion on education. While in the curriculum, I personally feel that education is endless, and life is a series of learning.  I would also define a teacher as a lifelong learner. Also, I think that teacher is like an agent of agency that guides ...

    The first line of Millay’s poem elevates Euclid above the rest of humanity in terms of intellectual insight. By stating that “Euclid alone has looked on beauty bare”, she thinks that Euclid is the only person to have truly looked on beauty. I think Millay expresses the massive value of Euclid’s contributions in this way. Also, it implies that she defines beautyas something mysterious and extraordinary.     One of the greatest mathematicians of all time, Euclid is frequently referred to as the "father of geometry." I believe Euclid is influential since his work is more than just an explanation of geometry or even mathematics. He proposed the mathematical thinking that implies that mathematics is a logical system. The ideas of western philosophers have been influenced by his use of logic and proof for every theorem up until today. Descartes and Newton, two great philosopher mathematicians, used Euclid’s framework and format to demonstrate their works as w...

                 It was astonishing to see the integration of math education and performing arts through this video. Overall, it is very interesting that they embody Euclid’s geometric construction, which include the concept of circle, radius, and an equilateral triangle. Specifically, they use their arms to represent radius, and move around to make a circle while considering their bodies as a centre of the circle. By thinking and proving the concept step by step, this would definitely help students’ deeper understanding of the concept. During the last history class, we also experienced this activity and I thought it was very enjoyable and engaging, which I believe as the most important objectives of learning. As this activity requires collaboration in the group, I thought it can help students build relationships with other peers. Personally, it did not simply end with learning, but I could also appreciate the beauty of mathematics in th...

            I believe that acknowledging non-European sources of mathematics and delivering the ideas to students as a math educator would make a difference in our student’s learning. Due to the long-standing belief that European scholars invented mathematics, the contributions of non-European nations have received little attention in the histories of mathematics. Educators should utilize historically accurate educational materials and base their lessons on an all-inclusive curriculum to foster a safe and welcoming environment for students with culturally different backgrounds. I also think acknowledging non-European sources is critical for a balanced education that would motivate students. For instance, if there is a mathematician with the same cultural background, this would make the student so proud and take a lively interest in learning the specific concept. For the last project in this course, our group got an idea to geometrically prove the formula fo...