Lisa's Blog

 The topic for this assignment will be tessellation Below are the references  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/   Artistic format fo...

  One of the interesting things I’ve found from this reading was about a person called Thābit.    Thābit was the person who lived from 836 to 901 and had a gift for languages. Translators were employed by wealthy families as well as by caliphs in that time. Thābit was a member of the sect of star worshippers whose religious beliefs were abhorrent to Muslims. His linguistic talents were discovered by Banū Mūsā. He also had mathematic talents that could make great results in science. Finally, he could earn a place of honor in the caliph’s retinue. By reading this book, I was really impressed onThābit’s various talents.     Another point that interested me was Al-Khwārizmī’s principal contributions. He contributed to the four areas of arithmetic, algebra, geography and astronomy. One of the books he contributed was ‘The Book of Addition and Subtraction According to the Hindu Calculation’ which introduced decimal positional system and made system convenient. Mo...

  There were three quotes that made me to stop and think. One of the quotes was “A knowledge of three subjects of the quadrivium was involved: music, arithmetic, and astronomy”. I could know what kinds of specific subjects were involved as part of quadrivium which was based on the learning of antiquity. For the arithmetic, I could know that it shows its Greek origins very well.   Moreover, the arithmetic of business was called logistic, and it was considered different from the arithmetic which was a philosophical study.   Second quote I was interested was “Nicomachus of Gerasa (c. A.D. 200) wrote much on number mysticism, a sort of theology of numbers”. It was interesting to know that Nicomachus considered the odd numbers as male and even numbers as female. Moreover, he made a strange distinction between the “divine number”.   He sorted general concept of number that only existed in creator   - god ’s mind and scientific number that were common numbers known to ...

  In Edna St. Vincent Millay’s poem, Millay expressed Euclid as “alone” and has looked on “Beauty bare”. By looking at this, I believed that Millay viewed Euclid as a level of cerebral from rest of humankind.   Also, when I read this poem, I could realize that the word “Beauty” has written in capitalized word.  I think the reason Millay capitalized could be making it as a proper noun.   Lastly, I could realize that “Beauty” has been seen by “Euclid alone”. I assume that “Beauty” can be mysterious person or mathematical idea that can be searched on.     I think Euclidean geometry has been so popular for many centuries and still studied today because it contains not only proofs with sentences but also it includes some visuals. I assume people can enjoy doing their proofs by drawing lines, circles etc.…with sentences.   Unfortunately, I did not enjoy doing Euclidean geometry as I memorized a lot when I did the proof questions. However, I might have enjoye...

One of the things that made me to stop and think was that mathematic can be performative and expressed as a temporal beauty of dance. Many people consider mathematic as purely abstract   and requires lots of practices and thinking processes by our hand and paper. After watching video and article, I could think that it can also involve our body and experience as part of learning.   Another thing that I thought was that dancing Euclidean proof can help students to internalize and mental recreation of proof. By performing dance, students need to make their decision, practice a dance and memorize the steps. This process will improve their understanding of the Euclidean proof.   I could experience this as well when I did ‘dancing Euclidean proof’ in class. I could understand the proof well by planning and practicing the dance performance with my group members. Moreover, I could enjoy and be engaged and this proof became memorable for me.   Secondary school students might ...