Hyperbolic geometry

The Van Hiele Levels of Geometric Reasoning describes how students learn geometry. It was a theory worked on by Pierre Van Hiele and his wife, Dina Van Hiele-Geldof. They were Dutch researchers and teachers. They came up with this theory at the University of Utrecht in the year 1957. The Van Hiele’s did multiple research experiments and it took years for them to complete this thesis. Shortly after the thesis was complete, Dina passed away (Šafránková, 2012, p. 72). These levels have five…

constructing the idea of geometry using their imagination and creativity. Anus is a boy who enjoys all kinds of hands-on activities. One…

Research shows that Hypatia of Alexandria was one of the first women to make substantial contribution to the development of mathematics. She lived in the great center of ancient learning; Alexandria, Egypt, in the 4th century A.D. While it t is assumed that she studied mathematics under her father, Thon of Alexandria; it is known that she was the head of the Platonist school in Alexandria around 400 A.D. Hypatia contributed in many ways to math; it is said that she edited the work on “The Conics…

The history of mathematics in the near consisted of three distinct divisions of time. The mid-third millennium is when there became evidence for knowledge of symmetry and geometry. Then continuing on into the later third millennium the establishment of accounting for time and labor became prevalent as well as the use of the sexagesimal place value system. The first systematic accounting techniques were developed in the southern Iraq city of Uruk as a result of a growth in the size of the city by…

Born on April 15, 1707 in Bales, Switzerland was man names Leonhard Euler. Following in his father's footsteps he was studying to be a rural clergyman. “Though originally slated for a career as a rural clergyman, Euler showed an early aptitude and propensity for mathematics, and thus, after studying with Johan Bernoulli, he attended the University of Basel and earned his master's during his teens.”(Biography.com Editors) During his time at school, Euler found a passion for mathematics. “By 1726,…

Pythagoras Born: about 569 BC in Samos, Ionia Died: about 475 BC He is named the first mathematician. Pythagoras was born near the Ionian coast of the Mediterranean, in the rich merchant family. After living in Egypt for 22 years and in Babylon for 12 years, he gained deep knowledge in natural and mathematical sciences. He gathered around a group of like-minded people, mostly aristocrats, and created a secret circle. The members of the circle studied various issues of philosophy and mathematics.…

reputation. Among his greatest admires were mathematical who recognized in his work principles (Smith). The remarkable part was that Escher received no formal mathematics education beyond secondary school. Escher work included two broad areas: the geometry od space, and the logic of space. Escher used various, of what one may call techniques within these broad areas. For instance, tessellations, polyhedra, the shape of space, logic of space, and self-reference.…

I'm not exactly sure how to solve this question I might have forgot how to do it but I'm going to guess that based off the picture & what I know about circles I can say that all circles if this makes sense are always similar to each other & that's always no matter what the radius might be ' The steps are as follows... * Obviously draw a triangle * Insert angle bisector for each angle of the tri. Insert the lines & make sure that your long to the point where you can see the point of…

M.C Escher was more than just an artist. He created art using patterns of identical shapes, that fit together with no gaps, and did not overlap, also known as tessellations. He went through many stages throughout his art, but his most lasting legacy are the tessellations he made and the mathematical impact they had. By using mathematical reasoning he was able to create the tessellations, but he had to look beyond just mathematics to dig deep into his tessellated optical illusions. M.C Escher…

Researching two math placement tests for this project was the easiest part. A math placement test is a test that students take before entering a math course in college. The placement test that I took was for Monmouth University in Monmouth, New Jersey. Monmouth is on my list of schools that I am applying to for the fall of 2018 along with James Madison, which is the other test I chose to research for this project. I took the Monmouth test not thinking I would be able to complete the assigned…