Geometry

progress the advancement of mathematics. Pythagoras was born in 750 BC and was a very intellectual philosopher. Supposedly he learned lots of different math and science concepts from different people. For instance, it is believed that he learned geometry from the Egyptians and astronomy from the caladiums. Pythagoras was a very well rounded man that traveled to learn all that he could. He traveled to places like Egypt and Crete to learn math and science concepts, but he a;so went to learn about…

is also used in Euclidian Geometry. “A” squared plus “B” squared equals “C” squared is the formula used in the theorem. For example, we are given two numbers in the sides of a triangle; if we are given the adjacent and opposite sides, and we must figure out the hypotenuse, we will be required to use the Pythagorean Theorem. The two numbers given are squared, and our third number, we obtain it from the sum of the two numbers squared. Pythagoras’s theorem applies to geometry; however, it can…

Throughout the centuries, many people have tried to find shortcuts to make their lives simple. Usually described as lazy, mathematicians came along to see the patterns that no one else was able to see. These mathematicians helped reform their societies, and bring about equations that will help others calculate what they need faster. Upon these mathematicians, Pythagoras was most likely one of the most influential mathematicians that helped shape the way that people see shapes today. Through his…

Since the beginning of our time together as a class, we have held many late night discussions on what geometry instruction may look like at the elementary level. I have learned about the Geometric Habits of Mind that should be present in our classrooms as we engage our students in geometric thinking. I have also had demonstrated for me what it looks like for a teacher to help his/her students move forward to higher Van Hiele levels of thought. These two systems of thinking, along with the…

he wanted his son to follow in his footsteps. The reason that he didn’t was Bernoulli saw his mathematical potential and advocated for him to become a mathematician. Leonhard Euler didn’t just help in one specific part of math he helped in geometry, calculus, trigonometry, algebra, number theory, physics, lunar theory and astronomy. He is responsible for the function f (x),…

Compasses and straightedges are tools used regularly in geometry. Compasses are used to draw precise circles and arcs, leading to making many geometric figures. Straightedges are used to make straight lines that are exact measurements. There is a need for students to understand and be able to construct geometric figures using a compass and straightedge. This is because students will be able to understand the steps it takes to construct geometric figures, it allows students to understand how to…

allows students to be creative and get-along together. I think it would be a great learning experience for students because it allows them to experience the life of those slaves who could not read or write. It allows them to appreciate history, geometry, quilts, and geology. I think it encourages them to reason and think critically. The article made me realize that quilts are just for decorations but that they are part of history. I do not think many people know the importance of quilts.…

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…

compared to what it should be in order to start finding a diagnosis. Lastly, doctors use math to calculate just how broken a patient might be. In “ How CAT scans work,” the author demonstrates how the doctor uses different forms of math such as geometry and trigonometry to find dimensions in x-rays. doctors use trigonometry especially to find just at what angle the X-ray needs to be captured in order to see what damage has been done. In conclusion, being a doctor includes tons of math.…

Introduction The NAPLAN test (http://www.nap.edu.au) is for both primary and secondary schools to assess the performance of Australian students against minimum national standards (Reys et al., 2012). With this in mind the approach to answering the questions was to work through all parts of the questions just like a student would, to form an understanding of the process and methods a student taking the test would perform. The questions were not overly difficult to conceptualise, however, working…