Argument A: There is a need for students to understand and be able to construct geometric figures using a compass and straightedge. By: Daphne Scott I do think that it's important that students can still learn how to do geometry even in the old fashioned way. Even though a computer will automate a lot of the calculations and constructions for you, you still need to understand the geometric principles at work in order to use them. The computer is just a tool. You need to understand and be able to construct geometric figures by using a compass and a straightedge. Both the compass and the straightedge were used before when the computers were invented. The first person to use a compass and straightedge was Euclid, “the father of geometry”. Drafting with both of these tools were the foundation of all geometric constructions. The compass lets you to draw circles and the straightedge lets you to be able to draw line segments. When you are using …show more content…
Using both the Compass and straightedge it gives more freedom and flexibility in how you want your work to be done, you always will have a hard copy right there as you draw. The second reason that students should be able to construct geometric figures using a compass and a straightedge is because drafting by hand is a time proven method that represents a manual link from the hand without the computer software being in the way. The third reason in http://archinect.com/forum/thread/56689885/computer-vs-pencil states that when learning how to do geometric figures with a compass and straightedge you develop an essential part of knowledge. This knowledge can be put to good use by an architect in many ways, from the creation of the complex computer models to
Over the next few years, Scheiner began teaching mathematics when he had heard of an artist’s mechanical drawing aid, the pantograph, which allowed the artist to trace objects onto paper.... ... middle of paper ... ... Works Cited College, Carleton. Popular Astronomy -.
Study of Geometry gives students the tools to logical reasoning and deductive thinking to solve abstract equations. Geometry is an important mathematical concept to grasp as we use it in our life every day. Geometry is the study of shape- and there are shapes all around us. Examples of geometry in everyday life are- in sport, nature, games and architecture. The game Jenga involves geometry as it is important to keep the stack of tiles at a 90 degrees angle, otherwise the stack of tiles will fall over. Architects use geometry everyday- it is essential when designing buildings- shape, angles and area and perimeter are some of the geometry concepts architects
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
For centuries, mathematicians tried to contradict Euclid's Postulate V, and determine that there was more than one line parallel to that of another. It was declared impossible until the 19th century when Non-Euclidean Geometry was developed. Non-Euclidean geometry was classified as any geometry that differed from the standards of Euclidean geo...
The math concept of Geometry or shapes will be taught to a second-grade classroom during and after the reading of The Greedy Triangle (1994) by Marilyn Burns. We will discuss the different shapes, their attributes, how they are used and how many sides and angles each shape has.
Teachers should use every relevant subject to develop pupils’ mathematical fluency. Confidence in numeracy and other mathematical skills is a precondition of success across the national curriculum.
Virtual manipulative tools are now also available for use in the classroom. It ranges from simple counting blocks to geoboards and tangram puzzles. Instead of reading about a math concept or working out a problem on paper, a student will work with a physical object to better understand what he/she is learning. The concrete representation is useful at all levels of math, from a preschooler using blocks to strengthen counting skills to an older student using fraction models to understand equivalent fractions.
Many people will agree with her argument because students have learned that way for many years and it has worked. It is also a common fact that when a person writes something down with a pen or pencil, they are more likely to remember the information rather than typing it. Author, Mary Ann Matras continues to explain more about why the pencil is a powerful tool. ” When a student can use a pencil to do a calculation faster than and as well as, he or she can do it with a computer or calculator, then the tool for the job should be the pencil,” Mary Ann Matras states. Another issue that classrooms have with technology is that it takes away class time.
Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such as Elements, which is regarded as one of the greatest mathematical/geometrical encyclopedias of all time, only being outsold by the Bible.
Compasses have a good literal sense of direction, and always point to magnetic north. When you have a compass, you always know what direction you are going, as long as the compass is not
However, technology should never substitute the fundamental learning in our educational systems. Specifically, in primary school, building a firm fundamental education is crucial. Seeing children still using fingers to do simple math in second grade is not a good sign of academic improvement. Though the students may easily figure out the answers by using a calculator, before letting the children get any closer to these technical gadgets, they have to first learn to figure out the answers themselves.... ... middle of paper ... ...
The concept of impossible constructions in mathematics draws in a unique interest by Mathematicians wanting to find answers that none have found before them. For the Greeks, some impossible constructions weren’t actually proven at the time to be impossible, but merely so far unachieved. For them, there was excitement in the idea that they might be the first one to do so, excitement that lay in discovery. There are a few impossible constructions in Greek mathematics that will be examined in this chapter. They all share the same criteria for constructability: that they are to be made using solely a compass and straightedge, and were referred to as the three “classical problems of antiquity”. The requirements of using only a compass and straightedge were believed to have originated from Plato himself. 1
Yue, J. (2002). Do Basic Mathematical Skills Improve Spatial Visualization Abilities? American Society for Engineering Education Annual Conference & Exposition, American,US.
After viewing the video by Wolfram (2010), I believe that as teachers we need to prepare more for using computers. Most of my students have a smartphone. And they use it for almost everything, including using the calculator. “Using new technologies involves time, effort, and a rethinking of instructional approaches.” (Sousa. 2015, p. 129). I learned math in a paper, and I love it, but I feel that today that is not enough for our students. Our students get bored about doing calculation the whole time on a piece of paper. Wolfram (2010) questioned, “Do we really believe that the math that most people are doing in school practically today is more than applying procedures to problems they don 't really understand, for reasons they don 't get?”
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.