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An essay on the history of mathematics
History of mathematicians
An essay on the history of mathematics
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Research on and information about mathematics and the learning of mathematics has evolved over the last one hundred years. In the first half of the 20th century much of the focus was on computational approaches such as drill and practice and incidental learning (Brownell, 1947; Thorndike, 1924). This emphasis can certainly be attributed to the lack of technology available along with the needs of society for efficient computation (Jones et al., 2002).
The development of the new math in the second half of the 20th century was a positional change for mathematics educators and researchers. The shift was towards the structure of mathematics (Jones & Coxford, 1970) as well as reflecting the current needs and state of mathematics at the time. Questions arose regarding what the content focus should be and what should the structure of the classroom involve. Advances in knowledge and technology characterize the 21st century. Kiong & Yong (2001) emphasize that these advances bring forth the need for a restructuring in mathematics education. The researchers accentuate imaginative methods in the learning and teaching of mathematics that can promote problem-solving skills, higher-order thinking skills, independent learning, collaboration, and communication skills. The skills and processes emphasized in mathematics curriculum in the past will not be sufficient in the knowledge-based era now present in our world.
What is certain is that mathematics is indispensible in generalizing, modeling, and understanding the world in which we all function and interact. Furthermore, mathematics has led the way for an increase in scientific and technological advancements. The end result is that there has been a significant amount of focus on mathematics ...
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... when a mathematical concept is presented under conditions in which the relevant variables remain constant but irrelevant variables are changed the ability to generalize is enhanced. The constructivity principle states that students should be allowed to build their own concepts by manipulating concrete materials in order to form mathematical relations.
Through interactions with the learning environment is how the principles attributed to Dienes stress the importance of learning mathematics. The phrase “mathematics is not a spectator sport” would apply to the theories developed by Dienes in that the classroom environment must include physical and mental involvement of the student (Post, 1981). The influence of Dienes can also be found in the work of Lesh & Doerr (2003) and their work related to the design of authentic models and model-eliciting activities.
Math is everywhere when most people first think of math or the word “Algebra,” they don’t get too excited. Many people say “Math sucks” or , “When are we ever going to use it in our lives.” The fact is math will be used in our lives quite frequently. For example, if we go watch a softball game all it is, is one giant math problem. Softball math can be used in many
Robert, A. Wayne and Dale E. Varberg. Faces of Mathematics. New York: Harper & Row Publishers, Inc., 1978.
The contemporary world is full of marvels. Technological advances have enabled mankind to fly in the heavens, instantaneously communicate with distant relatives thousands of miles away, construct buildings that are able to withstand many natural disasters, cure deadly diseases, and even travel to and study areas beyond the confines of planet Earth. While there are many factors that contributed to man’s ability to overcome what many once thought were impossible feats, it is the study of engineering that has enabled one to study the elements and leverage all that they have to offer. Mathematics lies at the heart of all science, including engineering. Without progressions in mathematical concepts, engineering principles and applications would not have advanced as quickly as they have throughout history.
I also learned that mathematics was more than merely an intellectual activity: it was a necessary tool for getting a grip on all sorts of problems in science and engineering. Without mathematics there is no progress. However, mathematics could also show its nasty face during periods in which problems that seemed so simple at first sight refused to be solved for a long time. Every math student will recognize these periods of frustration and helplessness.
Research has shown that ‘structured’ math lessons in early childhood are premature and can be detrimental to proper brain development for the young child, actually interfering with concept development (Gromicko, 2011). Children’s experiences in mathematics should reflect learning in a fun and natural way. The main focus of this essay is to show the effectiveness of applying learning theories by Piaget, Vygotsky and Bruner and their relation to the active learning of basic concepts in maths. The theories represent Piaget’s Cognitivism, Vygotsky’s Social Cognitive and Bruner’s Constructivism. Based on my research and analysis, comparisons will be made to the theories presented and their overall impact on promoting mathematical capabilities in children. (ECFS 2009: Unit 5)
Towers, J., Martin, L., & Pirie, S. (2000). Growing mathematical understanding: Layered observations. In M.L. Fernandez (Ed.), Proceedings of the Annual Meetings of North American Chapter of the International Group for the Psychology of Mathematics Education, Tucson, AZ, 225-230.
Mathematics is part of our everyday life. Things you would not expect to involve math
A somewhat underused strategy for teaching mathematics is that of guided discovery. With this strategy, the student arrives at an understanding of a new mathematical concept on his or her own. An activity is given in which "students sequentially uncover layers of mathematical information one step at a time and learn new mathematics" (Gerver & Sgroi, 2003). This way, instead of simply being told the procedure for solving a problem, the student can develop the steps mainly on his own with only a little guidance from the teacher.
To the students, the result of this study can help them be aware of their own difficulties and serve as their guide to have a better result in solving mathematical problems.
Mathematics has played an integral part in daily life since the beginning of time. There have been many individuals responsible for paving the road to higher mathematics. Among these individuals is a man who was a physicist and scholar and helped to bring life to modern mathematics. His name was Leonhard Euler. Although he was born in the 18th century, Euler’s mathematic innovations still apply to the world of mathematics that we experience today.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
To most people English or Language Arts is a creative course and math is just a logical, you get it or you don’t class. My purpose writing this paper is to change your mind. I believe that Math is just as, or more creative than English. I will demonstrate this through a couple of examples.
...re encompassing way, it becomes very clear that everything that we do or encounter in life can be in some way associated with math. Whether it be writing a paper, debating a controversial topic, playing Temple Run, buying Christmas presents, checking final grades on PeopleSoft, packing to go home, or cutting paper snowflakes to decorate the house, many of our daily activities encompass math. What has surprised me the most is that I do not feel that I have been seeking out these relationships between math and other areas of my life, rather the connections just seem more visible to me now that I have a greater appreciation and understanding for the subject. Math is necessary. Math is powerful. Math is important. Math is influential. Math is surprising. Math is found in unexpected places. Math is found in my worldview. Math is everywhere. Math is Beautiful.
As mathematics has progressed, more and more relationships have ... ... middle of paper ... ... that fit those rules, which includes inventing additional rules and finding new connections between old rules. In conclusion, the nature of mathematics is very unique and as we have seen in can we applied everywhere in world. For example how do our street light work with mathematical instructions? Our daily life is full of mathematics, which also has many connections to nature.
When I graduated from high school, forty years ago, I had no idea that mathematics would play such a large role in my future. Like most people learning mathematics, I continue to learn until it became too hard, which made me lose interest. Failure or near failure is one way to put a stop to learning a subject, and leave a lasting impression not worth repeating. Mathematics courses, being compulsory, are designed to cover topics. One by one, the topics need not be important or of immediate use, but altogether or cumulatively, the topics provide or point to a skill, a mastery of mathematics.