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Role of mathematics in education
50 Use of mathematics in daily routine
How does math play a role in everyday life
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Usefulness of Mathematics Education
There has been much discussion over the years about the usefulness of mathematical studies. Everyone seems to have a different viewpoint on the issue. Some believe that mathematics has little use in the working world and so is not a subject that should be taught at higher levels in secondary school. Others argue that mathematics does serve a profound purpose, albeit one that is subtle and not obvious in the vocational world. G. H. Hardy and Underwood Dudley, two great mathematicians of the twentieth century, have differing views, and our current Secretary of Education Richard Riley has his thoughts as well. So who is right? Who has a stronger argument? Here we will take a closer look at what is the main objective of all mathematics instruction.
Hardy once wrote, "Very little of mathematics is useful practically, and that little is comparatively dull" [2]. However, in the next sentence, Hardy states that the power, the importance, the usefulness of a mathematical idea is not in its practical application, but rather in the power of the thought. Dudley agrees with this statement; his main premise is that mathematics, from the world’s viewpoint, is a way of thinking as opposed to the thought. Dudley argues that mathematics is not taught so students can someday go out on the job with confidence of knowing the derivative of sin(x), but that the subject exists in the classroom to teach students how to think [1]. Mathematics is a method of thinking, a powerful way of looking at the world, but it is not a way of making use of oneself in practical living.
In 1996 Robin Ria II and David Burghes conducted an investigation of the need for math skills of young, perspective employees in business, in...
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...ambridge: The University Press, 1941.
[3] Lacampagne, Carole B. State of the Art: Transforming Ideas for Teaching and Learning Mathematics. July 1993. <http://www.ed.gov/pubs/StateArt/Math> (10/16/99).
[4] Quirk, William G. The Anti-Content Mindset: The Root Cause of the "Math Wars". <http://www.wquirk.com/content.html> (10/16/99).
[5] Ria II, Robin, and David Burghes. Mathematical Needs of Young Employees. <http://www.ex.ac.uk/cimt> (10/16/99).
[6] Riley, Richard W. "The State of Mathematics Education: Building a Strong Foundation for the 21st Century." Conference of American Mathematical Society and Mathematical Association of America. 8 Jan. 1998. <http://www.ed.gov/Speeches/01-1998/980108.html>. (10/16/99).
[7] Wood, Michael. The Case for Crunchy Numbers in Practical Mathematics. <http://www.soton.ac.uk/~gary/Wood98.htm> (10/16/99).
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
Steen, Lynn Arthur . "Integrating School Science and Mathematics: Fad or Folly?." St. Olaf College. (1999): n. page. Web. 12 Dec. 2013..
Burton, David. M. (2010). The History of Mathematics: An Introduction, Seventh Edition. New York, NY: McGraw-Hill.
Many people say that a child needs a mother and father figure to be raised right and to provide both viewpoints of gender. Some other people believe that gender does not matter when parenting. Society needs to set aside its differences and do what is best for the thousands of kids that are without a loving family. Denying these kids a home just because two individuals of the same sex love each other is injustice. Many people fear that children adopted by gay and lesbian couples do less well in life, these people are completely unfounded. The Independent website states that gay and les...
Anselm's argument was based on two principals and the two most involved in this is Saint Anselm of Canterbury who was mentioned before, and Rene Descartes. The ontological argument argues that if you understand what it means to talk about God, you will see his existence is necessarily true. Anselm defined God as “that than which nothing
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.
Buris, A. C. (July 20, 2010). A Brief History of Mathematics Education and the NCTM
Mathematics is the core of our world. Mathematical skills are applied daily in a variety of personal, work and social contexts and often without knowing it. The Australian Curriculum: Mathematics offers students with vital numerical abilities and education under the six areas of the Australian Curriculum: Mathematics; Number and Algebra, Measurement and Geometry, and Statistics and Probability. The aim is to build the mathematical skills students require within their employment, community and personal lives. The proficiency strands are structured as Understanding, Fluency, Problem Solving, and Reasoning that define how content is developed and offer the language to assist in the developmental features of the education of mathematics.
The NCTM began in the mid-1970’s and was a public voice of mathematics education that supported teachers, and tried to ensure learning of the highest quality for all students. This council set in motion a much needed discussion and debate about math in America’s school system. The NCTM set criteria for excellence rather than singular prescriptions for implementing “new best ways” (Wilson). In the 1980’s the focus of mathematics shifted to more of a critical thinking basis. In 1989 the National council of Teachers of Mathematics released a groundbreaking document, the Curriculum and Evaluation Standards for School Mathematics (Burris 2012). This completely changed the standards for mathematics in schools. These standards advocate methods that emphasized mathematical power: conceptual understanding, problem solving, reasoning, connection building, communication, and self-confidence developing (Wilson). There were numerous changes, including 13 curriculum standards that were set to address both content and emphasis. One common theme to the NCTM Standards and to the recent changes in mathematics education is that “the study of mathemat...
Anselm’s Ontological argument is insufficient in proving that God exists. For the reasons above and further objections from various philosophers, I do not believe that Anselm can argue the existence of God with his current premises as they stand. I must say that despite my objections to Anselm’s Ontological argument, I respect his work done, and the tremendous thought process that must have occurred to conjure up such a case as was presented. It is definitely much easier to prove a mortal wrong than it is to prove the existence of something so great and so unknown. Anselm’s Ontological argument while intriguing does have some problems in my opinion that take away from its validity; but needless to say it is in and of itself quite astounding.
Kirova, A., & Bhargava, A. (2002). Learning to guide preschool children's mathematical understanding: A teacher's professional growth. 4 (1), Retrieved from http://ecrp.uiuc.edu/v4n1/kirova.html
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.
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.
U.S. Bureau of Labor Statistics, (2013). Women in the Labor Force: A Databook. Report 1040,
It is not only in my own writing that my awareness of math has been heightened. While reading articles for classes, on news websites, or blogs, I find myself paying more attention to the flow of the author’s argument. We’ve learned that in proof writing it is important to be clear, concise, and rigorous and the same applies to an argument within a paper. I’ve come to realize that if an author is trying to convince me of their point, then they also need to show me why their point is true or important. In this way, I’ve become more critical of an author’s argument; rather than just believing everything that they write, I more closely evaluate the progression o...