Maths: Invented or Discovered? Abstract: Introduction: What is mathematics? What is the distinct definition for it? Something that always has bewildered me is what maths really is. Biology is the study of living organisms, chemistry is the study of chemicals, physics is the study of the universe and its forces, so what is maths the study off? Well the online Oxford Dictionary states that maths is “the abstract science of number, quantity, and space, either as abstract concepts (pure mathematics), or as applied to other disciplines such as physics and engineering ( applied mathematics)”. A more scientifical website states that maths is “the science that deals with the logic of shape, quantity and arrangement”. At school we have …show more content…
Maths is a subject that has always interested me, but looking at the roots of it is an aspect that I have never explored. I always knew that it is very open to debate, with various different opinions but I have always been intrigued by it, so I have decided to use it as the subject of my Extended Project. I have decided to title my dissertation “Maths: Invented or Discovered?” as I felt that it would give me a wider scope to explore instead of narrowing the subject on a biased view/opinion or even a one sided argument. It will also allow me to go into sufficient detail for both sides of the subject and apply my own judgement, expressing my views on the topic as I gain a better understanding of the history of maths. Most of the research which I will gathered is web based; including some first hand research that I will conduct, most likely a survey. I felt that the Internet was the best place to gather different views as I will have a better understanding of my subject matter. This will allow me to get together a lot of research from various sources in a short space of time, as it will enable me to find similarities and differences between all the sources very easily. I feel that the question I have picked will give me a very large insight into how the opinions of the origins of maths have evolved over time, with developments into certain theories and some being totally disregarded by
Algebra is a critical aspect of mathematics which provides the means to calculate unknown values. According to Bednarz, Kieran and Lee (as cited in Chick & Harris, 2007), there are three basic concepts of simple algebra: the generalisation of patterns, the understanding of numerical laws and functional situations. The understanding of these concepts by children will have an enormous bearing on their future mathematical capacity. However, conveying these algebraic concepts to children can be difficult due to the abstract symbolic nature of the math that will initially be foreign to the children. Furthermore, each child’s ability to recall learned numerical laws is vital to their proficiency in problem solving and mathematical confidence. It is obvious that teaching algebra is not a simple task. Therefore, the importance of quality early exposure to fundamental algebraic concepts is of significant importance to allow all
My passion for mathematics was fixed at the age of ten, on the morning that my mathematics teacher told I would be sitting the Junior Maths Challenge, 'as practice for when you are older'. As I nervously started to answer the questions, a whole world began to open before me. I revelled in the problem solving, answering questions of a nature I had not seen before. My teachers were delighted when I emerged from the exam hungry for more. Since then I have consistently demonstrated my aptitude, achieving gold awards through to senior level, and scoring highly in the European Kangaroo.
Even though the concept of mathematics has many different ideas of what it is, the concept they are trying to prove is all in one general direction. Everyone sees math as a different set of ideals and theorems to which their work is based and can never truly revolve around one idea which is why the definition of mathematics always appears to be
Math is a universal subject which the Merriam-Webster dictionary defines as "the science of numbers and their operations, interrelations, combinations, generalizations, and abstractions and of space configurations and their structure, measurement, transformations, and generalizations." Distinctly, the Oxford Dictionaries defines mathematics as “the abstract science of number, quantity, and space.” One thing that is clear amongst both these definitions is that math is complex and cannot be defined so loosely, which is why I find it difficult defining the literacy of mathematics. However, after reviewing the standards, I have attempted to do so. Being literate in mathematics means that one can count, compare and contrast numbers, understand and
Mathematics is a concept that can be defined as “the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically” (“The Definition of Language”). As a whole, it is a form of communication. The dictionary definition of language is “a body of words and the systems for their use common to a people who are of the same community or nation, the same geographical area, or the same cultural tradition” (“The Definition of Math”). It is clear that both areas of knowledge require a verbal communication used to connect with other people. Presumably, both mathematics and language need each other to be fully understood. This concept can be seen and proven through Chapter 8: Rice Paddies and Math Test in Malcolm Gladwell’s Outliers as well as a real life situation.
Geometry and Algebra are so crucial to the development of the world it is taught to every public high school in the United States, around 14.8 million teenagers each year (National Center for Education Statistics). Mathematics is the engine powering our world; our stocks, economy, technology, and science are all based off from math. Math is our universal and definite language “I was especially delighted with the mathematics, on account of the certitude and evidence of their reasonings.” (Rene Descartes, 1637).
One way to understand Mathematics is to look at language; mathematics is a language in itself and in some cases it can help you understand another culture, without having to live in that culture.
Math is a life skill needed by everyone to make even simple choices in regard to insurance rate, investment options and looking at stock market trends and data. Believe it or not, math is necessary in sports and playing board games like chess where one has to
Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions. This latter view encompasses mathematical or symbolic logic, the science of using symbols to provide an exact theory of logical deduction and inference based on
In today’s society mathematics is a vital part of day-to-day life. No matter what a person is doing at home or at the workplace, he/she is constantly using different mathematics skills to simply function. Then what does this mean for mathematics education? When someone needs to utilize a skill every day then he/she needs a strong background in the skill. Therefore, today’s students need more than a just a working knowledge of mathematics or enough knowledge to pass a test. Today’s students need to understand how mathematics works and how to utilize mathematics skills in the best way possible.
Maths is ubiquitous in our lives, but depending on the learning received as a child it could inspire or frighten. If a child has a negative experience in mathematics, that experience has the ability to affect his/her attitude toward mathematics as an adult. Solso (2009) explains that math has the ability to confuse, frighten, and frustrate learners of all ages; Math also has the ability to inspire, encourage and achieve. Almost all daily activities include some form of mathematical procedure, whether people are aware of it or not. Possessing a solid learning foundation for math is vital to ensure a lifelong understanding of math. This essay will discuss why it is crucial to develop in children the ability to tackle problems with initiative and confidence (Anghileri, 2006, p. 2) and why mathematics has changed from careful rehearsal of standard procedures to a focus on mathematical thinking and communication to prepare them for the world of tomorrow (Anghileri).
Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.
Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic. In this paper, I will cover the views of three philosophers of mathematics encompassing their
Mathematics is a type of reasoning. Thinking mathematically includes thinking in a rational way, developing and checking conjectures, understanding things, and forming and validating judgments, reasoning, and conclusions. We show mathematical habits when we acknowledge and explain patterns, build physical and theoretical models of sensations, develop sign systems to assist us stand for, control, and review concepts, and create treatments to address issues (Battista, 1999).
Mathematics is the one of the most important subjects in our daily life and in most human activities the knowledge of mathematics is important. In the rapidly changing world and in the era of technology, mathematics plays an essential role. To understand the mechanized world and match with the newly developing information technology knowledge in mathematics is vital. Mathematics is the mother of all sciences. Without the knowledge of mathematics, nothing is possible in the world. The world cannot progress without mathematics. Mathematics fulfills most of the human needs related to diverse aspects of everyday life. Mathematics has been accepted as significant element of formal education from ancient period to the present day. Mathematics has a very important role in the classroom not only because of the relevance of the syllabus material, but because of the reasoning processes the student can develop.