This website uses cookies to ensure you have the best experience.

# My Mathematics Philosophy Essay

810 words - 4 pages

My Mathematics Philosophy

How did you get that answer? Why? Can you get the same answer another way? These are important questions for all math educators to ask. I believe that encouraging autonomy is one of the most important things that a teacher can do. According to Piaget, the aim of education must be to develop the child's autonomy, which is indissociably social, moral, and intellectual (Kamii, 21). Without autonomous learners, our classrooms would be made up of memorization of formulas and procedures, which is detrimental and can short circuit learning (Reynolds, 25). Educators have a great impact on children, not only for the year they have the children in class, but ...view middle of the document...

Manipulatives can be important tools in helping students to think and reason in more meaningful ways. By giving students concrete ways to compare and operate on quantities, manipulatives can contribute to the development of well-grounded, interconnected understandings of mathematical ideas (Stein, Bovalino, 356).

I will use various hands- on activities in my classroom. My students will come to an understanding of mathematics and learn to be autonomous. I will have my students do activities that encourage understanding and autonomy. For example, "Six Inch Ruler" would encourage autonomy because the students must come up with their own ways of measuring. Maybe they measure every inch of something with their ruler, or maybe they can come up with an algebraic equation, which will give them the answer. Through activities like these, my students will be where I want them to be.

In my classroom, I will do quick draws or spot the dot every day before math. This will help them think in units. Counting does not encourage construction of units since it is a sequential activity. Students' capacity to reason about quantities and their relationships is a major factor influencing their ability to think about physical situations and solve problems (Reynolds, 11,15).

Representations show how children see numbers. If a teacher can see how the child is mentally seeing the number, she can more effectively guide him. As stated in NCTM (136), representations allow students to...

## Other Essays Like My Mathematics Philosophy

### Edu 215module 7 Education Philosophy Essay

1845 words - 8 pages has been teaching fifth graders for 11 years, K. Corbin has five years of experience as a junior high school Social Studies Teacher, and A. Davis is going into his fourth year of teaching 12th grade History. From the interviews, I found that my philosophy of education was similar to those of my interviewees with very little differences. Similarities and Differences Philosophies of Education Within my philosophy of education, I am a firm

### Rene Descartes Essay

1999 words - 8 pages Rene Descartes Metaphysics, Epistemology, and Value Theory Asma Naheed Introduction to Philosophy Mr. Ferguson 13 May 2016 Rene Descartes (1596-1650) was a very important philosopher in the 17th century. Many regard to Descartes as the father of modern philosopher. His famous statement "Cogito ero sum" is widely known and studied. He contributed much to mathematics as well as philosophy. What does my philosopher believe is real

### The Effort to Discover

5826 words - 24 pages existence of evidence[23] and of scientific method.[24] Popper holds that there is only one universal method, the negative method of trial and error. It covers not only all products of the human mind, including science, mathematics, philosophy, art and so on, but also the evolution of life.[25] He also contributed to the Positivism dispute, a philosophical dispute between Critical rationalism (Popper, Albert) and the Frankfurt School (Adorno

### The Contributions Of Isaac Newton

2215 words - 9 pages the height of his creative power, he singled out 1665-1666 (spent largely in Lincolnshire because of plague in Cambridge) as "the prime of my age for invention". During two to three years of intense mental effort he prepared Philosophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy) commonly known as the Principia, although this was not published until 1687. As a firm opponent of the attempt by King James II

### Educational Goals And Philosophy

869 words - 4 pages . I want my students to realized that it is fun and exciting to learn new things each day. With the support of the students, parents, faculty, and the community, education could flourish in the school districts. I, as many other educators, will fulfill my part by continuing my education after graduation. I hope to acquire a master's degree in middle childhood education with an emphasis on mathematics. I also hope to give my students the feeling that they can come to me and talk to me about any problems they are having inside and outside of class and I will listen to them and help them through their difficulties as much as possible.

### Philosophy of Education

765 words - 4 pages ------------------------------------------------- Fostering Student’s Well-Being - Janey Gidion Many years ago, I wrote a mission statement for myself: “I will live my life with conscious awareness, integrity and joy, guided by principles and values that expand my spirit and foster life-long learning while supporting my family, friends and other to do the same.” My philosophy of life is undeniably linked to my philosophy on teaching

### Communication Unit 2 Assignment 1 Comparison of Historical Communication Pices

555 words - 3 pages Greece, and the Greek-influenced period that directly followed, was the wellspring for philosophy and art in Western Civilization. It featured: * Human-centered sculpture and painting, in an increasingly natural and realistic style * A fascination with mathematics and geometry, leading to advances in architecture * A development of the art of drama and the creation of great works of theater * Writings on the subject of virtue and

### Augustine

692 words - 3 pages graduating and settled in Paris with no viable way to support himself. He earned a meager living teaching mathematics and journalism while deep in the study of economics, history and philosophy. At 19, Comte met Henri de Saint-Simon, a social theorist interested in utopian reform and an early founder of European socialism. Deeply influenced by Saint-Simon, Comte became his secretary and collaborator. In 1824, the partnership ended over disputed

### Meditation

1206 words - 5 pages if this was true. No one will ever actually know if god exists, so why is he questioning this? It would be in his imagination or it could be real but neither he nor anyone else will ever be able to prove that as true. After reading and analyzing Meditation on First Philosophy I have discovered that although I do not agree with all of Descartes ideas I do agree with some. His idea that God cannot be proven real is correct for me. In my opinion

### Isaac Newton And His Contributions To The Modern World Research Paper

1550 words - 7 pages Cambridge) as the prime of my age for invention." During those couple of years, he prepared Philosophiae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy) also known as the Principia which has one of the biggest impacts on today's Physics (Hull). It is perhaps the "most powerful and influential scientific treatise known to man" ("Newton"). In his book he covered his discovery of calculus, theories for light and color

### Knowledge Acquisition: Empiricism Vs Rationalism

2204 words - 9 pages . Our reason for defending this claim is that using our priori, or from the former, states that we do not physically have to experience the number 3 being greater than the number 2 (the nature of numbers is gray area). Using our existing knowledge of the situation, we can come to a solid conclusion that 3 is greater than 2, without seeing any empirical evidence. "Our textbook also uses another great example when speaking about mathematics and

## Related Papers

### Aspergers Syndrome And Math Education Essay

2545 words - 11 pages interesting to see what parts of the country or the world likes or picks certain things.â€ -Kyle (Math B) â€œProving Iâ€™m right, philosophy because I like to contemplate the universeâ€ -Jack (Math B) â€œSolving equations that have definite formulas. I find math used to operate computers interesting. I do not find the history of mathematics interesting. Because I find this math kind of easy.â€ -Larry (Math B) â€œ I like mathematics

### What Is Your Philosophy? Essay

1022 words - 5 pages philosophy and culture interaction in terms of development and thought. Also I will describe and explain my philosophical area of interest as well as how or why cultural factors influenced my choice. In knowing this there are many areas of philosophy, here are the major areas: a) Epistemology: Studying of knowledge and justified beliefs. This is how to understand concepts of justification or what makes justified beliefs justified. There are

### Reflective Paper

817 words - 4 pages just giving them a formula in which they simply substitute and solve in the order to get the correct answer. The concepts in this course have substantially influenced my ideas and philosophy of teaching in various ways. First it has helped me to decipher the differences between how to teach mathematics the correct way, and how to avoid handing all the tools over to the students without them using any of their own thoughts and knowledge. The mind

### Phulosophy Essay

1249 words - 5 pages . Descartes decides to create a whole new system of thought that would join all knowledge. This became the biggest undertaking in philosophy since Aristotle. As a result, Descartes is called the founder of modern philosophy. Descartes philosophy placed a heavy emphasis on deductive reasoning and mathematics. He developed new tools the analysis which significantly enabled the ability of the scientists to use mathematics to shape the world