By Admin It may be hard to write a type of essay for the first time.
Good mathematical writing, like good Example lay out of school paper thinking, is a skill which must be practiced and developed for optimal performance. The purpose of this paper is to provide assistance for young mathematicians writing their first paper. The aim is not only to aid in the development of a well written paper, but also to help students begin to think about mathematical writing.
I am greatly indebted to a wonderful booklet, "How to Write Mathematics ," which provided much of the substance of this essay. I will reference many direct quotations, especially from the section written by Paul Halmos, but I suspect that nearly everything idea in this paper has it origin in my reading of the booklet.
It is available from the American Mathematical Society, and serious students of mathematical writing should consult this booklet themselves. Most of the other ideas originated in my own frustrations with bad mathematical writing. Although studying mathematics from bad mathematical writing is not the best way to learn good writing, it can provide excellent examples of procedures to be avoided.
Thus, one activity of the active mathematical reader is to note the places at which a sample of written mathematics becomes unclear, and to avoid making the same mistakes his own writing.
Mathematical communication, both written and spoken, is the filter through which your mathematical work is viewed. If the creative aspect of mathematics is compared to the act of composing a piece of music, then the art of writing may be viewed as conducting a performance of that same piece.
As a mathematician, you have the privilege of conducting a performance of your own composition! Doing a good job of conducting is just as important to the listeners as composing a good piece.
If you do mathematics purely for your own pleasure, then there is no reason to write about it. If you hope to share the beauty of the mathematics you have done, then it is not sufficient to simply write; you must strive to write well.
This essay will begin with general ideas about mathematical writing. The purpose is to help the student develop an outline for the paper. The next section will describe the difference between "formal" and "informal" parts of a paper, and give guidelines for each one. Section four will discuss the writing of an individual proof.
The essay will conclude with a section containing specific recommendations to consider as you write and rewrite the paper.
Structuring the paper The purpose of nearly all writing is to communicate. In order to communicate well, you must consider both what you want to communicate, and to whom you hope to communicate it. This is no less true for mathematical writing than for any other form of writing.
The primary goal of mathematical writing is to assert, using carefully constructed logical deductions, the truth of a mathematical statement. Careful mathematical readers do not assume that your work is well-founded; they must be convinced.
This is your first goal in mathematical writing. However, convincing the reader of the simple truth of your work is not sufficient. When you write about your own mathematical research, you will have another goal, which includes these two; you want your reader to appreciate the beauty of the mathematics you have done, and to understand its importance.
If the whole of mathematics, or even the subfield in which you are working, is thought of as a large painting, then your research will necessarily constitute a relatively minuscule portion of the entire work. Its beauty is seen not only in the examination of the specific region which you have painted although this is importantbut also by observing the way in which your own work 'fits' in the picture as a whole.
These two goals--to convince your reader of the truth of your deductions, and to allow your audience to see the beauty of your work in relation to the whole of mathematics--will be critical as you develop the outline for your paper.
At times you may think of yourself as a travel guide, leading the reader through territory charted only by you.
A successful mathematical writer will lay out for her readers two logical maps, one which displays the connections between her own work and the wide world of mathematics, and another which reveals the internal logical structure of her own work.
In order to advise your reader, you must first consider for yourself where your work is located on the map of mathematics. If your reader has visited nearby regions, then you would like to recall those experiences to his mind, so that he will be better able to understand what you have to add and to connect it to related mathematics.
Asking several questions may help you discern the shape and location of your work: Does your result strengthen a previous result by giving a more precise characterization of something?
Have you proved a stronger result of an old theorem by weakening the hypotheses or by strengthening the conclusions? Have you proven the equivalence of two definitions? Is it a classification theorem of structures which were previously defined but not understood?
Does is connect two previously unrelated aspects of mathematics?So I have to decide whether I am capable enough to grade my paper or outsource the task to someone else. As someone with experience in grading essays, I would most definitely grade my essay on the basis of the format, writing style, verbiage, research quality and formatting.
For a response paper, you still need to write a formal assessment of the work you're observing (this could be anything created, such as a film, a work of art, a piece of music, a speech, a marketing campaign, or a written work), but you will also add your own personal reaction and impressions to the report.
Beginning with the introduction, lay out your main point/argument. From there, go through each paragraph, highlighting the main idea, evidence, and analysis you'll be using. Be sure to check that it ties into the previous paragraph, as well as your overall argument.
Bring your narrative to a climax in which you lay out your critical question in detail. Explain briefly what your action(s) consisted of. This section is the heart and soul of your action research paper. This is where you tell your story.
I’ve learned that students are smart. They learn early on in the school year what is important. Wanda Wunder Ironwood Ridge High School Tucson, Arizona Objectives: Students will practice the elements necessary to create a modular design layout. Students will practice the skills necessary to evaluate effective layout and design.
Students will demonstrate communication skills through their layout and design. Students, as part of a team, will .
Before we delve into the structure of a term paper, let’s first define it and look into the objectives of this writing assignment.
A term paper is a research paper required at the end of a school semester. It tracks and evaluates the students’ knowledge about the course.