Appendix VI lists some web pages that may be of use. At times you may High school math research papers of yourself as a travel guide, leading the reader through territory charted only by you. The golden mean is golden. I suggest that, before you write you map out the hypotheses and the deductions, and attempt to order the statements in a way which will cause the least confusion to the reader.

Why should he read this paper? On the contrary, most proofs could be modeled with very complicated graphs, in which several basic hypotheses combine with a few well known theorems in a complex way. What was already known in this field?

By "theorem" I mean a mathematical truth, something that has been proved. The structure should be easily discernible by headings and punctuation. 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.

It is available from the American Mathematical Society, and serious students of mathematical writing should consult this booklet themselves. Neither arrangement is elegant, but the forward one is graspable and rememberable.

The New Mathematics Library This series of nearly 40 volumes is written specifically for high school students. These are the questions which your readers will hope to have answered in the final section of the paper. This is, once again, coding, and the reader is forced not only to learn as he goes, but, at the same time, to decode as he goes.

Which ones follow naturally from others, and which ones are the real work horses of the paper? Replace it by "each" or "every", or recast the whole sentence" p. These may be best checked and corrected after writing the first draft.

Is it a special case of a larger question? An excellent source of project ideas in probability and statistics. Unfortunately, Quantum has ceased publication. However, convincing the reader of the simple truth of your work is not sufficient.

Have you proven the equivalence of two definitions? Of course, all the necessary hypotheses must be included. Is your work a clear although small step toward the solution of a classic problem, or is it a new problem?

Write the proof forward A familiar trick of bad teaching is to begin a proof by saying: This is your first goal in mathematical writing. There should be a clear definition of the problem at hand all the way through. The presence of "then" can never confuse; its absence can. However, you will almost always include a few standard sections: Furthermore, many high school mathematics department libraries and public libraries do not have books that are of value to students who are interested in doing research.

Every month there are 5 or 6 very accessible articles onmathematical topics along with puzzles and news. Most of the other ideas originated in my own frustrations with bad mathematical writing.

If he dislikes partial differential equations, for example, he should be warned early on that he will encounter them. 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.

This is the place to introduce the definitions and lemmas which are standard in the field, but which your readers may not know.

As a mathematician, you have the privilege of conducting a performance of your own composition! Are your results concentrated in one dramatic theorem?the high school mathematics research paper created date: z. Making Mathematics: Guide to Math Research (for middle and high school students) Steps in the Scientific Method; Writing a Research Paper in Mathematics ; Gerver, R., Writing Math Research Papers: A Guide for Students.

PRIMES: Research Papers. Research Papers.

organized a high school research project where participants worked on several variations of this problem. Participants were generally high school students who posted ideas and progress to the Art of Problem Solving forums over the course of an entire year, under the supervision of PRIMES.

Mathematical Research for (Undergraduates and) High School Students (11/10/) prepared by: Joseph Malkevitch Mathematics and Computing Department.

High School Research Advanced high school math students interested in research and mathematics can undertake research projects during the academic year as well as the summer.

The two programs available to high school students are. Highlights for High School offers many calculus resources, listed below, as well as some additional math courses appropriate for high school students.

Learn more about the MIT Mathematics Department.

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