Mathematics research topics for high school students
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Analyze subtraction games nim-like games in which the two players alternately take a number of beans from a heap, the numbers being restricted to a given subtraction set. She has written with her father on her experiences. Determine the number of students to be surveyed and how many questions to include in the survey. Third grade is not too early to begin teaching algebra, nor is early algebra instruction incompatible with the regular arithmetic curriculum, says a new study in the Journal for Research in Mathematics Education. Dolciani Mathematical Expositions This series of expertly written monographs has wonderful materials not easily available elsewhere. What makes a good system? Why are some systems considered better than others? In the 1st article John H. If you find something interesting but difficult, it won't seem so difficult because you'll be getting a kick out of it.

I'd like to send some of the articles to my younger sister, a high school sophomore, but unfortunately most of them require calculus, a subject she hasn't studied yet. Leads to some nice number theory and things like Fibonacci. Build models to illustrate asymptotic results such as Stirling's formula or the prime number theorem. There are ideas high school research paper topics to choose from, but one essential part of submitting a good paper students the way you approach those topics. It is clear to me that nearly everyone has an intrinsic interest in mathematics; it is simply a matter of being able to tap into it.

The math behind the golden ratio in architecture too. On each occasion, four couples meet at each of five houses. They are called combinatorial designs. I know pretty much for certain that I want to do something with pure math, but there are so many sub categories, I am lost on what I want to research. The impression I get is that articles are accepted only from career scientists or those with an established publication record. There are many problems like this.

While these kinds of projects will cause some overlap with physics, as a math project, the focus will be more on the abstract mathematical forms and representations. The technique used for solving the problem is called. If you are a high school or middle school student thinking of majoring in mathematics, you have come to the right place. A little bit of programming, and you can get some very bizarre effects. Marbles are dropped through the top and encounter a number of pins before dropping into cells where they are distributed according to the binomial distribution. As there are areas like Markov Chains which need more research, it is also related to Physics. Chaos and the double pendulum.

Thought Problems in Math and Physics 36. What about the special case when the triangle is right-angled? Something about the trick makes the outcome always work out the way the magician has in mind based on simple math. Math that you finally got to a part where you have a topic in paper, it is time to make for school amends and plan how to present the ideas to your audience. For these kinds of projects, students can seek out mathematical oddities and find ways to explain them in simple and easy to understand terms. Useful Ideas: Recent Blog Ideas for Professional Development. Start just with the positive real numbers and forget about the negative ones, everything will be clear at the end. The formula for the area of a circle can also be presented in this way.

If you are a high school or middle school math teacher, possibly involved in your school's Math Club, you are also at the right place and we need your help. More classically, simple statements about numbers give rise to some really deep number theory and math. Givant, Logic as Algebra 22. And, what major differences would studying this have from the single player number puzzles idea you suggested in your answer? Use Monte Carlo methods to find areas rather than using random numbers, throw a bunch of small objects onto the required area and count the numbers of objects inside the area as a fraction of the total in the rectangular frame or to estimate pi. Additional topics include number and quantity, functions and modeling. Business scenarios from restaurants to specialty shops provide opportunities for exploration and solving of equations.

Build models showing that parallelograms with the same base and height have the same areas is there a 3-dimensional analogue? Investigate self-avoiding random walks and where they naturally occur. Calculate new digits of Pi - see Peter Borwein's to discover what this means. Maurer, The Contest Problem Book V, 1997. The final product is a business plan with a given budget and desired profit. Anyway, I think expecting to find a problem to work on yourself, rather than have a mentor suggest one or several to you, is unrealistic.

High school and college students often have trouble finding appropriate topics for research projects in mathematics. Teachers more often now assign students with papers on optional themes. Note 2: Gardner's books have been published by a variety of publishers including W. . We all know the type of respect that substitute teachers command. I'm not sure this is really what you're looking for, but , then 16, disproved the famous claim that it was impossible to fold a piece of paper in half ten times, by folding one twelve times. Martin Gardner's books There is no better introduction to a variety of very rich mathematical problems and ideas explained at a level that can be understood by high schools students than the works of Martin Gardner.