math research topics for high school

Idea by math research mentor Shae. 12. Simulating the stock market. Here's an idea for a beginner-to-intermediate statistics and programming project centered around Monte Carlo simulations. Monte Carlo simulationsare random methods for modeling the outcome of a complicated process.

If you are an undergraduate looking for some research topics for your next math paper, you will surely appreciate our list of interesting undergraduate math research topics: Methods to count discrete objects. The origins of Greek symbols in mathematics. Methods to solve simultaneous equations. Real-world applications of the theorem of Pythagoras.

251+ Math Research Topics: Beginners To Advanced. Prime Number Distribution in Arithmetic Progressions. Diophantine Equations and their Solutions. Applications of Modular Arithmetic in Cryptography. The Riemann Hypothesis and its Implications. Graph Theory: Exploring Connectivity and Coloring Problems.

Practical Algebra Lessons: Purplemath. Topics in Geometry: Massachusetts Institute of Technology. The Geometry Junkyard: All Topics: Donald Bren School of Information and Computer Sciences. Calculus I: Lamar University. Business Math for Financial Management: The Balance Small Business.

The program pairs high-school students with Ph.D. mentors to work 1-on-1 on an independent research project. The program actually does not require you to have a research topic in mind when you apply, but pro tip: the more specific you can be the more likely you are to get in! Elements of a Strong Research Paper Introduction

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: RSI - Research Science Institute; PRIMES - Program for Research In Mathematics, Engineering, and Science

These research topics for high school students are designed to deepen your knowledge and prepare you for advanced studies and innovations in the field of physics. Math Research Topics. Math research topics for high school students are a fantastic way to explore real-world problems through the lens of mathematical principles. 11.

8. I am a high school senior and I am interested in doing a math research. I hope someone can recommend areas or topics of research that are challenging, rewarding, and yet do not exceed my capability. (I acknowledge this is quite hard) My math background: a. I have done competition math (Elementary number theory and combinatorics, Euclidean ...

Often, students who write math papers pick a topic that is too broad. As this chapter points out, topics for research papers must be specific. There are many sources for suc-cinct topics for research papers. Mathematics journals written for instructors and math enthusiasts feature short articles that describe particular mathematical concepts. These

About. Math Circle virtual summer camps bring together rising 9th-12th grade math enthusiasts to: learn material not typically taught in a high school curriculum; traverse the complex world of college mathematics; conduct mathematical research with guidance from university faculty and graduate students; present a 45-minute, colloquial-style ...

Math Research Paper Topics for Undergraduate Students. Explain the different theories of mathematical logic. Discuss the origins of Greek symbols in mathematics. Explain the significance of circles. Analyze predictive models. Explain the emergence of patterns in chaos theory.

We conduct research and evaluations of math professional development, curriculum, and supplementary programs designed to improve student learning of math concepts and skills. We also conduct international comparisons and disseminate learning through training and technical assistance. Our recent work focuses on the development and impact of ...

High School Mathematics at Work illuminates the interplay between technical and academic mathematics. This collection of thought-provoking essays—by mathematicians, educators, and other experts—is enhanced with illustrative tasks from workplace and everyday contexts that suggest ways to strengthen high school mathematical education.

My background only includes high school mathematics, multivariable calculus, linear algebra, and Olympiad level competition math. I am also interested in kinematics and optical physics, but I'm not sure how I can apply my math background to create or model experiments in those subjects. Any help would be appreciated, thanks.

Depending on the student's mathematical level, one could point to Malkevitch's pages on Mathematics Research Projects or a couple other pages directed at undergraduate students . ... Graph theory in general has some really cool topics for high school students, so there are definitely more topics here. Programming an AI for a simple game

Every high school math teacher, for certain topics, is teaching students multiple strategies. It's built into the curriculum. All that we're saying is, first, you should do it more because it's a good thing, and second, when you do it, this is a certain way that we found to be especially effective, both in terms of the visual materials ...

Mathematics Research in the Classroom. Introduction to Research in the ... Rebecca Kalauskas, & Alex Cole, Arlington High School, Arlington, MA, April 1999. ... February 1999. Jackie Ou, Program in Mathematics for Young Scientists, 1999. Erik Elwood, Program in Mathematics for Young Scientists, 1999. Amida-kuji. David Senft, Final Report, July ...

Here are some of the best math research paper topics for high school. How to draw a chart representing the financial analysis of a prominent company over the last five years. How to solve a matrix- The vital principles and formulas to embrace. Exploring various techniques for solving finance and mathematical gaps.

1. A really nice problem here: Describe the set of real numbers such if x x belongs to the set, then x−1 x − 1 also belongs to it, and both x x and x−1 x − 1 share the same decimals. Hint, you know that 1, ϕ ϕ and ϕ−1 ϕ − 1 they belong to the set (being ϕ ϕ the golden ratio).

Department members engage in cutting-edge research on a wide variety of topics in mathematics and its applications. Topics continually evolve to reflect emerging interests and developments, but can roughly grouped into the following areas. Algebra, Combinatorics, and Geometry Algebra, combinatorics, and geometry are areas of very active research at the University of Pittsburgh.

Programming: The mentorship takes place during the academic year with oppurtunites to participate in the summer session of the Hank & Billye Suber Aaron young Scholars Summer Research Institute; Requirement: A current student at the North Carolina School of Science and Mathematics.

Idea Math Camp. Dates: Plano, Texas: June 4 - 14. Nashua, New Hampshire: June 23 - July 4. Location: John Paul II School and Rivier University. Application Deadline: N/A. Cost: $1,935 - $3,895. IDEA MATH is a two-week program for high school students that provides in-depth enrichment in important mathematical areas.