If the topic is too locally confined, it will be hard to research. 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. Study the regular solids platonic and Archimidean , their properties, geometry, and occurance in nature e. But they present a wealth mathematical subjects in for accessible way. What can I do outside of my school? During those six weeks, students are immersed in a world of mathematical discovery. You might browse around here, looking for Q's and A's ideas seem school, that you school half understand ideas, research that look like you high understand with a modicum of extra work.
It is published by Springer-Verlag. This should help you determine which topic is most interesting, whether you can find data on all of them, etc. And the coordinate geometry will get included in integration and differentiation only. Look for something that you find interesting, controversial, problematic, or simply believe it is worth exploring. Covering a chessboard with dominoes so that no two dominoes overlap and no square on the chessboard is uncovered.
Edit: concerning how to find something that no one has done before. Develop a scenario in which students calculate how much money they need to save to afford a large purchase. Draw, and list any interesting properties of, various curves: evolutes, involutes, roulettes, pedal curves, conchoids, cissoids, strophoids, caustics, spirals, ovals,. Perhaps we can continue this discussion by e-mail; I am reachable at jlmartin ku. 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. What's possible and what isn't. Escher Kaleidocycles'', Pomegranate Art Books, 1987.
What about using shapes other than dominoes eg 3 one-by-one squares joined together? General Rules Academic paper structure Education paper introduction. The author's specific credentials are less important to me than the quality and suitability of the article for this audience. Find out how they do this and investigate improving their procedure. Think about how patterns on wallpaper repeat. More classically, simple statements about research give rise ideas some really deep number theory and math.
What is the best way to prepare your early elementary school students for algebra? How did you get that? Build your own using prime numbers. I was therefore quite pleasantly surprised by both the enthusiasm with which the problems were tackled and by the ability of the students to solve them. On this page I present several topics in high school level mathematics. Make a family of polyhedra, e. Explore Penrose tiles and discover why they are of interest. How should one to locate ambulance stations, so as to best serve the needs of the community? I welcome any comments on what I present.
Determine the number of students to be surveyed and how many questions to include in the survey. You can go ideas in two ways:. Very-low-performing 4th-grade students did significantly better learning about fractions when they received specialized fraction intervention than in inclusive instruction, according to a new study in Exceptional Children. . These are all ideas that I either came up with on my own or read about after leaving public school. Why math math math hard? Limit your topic by timeframes, culture, area, population group, discipline, etc. How does graph theory extend to the 'cool paper' network at your school? What is the fewest number of colours needed to colour any map if the rule is that no two countries with a common border can have the same colour.
Is it possible to plan four evenings such that no two couples meet more than once? Students can also use algebraic equations to project profits and overall sales. Joe Malkevitch's math stories in the Feature Column introduce areas of mathematical exploration. I edited my answer to provide some tips. The Art Gallery problem: What is the least number of guards required to watch over all paintings in an art gallery? Proving it works is interesting also - it can lead to recursion, there is also a simple proof that is not immediately obvious when you start. If you an program a computer, can you write a sudoku solver? How can it be explained? Service: Wie funktioniert die Alarmierung der Feuerwehr Was passiert eigentlich nach dem absetzen eines Notrufes? To learn more, see our.
Middle school students can also look at. I'm giving a talk soon to a group of high-school students about open problems in mathematics that high-school students could understand. 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. By changing the position of the pins one should be able to get other kinds of distributions bimodal, skewed, approximately rectangular, etc. Individuals Instrumental in Math: Math in World Cultures: Math in Other Disciplines: Euclid Plato Pythagoras Hypatia Thales of Miletus Alexander the reat Eratosthenes of Cyrene Archimedes Hipparchus Claudius Ptolemy Rene Descartes Johannes Kepler Zu Chongzhi Ali al-Hasan ibn al-Haytham Johannes von Muller Konigsberg Copernicus Galileo Galilei Sir Isaac Newton Leonhard Euler William Jones Gerardus Mercator Omar Khayyam Carl Friedrich Gauss Bernhard Reimann Albert Einstein Lobachevsky Bolyai Gemma Frisius Georg Rheticus William Jones Girard Desargues Jean-victor Poncelet Albert Girard Roger Coates Giovanni Girolamo Saccheri Ron Eglash Greece Babylonia Macedonia Egypt India China Roman Empire Persia Arabia The Incan Empire Medieval Europe Renaissance Europe Astronomy Nature Sports Cartography Stonehenge The Great Pyramids Optics Architecture Clockworks Perspective in Art Mechanics Motion Electro-magnetism Quantum Physics Cool Links: Ted Talks related to math: Brainstorming Help:. Does it still apply today? Why is the proof interesting? As an alternative type of statistics project, students can complete probability studies. More classically, simple statements about numbers give rise to some really deep number theory and math.
Most computers these days can handle sound one way or another. The goal of this list paper to help you narrow down your ideas to topics or three favorites. Investigate this; explaining the mathematics behind what is happening. Find the mathematical reason for the switch. You paper how easy ideas, and all the implications it has. Demonstrate how to add using the Mayan base 20, maybe compare to trying to add with Roman numerals is it even possible? There are quite a few undergraduates who have done significant research in mathematics at your level.