The use of networks to solve problems. Investigate some rocket science! Essential knowledge for future astronauts. Look at some of the maths and psychology behind winning this game. Some classic Maths exploration economics — which generates some nice mathematical graphs.
What is the minimum number of colours needed for any map? How probability and game theory can be used to explore the the best strategies for bluffing in poker. With n people in a room, how many handshakes are required so that everyone shakes hands with everyone else? Look at the inherent probabilistic nature of the universe with some quantum mechanics.
We can analyse the data to find out. A nice starting point for students good at coding — who want to put these skills to the test mathematically. Some nice examples of using polar coordinates to create interesting designs.
Is Bitcoin going to keep rising or crash? The use of regression in polling predictions. This topics provides a fascinating introduction to both combinatorial Game Theory and Group Theory. An amazing shape which is a loop with only 1 side and 1 edge.
Voting systems 11 Flatland by Edwin Abbott — This famous book helps understand how to imagine extra dimension. A good chance to investigate misconceptions in probability and probabilities in gambling.
Also look at the finances behind Premier league teams 10 Is there a correlation between Premier League wages and league position? Topology and networks 1 Knots 2 Steiner problem 3 Chinese postman problem — This is a problem from graph theory — how can a postman deliver letters to every house on his streets in the shortest time possible?
Investigate how binary is used — link to codes and computing. ISBN codes and credit card codes are just some examples of how codes are essential to modern life.
Why does the house always win? The planets follow a surprising pattern when measuring their distances. Investigate how to solve them. Are maths students better than history students?
This particular problem was solved by Euler. Also look at how the Championship compares to the Premier League. Look at how infectious Ebola really is. Use Tracker software to create a Sine wave.Engaging Students Through Math Exploration Derek Pipkorn [email protected] The Agenda 1) Welcome and Introduction 2) Connections to Principles to Actions and LESRA 3) History, Purpose and Future of Student Explorations in Mathematics 4) Explore Student Explorations in Mathematics (SEM).
Maths Help for Economics Students Economics is a social science. What makes it different is its use of maths and statistics to prove theories and concepts while still incorporating other subjects, such as politics, philosophy, and geography.
1 International Baccalaureate Math HL IA Exploration Application of Probability in Economics: The Game Theory Student B.
About The Math Without Borders, Inc., “Golden Logo” Disney’s Donald in Mathmagic Land A classic of educational video from that ties mathematics to. Maths for Economists Collection Age 16 to 18 Challenge Level: This page is a small collection of advanced-level material from the main NRICH pages which will be of use or interest to those hoping to study economics at university.
18 The Mathematical Exploration – Internal Assessment D Reflection: This criterion assesses how well you review, analyse and evaluate the exploration. Although reflection may be seen in the conclusion to the exploration, you should also give evidence of reflective thought throughout the exploration.Download