Number Grid

Numbering Grid In this task you first look at the digital grid from 1 to 100 as follows: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 49 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85

Prime Climb is more than just a board game. It is a way to observe and understand numbers and to clarify the role of prime numbers in multiplication. I wrote about the fun of the Prime Climb color digital grid. There, each number is colored according to its prime factorization. The grid is also attractive, mysterious and mysterious. But will it be reviewed in the math lesson? The ten elementary school students of my weekly math club are guilty guards who are guilty and enthusiastic. Student age, current ability, confidence varies. There is a mathematical possibility that everyone develops. Some people may have encountered prime numbers, others do not understand the basic principles of multiplication. My mission as an instructor of mathematics in mathematics is to prepare them as collective activities against their personal tasks.

Dan Finkel could not imagine it. He is a rare hybrid of mathematics educators and game masters. I wrote another inspiration for Dan's digital grid. And it forms the basis of his board game Prime Climb. I finally got the opportunity to try Prime Climb with my students and the result was amazing - there are very few psychological mathematical challenges that caused so many joy from the beginning did. Future posts will be reviewed in full

The Grid World implementation aims to start the proxy from the upper left corner of the (0,0) grid and reach the lower right corner of the (Ny - 1, Nx - 1) grid angle with minimal steps. Ny + Nx step agent allows only one grid square move up, down, left, and right direction. In order to defeat this game, we used Policy Enhancement Monte Carlo Rewarded Average Sampling Reinforcement Learning Algorithm and used epsilon greedy proxy to navigate the grid world environment. Rewards, Status - In this implementation tabular action values ​​and policies are used (this applies to small grid sizes), and most of the above theory is in Sutton & Barto's "Reinforcement Learning" textbook. The Python code implementation of this algorithm is in Github.