The King's Chessboard
1.The book portrays a story of a wise man who lived in India and performed a favor for the king of Deccan. The King was pleased and summoned the man to meet him. The King continually asks the wise man to tell him a reward that he would like to receive. The wise man replies that serving the King again is the only reward he would like. The King begins to get angered by the wise mans silly reward and asks him to take him seriously or else he will wish otherwise. The wise man replies with a method that for each square on the kings chessboard that he receives a grain of rice. Each day the next square would be taken and the amount of rice would double. This leaves the king thinking on how much amount of rice he is going to have to give up.
2. This story displays exponential growth and can be shown on a graph. Each day the wise man would gain more and more rice. His amount would always be growing larger than the previous amount. If the mans current value of rice was 0 his growth rate would be highly effected in a positive way. You could also potentially use a combination formula. Each day would equal n and the amount taken would be s without repetition.
3. Learning math through literature and visuals provides another way a student can understand a formula or equation. By using words and pictures instead of numbers someone could relate math to a real life scenario to better understand how the numbers work and where they come from.
This blog is very good. I like the way that you explained the story and the math concept that was shown. However, I wish that you had put extra thought into answer #3 and given specific examples of how math can be taught positively through literature.
ReplyDeleteaaron,
ReplyDeleteyour take on using the combination formula for this concept is interesting and unique. good job of explaining the story.
professor little