March 14, 2011
University of Phoenix
Math 214 Reflection Paper
The course, mathematics for Educators II, is the second of a two part of a course intended for elementary education students. It is a five week course and we studied the basic ideas of mathematics that could be taught in the classroom. I feel that I have learned a lot in this course in the past five weeks. The focus of part two of this class was measurement, geometry, probability and data analysis.
Data analysis and probability are the first concepts tackled in this course. I learned that probability can be determined experimentally or theoretically. Sample space, events and the Law of Large Numbers are covered as well, this lead into the Multiplication Rule for Probabilities and a short study of simulations. Other topics covered were odds, expected value and conditional probability. I learned that different types of data can be interpreted through the use of graphs, tables and charts, pictographs, line plots, stem-and-leaf plots, frequency tables, histograms, bar graphs, line graphs, pie (circle) charts, box-and-whisker- plots and scatter plots are thoroughly discussed as well as mean median and mode. The last topic of discussion in this chapter is the misuse of statistics and ways to avoid it. By the end of the first week the student should be able to apply the basic concepts of probability, use the appropriate methods to analyze data and develop inferences and predictions based on the data. In the second week of class we covered applying characteristics and properties of two- and three-dimensional geometric shapes in problem solving as well as Identifying geometric figures and shapes based on mathematical arguments. We also covered using visualization, spatial reasoning, and geometric modeling to solve problems. Week two we also did an individual assignment to help us understand geometry. Week three we covered the application of geometry using chapters 10 and 11. We analyze...