Reflective Paper

Topics: Probability theory, Education, Mathematics Pages: 3 (971 words) Published: September 20, 2013

Reflective Paper
Maurice Young
September 15, 2013
Evan Schwartz

Reflective Paper
Mathematics for Elementary Teachers is a two- part course designed to prepare potential educators the mathematical concepts need to teach to elementary schools students K-8. The two-part course also addresses the relationship concepts to the National Council of Teachers of Mathematics Standards for K-8 instruction (Billstein, Libeskind & Lott, 2010). This semester, which presented the second half the two-part course, the MTH/157 curriculum gave appropriate statistical methods to analysis data, applied basic concepts of probability, applied and identified geometric figures and shapes for problem solving, and identified applications of measurements. This class introduced very interesting, exciting and fun ways how to teach the above mathematical concepts like probability in the form of games. There are several types of probabilities: Theoretical Probability and Experimental Probability. Theoretical probability examples can be used to illustrate the predictions of the “Coin Flip” or “Dice Roll” probability games. Yang’s example: If there are n equally outcomes and an event A for which there are k of these outcomes, then the expression of the probability that the event A will happen looks like this P(A) = k/n (p. 283, para. 4). What I experience while playing the “Coin Flip” game was that the probability of flipping the coin and it turning up heads was P (H) = ½. To include, the probability of flipping the coin and it turning up tails was P (T) = ½. So, if the chance of the coin flipped and turning up heads is 0.50 then the probability of two coins coming up heads is 0.5 x 0.5 = 0.25. What I experience while playing the “Dice Roll” game was that with both dice being rolled the outcome, sample space and events of the probability could be many. Rolling the two dice there would have been 36 different ways to predict the outcomes. I...

References: Billstein, R., Libeskind, S., & Lott, J. W. (2010). A problem solving approach to
Mathematics for elementary school teachers (10th Ed.). Boston, MA: Wesley
Yang, Rong. (2012). A-Plus Notes for Beginning Algebra: Pre-Algebra and
Algebra, Publisher, A-Plus Notes Learning Center. Los Angles California
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