Cindy Wright
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...

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A Reflection of Math
Sherrene Arceo
November 14, 2014
MTH156
Autumn G. Gabriel Ed.S.
Abstract
As I reflect back on this course all I see are added benefits. As teachers we are always learning through new experience and materials. MTH156 was a very helpful course which enabled us to learn mathematical procedures and effectively utilize them in the classroom. The art of becoming a teacher is rewarding all on its own. The joys and thrills of holding your students’ knowledge in your hands is an awesome feeling. Most of all, it is your ability to learn more through the experience and through your students. This class focused on not only the Mathematical skills, but also how to teach math. The discussions opened a room full of ideas, and suggestion. Math overall is a very complex subject to teach, being prepared is to know how to do the problems before presenting them to your students.
A Reflection of Math
Through a student’s prospective I personally I struggled with Math, I myself was a child that suffered from a learning disorder call Dyslexia. I had problems keeping order when it comes to solving problems. Word problems would be portrayed differently and I would almost always write the problem wrong. After hiring a tutor (who also specialized in Dyslexia) taught me tricks that would make my life easier. For example writing out the order...

...Reflective Paper
MTH/157
Throughout this math course, there were many different strategies that were taught. Many that I, in particular, was very unfamiliar with. As I am planning on teacher early elementary, I am hoping that I do not have to teach too many of these new strategies. Some of them were very difficult and somewhat complex, and some of them were a review from previous classes.
During this course, there were several major mathematical concepts that were taught and reviewed. In chapter 9, the topic was probability; the topics that were covered in this chapter were Theorem and Tree Diagrams/Geometry Probabilities. In chapter 10, the main topic was Data Analysis, and the topics that were discussed in this chapter were. Different ways to Displaying data such as line graphs, scatter plots, bar graphs, line graphs, or circle graphs. Then there was information on the Measures of Central Tendency and Variation. The abuse of Statistics is also mentioned in chapter ten.
Chapter 11 covered introductory Geometry as the main topic. The minor topics were Basic Notation, Polygons, Angles, and Geometry in Three Dimensions. Chapter 12 reviewed Constructions, Congruence and Similarity as the main topics. The minor topics that were reviewed in this chapter were Congruence through Constructions, other Congruence Properties, such as Angle, Side, Angle Property and Congruence of Quadrilaterals and Other Figures, Constructing a Parallel Line....

...ReflectionPaper
Peggy Clayton
University of Phoenix
MTH/214
Shannon Manke
January 18, 2010
Running Head: ReflectionPaperMath has been around for quiet a long time. We all see math in a different way some can grasp it and some cannot. Learning math concept is very frustrating some will master it and some want. I have struggle with math myself. In fact, every time the word math was said throughout my school years and I hated it. Now throughout this course, I realize that I need a great amount of math skills before I can even consider teaching math skills. Math is a difficult concept to teach. So how can I teach math, if I do not understand it myself? This is a question I must ask myself and hopefully one day not questions my math skills.
In math214 there were endless amount of math concepts learned throughout this course. Probability and Data Analysis apply basic concept of probability. And use appropriate statistical method to analyze data. Billstein, Libeskind, and Lott (2007) we also were introduce to Geometry which we analyze the characteristics and properties of two – and three –dimensional geometric shapes. We also argue mathematics geometric relationships as well as visualize....

...Math 213 gives new teachers the tools needed to further understand what they will be facing when entering the classroom. There is a wide range of mathematic concepts covered throughout this course. Among them the major topics included: the principals and process standards for elementary school mathematics defined by the National Council of Teachers of Mathematics and the application of problem-solving strategies using numerical patterns. Additional major concepts covered were the relations and functions to solve problems, base value, language sets, the value of the Venn diagrams, how to make reasonable estimates, and how to apply number theory to applications.
Week one was the exploration of the six principles of elementary school mathematics: equity, curriculum, teaching, learning, assessment, and connection. These standards outline the understanding, knowledge, and skills student should acquire in each grade level. NCTM’s establishes focus and coherence into teacher’s efforts in improving mathematics. NCTM offers teachers examples and recommendations of a wide variety of educational circumstances that serve in the best interest of the student. They serve as a support group in guiding every educator in their efforts to improving how math will be presented in the classroom. Week one was also dedicated to showing the differences in how adults and children learn while investigating problem-solving strategies. The action of students with...

...Reflection on Math
April Thompson
Math214
March 25, 2013
Michelle Carmel
Reflection on Math
In my experience in this course, I was taught and also came across many different concepts of becoming a math educator. By being a math teacher, to me it means that we must know and also process the information that is giving and taught to us as well. I have heard many individuals say the math is an easy subject to teach, because everything is written out for us educators step by steps. But, what they do not know it that this course takes time, and also require a little preparation and knowledge of the subject to teach the students how to perform well in this course. In this class it was viewed as a new experience, and when I referred back to my past math teachers it was brought to my attention that they actually understands how to do the math and in many different ways other than just what is in the book. I tend to do better and remember the math concepts longer when I am actually practicing on the assignments. It is easy to just write out the math problems steps from book or from a lesson plan, but to really take the time and to explain the steps in a way for all students to understand the problems takes practice and an understanding of the math ourselves. Becoming a...

...BSC 1020 – ReflectionPaper Unit A
Unit A: Biology Today
This chapter focuses on the principles of biology. Biology is the scientific study of life. A notable contradiction to science is pseudoscience which is something that sounds scientific but is not based on complete evidence. Life encompasses a wide variety of things, but all life has a set of seven characteristics which are order, regulation, growth and development, energy processing, response to the environment, reproduction, and evolution.
Life exists in many levels ranging from the biosphere to molecules and atoms. A cell is the lowest structural level that can sustain the activities required for life. Cells exist in one of two categories: prokaryotic or eukaryotic. A prokaryotic cell is simple, small, and lacking a nucleus while a eukaryotic cell is larger and more complex, containing many membrane-enclosed organelles. Biological domains further differentiate between kinds of cells. There are three major biological domains, two of which are classified for prokaryotes and the other for eukaryotes. They are Domain Bacteria, Domain Archaea, and Domain Eukarya.
Evolution is also a major theme in biology. Evolution is the concept of life evolving over the course of time. Charles Darwin is responsible for the concept of evolution through natural selection. His idea of natural selection was about the adaptation to the environment over time by populations in order to survive....

...ReflectionPaper
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At the beginning of the semester, I was not looking forward to this course the most. This is because I knew there will be group discussion with my classmates whom I am not familiar with. In addition, I need to give a speech in front of my classmates which made me worried and nervous since those are my weakness.
However, after attending the lectures and tutorials for a few weeks, I started to gain interest in this course as I learnt a lot of new things. For example, I am now more capable and confident when it comes to writing a proper academic report, drafting appropriate business replies or even analyze a blog. With these knowledge, I know that I will be doing much better in my future. Despite having to worry about being appointed by my tutor to answer questions, I had funs there. My classmates and I shared, communicated and learnt there!
There was once when my group and I were tasked to analyze a piece of academic writing. I was glad because I found the skills taught during lessons highly applicable and useful. For example fallacies including red herring, hasty generalization, post hoc etc. Besides that, we were able to learn how to communicate with each other during discussions. I was delighted by my group mates as we were able to establish good rapport. Now, my group mates are good friends to me as well.
Another obvious change in myself is I...

...weight, the angle between the horizontal and the incline is called angle of repose 𝜽, as shown in Figure 3. In the previous experiment, if we are measuring along the y-axis, the formula will be
ΣFy=0, f=Wcosθand if we are measuring along the x-axis, the formula will be
ΣFx=0, f=Wsinθ.
The coefficient of friction is equal to the tangent of the angle of repose.
µ=fN=WsinθWcosθ, µ=tanθ(Equation 3)
In this experiment, we should be able to determine the coefficient of friction (µ) between contact surfaces as one body moves with uniform motion and establish the relationship between the angle of repose (𝜽) and µ. The rules of this experiment are to keep clean the surfaces of the wooden block and plane by wiping them with a piece of scratch paper or tissue to remove dust and other particles and to make sure not to touch the surfaces that you will use in this experiment to avoid contamination. The materials for this experiment as shown in Figure 4 are string, meter stick, pan, wooden block, platform balance, -5753105545455Figure 4. Materials
00Figure 4. Materials
2750185165036500-575310165036500inclined plane with pulley and weights.
The first part of the experiment is “Determination of the Coefficient of Friction” as shown in Figure 5. The first procedure is to position the wooden plane horizontally then measure the weights of the block and pan using the platform balance. Next is to tie one end of the string to the block’s hook and the other end to the pan...