The reflection discusses the author's experience in a math class, highlighting the diverse problem-solving strategies among peers and emphasizing the importance of manipulatives in understanding math concepts. While the author recognizes their growth in mathematical knowledge, they express dissatisfaction with the instructional methods, seeking more in-depth explanations and interactive learning. Ultimately, the reflection points to a desire to foster a creative teaching approach in mathematics that accommodates varied learning styles.

1. Reflection On My Math Class
Since starting this class, I feel as though my background knowledge of math would have been
enough for me to feel comfortable in the classroom but, because of the readings and in–class tasks
with my peers I've become more knowledgeable on many terms and practices of math.
It is clear that within the classroom of my peers we all complete a math problem differently. Some
students answer questions the completely different way than I do but, we get the same answers.
For example, when we were asked to add simple math numbers, two of the four of us thought the
same way. While to other people found different ways to get the answer. Amongst the four of us
there were three different ways to solve one simple addition question. This small task opened my
mind completely. I can see that was in my group of four people, there were three strategies to
answer one question. I can only imagine a number of ways a class of 30 students comes up with.
This will enhance my understanding as a teacher because I know that every student does not think
the same and there is more than one right way to solve a question. This class has also shown me
that using manipulatives is one of the best tools to enhance the students understanding. Using
manipulatives will not only help the students, but it will help me as a teacher to understand the
student's steps in solving questions. The best example in class was when my group was given
coloured bears and asked to show 1 as many ways as possible. We decided to
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2. Reflection Essay For Math
My thoughts in regards to the course up to this point are indifferent. It is math, and math will
always be difficult for me, but in regards to the instruction process, I do feel like it could be
approached in a different way. I do not feel confident that there is enough focus on processes as
there are on practice problems. Every week I think there is going to be a great explanation of
something, and every week I'm disappointed. It's just "This week is slopes, here is why we use
slopes, now solve it." There isn't a lot of in depth instruction. Or, there is the "What is a real life
slope?" I don't need to know that. I need to know the steps that I will need in the future in order to
solve for slopes, one step at a time, in numerical order....show more content...
A lot of the courses at this institution operate the same way. Perhaps it's me. Perhaps I'm better
suited for a different learning style, but I've never had any problem with learning, nor my grades
until I started with this institution. I feel that there should be more interaction, content, helpful
hints, things to keep, such as diagrams, etc. I feel like I'm paying thousands of dollars to sit
around and Google all day, and at the end of Googling answers for a few years, I will get a fancy
piece of paper. I could sit at home and Google educational concepts for free. Of the five study
strategies from my week one discussion post that I have implemented, 2 and 3 have been the
most useful so far. They have kept me going, emotionally. I have done fairly well with not
becoming discouraged and giving up completely. I have done well with trying to give it some
effort. I am not letting my negative feelings towards math keep me from at least trying. For this, I
am proud of myself. The most interesting concept that has been covered so far in my opinion has
to be breaking down equations. I just like to break things down. It is an easy lesson, but is so
important. It has such significance. The most difficult so far is the current lesson. I honestly have no
idea what is going on with the physics thing. I like physics itself, but I think the example in the
lesson was poorly presented, thus making it difficult to understand. I am not getting a newly found
feel for how much
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3. English Vs Math Essays
English Vs. Math
To most people English or Language Arts is a creative course and math is just a logical, you get it
or you don't class. My purpose writing this paper is to change your mind. I believe that Math is just
as, or more creative than English. I will demonstrate this through a couple of examples.
First, we must understand what is behind the creative aspect in English. Most people consider that
English is the, 'creative,' subject because of titles such as 'creative writing' and 'creative thinking' and
in contrast there is no creative something in math. In English when we are, let's say, going to write a
creative short story we use our imaginations and there are no...show more content...
SinВІ? + Cos ? | Sec ?
Cos ? |
First I would make everything over Cos ?
SinВІ ? + CosВІ ? | Sec ?
Cos ? |
Then I would apply a law...
1 | Sec ?
Cos ? |
Then a simple law...
Sec ? | Sec ?
You can prove that it is creative because a computer can't solve this equation, (a computer thinks
logically). Technically a computer could solve this equation but it could just tell you if they were
equal and not to the same level of accuracy. A computer would input a value for ? on both sides
and if the answer is equal then the equation is equal. The problem with this is that when you get
into trigonometry there could be a difference in the decilionth decimal place. A computer can't
work with the abstract which is what is in my example. A computer may take 2 seconds or a
million years to find an answer or it may give the wrong answer! The other point is that a computer
can only perform things in a certain order it can't 'guess' or have a feeling about a question, which
brings in the creative aspect.
Another example happened during one of my Calculus classes that I believe to be the most abstract
and creative of the maths. A fellow student and me figured out pie. We figured out that the integral
from 0 to1 of the square root of x minus 1 is equal to half of pie. We had huge problems figuring

4. out this
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5. Essay on Teaching Mathematics
Teaching Mathematics
My interest in teaching mathematics came from the experience of helping others. I have always
enjoyed learning math, and I realized that I also like helping other people learn math, especially
those that struggle with it or those who have a disliking for it. As a teacher, I will be able to fulfill
my aspirations; both my students and I will learn together and from one another. I feel that it is
important for me, as a teacher, to stay current and deepen my understanding of mathematics and
mathematics education. My learning will continue from my experiences and interactions as a
teacher, helping me to become a better educator. I must always be willing to learn from the things I
do and use this to better my...show more content...
Also, it is important when teaching to satisfy the needs of all students in the classroom. Everyone
should have the opportunity to learn. However, this can sometimes be a difficult task because
learning happens in a variety of ways. Not all students learn in the same manner; different learning
styles are a given in a class full of diverse students. Every student is an individual, and so they do
not all learn and retain information exactly the same way. Therefore, in order for my students to
succeed in my class, my teaching style will include many different aspects because I believe it is
helpful for students to learn with the aid of such methods as cooperative learning, technology,
manipulatives, and a variety of assessment techniques. Using these different methods will help all
different learning styles from visual to auditory to kinesthetic. Also, these are all very important
because, although lecturing can be effective sometimes, using multiple teaching methods gives
students the opportunity to experience concepts for themselves and keeps them aware of what they
are responsible for knowing and understanding. By learning in this way, students will not only find
class more interesting, but they will have a better perception of the information they are expected to
know.
Finally, most students see school and teachers as an unwanted obligation. They attend school
because they are required to,
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6. Essay on Mathematics and Art
Mathematics and art are two areas of knowledge that demonstrate different degrees of interaction
between critical and creative thinking. Whether considering mathematics or art, creative thinking
evaluates a new or original idea containing some degree of value. Critical thinking examines
assumptions and challenges a current belief or theory that has previously assumed to be true.
Although general assumptions and creativity may be considered separately when considering
extreme examples of concrete ideas and abstract ideas, the interplay of critical and creative thinking
is one method in which new and validated knowledge is attained.
Mathematics is an area of knowledge that may seemingly appear to be concrete, utilizing reason as its
...show more content...
Reasoning is required to understand all mathematical problems, but knowledge must have supporting
and accepted facts and use reason to justify its formulas or methods. For example, memorizing the
area under a bell curve is very different from understanding how it is derived and what it means.
Mathematics, however, may also be an area of knowledge in which creative thinking is an integral
component. Euclid used the idea of creative thinking in mathematical assumptions in 330 B.C when
he introduced the first systematic discussion of geometry. Euclid proved his theories from a finite
number of postulates, an idea that had previously never been achieved. These concepts remained
unchallenged until the early 19th century when others began using creative thinking to challenge his
theories and describe physical space in a plane. Creative problem solving involving mathematics can
use sense perception as a way of knowing. In these problems, real life situations require that the
student actually understand the concepts rather than memorizing facts from concrete problems.
Sense perception is the active, selective and interpretative process of becoming conscious of the
external world. For example, when trees in a forest are harvested, mathematics can be used to
determine the number of replacement trees by considering the ultimate size of the tree, the preferred
space each tree needs for optimal growth, the percentage of trees that do not grow or die, and the
length
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7. Disadvantages Of Maths
Mathematics is a challenging subject but of little practical use. Discuss. On account of the initiation
of education in human society, Mathematics has taken possession of in the programme of studies. In
the recent past, Mathematics is taken to be the foremost subject than ever before (James Lighthill,
Newer Uses of Mathematics). The essence of Mathematics is not only meant for skilled or
experienced people but also for the common man. Although, Mathematics is the study of numbers or
quantity, it has been a crucial tool in our daily life. Like, making purchases, travelling, taxes,
insurance all require mathematical calculations. As a consequence, Mathematics is a prime vehicle
for the evolution of logical thinking and other professional skills...show more content...
Last but not the least is the disciplinary value, where it contributes in the thinking and reasoning
power (1983 Bhatia, p.72). Mathematics is usually thought of as the coldest expression of pure
reason. But we can notice that quite few subjects causing an enormous feeling than Mathematics
(April 30 2014, H.J.Sherman). The biggest negative thought about Mathematics is that it suppresses
and prevents innumerable students to go for Mathematics due to its complexity and due to the
notion of having infinite formulas and calculations that are involved. In the same way, any tasks
related to Mathematics can be expressed in various ways and techniques including charts, graphs
and symbols. Any person who is ignorant of Mathematics can be easily cheated. Today,
Mathematics as an approach of thought and expression is of great worth than it was previously.
Practically speaking, Mathematics is being used almost every single day, like administering
Finances. Nowadays, almost every grown up person requires knowing how to deal with their
finances and this is the target area where Mathematics is being used in a very practical
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8. Mathematics in Everyday Life Essay
Mathematics is possibly one of the most underappreciated sciences. It everywhere in our lives,
mathematics runs our computers, flies our aircraft, and protects our information. But for such a
major part of our lives, very few people can say that they know how it is done, how the RSA
encryption protects their e–mail, or even that 21 squared is 441 without going into tedious mental
calculations or reaching for their calculator. Contrary to popular belief, mathematics has a wide
range of useful applications. Those who would ask whenever they would need algebra, both linear
algebra and calculus is used extensively in computer programming and engineering. The fact is that
mathematics is integrated into almost every profession, and every...show more content...
There are some issues with this system. For example, imagine that both Person A and Person B
want to include a third person in their correspondences, Person C. First they would need to give
Person C a key, through some sort of secure system, preferably a face–to–face meeting. But what if
Person C lives in Alaska and both Person A and Person B don't have the time, money, or desire to
travel to Alaska to give Person C the key, nor does Person C want to travel to Person A or B. This
is a key weakness of the symmetric key system. In an asymmetric key system, Person A sends
many open locks to Person B, these locks can be put on messages and only Person A has the key
to them. Person B does the same thing, now if they wish to include Person C all Person C need to
do is send open locks to Person A and Person B. In real life, there are usually two keys, one for
encryption and one for decryption, and these keys are in fact, usually numbers which determine
how the message is encoded. Now we are going to work off a common example, your credit
company. Most public key cryptography will have your encryption key public, anyone can view it,
and use it, but only you can decrypt it. So if someone wanted to send you a message, they would
take your key, encrypt your message, and leave it in your mailbox, you would then use your
decryption key, to decipher the message. The main problem with public key cryptography is that no
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9. History Of Math Essay
The History of Math
Mathematics, study of relationships among quantities, magnitudes, and properties and of logical
operations by which unknown quantities, magnitudes, and properties may be deduced. In the past,
mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of
numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the
middle of the 19th century, however, mathematics came to be regarded increasingly as the science
of relations, or as the science that draws necessary conclusions. This latter view encompasses
mathematical or symbolic logic, the science of using symbols to provide an exact theory of logical
deduction and inference based on...show more content...
The Egyptians used sums of unit fractions (a), supplemented by the fraction B, to express all other
fractions. For example, the fraction E was the sum of the fractions 3 and *. Using this system,
the Egyptians were able to solve all problems of arithmetic that involved fractions, as well as
some elementary problems in algebra. In geometry, the Egyptians calculated the correct areas of
triangles, rectangles, and trapezoids and the volumes of figures such as bricks, cylinders, and
pyramids. To find the area of a circle, the Egyptians used the square on U of the diameter of the
circle, a value of about 3.16–close to the value of the ratio known as pi, which is about 3.14. The
Babylonian system of numeration was quite different from the Egyptian system. In the Babylonian
system–which, when using clay tablets, consisted of various wedge–shaped marks–a single wedge
indicated 1 and an arrowlike wedge stood for 10 (see table). Numbers up through 59 were formed
from these symbols through an additive process, as in Egyptian mathematics. The number 60,
however, was represented by the same symbol as 1, and from this point on a positional symbol
was used. That is, the value of one of the first 59 numerals depended henceforth on its position in
the total numeral. For example, a numeral consisting of a symbol for 2 followed by one for 27 and
ending in one for 10 stood for 2 Г— 602 + 27 Г— 60 + 10.
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10. Math Reflection Paper
Reflection Paper
Peggy Clayton
University of Phoenix
MTH/214
Shannon Manke
January 18, 2010
Running Head: Reflection Paper
Math 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...show more content...
I have been in a lot of class rooms and one of the main things that were told to me is to get involved
with your students. So now I am a firm believer that when you get involved with your students they
will learn and pick up the concepts faster. With all the hands on activity and learning manipulative
this is a great way to teach students math theories. When students are given a pencils and full page of
math problems they tense to get bored with math all together. Using manipulative and getting
involved will help keep students on track and enjoyed the class more. Students like when teacher are
interacted with them, it makes them feel closer to the teacher as well as wanting to participation in
class more. The key to teaching is to be more interacted with the students and not just sitting students
down with pencils and paper and accepted them to learn.
As a future teacher in elementary education learning these math concepts and finding a comfort
within me to teach these concepts is very important. I have enjoyed working in a school setting for
the pass third five years and have seen many different ways of teaching method as well as seen many
different theories come and go. I do relate to the concept and ways of teaching throughout the course.
As a teacher she must show the students that she can get involved with them. Students love how
different methods are taught to remember certain concepts like riddle and rhymes "example

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