## CHECK THESE SAMPLES OF Teaching of Advanced Mathematics

... Overview of the Current Preschool **Mathematics** **Teaching** Children in the early childhood stage usually get their first taste of math concepts and learn their first known math skills when they step into a day care or nursery program. A special committee of the National Research Council (2009) has concluded that most young children have the ability to learn and be really competent in Math, but there are many constraints that deter them from being so. One is parental attitudes that influence how they regard Math. Another is also the way teachers of early childhood education do not prioritize Math as much as literacy learning. Children who are exposed to negative views of Math at such an early age, are most likely to develop the same negative...

11 Pages(2750 words)Dissertation

(c) Let us take values u1 = 1 u2 = 2 u3 = 3 u4 = 4 p = q = 1 Putting these values in the MS Office Excel gives the following output. Input Parameters u1 = 1 u2 = 2 u3 = 3 u4 = 4 p = 1 q = 1 Output Values a = 1 b = 1 c = 2 d = 0 The excel file is also attached an if the input values for u1, u2, u3, u4, p and q are changed the solution values a, b, c an d will also get suitably changed. Q1. (d) A set of ‘m’ linear equations in ‘n’ variables is expressed by the following equation in terms of matrix notation: Ax = b Where A is ‘mxn’ matrix of the coefficients of the system x is ‘nx1’ column vector and b is ‘mx1’ column vector If the ‘b’ vector is a zero vector i.e. all the elements of this vector are zero, then the system of equation...

10 Pages(2500 words)Essay

... Discuss briefly the theory and application of each of the following: Maclaurin’s series and Taylor’s series – Taylor series basically refer to apower series solution by means of solving first order differential equation in which a function is expanded into an infinite series of a variable ‘x’ or into a finite series with an additional remainder term. As a **mathematical** tool in computational sciences, Taylor series are widely utilized in approximating values of a given function. These are often useful in areas such as determination of limits and error, optimization of functions, as well as evaluation of definite integrals especially of functions that are rather too complex to be dealt with via simple algebraic method. Maclaurin series...

13 Pages(3250 words)Essay

...Topic: **Teaching** Methods - **Mathematics** People may think that counting is easy, and certainly sometimes it is. But some of the aspects of counting are not simple, especially if counting large numbers is encountered by new learners. Children even at the age of 4 can count to 12 and often a 4 year old can count of 40. But how children these children learn to do this
Learning numbers, need to understand and principles before they can accurately
count.
The following principles are:
a. one to one correspondence
b. Stable order
c. Cardinality
A. In One to one correspondence principle each object should be labeled with one number, so that no object is missed and the same is not counted twice.
For instance, If counting 2 crayons, the red...

2 Pages(500 words)Essay

...Running Head: DEVELOPING **MATHEMATICAL** UNDERSTANDING AND PROMOTING HIGHER ORDER THINKING SKILLS IN SCHOOL EXPERIENCE University:
Tutor:
Date:
Introduction
According to Training and Development Agency (2009), promoting an excellent learning atmosphere for children where they get to gain a good **mathematical** understanding and attain higher order thinking skills a teacher ought to employ various techniques in **teaching** in accordance with to the Qualified Teacher Status (QTS) standards which are very valued in the United Kingdom and especially in England they are compulsory.
Teachers should be able to gauge themselves on effectiveness and engage in activities that aim at improving...

3 Pages(750 words)Essay

...Instructions: Independent study. Choose a topic within algebra for independent study. Your topic should be **mathematics** that you have not studied before or that goes beyond what you have studied. For example, you may use this topic on"Nuclear salvation or nuclear folly" by R.E Lapp.
Do not think about developing a lesson plan, or to **teach** your topic to children. A little story of **mathematics** is welcome, but that should not be the main theme of your paper. The objective is to describe some **mathematics** that you have learned. Include a summary of why you selected your topic, and what you learned about it from each resource that you used. Also include some questions provoked by what you learned on the topic.Include a bibliography and /or list...

4 Pages(1000 words)Article

If we let "s" stand for the number of kth powers, then g(k) is the least such "s" powers. Some examples of g(k) are: g(1) = 1; g(2) = 4, since from Lagranges 4-square theorem, every natural number is the sum of atleast 4 squares. In addition it was found that 7 requires 4 squares and 23 requires 9 cubes.

Progress was made on Warings Problem by establishing bounds, or the maximum number of powers. For instance, Liouville found that g(4) is at most 53. The work of Hardy and Littlewood also led to other bounds; in particular, they found the upper bound for g(k) to be O(k2k+1).

The work of Hardy and Littlewood also led to the realization that the number G(k) is more fundamental than g(k). Here, G(k) is the least positive in...

6 Pages(1500 words)Essay

...1. An instance in my daily life where I rely on the skills of rounding and estimating is when I do the grocery shopping. In order to get a fair estimate of what my bill is up to, I roughly calculate the value of each shopping item by rounding to the closest whole number. An occupation such as a shop teller would need to have sound multiplication and division skills because their job requires them to give and receive the right amount of change.
2. The concept of negative numbers is harder to grasp because there cannot be anything less than nothing, which is what zero is. An example of where it is important to understand integers in the financial world is with banking (Glydon). If someone spends more than they have available... An instance in...

1 Pages(250 words)Essay

... faced when **teaching** decimal concepts to children. Up to this point, the paper has summarized three basic misconceptions about decimals created by children due to different experiences in learning **mathematics**. However, it is vital to note that as children **advance** in education, they accept and gain correct insights about decimals. It should also be the intention of teachers and educators to eradicate misconceptions. It is also fundamental to note that, it may be hard to eradicate student’s misconceptions as it is also hard to **teach** without creating false impressions. Therefore, many areas in **mathematics** need extreme understanding as a measure to eradication of hypothesis created behind them. Developing **teaching** methodologies that eradicate...

8 Pages(2000 words)Essay

...**Mathematics**: Open/Closing Credit The credit card will largely depend on the credit card holder purchasing behavior. Your current card charges 16.5% annually. Therefore, interest charges on a balance of $5,000 will be given by:
This is the interest charged on your current card, regardless of the duration. On the other hand Visa Student Card charges a lower annual percentage of 10.8% after a 6 month 0% interest period. On a balance of $5,000, the interest will be;
Obviously, the student card charges a lower interest compared to your current card and even offers a grace period of 6 months interest free which makes it an attractive option. However, since you usually have a large outstanding balance, chances of defaulting or exceeding...

1 Pages(250 words)Speech or Presentation

Although multigrade teaching is most associated with developing countries, the use of this type of system is not limited to Africa and the Caribbean. “Multigrade classes, in which teachers work with more than one curriculum grade at the same time, are widespread in developing countries. They are also surprisingly common in industrialized countries. Yet the needs of learners and teachers in multigrade classes remain invisible to those who plan, design and fund education centrally” (O’Toole, 2006). There are several reasons why districts may choose to utilize the multigrade system, sometimes out of necessity and sometimes as a deliberate choice, just as there are several ways in which the system can be organized. I...

7 Pages(1750 words)Essay

Our performance test is aligned with our performance objective, therefore it is valid. If, however, we make use of a written test and ask our students to write down the steps of baking Shrewsbury biscuits, from the very beginning up to the end, to measure their ability to bake it as explicitly stated in our performance objective, our evaluation tool is far from being valid. To write down the steps of baking in order is one thing and to bake it is another thing. The scheme of work is challenging enough for those talented individuals or those in the Intuitive-feeling (self-expressive) and Sensing-Feeling (interpersonal) style of disposition. While for those gifted or those in the Sensing-Thinking (mastery) and Intuitive Thinker (und...

10 Pages(2500 words)Assignment

According to Bell (2004), in the United Kingdom, the government has implemented the Primary National Strategy which provides a framework for implementing ICT technology in learning. It has been recorded that primary schools have an average of 37 computers in each which are used by teachers and students in learning. There is great access to computers in secondary schools than in primary schools. It is also noted that the development of the use of ICT in teaching and learning in secondary schools is relatively more stable than in primary schools in the United Kingdom. This is perhaps due to the trickle-down effect. The trend is catching up well in primary schools which have established computer laboratories to offer ICT learning to...

7 Pages(1750 words)Term Paper

Herein, comparisons will be made to highlight the differences in using anatomical models for study versus self-directed (usually textbook) learning. As well, the use of tutors as an advantage in the medical classroom will be discussed.

Some students are hands-on learners. For them, three-dimensional (3D) anatomical models are effective. “Exploratory tools enable users to investigate structures in ways not possible in the real world” (Implementing, para. 3). These 3D models can represent just about any part of the human body. Models are available of small structures, like the head, or of the entire human skeleton. Models of the entire human body can also be purchased. Some of them even have removable parts so...

6 Pages(1500 words)Report

I will begin my evaluation with the objectives of the course, discuss a theory that is relevant to learning styles to see how it fits with the course and then provide my conclusions about how this course meets the objectives of the course.

I am assuming that the Teaching and Learning Strategies class was created for students at the college level who were going into some form of teaching or training.

To evaluate this course it is a good idea to start from the beginning and look at the objectives. As I was looking for references in this process, I found a website that had tips for designing instruction that I felt would offer me a structure to work within. According to "Instructional Design," the instruct...

7 Pages(1750 words)Term Paper

When students learn science, they construct meanings and develop understandings in a social context, state Duit & Treagust (1998: 4). Classroom verbal discourse in the form of teacher talk and teacher-student interactions form the basis for most of this meaning-making. Because teacher questions are a frequent component of classroom talk, they play an important role in determining the nature of discourse during science instruction. The cognitive processes that students engage in, as they undertake the process of constructing scientific knowledge, to a large extent depend on the kinds of questions that teachers ask and their way of asking the questions.

Chin (2007: 816) conducted a study to investigate questioning-bas...

7 Pages(1750 words)Case Study

“Language occurs through an interaction among genes (which hold innate tendencies to communicate and be sociable), environment, and the child’s own thinking abilities” (Genishi, 2006). But just how does this happen? How do children learn to use sounds to communicate and then to place those sounds in the correct order to make themselves understood? While some of this behavior can be attributed to the imitation of the caregivers, there remain aspects to the development of language and communication that cannot be so easily explained. To provide a more complete understanding of how language and communication develop in the young child, it is necessary to understand not only the primary terms that are applied, but al...

12 Pages(3000 words)Case Study

... confidence, improving motivation and stimulating interest, and creating an overall good classroom environment.
During the last two decades, huge **advances** in computer technology for information and communication purposes have impacted upon all levels of education and many courses as well. Using technology to support the **teaching** of **Mathematics** generally started later than for other subjects. The first electronic machine used to assist in calculation however was not the computer but the calculator. In schools in the US, UK and some other countries, the calculator has been used since the early 1980’s. Incidentally, before electronic calculators, there were mechanical calculators and even before that the slide rule to aid calculation. In US...

7 Pages(1750 words)Case Study

In practical terms, this means the way in which cultural meaning is constructed and the direct and implied messages that are conveyed by the act of speech, the level of politeness, discourse organization and the register used.

This has far-reaching implications for the second language classroom, where the learning process may involve the making of assumptions based on L1 ‘implicit mental representations’, that do not match those needed for the target language. If not addressed during the teaching or communicative learning process, this may lead to the application of wrong codes to the L2 task, potentially producing misunderstandings that may result in embarrassment and feelings of failure for the student, th...

7 Pages(1750 words)Article

...An overview of Effective Practices for **Teaching** Children to Read **Teaching** how to read is a complex process that requires a lot of expertise and experience. It is an art and a science at the same time. Its scientific part requires that the teacher should possess the necessary skills about reading, based on scientific evidence. It is an art since it requires that the skills be applied effectively in order to achieve the best results. A difficulty comes in the actual application of the skills. A teacher may be well equipped with the scientific knowledge but may lack on the effective **teaching** practices, which are necessary in delivering. A teacher who knows to **teach** how to read is the one who associates well with the children and knows...

7 Pages(1750 words)Research Paper