China and America Educational System Essay Example | Topics and Well Written Essays - 2500 words

China and America Educational System - Essay Example From the discussion it is clear that  the college application in America considers the student’s own future career expectations unlike in China’s system were the college selection process is entirely determined by standardized tests that are administered annually. The pressure to pass these tests creates a burden since prospective college students will have to spend long hours while doing their revisions in order to ensure preparedness. Most higher education institutions in America have their own admission criteria and requirements depending on the preferred study program and thus comprehensive abilities and attributes of the prospective student are important in the selection criteria.As the paper highlights that  China and America education system differ from the way the curriculum is taught since American system values personal expression in the teaching strategies unlike Chinese system that values teacher lecturing. The American classrooms are based on discussion of materials and posing questions to students thus ensuring students actively participate in learning unlike China’s curriculum delivery methods that mainly involve lecturing and minimal participation of students during the learning process. The difference is evident in the differing attitudes of students while in classroom since American students are more likely to engage in group discussions that may sometimes be boisterous unlike Chinese classrooms where students remain more attentive to the teacher unlike they are called upon by the teacher to answer to questions while learning.

Analysis Of Celcom Axiata Investment In Tune Talk Marketing Essay

Analysis Of Celcom Axiata Investment In Tune Talk Marketing Essay Celcom Axiata is a member of Axiata Group is facing tough competition against the other major telecommunication rivals. Having coined as malay telco provider that is, Celcom Axiata has weak penetration into some major markets and the strategy to overcome this is by appointing the Mobile Virtual Network Operators (MVNO) to penetrate into the identified markets using their own brand, look and feel. Celcom Axiata business model for Tune Talk MVNO is by having 35% stakes in the company. After over 11 months in operation, Celcom Axiata is reviewing its position in this company whether to remain its stake, increase its shareholding or pullout. Prior to making any decision with its investment, Celcom Axiata needs to evaluate the existing Tune Talk financial standing and its capability to provide the required return on investment as well as its ability to handle the issues at hands especially those concerning the cash flows. Introduction Celcom Axiata is one of the 4 major mobile telecommunication companies in Malaysia. As at 31st March 2010, Celcom Axiata was ranked as second largest mobile telecommunication company behind Maxis, and ahead of Digi and U Mobile respectively. Celcom Axiata is a member of Axiata Group of companies who manage a group of Mobile Telecommunications in the Asia region. Axiata Group was previously known as TM International and part of TM (Telekom Malaysia) Group. The process of de-merger within TM Group saw the birth of Axiata Group, meant to focus on mobile telecommunications arm of the corporation within the region whilst TM continue to maintain its fixed lines business as well as broadband provider. According to the first quarter financial report, Celcom Axiata continue to show double digit growth on a YoY basis in all key indicators. Revenue was up 15% whilst Earning Before Interest Tax Depreciation and Amortization (EBITDA) increased by 16%. In tandem, Profit After Tax (PAT) was up 24% in the same period. On a QoQ basis, Celcom continued to show positive performance. Despite coming off an exceptional 4Q09, which recorded the highest ever quarterly growth, revenue growth was marginal, but still up by 0.2%. Continued focus on costs saw EBITDA up by 2% with margins improving by 0.7 percentage points QoQ to 45.4%. PAT showed a robust increase of 7% to RM441 million (Celcom Axiata media release, 27th May 2010). Celcom Axiata has been aggressively expanding its network and coverage to cater for the increasing demand by the customers. Despite its continuous efforts to penetrate into the various segments in this country, Celcom Axiata still lagging in some of key markets such as the Chinese market segment, immigrant market segment and student market or low income earners segment. These markets are predominantly controlled by Maxis and Digi and will be the key success factor for Celcom Axiata to capture in order to become the number one mobile telecommunication provider in this country. One of the strategy to penetrate into these segments as single out by Celcom Axiata is by way of having a Mobile Virtual Network Operator (MVNO) approach. MVNO means Celcom Axiata will appoint a third party to run the mobile business using their own brand, leveraging on their own strength such as networking, channel of distribution, marketing and customer service. By doing this, Celcom Axiata can reduce its financial burden on the go-to-market cost which in turn will be born by the MVNO partners themselves. To date there are four MVNOs appointed and launched by Celcom whereby each of them is given different market segment to penetrate and capture. Each MVNO is treated as separate entity from Celcom Axiata where the respective MVNOs have full control over their own operations and management of the companies except for Tune Talk Sdn Bhd where Celcom Axiata has 35% share of the company. Being different business model from other MVNOs, Tune Talk Sdn Bhd is seen as another Celcom Axiata joint venture company. Tune Talk is owned by the following shareholders as shown in figure 1 below : Tune Ventures (owned by Datuk Seri Tony Fernandes and Datuk Kamarudin Meranun) Individuals shareholders are Datuk Seri Kalimullah Masheerul Hassan, Lim Kian Onn, Jason Lo (the CEO of Tune Talk), Gurtaj Singh (the COO of Tune Talk) and Mark Lankaster (the CEO of Tune Hotels) Celcom decision to have its stake in Tune Talk is to ensure it has some form of control as one the major shareholder. Although Tune Talk management will have the control over the management of the company but the shareholders will have their voice heard during the monthly board exco meeting. Having represented by 2 permanent exco members from Celcom, it can ensure that Tune Talk business plan and strategies are in line with its goal to become one of the top mobile service provider in this country. The Situation Tune Talk is approaching its first anniversary on the coming 19th August 2010. Celcom need to assess its investment and evaluate whether Tune Talk business is moving to the right direction and hence generate the desired dividends to shareholders. In order to achieve the target, Celcom needs to keep track of Tune Talk managements way of running the business. The permanent exco members sitting in the boardroom must be able to drill down to the bottom line and analyze their way of spending their fund. This is very important to Celcom as the major shareholder in Tune Talk so it can decide on the next course of actions such as to inject more fund into Tune Talk, or to remain its position without adding anymore cash or worst case decide to pull out from the pack. Prior to such decision, Celcom needs to gather as much information as possible with regards to Tune Talk financial position, business directions, marketing strategies and other commercial matters which will be the key determination factors. Based from the previous exco meeting it was learned that Tune Talk is facing difficulties to move forward with its business plans and marketing strategies due to shortage of cash flow. Tune Talk Chief Financial Officer (CFO) during his presentation to the board of directors highlighted the following scenarios : a. Increase in Managed Services Costs Tune Talk adopted the managed services concept to deploy and maintain the Intelligent Network (IN) billing system, network related infrastructure namely Short Message Services Centre (SMSC), Home Location Register (HLR) and other Value Added Services (VAS). Managed services concept is a new trend in telecommunication and information technology (IT) business whereby the customers or business operators do not buy outright the related systems but pay to the supplier or provider on usage based. This method saves the company from spending an upfront purchase of an asset, hence reduce the cash outflow. Managed services can help a particular company to avoid from having to allocate depreciation cost which may impact the company balance sheet. In the case of Tune Talk the burden they are facing now is due to the increase in the amount to be spent on this managed services. The deal they are having right now is based on the number of subscribers using the system, the higher the number of subscribers the higher the managed services cost to be incurred. The amount will grow in tandem with the intake of new subscribers where the average cost per subscriber remain unchanged. Unlike buying own fixed asset, the average cost will tend to reduce as the number of new subscribers grow until it reaches the economic of scales. Increase in Channel and Distribution Cost In Malaysia, all the mobile operators are highly dependant to the normal traditional channel ie. mobilephone dealers to sell its SIM card and recharge vouchers. Being too dependant to this type of distribution channel will increase the companys cost of sales whereby for every sales of SIM cards or recharge voucher the company needs to allocate some amount of percentage as an incentive for them to push its products over the competitors. Traditionally, in mobile telecommunication business the channel of distribution consist of 3 layers : distributors master dealers ordinary dealers Normally only a handful of distributors are being appointed to distribute to the master dealers whom will then sell it through the ordinary dealers. Each of these channels will keep a small percentage as their incentive from the retail price. Operators are normally stuck with this channel cost which they cannot run away with in order to push their products to the customers. On average an operator will have to spend not less than 10% from its retail price being part of the channel cost. Allocation for Marketing Cost As a new mobile operator in Malaysia competing against the other 4 major mobile telecommunications service providers Tune Talk is facing a tough time to introduce its brand to the market. According to Nielsen Co Malaysia 2009 report (a research company), the telecommunication companies are among the highest contributor to the total advertising expenditure in Malaysia with Celcom leading the pack at RM 115.8 million, followed by Telekom Malaysia at RM 94.3 million, Maxis with RM 89.7 million and Digi for RM 87.1 million (see Figure 2 below). Newspaper and TV advertisement represent the top 2 categories for advertising followed by Radio, Magazine and Outdoor. To date Tune Talk had already spent RM 2 million in their advertising cost through billboards, newspaper, TV and radio advertisements. This amount is rather very small compare to the amount spent by the big giants and it may not give the required exposure that Tune Talk expected to create its brand awareness to the market place. Based from the report and dip stick survey conducted by Tune Talk marketing department their brand index is still very low and they would require more fund to be pumped in for this purpose. Slow Moving of Customer Recharge Activities Tune Talk is only selling prepaid mobile and it main source of income is by selling the SIM card and recharge vouchers. As far as Tune Talk is concern the revenue generated from these sales are considered as their income (based on the generally Accepted Accounting Principle). This is due to the fact the income will be reported when it is earned (Ross, Westerfiled, Jaffe, Corporate Finance, 7th edition). The good thing about prepaid business is the transactions are in cash terms. This means Tune Talk will get to record the transaction into its book as and when the SIM cards or vouchers are sold to the distributors. In accounting, the revenue from sales of SIM cards and recharge vouchers will only be realized upon usage and not upon sales. Nonetheless, as far as Tune Talk income is concerned it has already acquired the money from the distributor and realized in its book as income as per GAAP. As a rippling effect to lack of awareness of its brand in the market place, Tune Talk sales of SIM cards and recharge vouchers are moving rather at a very slow pace. Table 1 below is example of the average sales and projected 1st year revenue from SIM cards and recharge vouchers : Table 1 Items Average Monthly Revenue Projected 1st Year Revenue SIM Cards RM 500,000 RM 6,000,000 Recharge Vouchers RM 900,000 RM 10,800,000 Total RM 1,400,000 RM 16,800,000 This figure is far cry from the original budget that Tune Talk has to make which is RM 36.0 million for its first year operation and increase to RM 50.0 million and RM 72.0 million in year 2 and 3 respectively. High Customer Turnover or Attrition Rate It is common in the prepaid business industry that users tend to move or hope around from one operator to another operator to find for better offer and cheaper cost. Tune Talk is also affected by this game by the customers whereby the rate of customers churning out or leaving for another brand keep on increasing on month-on-month basis. Malaysian prepaid business industry rate of customers staying in a particular operator (industry language is length of stay) is in average of 6 months. However in the case of Tune Talk its customers average length of stay is a mere 3 months which is about half of the industry average. The impact of this short stay will cause a high acquisition cost to Tune Talk whereby its cash flow will be badly affected. In order to stay healthy, Tune Talk needs more than 3 months for each customer with average usage of RM 30 per month to recover its upfront acquisition cost such as the channel incentive, marketing cost and the other variable costs. Shortage of Cash Tune Talk started off its business with RM 7.5 million worth of shares with 35% own by Celcom whilst the remainder are by several other individuals. After 11 months of operations, Tune Talk is now facing with the most critical moment in its business where their cash flow is deteriorating. Despite being a lean and mean in expenditure and had not spent any money on fixed asset, Tune Talk still face the cash flow difficulty. An area that has badly affected Tune Talk cash flow is the channel incentive and the wholesale airtime rates that it has to pay back to Celcom. With intense competition Tune Talk needs to set its incentive on par or slightly better than the competition in order to get the channel attention and support. On the other hand, the prepaid business market is competing on the call rates to be offered to the end users in order to beat the others. Since Tune Talk is buying its airtime from Celcom at fixed rate, the competition which had forced Tune Talk to also lower down its selling rate to the end users had cause Tune Talk margin to shrink and became smaller. The result is, the income collected from the sales of SIM cards and recharge vouchers will have to be spent largely to incentive and wholesale airtime to Celcom, leaving only peanuts to Tune Talk to be used to re-generate its business. It is also better for Tune Talk to maintain a level of working capital that allows it to make it through those crunch times and continue to operate the business within tight budget (Cater McNamara, Authenticity Consulting LLC). Action Celcom Axiata really need to review its investment in Tune Talk Sdn Bhd by looking at the present situation and its potential. It is a known fact that every new business need some times to be able to stabilize and start to show positive result out of its investment. As far as telecommunication industry is concerned, a minimum of 3 years is required in order for a particular mobile operator to have a strong foothold and have substantial subscriber base to be relevant. The question here is whether Tune Talk strategies are gearing towards the right direction which will guarantee to bear fruits at the end of 3 years? How much will investor need to pump in to ensure that Tune Talk can still survive until the 3rd year ? It is imperative that Celcom Axiata representatives in the Tune Talk board of directors to insist Tune Talk management to review their existing business models which had obviously affected their cash flows. Serious attention must be given by Tune Talk management to revisit its dependency on the existing channel which will become its biggest threat in trying to minimize its cash out flows. Tune Talk management also needs to re-negotiate with its managed services provider to review the charges being imposed to Tune Talk for every new subscribers added into the system. The charges should be on decreasing trend as more customers being added. Tune Talk may also want to consider finding new manage service provider should the negotiation come to a dead end. This is important in managing Tune Talk spending over the long run. Prior to Celcom Axiata to make any decision with its investment, it needs to analyze Tune Talk financial condition. It is advisable for Celcom Axiata to scrutinize the Tune Talk financial management and ensure that all the monies are well spent and efficiently managed to protect its interest. Celcom Axiata finance manager needs to advice the Chief Financial Officer (CFO) of the real condition of Tune Talk by analyzing its financial statement cash flows. Having spent for over RM 2.6 million and holding 35% of Tune Talk shares, Celcom Axiata has the responsibility to report to its board of directors on the progress of its investment. The Celcom Axiata board of directors must be very interested to know whether the management of Celcom Axiata has made the right decision by investing in Tune Talk. One thing interesting in this business model ie MVNO is because the airtime being sold by Tune Talk (in this case the MVNO) is using Celcom network infrastructure. This means even though Tune Talk does not make huge profit and may not be able to provide the required rate of return in terms of dividends to the shareholders but as far as Celcom Axiata is concerned, it still make money from the airtime sold. Thus, board of directors of Celcom Axiata may well be pleased by the increase in Celcom Axiata revenue alone rather than going down to the details of earning through the Tune Talk dividends. Another area that needs special attention is to assess the existing Tune Talk management team style and business competencies. This industry is regarded as highly competitive and it takes excellent team to be able to compete with the big boys (as being referred to the seasoned mobile operators). Celcom Axiata representatives in the Tune Talk exco members must be able to provide information to the Celcom Axiata management whether there is an existence of conflict of interest in the Tune Talk management team. Although according to Vishny and Robert W, NBER Reporter, September 1989 said that the standard and ideally corporation allows management to have 5% of shares. This can be ascertained by judging into their way of running the business, their seriousness in fulfilling the required tasks as outlined in the business plans, their priorities in spending and handling the cash flows. Conclusion It is probably premature for Celcom Axiata to make decision to pull out from this pack by merely basing on the first 11 or 12 months Tune Talk operation. However any decision to increase its capital in Tune Talk either by buying more shares or by pumping more money to support Tune Talk operations must be done with great detail analysis. It is not advisable for Celcom Axiata to simply inject more cash to Tune Talk without seeing any progress or improvement on some of the area of concern which have been highlighted in previous pages. The major issues that need to be really scrutinize by Celcom Axiata financial manager is on the cash flow management. The action items highlighted in previous pages suggested Tune Talk to improve the way it runs its business which will eventually give a positive impact to its cash flow. It is said that high risk will normally generate high rate of return, but having said that, the save decision at the moment is for Celcom Axiata to remain its position without adding more cash but to continue to monitor Tune Talk progress and improvement. After all, Celcom Axiata is the one who makes more money from anyone else in the pack which is through the sales of wholesale airtime. This investment although had not been able to generate dividends to Celcom Axiata but somehow has managed to complement the weak area that cannot be penetrated by Celcom Axiata using its own brand.

Ponder the Meaning of Life With 1984 and The Matrix Essay example --

The film The Matrix, directed by Andy and Lana Wachowski, may seem to be a unique, original storyline to the untrained viewer, but the story of a totalitarian government and a hero who attempts to save the people is far from this. In reality, there are so many similarities that can be seen in other texts that were written and filmed before that it cannot be ignored. In particular, George Orwell’s 1984 has a similar government that controls its people and a â€Å"hero†, Winston, who is also searching for the truth. Winston lives Oceania where Big-Brother and â€Å"The Party† schedule your entire lives telling when to sleep, eat, and work and keep you under constant surveillance. This is similar in The Matrix, where most of the humans lived in a computer-programmed world which is also constantly surveyed by government authorities. The Wachowski siblings’ film, The Matrix, connects with the concept of dystopia as expressed in George Orwell’s novel, 198 4, by referring to a totalitarian government and the lack of choices, which it accomplishes through the introduction of new surveillance technology, comparing two worlds, and a hero’s journey to liberate the people. The use of new surveillance technology in both 1984 and The Matrix helps to make a world in which people are truly living under complete control believable. In The Matrix, it is possible to hack into the Matrix world, but the government is easily able to detect where the hack is happening and catch up to the hackers. One example in the film is when Neo goes with Morpheous and his crew back to the â€Å"Matrix† world and the government agents quickly catch up with them, breaks into their â€Å"warehouse†, and nearly stops them from leaving to go back to the real world. The government is an omn... ... point that the Wachowski’s are making: freedom and choices give life meaning. We can easily see how the Wachowski’s drew from similar ideas as Orwell in 1984, but has a more hopeful ending. Both texts use surveillance to show how the people are under complete control and show us a world where people believe the lies and are trapped in. The one major difference is that one text does not give us hope and belief that things can be changed, while the other one does. The Matrix does that latter. They give us hope by showing characters that live in a real world with freedoms and are happy. Neo’s life does have a meaning and a purpose. Without seeing the same conclusion in 1984, but with a depressing ending, one would not be able to see as clearly in The Matrix that having freedom and choices is what gives life meaning and we must strive to always keep our freedoms. Ponder the Meaning of Life With 1984 and The Matrix Essay example -- The film The Matrix, directed by Andy and Lana Wachowski, may seem to be a unique, original storyline to the untrained viewer, but the story of a totalitarian government and a hero who attempts to save the people is far from this. In reality, there are so many similarities that can be seen in other texts that were written and filmed before that it cannot be ignored. In particular, George Orwell’s 1984 has a similar government that controls its people and a â€Å"hero†, Winston, who is also searching for the truth. Winston lives Oceania where Big-Brother and â€Å"The Party† schedule your entire lives telling when to sleep, eat, and work and keep you under constant surveillance. This is similar in The Matrix, where most of the humans lived in a computer-programmed world which is also constantly surveyed by government authorities. The Wachowski siblings’ film, The Matrix, connects with the concept of dystopia as expressed in George Orwell’s novel, 198 4, by referring to a totalitarian government and the lack of choices, which it accomplishes through the introduction of new surveillance technology, comparing two worlds, and a hero’s journey to liberate the people. The use of new surveillance technology in both 1984 and The Matrix helps to make a world in which people are truly living under complete control believable. In The Matrix, it is possible to hack into the Matrix world, but the government is easily able to detect where the hack is happening and catch up to the hackers. One example in the film is when Neo goes with Morpheous and his crew back to the â€Å"Matrix† world and the government agents quickly catch up with them, breaks into their â€Å"warehouse†, and nearly stops them from leaving to go back to the real world. The government is an omn... ... point that the Wachowski’s are making: freedom and choices give life meaning. We can easily see how the Wachowski’s drew from similar ideas as Orwell in 1984, but has a more hopeful ending. Both texts use surveillance to show how the people are under complete control and show us a world where people believe the lies and are trapped in. The one major difference is that one text does not give us hope and belief that things can be changed, while the other one does. The Matrix does that latter. They give us hope by showing characters that live in a real world with freedoms and are happy. Neo’s life does have a meaning and a purpose. Without seeing the same conclusion in 1984, but with a depressing ending, one would not be able to see as clearly in The Matrix that having freedom and choices is what gives life meaning and we must strive to always keep our freedoms.

Effective Communication in Teaching Essay

Effective communication skills are essential for early childhood educators to ensure a high level of academic care is provided and to develop strong relationships both inside and outside the classroom. Without good communication there is no connection and a teacher will struggle to provide any type of educational experience to the children in their care. As stated by Johnson (1999)â€Å"communication is an ongoing process of sending and receiving messages that enable humans to share knowledge, attitudes and skills. Effective teaching depends on successful communication† (p4). Johnson (1999) believes that â€Å"communication is the driving force in any relationship or situation† (p3), therefore without effective communication the relationship and learning process will suffer. The two types of communication used by teachers are verbal and non-verbal. Verbal communication is the most obvious form and is used in an early childhood education setting constantly throughout the day. This can include teacher to child, teacher to teacher, child to child and teacher to parent. In an early childhood education setting, communication between teachers and children begins with a greeting in the morning as classes commence, and would continue constantly throughout the day. A typical day in a pre-school or infant’s school classroom would include activities such as roll call, group discussions and presentations like show and tell or news. These events would be a daily occurrence working to encourage communication between the teacher and the students, as well as between the students themselves, by giving each party a chance to speak and listen and exchange information and ideas. The day would continue with the teacher presenting new ideas and skills as part of the curriculum and, on a more casual basis, outside the classroom, during breaks and sport sessions. It is important for early childhood educators to be able to recognise the different learning styles of children and be flexible when communicating concepts and the content of lessons. A study by Geng (2011) discusses several different techniques that can be used when communicating with children and these include voice control, for example, using a certain tone  of voice to demand attention at the front of the class or a softer tone when trying to form a bond in the first phases of a relationship. Another useful technique when communicating with young children is to use short phrases and deliver instructions in a clear and concise manner. By using too many words, or words children do not understand the main message can be lost as they become confused or lose focus. Another way to ensure children follow along easily is to repeat instructions and new information, reiterating the main points to ensure they are heard and understood. Requesting a student to repeat the instruction back to the class allows the teacher to ensure they understand and is another chance for the instruction to be given to the class again. Visual clues are also used in a learning environment and within early childhood education these can include tools such as flash cards, pictures or posters and can be particularly useful when learning new words, spelling and basic mathematics, such as times tables. Non verbal communication is just as important as the more obvious verbal form. An early childhood educator must be able to communicate non-verbally. Johnson (1999, p.6) believes that children react better to this type of communication. Some examples of non verbal communication include facial expressions, touching and body movements, eye contact and use of personal space. By teaching children to understand non-verbal communication cues, their overall skills are enhanced as the two types of communication cannot succeed without each other. Knott (1979) defines the types of non-verbal communication in three categories: kinetic; body movements and gestures, paralanguage; voice qualities such as grunting and yawning, and the use of social and personal space. She states that these types of communication â€Å"play a significant role in the development of effective communication†¦ they are integral elements in all face to face communication† (p 227). It is essential that children learn to interpret these types of non-verbal communication. When combined with verbal communication, these skills will assist them to successfully communicate throughout life in many different situations, not just in an early childhood education setting. To enable educators to be the best they can be they must be able to communicate well with their peers. Exchanging ideas and information on the curriculum, teaching strategies, students, and problem solving ideas are daily occurrences for teachers. This will assist them in developing skills and furthering their knowledge. Both verbal and non-verbal communication is used between peers. An example of verbal communication between teachers would be colleagues exchanging ideas in staff meetings and discussions and a non-verbal example would include written reports and records about the students. Teachers play an important role in helping children develop relationships with one another. As an early childhood educator they are witness to the forming of many friendships between the children in their care. It is vital that these relationships are encouraged and guided to ensure all children feel happy, loved and secure with their place in the class or friendship group. Communication is the key to successful relationships and Kranyick (1975) believes that the ability to listen well is just as valuable as being able to project your message well. â€Å"The basic premise of the integrated day and family grouping is based on children learning from each other, they must listen to each other† (p 4). If children are not taught the importance of listening they may find their relationships suffer as it will be harder to form a bond if the other child feels what they are saying is not of value or importance. To support the education of communication within the early childhood years, the Australian Government has developed The Early Years Learning Framework (EYLF). It is an outline for teachers comprising of five learning outcomes. One of the outcomes is ‘Children are Effective Communicators’. The document states that â€Å"communication is crucial to belonging, being and becoming†¦ children communicate with others using gestures, sounds, language and assisted communication† (p 38). The document goes on to say that â€Å"Children feel a sense of belonging when their language, interaction styles and ways of communicating are valued†, which reiterates Kranyick’s (1975) beliefs discussed earlier. The importance of the relationship between teachers and parents must not be underestimated. A positive partnership is essential in order to ensure that a child’s education is supported and encouraged from not only inside the classroom but also at home. As stated by Hughes & MacNaughton (2001) â€Å"Communication between parents and staff is an important part of the daily life in early childhood centres†¦ research has shown that good staff-parent communication contributes significantly to the success of early childhood programs†. An effective way to reach out to a parent or carer is through an information and feedback session, commonly known as a ‘parent – teacher night’. This allows the teacher to discuss a student’s progress and development, as well as voice any concerns they may have. It is also an opportunity for parents and carers to ask questions and learn how to better support their children on their educational journey. In conclusion, good communication within an early childhood education setting is vitally important. It is essential that early childhood educators focus on developing strong and effective communication skills to be able to ensure a high level and successful educational experience for the children in their care. It is important that these skills are passed on to young children as when they develop good communication skills it can only help to build their foundation for learning and forming relationships as they go through the journey of life, including their future years of study and work, as well as their relationships with friends and family. In the words of Geng (2011) â€Å"communication is therefore a fundamental component in promoting positive behaviour†. REFERENCES Johnson, M. (1999). Communication in the classroom. Place, stateUS Department of Education. Geng, G. (2011). Investigation of teachers’ verbal and nonverbal strategies for managing attention deficit hyperactivity disorder (ADHD) students’ behaviour within a classroom environment. Australian Journal of Teacher Education, Volume 36 (Issue 7), 17-30. Kranyik, M. (1975). Teaching to listen and listening to teach. Paper presented at the Annual Meeting of the National Conference on the Language Arts in Elementary School., Boston, MA. publisher. Arnold, M. (1979). Early child-child communication. Theory into Practice, Volume 18 (Issue 4), 213-219. Knott, G. (2011). Nonverbal communication during early childhood. Theory into Practice, Volume 18 (Issue 4), 226-233. Australian Government Department of Education, Employment and Workplace Relations for the Council of Australian Governments. (2009). Belonging, being and becoming: The early years learning framework for Australia. Canberra, Australia. Author. McNaughton, D., Hamlin, D, McCarty, J, Head-Reeves, D, Schreiner, M. . (2007). Learning to listen: teaching an active listening strategy to preservice educational professionals. Topics in Early Childhood Special Education. , Volume 27 (Issue 4), 223-231.

Deriving Keplers Laws of Planetary Motion

Deriving Kepler’s Laws Tanner Morrison November 16, 2012 Abstract Johannes Kepler, a world renowned mathematician and astronomer, formulated three of today’s most in? uential laws of physics. These laws describe planetary motion around the sun. Deriving these laws (excluding Kepler’s First Law) will stress the concept of planetary motion, as well as provide a clear understanding of how these laws became relevant. 1 Kepler’s First Law Kepler’s First Law states: The orbit of every planet is an ellipse with the Sun at one of the two foci. 2 Kepler’s Second LawKepler’s Second Law states: A line joining a planet and the Sun sweeps out equal areas during equal time intervals. In more simpler terms, the rate at which the area is swept by the planet is constant ( dA = constant). dt 2. 1 Derivation Of Kepler’s Second Law To start this derivation, we will need to know how to ? nd the area that is swept out by the planet. This area is equa l to ? r A= rdrd? = 0 r2 ? 2 (1) 0 The position can be de? ned by the planetary motion. r = r cos + r sin i j (2) The velocity can then be found by taking the derivative of the position. r = (? r sin ? d? dr d? dr + cos ? )? + (r cos ? i sin ? )? j dt d? dt d? (3) As noted during the derivation of Kepler’s First Law, h is a constant, due to the fact that r ? r is a constant. h = r ? r = constant To ? nd the constant vector h evaluate the determinate that is given by the cross product of r ? r . ? ? ? ? ? i j k h=? r cos ? r sin ? 0? dr d? dr d? ?r sin ? dt + d? cos ? r cos ? dt + d? sin ? 0 Once the determinate is evaluated it can be simpli? ed to h = r2 1 d? ? k dt (4) The magnitude of this vector being (the same). |h| = r2 d? dt (5) by the de? nition of h this value is a constant. Recall that the area swept out by the planet can be described as. r A= rdrd? = 0 r2 ? 2 0 The area swept through a little change in time (dt) is then equal to r2 d? dA = dt 2 dt Notice dA dt (6) looks alot like h = r2 d? dt h dA = dt 2 Showing that a constant. 3 dA dt is constant. Showing that the area swept out by the planet is Kepler’s Third Law Kepler’s Third Law states: The square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. This derivation will show that 4 ? 2 a 2 b2 T2 = h2 3. 1 Deriving Kepler’s Third Law From the derivation of Kepler’s Second Law we know that h dA = dt 2 By using integration we can ? d the area swept out during a certain time interval (T), the period. The fundamental theorem of calculus states that the integral of the derivative is equal to the integrand, T T dA = 0 h 2 dt 0 2 by simplifying we get the area of the planetary motion h T 2 A= (7) recall that A = ? ab, inputting this into our area equation we get ? ab = h T 2 Solving for the period (T), we get 2? ab h T= By squaring this period we get, 4 ? 2 a 2 b2 h2 T2 = (8) 2 Recall the directrix of an ellipse is (d = h ) and the eccentricity of an ellipse is c c (e = GM ). Multiplying these together and simplifying we get ed = 2 e h2 = eGM GM (9) Also recall that the square of half of the major axis of an ellipse is a2 = and the square of half of the minor axis is b2 = v Consider v a2 = e2 d2 (1 ? e2 ) 2 e2 d 2 (1? e2 ) . =a= e2 d2 (1? e2 )2 Solving for a ed 1 ? e2 2 b a b2 e2 d2 (1 ? e2 ) = = ed a (1 ? e2 ) ed (10) Equating equations (9) and (10) yields h2 b2 = GM a Simplifying this we get h2 = recalling T 2 = 4? 2 a2 b2 , h2 b2 GM a (11) inserting the new found h we get T2 = 4? 2 a2 b2 a 4? 2 a3 = h2 GM GM (12) Showing that the square of the period (T 2 ) is proportional to the cube of the semi-major axis (a3 ). 3