Professional Learning Report Mathematics free essay sample

EDP136 Mathematics Education Assessment 1: Professional Learning Report Week 4 Submission - Topics 1 and 2 Section 1: Identify, describe and apply effective teaching strategies for teaching mathematics. Section 2: Like so many things in life, the methods of teaching have also evolved. Traditionally, teachers instructed students in the course material rather than encourage students to be constructive and think for themselves. The readings in the allocated text suggest a teaching and learning strategy or method known as, ‘constructivism. This method has proven to be most successful to impart knowledge to children in the learning environment (Fetherston, 2006, pp. 151-174). - The constructivist teacher acts as a mediator or a coach who assists students to develop and assess their own understanding and learning. Constructivism has been shown to have various benefits, including ownership of learning, the ability to transfer learned constructivist principles to other situations, and the promotion of social and communication skills (Wilson, 2004). After analysing the selected readings, one may strongly agree that mathematics is like learning another language. We will write a custom essay sample on Professional Learning Report Mathematics or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page There is such a broad vocabulary of specific terms, number formulas, times-tables and volume and area equations. With effective and accessible assistance, students will be able to learn the challenging and puzzling subject in a more enjoyable and timely manner. Students learn and become familiarized with the mathematical language through discussion, which will assist them develop a deeper understanding, analysis and express ideas and adapt to new ways of thinking (Booker et al, 2010). It is critical for students to understand the importance of the mathematical language as this will support teachers in assisting students come to terms with new mathematical concepts. Section 3: The effective primary teacher must continually seek to improve their knowledge and understanding of the subjects they teach, embrace new methods of teaching and knowledge of their student’s capabilities in order to become exceptional. Effective teachers strive to create the best possible conditions for learning and continually endeavour to make learning as easy as possible for students (Ayers, Sawyer Dinham as cited in Killen 2005). A constructivist teacher will produce a classroom environment that will provide meaningful learning experiences, allowing students to hypothesize, manipulate, pose questions, do research, investigate, imagine and create. Students will use these experiences, information and perceptions to construct knowledge and meaning (Fetherston, 2006, pp. 151-174). - Children learn best through play and teachers can assist student relate to real life situations by implementing fun and motivating learning activities. Some of these constructivist methods can be as simple as grouping students together to scaffold their learning. The constructivist teacher demonstrates, instead of simply giving the answer. The process of finding a solution is taught to students, increasing learning and understanding (Booker, 2010) Maths has a specific vocabulary. â€Å"Language is crucial to the learning of mathematics because it is through discussion that learners come to terms with mathematical ideas, develop ways of expressing concepts and processes, and take on the ways of thinking as their own. (Booker, 2010) When mathematical ideas are communicated, specific care is taken in formulating language to keep track of what is happening with materials or representations which will eventually allow formal symbolic recording, mental operations or approximations to be conducted confidently (Booker 2010). Language is important. In the classroom environment, one should promote the use of mathematical language by encourag ing class discussions and providing students with sufficient opportunities to practice their newly learned mathematical terms which promotes confidence in using them. References Booker, G. , Bond, D. , Sparrow, L. , ; Swan, P. (2010). Teaching primary mathematics (4th edition). Frenchs Forest, NSW: Pearson Australia. Fetherston, T. (2006). Becoming an effective teacher. Sydney: Thompson. Killen, R. (2005) Programming and assessment for quality teaching and learning. Retrieved from: http://edocs. library. curtin. edu. au/eres_display. cgi? url=dc60263620. pdf;copyright=1 Wilson, B. G. (2004) Designing e-Learning environments for flexible learning activity and instruction. Educational Technology Research and Development

Free Essays on Attribute Of God

Truth an Attribute of God The definition of truth according to Webster’s is conformity to fact or actuality, reality, actuality. Ryrie defines truth as â€Å"agreement to that which is represented it includes veracity, faithfulness, and consistency.† To say that God is true is to say that he is consistent with himself. He is all that he should be; he has revealed himself as he really is. His revelations are completely reliable. For man to understand that truth is knowable to him and life does make sense, he should first understand that all truth is known to God regardless of if it is found in the Bible or other sources. Therefore, it should be called God’s truth because Colossians 2:3b says, â€Å"are hid all treasures of wisdom and knowledge.† People think that God has hid his truth from them, making it inaccessible to man so they cannot understand God’s truth. Men do not practice good exegesis when the word ‘hid’ is taken out of context and means, to some people, that God is hiding his truth from them. I think that Paul is trying to say that the truth about Christ is the focal center to which all other truth about everything in creation is connected. That is to say, God is truth. We are totally dependent upon God to know truth because God is the creator of all things. He is our source for knowledge. God revealed both grace and truth to us by incarnating himself. Truth is unchanging and universal; it is not relative but is absolute. (Holmes 8) The Old Testament term for truth is emeth. This is primarily ethical rather epistemological term. Truth depends on unchanging reality, is personal, cannot change, and remains the same for every time and place in creation. It is absolute. To say these things is to say that God’s knowledge is complete and perfectly true. Truth is the implication that God exist. So one cannot believe in truth and believe that God is non-existence. We need a renewed commitment to the truth as found in t... Free Essays on Attribute Of God Free Essays on Attribute Of God Truth an Attribute of God The definition of truth according to Webster’s is conformity to fact or actuality, reality, actuality. Ryrie defines truth as â€Å"agreement to that which is represented it includes veracity, faithfulness, and consistency.† To say that God is true is to say that he is consistent with himself. He is all that he should be; he has revealed himself as he really is. His revelations are completely reliable. For man to understand that truth is knowable to him and life does make sense, he should first understand that all truth is known to God regardless of if it is found in the Bible or other sources. Therefore, it should be called God’s truth because Colossians 2:3b says, â€Å"are hid all treasures of wisdom and knowledge.† People think that God has hid his truth from them, making it inaccessible to man so they cannot understand God’s truth. Men do not practice good exegesis when the word ‘hid’ is taken out of context and means, to some people, that God is hiding his truth from them. I think that Paul is trying to say that the truth about Christ is the focal center to which all other truth about everything in creation is connected. That is to say, God is truth. We are totally dependent upon God to know truth because God is the creator of all things. He is our source for knowledge. God revealed both grace and truth to us by incarnating himself. Truth is unchanging and universal; it is not relative but is absolute. (Holmes 8) The Old Testament term for truth is emeth. This is primarily ethical rather epistemological term. Truth depends on unchanging reality, is personal, cannot change, and remains the same for every time and place in creation. It is absolute. To say these things is to say that God’s knowledge is complete and perfectly true. Truth is the implication that God exist. So one cannot believe in truth and believe that God is non-existence. We need a renewed commitment to the truth as found in t...

Three Basic Principles of Utilitarianism

Three Basic Principles of Utilitarianism Utilitarianism is one of the most important and influential moral theories of modern times. In many respects, it is the outlook of Scottish philosopher  David Hume (1711-1776) and his writings from the mid-18th century. But it received both its name and its clearest statement in the writings of English philosophers Jeremy Bentham (1748-1832) and John Stuart Mill (1806-1873). Even today Mills essay Utilitarianism, which was published in 1861, remains one of the most widely taught expositions of the doctrine. There are three principles that serve as the basic axioms of utilitarianism. 1. Pleasure or Happiness Is the Only Thing That Truly Has Intrinsic Value. Utilitarianism gets its name from the term utility, which in this context does not mean useful but, rather, means pleasure or happiness.  To say that something has intrinsic value means that it is simply good in itself.  A world in which this thing exists, or is possessed, or is experienced, is better than a world without it (all other things being equal). Intrinsic value contrasts with instrumental value.  Something has instrumental value when it is a means to some end.  For example, a screwdriver has instrumental value to the carpenter; it is not valued for its own sake but for what can be done with it. Now Mill admits that we seem to value some things other than pleasure and happiness for their own sake- we value health, beauty, and knowledge in this way. But he argues that we  never  value anything unless we associate it in some way with pleasure or happiness. Thus, we value beauty because it is pleasurable to behold. We value knowledge because,  usually, it is useful to us in coping with the world, and hence is linked to happiness. We value love and friendship because they are sources of pleasure and happiness. Pleasure and happiness, though, are unique in being valued purely for their own sake. No other reason for valuing them needs to be given. It is better to be happy than sad. This cant really be proved. But everyone thinks this. Mill thinks of happiness as consisting of many and varied pleasures. Thats why he runs the two concepts together. Most utilitarians, though, talk mainly of happiness, and that is what we will do from this point on. 2. Actions Are Right Insofar as They Promote Happiness, Wrong Insofar as They Produce Unhappiness. This principle is controversial. It makes utilitarianism a form of consequentialism since it says that the morality of an action is decided by its consequences. The more happiness is produced among those affected by the action, the better the action is. So, all things being equal, giving presents to a whole gang of children is better than giving a present to just one. Similarly, saving two lives is better than saving one life. That can seem quite sensible. But the principle is controversial because many people would say that what decides the morality of an action is the  motive  behind it. They would say, for instance, that if you give $1,000 to charity because you want to look good to voters in an election, your action is not so deserving of praise as if you gave $50 to charity motivated by compassion, or a sense of duty. 3. Everyones Happiness Counts Equally. This may strike you as a rather obvious moral principle. But when it was put forward by Bentham (in the form, everyone to count for one; no-one for more than one) it was quite radical. Two hundred years ago, it was a commonly held view that some lives, and the happiness they contained, were simply more important and valuable than others.  For example, the lives of masters were more important than slaves; the well-being of a king was more important than that of a peasant. So in Benthams time, this principle of equality was decidedly progressive.  It lay behind calls on the government to pass policies that would benefit all equally, not just the ruling elite. It is also the reason why utilitarianism is very far removed from any kind of egoism. The doctrine does not say that you should strive to maximize your own happiness. Rather, your happiness is just that of one person and carries no special weight. Utilitarians like the Australian philosopher Peter Singer take this idea of treating everyone equally very seriously. Singer argues that we have the same obligation to help needy strangers in far-off places as we have to help those closest to us. Critics think that this makes utilitarianism unrealistic and too demanding. But in Utilitarianism,  Mill attempts to answer this criticism by arguing that the general happiness is best served by each person focusing primarily on themselves and those around them. Benthams commitment to equality was radical in another way, too. Most moral philosophers before him had held that human beings have no particular obligations to animals since animals cant reason or talk, and they lack free will. But in Benthams view, this is irrelevant. What matters is whether an animal is capable of feeling pleasure or pain. He doesnt say that we should treat animals as if they were human. But he does think that the world is a better place if there is more pleasure and less suffering among the animals as well as among us. So we should at least avoid causing animals unnecessary suffering.

Chemistry Essay Example | Topics and Well Written Essays - 1000 words - 3

Chemistry - Essay Example The anions and cations can be varied to get the required end product. Ionic liquids have large anions and cations of low symmetry to reduce the lattice energy and reduce the melting point of the salts. Anions contribute towards the functions and chemistry of ILs and cations contribute towards the variable physical properties and stability of ILs (BÃ" §hme 2006). Ionic salts can be simple salts i.e. made up of one type of anion and cation or binary ionic liquids which are a mixture of two salts with varying melting points depending on their composition. Ionic liquids are used to substitute traditional solvents like volatile organic compounds (VOC’s) for their variable properties, low energy inputs and reusability. They are also used to extract various compounds such as metal ions, biomolecules and organosulfurs by using two phase extraction. The most commonly studied systems contain ammonium, phosphonium, sulfonium, pyridinium, imidazolium and pyrrolidinium cations. Common anions include hexafluorophosphate [PF]6-, tetrafluoroborate [BF]4-, bis(trifyl)imide [NTf]2 and chloride, Cl-. Ionic liquids help in minimizing and eliminating waste, improves chemical syntheses and extractions or separations (Holbrey, Turner & Rogers 2003). The reaction solvents are reusable and do not diminish in content which is a major advantage over traditional solvents that are sometimes volatile like the VOC’s. However, the most important feature of these ionic liquids that has led to the great amount of interest in them is the ease with which these can be manipulated to suit the needs of a particular reaction. Most of the properties that are attributed to reaction solvents can be redesigned to reduce or eliminate the losses in solvents and the reaction path can be modified to optimize reactions. This can be useful in recovering and reusing

Critical analysis of issues which influence the quality of teaching, Essay

Critical analysis of issues which influence the quality of teaching, learning and assessment in practice - Essay Example 20). An important aspect of this quality assurance is client satisfaction. Although client satisfaction has been studied widely in hospitals, physician offices, clinics, and other areas of the medical field, little is published regarding client satisfaction in the home care setting. Now it is essential that home care formulate comprehensive, practical, and systematic approaches to evaluate client satisfaction. One approach is the development of reliable and valid client satisfaction survey instruments. These surveys can help home care administrators to evaluate the appropriateness and quality of home care services by identifying client concerns and integrating them into quality assurance activities (Downie, 1998). Surveying patients with headache for their level of satisfaction will provide scientific data for evaluating and modifying health services while providing home care patients with headache with an opportunity to become directly involved in evaluating home care service providers. This article describes nursing research as it explores the domain of client satisfaction with home health nursing in a non-profit home health agency. One purpose of the research was to measure the level of client satisfaction in a sample of home care patients with headache using the Client Satisfaction Survey (CSS) developed by Jarvis, P. and Gibson.S (1997). An additional purpose was to describe the dimensions of the domain of client satisfaction to better define client satisfaction of the home care client. Quality nursing practices need to be based on current knowledge (Francis et al, 2001) and traditional theoretical, text based learning is inadequate to prepare a nursing graduate for the real world (Goode and Krigman, 2001). According to McAllister (1999), â€Å"teachers aim to teach students how to think while students are more motivated to acquire workplace skills.† Nursing graduates can be

The Magic of Books Essay -- How Education Has Changed My Life

The books that lined the shelves were of many different colors, of many varying ages, and of many various authors. The bindings were leather and paper and even a cotton fabric material, and the lettering embossed upon them was in gold and silver and sometimes in plain ink. Authors that had been passed on reverently from age to age sat mightily in their rightful places, next to their respective equals: such writers as Defoe and Hawthorne sat side by side, while others, like Whitman and Thoreau surrounded them. Each book had been lovingly placed in its specific niche, and as the little girl gazed about the room, it was obvious to her that many hours had been spent placing and caring for this massive collection. Â   There was a distinct smell about the room--not the moldy mothball scent that a lot of people can smell when they walk into a well-aged library, but a smell that reminded the young girl of school and very faintly of knowledge. Strength seemed to give off a permanent kind of glow in this room, as though the books knew that neither time nor age would ever be able to reach them. The smell of age and wisdom and education overwhelmed the little girl and she stood staring up at the many rows of books in awe. Â   When the old woman came into the room, she found the small girl standing in the center of the room and spinning slowly around as she tried to take in every one of the books with her ... ...ry, it seemed as though the myriad of books that lined the shelves were waiting and expectant, listening, almost, for her first words to the little girl. So much education, so much life remained ahead of the little girl, and she could garner so much experience through reading. The library was replete with more knowledge than anyone could ever gain in one lifetime, and the old woman smiled secretly to herself as she read the title aloud to the little girl. Â   The future of the book, she thought to herself as she began reading the first chapter to the little girl, is our children. Â   The little girl smiled and leaned against her grandmother as the landscape of India unfolded in her mind.

Use of space, levels and proxemics for blood brothers

For example. When Mrs. Lyons (Vivienne Carlyle) didn't want Mrs. Johnston (Marti Webb) near the baby. Carlyle was positioned stage right in relation with Mari Webb who was staged left. Carlyle moved back away from Webb to show that she didn't want her near the child and in doing that, she clutched the child close to her. Carlyle effectively used the idea that she didn't want Webb. Webb Carlyle Audience Another example is when Mickey (Sean Jones) and Eddie (Simon Wilmot) become friends and Mrs. J ( Webb) finds out! Mickey is send inside and I noticed that Webb used very close proxemics when talking to Simon. This showed the Love of a mother to her son that she had given away and hadn't seen for a long time although Simon is not aware at this point! I also felt the use of levels was used effectively by the Narrator (Keith Burns) as he linked the actors with the characters. For Example, when he was at the top of the background, looking down at the actors, it seemed as if he was in control. Especially because he was the one who tells what happens in the story. And I though use of spacing was also good as they used the background which blocked the depth of behind the sheets and the actual size of the stage. For Example. When the Scene was taking place at Mrs. Lyons house, they brought background forward which made the stage look very smaller. Another example is when they Split the stage in to two scenes. It was cross cut from one area to the other. As shown in the diagram.