Find out What Mathematical Economics Is

Find out What Mathematical Economics Is Much of the study of economics requires an understanding of mathematical and statistical methods, so what exactly is mathematical economics? Mathematical economics is best defined as a sub-field of economics that examines the mathematical aspects of economics and economic theories. Or put into other words, mathematics such as calculus, matrix algebra, and differential equations are applied to illustrate economic theories and analyze economic hypotheses. Proponents of mathematical economics claim that the primary advantage of this particular approach is that it permits the formation of theoretical economic relationships through generalizations with simplicity. Mind you, the simplicity of this approach to the study of economics is certainly subjective. These proponents are likely to be skilled in complex mathematics. An understanding of mathematical economics is particularly important for students considering the pursuit of a graduate degree in economics as advanced economics studies make great use of formal mathematical reasoning and models. Mathematical Economics vs. Econometrics As most economics student will attest to, modern economic research certainly doesnt shy away from mathematical modeling, but its application of the math differs within the various subfields. Fields like econometrics seek  to analyze real-world economic scenarios and activity through statistical methods. Mathematical economics, on the other hand, could be considered econometrics theoretical  counterpart. Mathematical economics allows economists to formulate testable hypotheses on a wide array of complicated subjects and topics. It also permits economists to explain observable phenomena in quantifiable terms and provide the basis for further interpretation or the provision of possible solutions.  But these mathematical methods that economists use are not limited to mathematical economics. In fact, many are often utilized in the studies of other sciences as well. The Math in Mathematical Economics These mathematical methods generally reach far beyond typical high school algebra and geometry and are not limited to one mathematical discipline. The importance of these advanced mathematical methods is captured perfectly in the mathematics section of books to study before going to graduate school in economics: Having a good understanding of mathematics is crucial to success in economics. Most undergraduate students, particularly those coming from North America, are often shocked by how mathematical graduate programs in economics are. The math goes beyond basic algebra and calculus, as it tends to be more proofs, such as Let (x_n) be a Cauchy sequence. Show that if (X_n) has a convergent subsequence then the sequence is itself convergent. Economics uses tools from essentially every branch of mathematics. For instance, a  great deal of pure mathematics, such as real analysis, appears in microeconomic theory. Numerical method  approaches from applied mathematics are also used a great deal in most subfields of economics. Partial differential equations, which are normally associated with physics, show up in all kinds of economics applications, most notably finance and asset pricing. For better or for worse, economics has become an incredibly technical topic of study.

Rubber Egg and Chicken Bones - Mad Scientist Lab

Rubber Egg and Chicken Bones - Mad Scientist Lab A Mad Scientist can make a toy out of just about anything, including a boiled egg. Soak an egg in a common kitchen ingredient, vinegar, to dissolve its shell and make the egg rubbery enough that you can bounce it on the floor like a ball. Soaking chicken bones in vinegar will soften them so that they will become rubbery and flexible. Rubber Egg Materials hard-boiled eggglass or jar, big enough to hold the eggvinegar Turn the Egg into a Bouncy Ball Place the egg in the glass or jar.Add enough vinegar to completely cover the egg.Watch the egg. What do you see? Little bubbles may come off the egg as the acetic acid in the vinegar attacks the calcium carbonate of the eggshell. Over time the color of the eggs may change as well.After 3 days, remove the egg and gently rinse the shell off of the egg with tap water.How does the boiled egg feel? Try bouncing the egg on a hard surface. How high can you bounce your egg?You can soak raw eggs in vinegar for 3-4 days, with a slightly different result. The eggs shell will become soft and flexible. You can gently squeeze these eggs, but its not a great plan to try to bounce them on the floor. Make Rubbery Chicken Bones If you soak chicken bones in vinegar (the thinner bones work best), the vinegar will react with the calcium in the bones and weaken them so that they will become soft and rubbery, as if they had come from a rubber chicken. It is the calcium in your bones that makes them hard and strong. As you age, you may deplete the calcium faster than you replace it. If too much calcium is lost from your bones, they may become brittle and susceptible to breaking. Exercising and eating a diet that includes calcium-rich foods can help prevent this from happening.

Summarizing in Accounting Essay Example | Topics and Well Written Essays - 500 words

Summarizing in Accounting - Essay Example The decision making cycle in industrial age was long and time consuming it followed seven steps of hierarchy, starting with user of accounting information, pervasive constraints, user specific qualities, primary decision specific qualities, ingredient of primary quality, secondary and interactive quality and threshold for recognition. Whereas, the information accounting has three steps pervasive constraints, objective and threshold for recognition. Revolution has caused many aspect of the society to change; the change in economy impacts the demand for information. FABS and IASB have combined their basic principle knowledge to redefine the current conceptual framework. The method used to determine fair value is far different calculating the values used in cost allocation. It is believed by successful industrialist that it is important to make changes in the skill sets of organizations in order to have estimates associated with valuation. The focus of the paper is to highlight the causes of changes in the financial accounting principles; the paper has made the theory of Kuhn as their basis because according to his theory it is believed that a revolutionary change results in reconstruction of basic fundamentals. The old paradigm has been in practice over a longer period of time that is why the industry is facing difficulties in shifting to new paradigm; the accounting behavior has added human behavior that interact with accounting paradigm. It is difficult to make such changes but at the same time they have to be made to cope up with the changing environment. The research paper is written by Mark Kohl-beck and Terry Warfield. In the paper they have discussed about the improvement in the US accounting quality, in order to study the same they have undertaken 19 general-purpose accounting principles which have been most popularly used in the last 30 year. The analysis

Summary Essay Example | Topics and Well Written Essays - 500 words - 97

Summary - Essay Example The Home, which was located in the heart of Victoria, was regarded as the safe haven for Chinese prostitutes and other Chinese females who were thought to be at risk of falling into prostitution but later open door for Japanese women and children. This was intended to protect Asian women from being transformed by the by the missionaries. The white women largely influenced the behaviors and attitude of the Asian women especially in areas of marriage and domesticity. There were several issues that triggered the transformation and the white domesticity especially through the enactment of racial and gendered performances. The article also explains a high profile kidnapping that involved a cross racial encounters as well as policing and gendered boundaries in an unsanctioned cross-racial contact. It is apparent that discourses of domesticity and Christian related marriage largely contributed to the kidnapping. The police and other responsible institution did not do proper investigation concerning the issue of kidnapping and this became a major scandal that affected the Home. The Home enabled careful management and intimate cross-cultural contact that triggered racial constructions of the period in British Columbia. Menzie who was a suspect in the kidnapping saga contaminated the white community. The state of marriage and the intermixing Chinese and European populations were greatly affected by the incidences between the two groups. It is therefore worth noting that the Victoria’s Chinese Rescue Home acted as a domestic space and the women’s moral authority was used to allow the various practices that took place. Marriage, for instance, was considered significant and acted as part of women’s domain as far as Christianity is concerned. People who ran the Home greatly contributed to various racial discourses and the article shows how moral entrepreneurs operated in difficult ways. The entrepreneurs

Oral Language and Reading Comprehension Essay Example for Free

Oral Language and Reading Comprehension Essay This paper is intentionally made to show the comparison between oral language and reading comprehension. Oral language and reading comprehension are both essential to every individual. All of us had undergone oral language when we are still young and as it develops and as we grow and mature, it enables us to be more knowledgeable and prepares us to a more needed comprehension in reading. This two are significant and are interrelated to each other. As a parent, talking to the child helps expands vocabulary, develop background knowledge, and inspire a curiosity about the world. The more a child engages into certain experiences and more learning that starts from parents and then to teachers, it will widen their minds and permits them into a more broad understanding of different things. Oral language is the very learning that each of us has gone through and we still have it up to now. This paper will broaden your knowledge with regards to the comparison between oral language and reading comprehension. Background of the Study: Oral language means communicating with other people. On the other hand, reading comprehension is the act of understanding what you are reading. The definition can be simply stated the act is not simple to teach, learn or practice. Reading comprehension is an intentional, active, interactive process that occurs before, during and after a person reads a particular piece of writing. Oral language and reading comprehension are both essential because in oral language we are trained on how to communicate well with other people. Reading comprehension, on the other hand, is also a way of understanding the book that we read; it could be just a simple magazine, newspaper, or even the books we used in school. A person must be able to understand what he or she is reading. It is necessary that we know how to talk or communicate but one thing that is very useful as well in our everyday lives is the ability to read and understand what we read. There is a complete difference between â€Å"reading† and â€Å"reading with comprehension†. Now, as you go and read this paper, you will be fed with more ideas with the comparison between spoken language and reading comprehension and how these two work together for a more fluent practice of communication. It will develop your communication and reading skills; that it is not enough to know how to speak and read but being able to speak and at the same time realize what you are reading and even apply these in real life situations. Related Study: Oral language A great deal of research has been done in the field of oral language acquisition. As a means of attempting to negotiate their environment children actively construct language (Dyson, 1983; Halliday, 1994; Sulzby,1985). From a childs earliest experience with personal narrative development, oral language acquisition must be continually fostered. (IRA and NAEYC, 1998). This becomes the building block for establishing success in all areas of literacy. Oral language begins to develop at a very young age as children and parents interact with one another in the natural surroundings of the home environment (Teale, 1978; Yaden, 1988). A childs home environment greatly impacts the rate, quality and ability to communicate with others (MacLean, Bryant and Bradley, 1987; Martinez, 1983; National Research Council 1999). Factors related to language growth in the home environment include parent interaction, books, being read to, modeling; home language and literacy routines all closely parallel those of the classroom and school. The development of oral language is an ongoing natural learning process. Children observe oral communication in many contexts – home, preschool, prekindergarten, and begin to develop concepts about its purposes (Dyson, 1983; Halliday,1994;Martinez, 1983). Target skill areas such as sequencing, classification, and letter sounds oral language skills are all components of early childhood educational programs (Kelley and Zamar, 1994). Meaning is a social and cultural phenomenon and all construction of meaning is a social process. Developmental stages of child language development: Phase I – Protolinguistic or â€Å"Protolanguage†, Phase II – Transition, Phase III – Language. The Protolanguage Stage (which is associated with the crawling stage) includes noises and intonation, physical movement, adult/infant interaction – this exchange of attention is the beginning of language. During the Transition Stage (which is associated with the developmental stage of walking) there is a transition from child tongue to mother tongue. During this stage the â€Å"pragmatic† mode develops; a demand for goods and services that seeks a response in the form of an action. In Phase III – Language Stage, the child moves from talking about shared experience to sharing information with a third person. The child realizes that reality is beyond their own experience; they invite confirmation, enjoy shared experience. From the ontogenesis of conversation we are able to gain insight into human learning and human understanding. Meaning is created at the intersection of two contradictions – the experiential one, between the material and the conscious modes of experience, and the interpersonal one, between different personal histories of the interacting taking part (Halliday,1994). Properly developed oral language enables a child to effectively communicate their thoughts and viewpoints with others. It is also important for young children to have developed listening skills as they begin to experience the power of communication. The environment influences ones desire to communicate as well as the frequency of communication. Oral language develops through authentic experiences (Harste, Burke and Woodward, 1994). Kindergarten classroom environments that are alive with social interaction are ideal environments for nourishing speaking and listening skills. As children participate in communicative events, they slowly acquire an understanding of the relevance of these forms. Students need to be provided and encouraged to participate in environmental literacy activities, as those experiences are indispensable to language development (Brown and Briggs, 1987). Development of oral language skills must be addressed in Kindergarten as an integral part of the daily curriculum in order for students to be able to succeed throughout schooling and in todays society (Goodman, 1992; IRI and NAEYC,1998). Kindergarten programs need to be structured but not formal. Classrooms that are carefully structured allow for maximum oral language acquisition through authentic literacy activities that take place in natural ways during a school day (Ellermeyer, 1988). Education is inquiry based, and as such the focus with education becomes learning, and the task of teaching becomes the inquiry process. The learner is central, in the process of the learning-inquiry cycle (Harste, Burke and Woodward,1994). Students need to be provided and encouraged to participate in environmental literacy activities, as these experiences are indispensable to language development. Dyson (1983) conducted a study of the role early language plays in early writing. Through observations of children at a Kindergarten writing center she concluded that oral language is an integral part of the early writing process. Talk provided both meaning and for some children the systematic means for getting that meaning on paper. The child as a language learner progresses along a developmental continuum. Language acquisition is fundamentally a social process in which language is used to make and share meaning of experience (Corter and Park, 1993). Children require opportunities to interact with both peers and adults in a wide variety of settings as they learning and practice language and literacy knowledge, skills, and strategies (Brown and Briggs 1987; Coohn, 1981; Dyson, 1983; Ellermeyer, 1988). Children like to talk about themselves, their friends, their families, their pets, their hobbies, etc. Engaging young children in conversation about things with which they are familiar affords them a comfort level to experiment with ways to express themselves. Opportunities to increase oral language abilities and applications are embedded within the literacy program. Conversation, collaboration, and learning through others are integral to learning. A childs oral language ability is the basis for beginning literacy instruction, and as such initial informal assessments as well as ongoing assessment during the school year would provide key information regarding a childs oral language abilities.

Venus :: essays research papers

Venus is the second planet from the sun and the sixth largest. Venus’ orbit is the most circular of any planet, with an eccentricy of less than 1%. Venus, perhaps because it is the brightest of planets known to the ancients, Is named after the Greek goddess of love and beauty. The planet of Venus has been known since prehistoric times and is the brightest object in the sky with the exception of the sun and the moon. Venus’ rotation is somewhat unusual in that it is both very slow ( 243 Earth days per Venus day) and retrograde. In addition, the periods of Venus’ rotation and of its orbit are synchronized such that it always presents the same face toward Earth when the two planets are at their closest approach. The pressure of the planet’s atmosphere at the surface is 90 atmospheres and is composed mostly of carbon dioxide. There are several layers of clouds which are many kilometers thick and composed of sulfuric acid. This dense atmosphere produces a run-away greenhouse effect that raises Venus’ surface temperature by about 400 degrees to over 740 K. The planet of Venus is often regarded as Earth’s sister planet, in some ways they are very similar. For example, Venus is only slightly smaller than Earth (95% of Earth’s diameter, 80% of Earth’s mass.) Both have few craters indicating relatively young surfaces. Their densities and chemical compositions are also similar. Because of these similarities, it was once thought that below it’s dense clouds, Venus might be very earthlike, perhaps to the point of containing life. However, a more detailed study of Venus revealed that many aspects of Venus’ atmosphere was much different from that of Earth. There are no small craters on Venus. It appears that small meteoroids burn up in Venus’ dense atmosphere before reaching the surface. Craters on Venus seem to come in bunches indicating that the large meteoroids that do reach the surface usually break up in the atmosphere. The oldest terrains on Venus seem to be about 800 million years old. Extensive volcanisms at the time wiped out the earlier surface including any large craters from early Venus’ history. The interior of Venus is probably very similar to that of Earth. It consists of an iron core about 3000 km in radius, a molten rocky mantle comprising the majority of the planet. Venus probably once had large

Language Development multi-disciplinary

Language development is a multi-disciplinary field containing inputs from psychology, academics, behavioral science, neurology and speech development. It’s marked by the culmination of a series of processes, which begin early in human life where an infant goes through imbibing primary language skills from the environment surrounding him, starts remembering words and phrases without the need for understanding their meaning, slowly build connections and visual imagery to understand patterns in language, and finally, as the child grows older, new meanings and new associations are created and his vocabulary increases as more words are learned.Language development as a term, should not be confused with â€Å"language acquisition† of which it is only a subset. The latter also deals with second language learning ability. Linguists and researchers like Noam Chomsky, Elizabeth Bates and Catherine Snow have developed hypotheses, that recognize and measure the specific learning re sults from general cognitive abilities and the interactions between learners, and their surrounding language environments.Language development contains several discussion points. In this paper, we shall look into the following points, based on past research done in relevant area. The main objective of our research is to infer the importance of each and every building block, in facilitating the language learning ability of children. Understanding these concepts have special significance to the case studies of dyslexics (slow learners), auditory and visually challenged kids, children with a stammering problem and kids of immigrant parents for whom English is not a spoken language at home. The articles selected for this purpose have one theme in common: they offer tips and suggestions, and also the roadmap for applications within a children learning environment.Transduction: Having worked in the field of cognitive development among children, Jean Piaget, a famous Swiss development psyc hologist, has described â€Å"transduction† as the first logic of reference in the primary form of reasoning used by children during the preoperational stages of development (2-7 years). The logic here is: if A causes B today, then A always causes B.The basic definition of transduction is â€Å"reasoning† without the reversible nestings of a hierarchy of classes and relations (Mathcs.edu, p.12). Accordingly, the first verbal reasoning is identified as practical and somewhat, based on perception or imagination. It is one step advancement of something known as â€Å"preconcepts†, identified by early language specialists wherein a child merely learns to associate certain â€Å"semi-concepts† which fit into the notion of what the child observes from surroundings (p.10). An example might be, â€Å"Is worm an animal?† It basically means that at the preconceptual level, the child identifies words with â€Å"shapes† and â€Å"patterns† (p.11) , rather than actual denominators of valid reasoning.In contrast, Piaget identified transduction as an advanced stage of cognitive learning, because the child’s thinking pattern carries less of an egocentric point-of-view, and it is more oriented toward finding the meaning to a desired end (p.12). However, even at this stage, the child doesn’t think of representation based on logic at most times, and can distort reality to suit his own â€Å"perception† about the world (p.12). Transduction, has been identified as the â€Å"discovery of lying†, and also the â€Å"dawn of reasoning† (p.12). The essential prerequisites of a study on transduction in language development for children, would consist of   in the preconceptual stage: 1)a symbolic thought, 2)representations derived from motivation, individual perception, daydreaming, and logical reasoning. In the transduction stage, it matures into a vivid construction of the image, and this constitutes t he child’s first grasp with reasoning, and intellect (p.12).Concept   formation:   There is a close relationship between language and concept forming ability   (Xu, p.2). Fei Xu, at the University of British Columbia contends in her research on cross-linguistic behavior patterns, that concept forming abilities reflect certain correlations between aspects of language, and the guiding blocks of reasoning that present a state-of-the-fact reality for the child, slowly whetting his appetite for gaining knowledge on words, based on situations (p.3).The first feature of this concept forming ability starting with infants began, in â€Å"count nouns† and categorization. Quoting from relevant research, Xu points out that children first learn to differentiate between countable and uncountable nouns, as the object is displayed before them. A familiarization tone might be: â€Å"a rabbit†, â€Å"a pig†, and also â€Å"wheat†, â€Å"sugar† (p.5). Th ere is a natural propensity to learn â€Å"novel nouns† (p.6), which are basically words, that are amusing and pleasant to hear. Studies have shown kids can be unusually brilliant in their intuitive ability to grasp new words, to attach their meaning with words they already know. E.g. â€Å"engineer†, â€Å"medicine† and â€Å"President† (p.7).Once the foundation for nouns are clear, Xu offers examples in which children learned differences between adjectives and nouns, which come â€Å"immediately† after learning nouns. E.g. â€Å"good† boy, â€Å"red† apple (p.7). For infants, conceptual ability at an early stage is not a complete process by itself, as they lack understanding of other signposts of intelligence (p.11). In an experiment suggested in the article, small children faced trouble in counting objects of similar shape. To them, articles of different shapes and sizes offers more intrigue and curiosity into counting. Also, many couldn’t tell if a toy train moving in a circular path was indeed â€Å"one† train (p.12). However, the start of concept-forming ability is the dawn of wisdom for infants.Imagery: Imagery refers to any word that creates a â€Å"picture† in the head of children. For older kids (3-4 years and above), imagery using similes, metaphors, personifications (mainly) and other audio-visual tools are a crucial ingredient in learning language (Savich, 1984). Not only do these methods facilitate an increase in handy vocabulary, but they also develop spatial learning abilities in children. Imagery is recommended for older children, because by then their brain cells in the cerebral hemisphere, are divided enough to allow such functions (Savich, 1984).Some of the methods used are: â€Å"the Big, Black barn†, â€Å"Snow White with pink feathers and velvet hands†. For children, the intuitive ability to render strong associations with these image vocabulary, is so po werful that many of them are able to visualize elements that many adults might ignore; e.g. the differences in colors in mosaic tiles; any object (and that includes human beings) readily start getting associated with the child’s cultivated imagination. Also, unlike the early concept-forming stage, this time children have lesser tendency to   face problems in identifying different words and expressions for similar shapes.Patricia Savich, at the University of Los Angeles, in her research on language-disabled children, has contended that they are facing problems in retaining a strong anticipatory imagery ability (Savich, 1984), compared to other children. In an experiment described, she assigned five spatial tasks to two groups of children based on age, sex, native language and background. In all assignments specified, language-disabled children lagged behind their counterparts in identifying words, from the assortment of visual imagery at their disposition (Savich, 1984).Memo ry: Memory has several study areas in the field of language development: recall memory, visual recognition memory (VRM), social communication, and the emergence of language skills. According to Heimann et al (2006), recall memory involves the technique called â€Å"deferred imitation† or DI as the most scientific method of enabling words, to stick in the memory of children. A lot of research in this field, has successfully established the cosmopolitan reach of the method to enable children to learn new words, sentence structures and also intonations of language. DI basically involves showing a picture to the child, make him repeat the word after the instructor, pursue a delay for 10 to 24 minutes, and come back with the picture again, to retain the word in the child’s sphere of imagination, â€Å"permanently†. There is plenty of flexibility, in how and why DI must be conditioned, for specific child-learning initiatives.VRM is applied to children, 3 years and abo ve, and deals with providing close attention for familiar pools of information. VRM is a close indicator of receptive language skills, and along with imagery, helps the child associate connections between different visual stimulus to form an idea of the world where he’s living in. Social communications consist of two aspects: 1)Joint Attention (JA) where the child learns words by studying the gaze patterns of other children in the creche or play group, and 2)Turn-taking skills (TT), which is the beginning of the first steady â€Å"conversation† between the child and the instructor/parent. The parent familiarizes the child with a situation, and it is his responsibility to come back with an answer. Heimann et al (2006), have contended that the onset of a steady conversation, even though in incorrect grammar, is the fist milestone for children’s language development program.Environmental influence: Finally, apart from the four techniques discussed in our framework, the most pivotal influence kids could derive for learning language programs, lies in the influence laid out by the environment in which they live. According to a cognitive behavior study, by Janellen Huttenlocher, a William S Gray Professor in psychology at the University of Chicago, the language environment in which children live, influences considerably their command over individual differences in syntax acquisition (Harms, 2002). There are dramatic differences between 3- and 4- year olds speech and comprehension, depending upon the â€Å"way† teachers and parents spoke to them.The study was based on 305 children across 40 classrooms in 17 preschool areas comprising people of all income-levels. Sentences used for testing were very descriptive, livid and tested all aspects of grammar retention ability: â€Å"the boy is looking for the girl behind a chair, but she is sitting under the table†, and â€Å"the baby is holding the big block and a small ball†. Natura lly, in classrooms that were extremely exposed to complicated sentences, children were more easily capable of using the correct â€Å"syntax† in language tests, compared to under-privileged downtown Chicago neighborhood schools, that are often under-staffed and children come from much less-privileged backgrounds. Even for lower-income background children, those who came to classrooms with qualified language instructors, the curiosity to learn the proper syntax of conversations, was much higher (Harms, 2002).According to Huttenlocher, the foundations of speech due to environment in childhood sticks for life. Children who grow up listening to â€Å"full† sentence syntaxes, are much more likely to use them comfortably when they grow up, compared to many American adults who really enjoy â€Å"skipping† words and have limited vocabulary for use, even though they might know the meaning of several words (Harms, 2002).SourcesHarms, W. (Nov 21, 2002). Researchers discove r environment influences children’s ability toform, comprehend complex sentences. The University of Chicago Chronicle. Vol.22,No.5Heimann, M., Strid, K., Smith, L., Tjus, T., Ulvund, S.E., Meltzoff, A.N. (Aug 1, 2006).Exploring the relation between memory, gestural communication and the emergence oflanguage in Infancy: a longitudinal study. Public Medical Central. 15(3): 233-249.Mathcs.edu. (Date unknown). Cognitive precursors to language. Accessed :www.mathcs.duq.edu/~packer/Courses/Psy598/Precursors,%20Cognitive.pdf [Dec 16, 2006]Savich, P.A. (December 1984). Anticipatory imagery ability in Normal and Language-disabledchildren. Journal of Speech and Hearing Research. Vol. 27: 494-501.Xu, F. (in press). Concept formation and language development: count nouns and object kinds.University of British Columbia, Oxford handbook of psycholinguists. Oxford UniversityPress (OUP). 2-12.