Investigating the Acceleration of Connected Particles Essay

Aim The aim of this experiment is to investigate the motion of a trolley on a plane and compare the results with a mathematical model. Model’s Assumptions * No Friction – When creating the mathematical model I am going to assume that there is no friction acting upon the trolley. This is due to the fact that the trolley will be running upon a smooth plane, which offers no resistance. The trolley is also constructed upon wheels, which minimises the affects of friction between wheel and surface if any. Furthermore the track used for the trolley is specifically designed for the trolley, therefore reducing friction even more. * Smooth Pulley – The pulley over which the weights pulling the trolley will be passing through, will be smooth. This is for the reasons that the most costly and smoothest pulley available to me will be used. Therefore this should not also provide any resistance, which may impede the flow of motion. * Inextensible String – The string, which will be attached to the trolley to accelerate it, will be inextensible, i.e. the string used will not be elastic. * Flat Surface – The plane over which the trolley is going to be run must be flat, i.e. it must not be slanted up or down or to a side, or else gravity will also be playing a major part in the acceleration or deceleration of the trolley. To ensure the track is flat I placed a ping-pong ball on the track. If the ball rolled up, down or to a side then I would know that the track is not flat and would adjust it in accordance with the motion of the ping-pong ball. * String not at an angle – The string running off the trolley should be parallel to the track. This is due to the fact that a non-parallel string would be pulling the trolley down as well as forwards. Pulling Forwards = ? Cos ? Pulling Down = ? Cos ? * No Swaying – In the mathematical model I am going to assume that the falling mass does not sway. This uses the same concept as the rope not being parallel to the trolley. If the mass sways, the falling mass is not using its full potential. Pulling Down = m Pulling Sideways = m Cos ? * Negligible Air-Resistance – This is due to the unique construction of the trolley; low frame, compact design and no extended parts or objects disrupting the aero-dynamics. Conduct To mimic the real life situation of the motion of a trolley on a plane I am going to use a trolley of mass ranging from 498g to 1498g, which will be run upon a set of smooth tracks. To accelerate the trolley a light inextensible string will be attached to the trolley, which will then be run over a smooth pulley. At this end of the string masses ranging from 20g – 80g will be attached which will accelerate the trolley. The mass of the trolley will also be changed. The length of the track will always be kept at 1 metre and the time taken for the trolley to travel the metre will be recorded. While conducting the experiment I realised that clamp holding the pulley covered 1cm of the track. Therefore when carrying out the experiment I released the trolley from 1.1m along the track, giving the trolley it’s 1m course to run. Accuracy To ensure accurate and reliable results a set of fixed rules must be followed. The length of the track will always be kept to 1 metre. Also three separate readings will be recorded when measuring the time taken for the trolley to travel the fixed metre. Furthermore I am going to ensure that the track is flat, i.e. it is not slanted up, down or to a side, else gravity will also be acting upon the car. Mathematical Model To create the mathematical model I am going to use Newton’s second law, which states, ‘The change in motion is proportional to the force’. For objects with constant mass, as is the case with this experiment, this can be interpreted, as the force is proportional to the acceleration. Resultant force = mass * acceleration This is written: F = ma The resultant force and the acceleration are always in the same direction. If I use the equation of Newton’s second law F = ma and transpose it into the form y = mx + c where the gradient of the graph is gravity. F = ma mg – T = ma T = Ma (Substitute into mg – T = ma) mg – Ma = ma mg = ma + Ma mg = a (m+M) a = g (m/m+M) a = g (m/m+M) + 0 y = m x + c This graph should pass through the points (0,0). To work out acceleration for the mathematical model using the above formula. Mass of trolley (M) = 498g Mass of weight (m) = 20g Distance = 1m a = g (m/m+M) + 0 a = 9.81 (20/20+498) a = 0.38 ms-2 All the accelerations have been worked using the above technique and have been presented in the table of results below. Mass of Trolley (g) Mass of weight (g) Distance (m) Acceleration (ms-2)

Assessment in mathematics teaching in regards to the National Curriculum

â€Å" The subject of detecting what goes on in a schoolroom and reflecting on whether it is every bit good as it can be, improves the quality of a instructor ‘s ain instruction and their ability to portion it with others. † ( Mason, in Lee, 2006, p10 ) There are many methods of reflecting upon one ‘s ain work, but carried out critically and positively, all should take to an ability to better the quality of that work. The cardinal word here is â€Å" should † . Improvement will merely take topographic point if, following the contemplation, some stairss are identified and implemented to convey about betterment. It is the intent of this paper to help that contemplation and contemplation procedure. The rubric of the essay requires rating of my instruction. The word â€Å" evaluate † is taken to intend â€Å" to judge or find the significance, worth, or quality of † , as defined by Dictionary.com. The paper will measure, in a chronological order, the instruction I carried out over a two hebdomad period. In peculiar it will analyze the appraisal techniques that I employed at each phase, and will reexamine the effectivity of the appraisal. Where appropriate the paper will propose where things could hold been done better. As the rubric dictates, this paper is a contemplation upon learning that I carried out during my first arrangement, as portion of my PGCE class. As such, it refers in the most portion to personal experience and contemplations upon that experience. The paper will hence be written chiefly in the first individual, with mentions from other parties in the 3rd individual. Having considered the appraisal employed throughout the instruction, I will so see a figure of general findings, and how assessment may impact those findings.What Is Assessment and Why Is It ImportantAssessment is a portion of all of our lives from the minute we are born, as the accoucheuse places a babe on the graduated tables. It follows us through early childhood ( as female parents and wellness visitants assess what a babe can make at each phase in their development ) , into school and beyond into employment. The facet of appraisal with which this paper is concerned is the appraisal carried out within the mathematics schoolroom. The word â€Å" appraisal † is used to denote any witting activity intended to supply information about a student ‘s accomplishment or attainment. There are four chief types of appraisal, ( as defined by Weeden, Winter and Broadfoot, 2002, p19 ) Diagnostic – to place students ‘ current public presentation Formative – to help acquisition ( including equal and self appraisal ) Summational – for reappraisal, transportation and enfranchisement Appraising – to see how well instructors or establishments are executing. Of these, formative and summational appraisal will have the most focus, with consideration being given to the effects these types of appraisal have on students ‘ acquisition. Appraising appraisal is non considered within the range of this essay. Whether appraisal is good to a student ‘s acquisition or non depends on the usage to which the information gained is put. For illustration, wellness visitants may place a nutritionary demand of a immature kid which can be corrected with the appropriate input, and likewise instructors may place an educational demand of a student which they can take stairss to turn to. William ( in Weeden, Winter, Broadfoot, 2002, p29 ) suggests â€Å" all four maps of appraisal require that grounds of public presentation or attainment is elicited, is so interpreted, and as a consequence of that reading, some action is taken † . Weeden, Winter, Broadfoot ( 2002 ) besides conclude that appraisal becomes formative when the information gained is used by the instructor and student within the learning procedure. I would besides add that it requires the consequences of the appraisal to be acted upon within a short clip frame, while feedback is still relevant. Furthermore, â€Å" inventions that include beef uping the pattern of formative appraisal green goods important, and frequently significant, larning additions † . ( Black et al. 2003, p9 ) . The purpose, hence, is to guarantee that appraisal, of all types, is used formatively wherever possible.The Class That Was TaughtThe category that I taught was a Year 9 category of 20 students. Although they were classified as a lower-attaining category ( Set 3 out of 4 ) , the scope of abilities within the category and the particular demands of a few persons warrant some brief description. One male child had arrived late from Somalia and had a limited appreciation of English, but no other particular demands. Several of the students had low reading ages, typically in the age 8 – 9 scope, and were hence challenged by some word jobs. Additionally, one of these students had moved into mainstream categories at the start of twelvemonth 9, after two old ages supported by the school ‘s â€Å" nucleus programme † , and hence sometimes needed extra support as respects concentration. Four of the students in the category were on the school ‘s SEN registry as BESD, i.e. they had behavioral, emotional or societal troubles which without careful handling could take to disruption in lessons. One-half of the category entered twelvemonth 7 with a National Curriculum assessment degree of 3b or 3a, with the balance at low degree 4. By the terminal of twelvemonth 8 all were accessed at degree 4 or 5c. Several of the students moved up by merely one or two degree points during their first two old ages at Secondary school, bespeaking some cause for concern. The category was routinely supported by a Teaching Assistant, whose function was chiefly to back up the student with EAL, but besides to supply general support as required to other students.The Topic TaughtThe subject taught was Ratio and Proportion. The Scheme of Work indicated five hours of instruction, the equivalent of six 50 minute lessons, and I set about bring forthing a subject program consequently. The really first Standard which a trainee instructor must accomplish is to â€Å" hold high outlooks of kids and immature people † ( Training and Development Agency for Schools ( TDA ) , 2010 ) . With the benefit of hindsight, I can see that the word â€Å" high † in this criterion is a word that requires considerable understanding and single application to each student. At the clip, nevertheless, I took this to intend that I should anticipate all my pupils to be able to hold on the rudimentss of a given subject within a period of learning clip, determined by me, their instructor. â€Å" Low outlooks by instructors are regarded as a much bigger job than high outlooks. † ( Weeden, Winter and Broadfoot, 2002, p64 ) . Determined that my learning would non be portion of this â€Å" bigger job † , I set about my planning with high outlooks for all my students. This position was proven to be instead excessively simplistic during the instruction, but this will be elaborated upon subsequently. The subject of ratio and proportion, harmonizing to the strategy of work, is pre-dominantly a degree 5 – 6 subject, so would by necessity be disputing for most of the students. With a comparatively unfamiliar category I felt it was of import to get down by measuring how good the category would get by with some of the cardinal mathematical constructs which would be necessary for the subject. The first activity in the instruction, hence, was to re-cap fractions understanding. In peculiar, could the pupils cut down fractions to their simplest signifier, and could they happen fractions of measures? This was mostly a diagnostic appraisal, to set up a starting point for my instruction. Having established that all students had a sound appreciation of simplifying fractions, I introduced the construct of ratios and simplifying of ratios. This was followed by sharing a stated measure by a given ratio, and happening a missing measure given one measure and a ratio. The concluding instruction activity was to present the thought of proportion and to specify the difference between proportion and ratio. The subject was completed with a summational appraisal, and by self- and peer-assessment in the signifier of production of a posting. For the intents of this paper, I will concentrate chiefly on the start of the subject and the decision of the subject, and the appraisal strategies employed at these points. Some reference will be made of the interim instruction, peculiarly with mention to the effectivity or otherwise of appraisal carried out at this phase.The TeachingRe-cap FractionsMy determination to get down this subject with a re-cap of fractions was based on the similarities that I perceive between fractions and ratio. It hence seemed logical, before get downing on a new and potentially ambitious subject, to set up how much the category already knew about fractions. As claimed by Ausubel, ( in Clarke, 2005, p12 ) , â€Å" The most of import individual factor act uponing acquisition is what the scholar already knows. Determine this and learn him consequently. † Therefore, the intent of this lesson was diagnostic appraisal to be used to inform the instruction for the balance of the subject. Although diagnostic appraisal has been found to be uneffective if it is simply used for â€Å" puting † intents, it has had benefits if used to place the single acquisition demands of a student. ( Black et al. , 2003 ) . A starter activity ( of fiting braces of tantamount fractions ) indicated that the bulk of the category had an first-class appreciation of this construct. I established this by leting students to work in braces to fit the fractions, and so inquiring persons, or their spouses, for replies. I attempted to use a â€Å" no hands up † attack, as recommended by Lee ( 2006 ) , sometimes utilizing lollipop sticks to choose students to reply. â€Å" No hands up † was a new attack for the category, and many found it hard to defy seting custodies up or shouting out ( or both ) . I would hold with Lee ‘s averment that seting hands up can take to a competitory environment for some students. I would besides propose that it can take to disinterest from other students who see no demand to acquire involved. Having established that the students possessed an ability to simplify fractions, the following relevant facet of fractions was the ability to happen a fraction of a measure, e.g. A? of 36. Using mini white boards, I was able to set up that all students could work out simple measures. It was so of import to cognize the methods they had employed and to understand their idea procedures, and I used oppugning and synergistic treatment to set up students ‘ methods. As Morgan, Watson and Tikly ( 2004, p133 ) put it, â€Å" cognizing that they can bring forth the right solution is a instead dead-end piece of cognition for the instructor. It would be more helpful to happen out the restrictions of the manner they presently see the undertaking. Knowing how they see the procedure and what they say to themselves while making it, provides you with a get downing topographic point to learn them to work out more complicated jobs. † The popular method of happening A? was halving and halving once more, which led me to revise the inquiring by inquiring how to happen 1/5th of 30. This in bend led to treatment of division and generation, and through the discourse it became evident that many had troubles with times tabular arraies. As it was non my aim in this lesson to revise times tabular arraies, generation grids were made available to students who asked for them. More students asked for the grids than I had expected, which I believe was declarative of a general deficiency of assurance with mental maths. As a signifier of distinction this was effectual for those who needed the grids, but may besides hold led to others seeking an â€Å" easy option † . In the hereafter I would seek to administer such AIDSs to merely those I believed truly needed them. However, with the usage of the generation grids it was a straight-forward following measure to travel to non-unit fractions, and all students showed sensible ability to happen fractions of measures. I stated in the debut that the intent of this lesson was mostly to execute a diagnostic appraisal. As a consequence of the lesson I had gained a assurance in my students ‘ ability to manage fractions sufficiently good to come on to the following phase. I had non, nevertheless, asked my students to self-assess whether they felt the same. As a consequence, when, towards the terminal of the whole subject, I asked the students to self-assess how they felt about the assorted parts of the subject, I was surprised to detect that about all felt that they were unable to â€Å" make fractions † . It would look evident that although I believed my students had achieved the acquisition result, by the terminal of the subject they did non portion that belief. If I had instigated self-assessment during this lesson, the consequence may hold been different, but I will ne'er cognize for certain. I agree, with the suggestion of Weeden, Winter and Broadfoot ( 2002, p73 ) , that using effectu al signifiers of ego appraisal will do students â€Å" more responsible for and involved in their ain acquisition † . This is an country that I will necessitate to look to better as I move frontward into my following stage of instruction, as â€Å" it is far more valuable for pupils themselves to take part in the appraisal procedure than for instructors to be the exclusive proctors of advancement. † ( Morgan, Watson and Tikly, 2004, p134 ) . Even though the declared intent of the lesson was diagnostic appraisal, I made some effectual usage of formative appraisal during the lesson. For illustration, I used oppugning to place the students ‘ methods, and so adjusted my oppugning in response to their replies. While this was effectual, there was range for improved usage of oppugning, to examine deeper into their degree of apprehension.Ratio and ProportionThe chief instruction of ratio and proportion was spread over three lessons. Over that period we progressed from basic apprehension of the algorithms to application of the algorithms to â€Å" existent life † type jobs. As the work was spread over three lessons I was afforded the chance to reexamine the work in students ‘ books. Mindful of the research findings ( Black et al. ; Butler ; Clarke ; Thorndike ; in Stobart, 2006 ) , I restricted my marker to placing errors and doing remarks. The research of Thorndike, carried out about a hundred old ages ago, highlighted the comparative consequence of delegating classs to work, i.e. the assignment of classs taking to pupils comparing themselves against one another. This is supported by more recent research summarised by Clarke, ( 2005 ) , to boot doing a nexus to the importance of measuring attainment against the larning aims instead than against other students. My purpose in placing students ‘ errors was to be able to turn to mistakes and misconceptions in subsequent lessons. I was able to make this to some extent, but I do non hold the grounds of a follow-up appraisal to be able to corroborate whether this was wholly successful. The comment-only marker should hold been followed up by leting the pupils clip to reexamine the remarks, and re-work their replies in line with the remarks, as stressed by Black and William ( in Clarke, 2005 ) . I did non let sufficient clip for this to be done. It may besides hold been good at this phase if I had asked the students to notice for themselves on their work, as recommended by Clarke ( 2005 ) . She suggests this as a signifier of self appraisal, whereby the student, holding identified an country for betterment, would discourse the suggestion with the instructor. The in agreement betterment would so be made either in lesson clip or as a prep activity. In general, the planning of clip to let students to utilize the feedback they have received, and the subsequent appraisal of the effects, is an country of failing that I will necessitate to better if my feedback is to be genuinely formative. Another country of appraisal which I was trying to utilize during this instruction was effectual inquiring. I found a figure of troubles with effectual oppugning in this category, which may good be common across most categories. The first challenge was trying to guarantee all students were involved, without seting undue force per unit area on students who are non comfy replying inquiries in forepart of the whole category. The usage of mated activities helped in some instances, as students were able to give â€Å" squad † replies and support each other if required. Team- or pair-working is a method which I should look to widen in the hereafter, for usage with higher-order inquiries, and to promote the usage of more mathematical linguistic communication. The usage of â€Å" Study Buddies † has been shown to promote non merely mathematical talk and look, but besides peer-assessment and self-reflection ( Lee, 2006 ) . My efforts to guarantee all students were involved in replying inquiries led to some really awkward silences as I allowed the recommended ( Black et al. , 2003 ) wait-time. With one peculiarly quiet student whom I ne'er persuaded to reply a inquiry, the issue turned out to be merely one of being â€Å" afraid to acquire it incorrect † – this was a truly unfortunate state of affairs as it transpired from the terminal of topic trial that she had an first-class appreciation of the work. Not merely was her reserve making her a ill service, but the remainder of the category would besides hold benefited greatly from her part. In add-on, even if she had â€Å" got it incorrect † , this excessively would hold been of benefit. As Lee ( 2006, p26 – 27 ) states â€Å" a incorrect reply, possibly more than the â€Å" right † one, helps the instructor buttocks what further larning students need. †End of TopicAt the terminal of the subject I decided to tra nsport out two pieces of assessment – a summational trial and a brooding self-assessment. The summational trial besides included some points from the old subject I had taught this group. Its intent was to set up how good the students had remembered subjects they had been taught throughout the old six hebdomads. I was fortunate that this trial took topographic point at the start of â€Å" Christmas hebdomad † , when it was normal pattern in the school for lessons to be more relaxed. This allowed me clip to speak separately with each student, to discourse what they had done good and where they may hold had misinterpretations. I was concerned that the students were more interested in the grade they had achieved than in the feedback I was able to give them about their acquisition. Harmonizing to Weeden, Winter and Broadfoot, ( 2002, p115 ) this is non uncommon, as â€Å" the accent is ever on grade or class and seldom do students truly care about what they really achieved. † Although this was designed as a summational appraisal, I was besides able to utilize it formatively by placing a common job with algebra, and turn toing this in the last lesson of term, thereby utilizing â€Å" the wake of trials as an chance for formative work. † ( Black et al, 2003, p55 ) They besides conclude that â€Å" summational trials should beaˆÂ ¦ a positive portion of the acquisition procedure. † ( 2003, p56 ) The self-assessment took the signifier of the production of postings summarizing all they had learnt about Ratio and Proportion. The appraisal showed a assorted degree of apprehension, and ability to pass on that apprehension, within the category. One group showed an first-class apprehension and had clearly referred back to their books to guarantee that they included all the stuff right. The EAL pupil had trouble with this activity, so I encouraged him to be really ocular with his posting. Others had taken hapless notes during the instruction and struggled to remember the information – this, in itself, was a utile acquisition point for them, as they consider the quality and utility of what they write in their books. ( Two ( contrasting ) postings are included in Attachment A ) . Overall, this was an effectual drawing together of the subject, and enabled the students to self-assess their ain acquisition, as the production of postings â€Å" aˆÂ ¦ requires pupils to reflec t upon and organize their cognition in order to pass on it † ( Morgan, Watson and Tikly, 2004, p151 ) Although this self-assessment enabled students to reflect upon their acquisition, as it took topographic point at the terminal of the subject I was unable to supply an chance for students to set their contemplations into pattern. The appraisal can non hence be described as genuinely formative. An excess lesson would hold enabled the students to move upon their contemplations, thereby doing the assessment formative.General FindingsExcessively Much MaterialA repeating job with many of my lessons was trying to suit excessively much stuff into each lesson. This resulted in me travel rapidlying to â€Å" acquire through † the lesson. I therefore allowed deficient clip for examining and higher-order inquiries. This was to the hurt of my instruction and my students ‘ acquisition as â€Å" instruction is more than make fulling a kid with facts. It starts with presenting hard inquiries † ( Spendlove, 2009, p32 ) . I was losing chances, non merely to dispute and excite some of the students, but besides to measure the deepness of their apprehension and place misconceptions at an early phase.Communication and QuestioningMuch formative appraisal can be achieved by effectual communicating and oppugning. Black et al. , found effectual oppugning â€Å" aˆÂ ¦ led to richer discourse, in which the instructors evoked a wealth of information from which to judge the current apprehension of their pupils. † ( 2003, p41 ) However, many secondary school students appear to be fresh to constructive treatment in a lesson environment, and there are considerable challenges involved in altering this state of affairs, particularly if outlooks of communicating are non consistent across a school. Add to this the excess linguistic communication dimension of the â€Å" mathematics registry † as Lee ( 2006 ) calls it, and it goes some manner to explicating the trouble I had in promoting students to speak about their mathematics. While it may be disputing, the benefits of effectual communicating to pupils ‘ larning justify attempt being spent to better the quality of communicating in lessons, as â€Å" larning can non take topographic point in a vacuity and it is at its best when there is a rich bipartisan duologue between instructor and scholar and scholar and scholar. † ( Spendlove, 2004, p44 ) The countries of communicating in which students are encouraged to go involved include replying inquiries, and explicating their thoughts and methods. This can show farther troubles with the usage linguistic communication, peculiarly for students with EAL, who may happen themselves wholly excluded from the discourse. Another group of students who may hold a similar job are those for whom such communicating is unfamiliar outside school. â€Å" Children aˆÂ ¦aˆÂ ¦ . from families where English is non the first linguistic communication may be disadvantaged by trust on unwritten interaction. † ( Morgan, Watson and Tikly, 2004, p150 ) The fact that all students are larning a new mathematical linguistic communication together could be seen as a leveler for the EAL pupils, as all pupils â€Å" aˆÂ ¦need to larn how to utilize mathematical linguistic communication to make, control and show their ain mathematical significances. † ( Pimm, in Lee, 2006, p18 ) . Much of the linguistic communication will necessitate to be learnt by both EAL and non-EAL students. As a instructor purpose on promoting the usage of mathematical discourse as portion of formative appraisal in my instruction, I will necessitate to run into these challenges creatively.ExpectationsAs mentioned earlier, I set unvarying â€Å" high outlooks † for all my students, but I had given deficient consideration to the comparative nature of the word â€Å" high † . Whilst I believe that I am right to anticipate all of my students to accomplish an apprehension of what they are being taught, how fast and to what degree are things that need to be separately agreed. This so leads to the ability of students to measure their ain advancement against agreed marks and aims. I found that one student in the category ne'er did any work in the lesson until his outlook for that lesson had been separately negotiated with him. He would so bring forth some first-class work, by and large transcending my outlooks. Ollerton, ( 2003 ) relates the importance of students disputing themselves against their ain marks, instead than viing against one another, and that in such a civilization, outlook can be high but accomplishable, holding been negotiated and agreed between student and instructor.Assessment Against LevelsA trouble which has permeated my first instruction pattern has been the definition of â€Å" degrees † at which students are working. There has been an accent placed upon students being cognizant of the degree at which they are working, and being able to measure for themselves how they are come oning against those degrees. There is a danger, nevertheless, that this can take to â€Å" clicking boxes † for each point required within the degree , without needfully developing the apprehension behind the capable stuff. This is similar to the issues raised by Skemp ( 1976 ) , sing the importance of Relational Understanding as opposed to Instrumental Understanding. It is certainly possible for a student to be assessed, both by themselves and their instructors, to be working at degree 5, for illustration, while missing the relational apprehension to use their accomplishments in other countries. I tested this concern with a Year 6 student, with current maths degree ( instructor and trial ) assessed as degree 4a/5c. Without any learning about the topic of ratios ( other than a definition of the word ratio ) , this student was able to use bing mathematical cognition and apprehension to right work out ratio and proportion inquiries graded at degree 6. My twelvemonth 9 students on the other manus, while theoretically working at the same degree, and after several lessons on the topic, were unable or unwilling to utilize their accomplishments to undertake jobs which differed from 1s they had seen antecedently. ( I say unwilling, as I suspect some of their reserve was due to a deficiency of assurance in their ability to undertake more ambitious inquiries. ) So, while both the twelvemonth 6 student and the twelvemonth 9 students are assessed as working at the same degree, my belief is that the twelvemonth 6 student shows a far greater relational apprehension, while the twelvemonth 9 students show about merely instrumental apprehension. This is supported by findings which indicate â€Å" learning how to go through trials means that pupils may be able to go through even when they do non hold the accomplishments and understanding which the trial is intended to mensurate † ( Gordon and Reese in Harlen, 2006, p79 ) . The two groups come from different backgrounds and different acquisition experiences, so it is non possible to pull any decisions, other than to state that the assignment of degrees would look to give small information sing mathematical apprehension and attainment. It is possible that the twelvemonth 6 student has been encouraged to transport out more self find of mathematical constructs, an activity in which the twelvemonth 9 group were loath to prosecute. It concerns me that students are encouraged to mensurate their accomplishment by being able to click boxes instead than understand and use their mathematics. This leads to the consideration of students ‘ motive – what they want to acquire from their instruction.Motivation to LearnA uninterrupted challenge in all lessons has been promoting students to desire to larn. Pupils frequently ask the inquiry, â€Å" Why do I need to cognize this? â€Å" , and I confess to sometimes happening this a hard inquiry to reply. One of the primary countries I would seek to better in my instruction is my ability to actuate my students to larn, but first I must understand motive. There are two chief types of motive which encourage students to be in lessons ( as defined by Harlen, 2006 ) – extrinsic, where they are motivated by an external end such as deriving a making, and intrinsic, where they are motivated by the end of larning itself. â€Å" Intrinsic motive is seen as the ideal, since it is more likely to take to a desire to go on larning, than larning motivated extrinsically. † ( Harlen, 2006, p62 ) , and â€Å" intrinsic motive is associated with degrees of battle in larning that lead to conceptual apprehension and higher degree believing accomplishments † ( Kellaghan et al. , in Harlen, 2006, p63 ) . So, possibly I could hold used appraisal more efficaciously to increase the intrinsic motive of my students. The work of Harlen, ( 2006 ) identifies possible negative effects of appraisal on student motive, which mostly relate to summative appraisal and judgmental feedback. She besides goes on to depict patterns that maintain motive degrees, including affecting students in self-assessment ( Schunk ) , and the usage of feedback from regular classwork. None of this, nevertheless, leads to a decision that appraisal can assist increase intrinsic motive. Further factors need to be considered in finding whether this is the instance. There is surely grounds that formative appraisal can raise achievement degrees, as identified by Black et Al ( 2003 ) , but I do non believe that is needfully the same as raising intrinsic motive. Increased intrinsic motive is most likely to originate from bring forthing a echt involvement in what is being learnt, and hence lead to a desire to go on that larning throughout life. As Clarke ( 2005 ) claims, affecting pupils in their ain acquisition procedure has had the proved consequence of making life-long, independent scholars. Harlen ( 2006 ) describes two types of involvement – single involvement and situational involvement. Students with single involvement in mathematics will persist more and are likely to accomplish good. Sadly, nevertheless, non all students will hold single involvement. Either signifier of involvement will promote students to be involved in acquisition, so the instructor must try to make situational involvement, for illustration, through games. Having encouraged the students ‘ engagement through situational involvement, non merely will they get down to larn, but they may besides develop single involvement. One of the keys to making situational involvement is guaranting the students know what they are larning and why, and so supplying formative feedback to the student. Hence the importance of formative feedback in making involvement, taking to intrinsic motive. â€Å" no curricular inspection and repair, no instructional invention, no alteration in school administration, no toughening of criterions, no rethinking of instructor preparation or compensation will win if pupils do non come to school interested in, and committed to, larning. † ( Steinberg, in Weeden, Winter, Broadfoot, 2002, p9 ) It appears, hence, to be of critical importance that instructors use formative techniques to increase the intrinsic motive of their students to larn. At the same clip, they should avoid actions which will cut down their intrinsic motive.DecisionsThere have been several surveies over the old ages sing the impact of appraisal on students ‘ acquisition, notably the work of Black and William, at the abetment of the Assessment Reform Group. These surveies have concluded that for appraisal to raise the criterions of students ‘ attainment it must be used formatively. ( Black et al. , 2003 ) Reflecting upon my ain instruction and my students ‘ acquisition, I must admit that there are many ways in which my pattern can be improved. These include usage of higher-order inquiries, leting for self-discovery of mathematical constructs and leting clip for students to move upon feedback. It is still a duty of the instructor to fix students for external scrutinies, and to describe advancement to interested parties. As such it is necessary to strike a balance between the usage of formative appraisal to back up acquisition, and summational appraisal for coverage intents, but besides to fix students for taking external scrutinies. However, â€Å" There is ample grounds that the alterations involved ( in bettering formative appraisal ) will raise the tonss of their pupils on normal, conventional trials. † ( Black et al. , 2003, p2 ) The expression goes, â€Å" the hog does n't acquire fatter merely by being weighed † . Harmonizing to Weeden, Winter, Broadfoot, 2002, p36, Formative Assessment could be an exclusion to this regulation. In this peculiar instance, repeated and ongoing appraisal could really assist to better the quality of acquisition, if the information gleaned from the appraisal is used to do it go on.

Nigerian Economy, Gdp and Production.

NIGERIAN ECONOMY/GDP AND PRODUCTION Nigeria recorded a Current Account surplus of 11. 60 percent of the country's Gross Domestic Product in 2011. Current Account to GDP in Nigeria is reported by the African Economic Outlook. Historically, from 1980 until 2011, Nigeria Current Account to GDP averaged 1. 2 Percent reaching an all time high of 37. 9 Percent in December of 2008 and a record low of -18. 7 Percent in December of 1986. The Current account balance as a percent of GDP provides an indication on the level of international competitiveness of a country.Usually, countries recording a strong current account surplus have an economy heavily dependent on exports revenues, with high savings ratings but weak domestic demand. On the other hand, countries recording a current account deficit have strong imports, a low saving rates and high personal consumption rates as a percentage of disposable incomes. Nigeria recorded a Current Account surplus of 5035. 99 USD Million in the third quarte r of 2012. Current Account in Nigeria is reported by the Central Bank of Nigeria.Historically, from 2005 until 2012, Nigeria Current Account averaged 2373. 87 USD Million reaching an all time high of 9455. 37 USD Million in December of 2009 and a record low of -4410 USD Million in September of 2010. Current Account is the sum of the balance of trade (exports minus imports of goods and services), net factor income (such as interest and dividends) and net transfer payments (such as foreign aid). INDUSTRIAL PRODUCTION. In 2011 and 2012, Nigeria’s industrial production increased by 0. 10% as reported by the Central Bank of Nigeria.Historically, from 2007 until 2012, Nigeria Industrial Production averaged 3. 15 Percent reaching an all time high of 14. 90 Percent in December of 2011 and a record low of 0. 10 Percent in June of 2007. In Nigeria, industrial production measures the output of businesses integrated in industrial sector of the economy such as manufacturing, mining, and u tilities. This page includes a chart with historical data for Nigeria Industrial Production. The data given on this page shows a year over year change in a seasonally adjusted Industrial Production Index.Industrial Production Index is an economic indicator that measures changes in output for the manufacturing, mining, and utilities. Although these sectors contribute only a small portion of GDP, they are highly sensitive to interest rates and consumer demand. This makes Industrial Production an important tool for forecasting future GDP and economic performance. Industrial Production figures are also used by central banks to measure inflation, as high levels of industrial production can lead to uncontrolled levels of consumption and rapid inflation. Nigerian Economy, Gdp and Production. NIGERIAN ECONOMY/GDP AND PRODUCTION Nigeria recorded a Current Account surplus of 11. 60 percent of the country's Gross Domestic Product in 2011. Current Account to GDP in Nigeria is reported by the African Economic Outlook. Historically, from 1980 until 2011, Nigeria Current Account to GDP averaged 1. 2 Percent reaching an all time high of 37. 9 Percent in December of 2008 and a record low of -18. 7 Percent in December of 1986. The Current account balance as a percent of GDP provides an indication on the level of international competitiveness of a country.Usually, countries recording a strong current account surplus have an economy heavily dependent on exports revenues, with high savings ratings but weak domestic demand. On the other hand, countries recording a current account deficit have strong imports, a low saving rates and high personal consumption rates as a percentage of disposable incomes. Nigeria recorded a Current Account surplus of 5035. 99 USD Million in the third quarte r of 2012. Current Account in Nigeria is reported by the Central Bank of Nigeria.Historically, from 2005 until 2012, Nigeria Current Account averaged 2373. 87 USD Million reaching an all time high of 9455. 37 USD Million in December of 2009 and a record low of -4410 USD Million in September of 2010. Current Account is the sum of the balance of trade (exports minus imports of goods and services), net factor income (such as interest and dividends) and net transfer payments (such as foreign aid). INDUSTRIAL PRODUCTION. In 2011 and 2012, Nigeria’s industrial production increased by 0. 10% as reported by the Central Bank of Nigeria.Historically, from 2007 until 2012, Nigeria Industrial Production averaged 3. 15 Percent reaching an all time high of 14. 90 Percent in December of 2011 and a record low of 0. 10 Percent in June of 2007. In Nigeria, industrial production measures the output of businesses integrated in industrial sector of the economy such as manufacturing, mining, and u tilities. This page includes a chart with historical data for Nigeria Industrial Production. The data given on this page shows a year over year change in a seasonally adjusted Industrial Production Index.Industrial Production Index is an economic indicator that measures changes in output for the manufacturing, mining, and utilities. Although these sectors contribute only a small portion of GDP, they are highly sensitive to interest rates and consumer demand. This makes Industrial Production an important tool for forecasting future GDP and economic performance. Industrial Production figures are also used by central banks to measure inflation, as high levels of industrial production can lead to uncontrolled levels of consumption and rapid inflation.

Animal Testing

Animal Testing Essay Animal TestingThis theme song to a popular cartoon is a farce dealing with experiments carried out on animals. In the cartoon one mouse is made very smart and wants to take over the world while the other is clearly not as smart. While the cartoon makes jokes, the reality is that mice and other animals re being used for medical tests every day. For some people this testing brings up ethical questions. One of the biggest questions: is it really necessary to take the lives of animals in the name of science and for the betterment of humanity? For animal rights activists, like People for the Ethical Treatment of Animals (PETA), the answer is no. PETA pressures labs into halting experiments because they believe that animals are not to be used by humans for food, clothing, entertainment, or to experiment on (People for the Ethical Treatment of Animals 1). Its stance is that any testing is painful, inhumane, and unnecessary when alternatives are available. The PETA website says that animals, like humans, have interests that cannot be sacrificed or traded away simply because it might benefit others. (People for the Ethical Treatment of Animals 2-3). Essentially, PETA is of the opinion that animals and humans should have identical rights. In their press releases PETA puts out pictures of rabbits with open flesh wounds and dogs with rashes on their skinsall in an attempt to disgust people into sympathy for their cause. In actuality the number of lab animals used has been cut in half in the last 25 years (James-Enger 254). Of the animals used, 90 percent are rats and mice (James-Enger 1). Moreover, 11 million animals die each year in animal shelters (Americans for Medical Progress 2) and an astounding 95 percent of the animals that die in America do so from human consumption (James-Enger 254). The reason that animal testing is appropriate is that there are regulations in place to minimize testing and pain, the alternatives are insufficient for now, and most importantly the information obtained from experimentation is irreplaceable. While animal rights groups such as PETA advocate abolishing all animal testing that inflicts pain on animals, proponents of testing cite laws and regulations which minimize pain and discomfort. PETAs position is based on the belief that humans are not superior to animals (People for the Ethical Treatment of Animals). The vice president of the Humans Society of the United States (HSUS), an animal rights group that is nearly as extreme as PETA, has been quoted as saying the life of an ant and that of my child should be granted equal consideration (Americans for Medical Progress 2). If, as PETA and HSUS say, animal and human life is equal, then putting an animal through any pain is immoral. However, there are laws in place to minimize discomfort and inhumane treatment. The laws limit the amount of distress and pain an animal is subjected to. The United States Department of Agriculture (USDA), the body that governs animal test ing, must approve all tests (United States Department of Agriculture 2). The USDA must also authorize the numbers and types of animals experimented on (United States Department of Agriculture 2). Tests can no longer be performed if conclusive data is already available. In 1991 it was discovered that Procter and Gamble had performed experiments on 300 guinea pigs when the data the tests was to obtain was already available (Animal Testing by the Cosmetic Industry 2). This is just one of the situations that newer animal testing legislation would have prevented or at least deterred. A fifty-point criterion for assessing pain is in place (United States Department of Agriculture 3). These points include everything from vocalization of pain to apparent depression. If there is no clear criteria then it is assumed that procedures that cause pain in humans also cause pain in animals (United States Department of Agriculture 50). When an animal must be restrained it is to be limited to brief pe riods of around three minutes (United States Department of Agriculture 3). This is similar to the procedure followed when a doctor holds a child to administer a vaccination shot. For all surgeries and painful tests, sedatives and anesthetics must be utilized (United States Department of Agriculture 49). If the test will leave the animal permanently damaged, euthanasia must be administered before the anesthetic wears off (United States Department of Agriculture 48). For humans this topic is still being debated, but animals are put to sleep every day when an owner or veterinarian decides the quality of the animals life will be too low for it to go on living. These few but important changes in animal research legislation have aided in improving animal welfare. PETA believes that the benefits of animal research do not outweigh the costs when alternatives are available; proponents argue that those alternatives are not effective. PETAs stance is that animal life is too valuable to risk on experimentation especially when there are alternatives, such as false human skin grown in culture, computer programs, and using human subjects. Taking a few skin cells and growing them into small squares of skin produces the false human skin. This piece of skin can be used to test irritation reactions to different chemicals. It is being used in the cosmetic industry, which has all but ceased animal testing. One problem with the false skin however is that it can only be exposed to water-soluble chemicals or it suffers extreme damage (D.E. 168). Furthermore, it currently contains no melanocytes, the chemicals that give skin its color, or immune cells (D.E. 168). It is not known how or if these substances effect any laboratory setting, but it is desirable for any experiment to mimic real life situations as closely as possible. Another alternative to actual animal experimentation is using computer simulations. These programs are like encyclopedias of chemical information. They can only run simulations based on information on chemicals and reactions that are already known. This is an obvious problem with this alternative. Computer simulation software cannot accurately predict the effects of enough situations and theoretical chemical combinations to be heavily relied on. What it comes down to is that there currently is no viable replacement for live, responsive cells. Jack H. Botting and Adrian R. Morrison point out that there are no basic differences between the physiology of laboratory animals and humans (Botting, Morrison 85). These similarities are what scientists need for experiments to be accurate. The matches are never perfect, but animal experiments are a good place for researchers to start looking for answers to questions that are important to human health care. Another proposed alternative to animal testing is to use human subjects. PETA suggests using people who have particular ailments who would be willing to participate in experiments. The problem with this alternative is that it is not scientifically sound. When conducting a scientific experiment, all variables must be controlled, and running tests on random human subjects does not give reliable results. Assuming that a researcher could find enough people to run an experiment, there would be too many extraneous variables, such as the subjects environment, genes, and other pre-existing conditions. With lab animals the complete medical history is known, the entire life of each animal is documented. Also they are selectively bred to produce genetically similar subjects. Simply put, lab animals are a cheap, reliable source of information. The benefits gained from animal testing are too widespread to ignore. Everyday life has been changed for the better because of this testing. As 1990 Nobel Prize Laureate Joseph E. Murray, M.D. said, Animal experimentation has been essential to the development of all cardiac surgery, transplantation surgery, joint replacements and all vaccinations ( Americans for Medical Progress 1). The numbers to back up this claim are that over 440,000 open-heart surgeries are performed and 11,000 kidneys are transplanted every year, not to mention that animal experimentation has made possible the salvation of 20,000 kidney dialysis patients each year (Botting 1). Also, the ability to test on animals has made possible the relatively safe and successful use of dangerous chemotherapy drugs to treat cancer (Americans for Medical Progress 1). Drugs such as this cannot be tested on humans because of their strength and potential for killing in inappropriate doses. If the proper dosage were not known, the results would be inaccurate and could be lethal. Many antibiotics and vaccines used today were developed and tested through animal research, as were insulin to control diabetes and nearly all modern anesthetics (Botting 1). It is hard to imagine life without some of these lifesaving drugs, or even the ones that do not save lives, just make life a little more bearable. It is likewise significant to note that animal testing has benefited animals as well. When a pet owner takes his or her animal to the veterinarian to receive shots, chances are that those shots are available because of animal experimentation. Heartworm, feline leukemia, rabies, anthrax, and tetanus are all preventable because of animal testing. PETA and HSUS are honorable institutions with admirable goals, but they are over idealistic and overzealous. That fact can best be described by the following quote: Animal rights activists blocked for two years research aimed at stopping transmission of HIV from mother to child. That research ultimately demonstrated how AZT can prevent babies from getting AIDS (Americans for Medical Progress). Sometimes the good of the many outweighs the good of the few. This does not mean that animal testing should go unchecked. Suffering is kept to a minimum by legislation and advancements in testing alternatives. As these alternatives progress, the number of live animals needed for testing will gradually decrease and eventually the need for them will hopefully be eliminated. But in the meantime, animal testing is too important to stop. The benefits waiting to be had are too important and any possible drawbacks are too insignificant to allow a halt in animal research. BibliographyBibliographyAnimal Testing by the Cosmetic Industry. (20 March 1999). Animal Research Saves Human and Animal Lives. Americans for Medical Progress. (20 March 1999). Animal Research Holds the Key to Saving Human Lives. Americans for Medical Progress. (20 March 1999). Ball, Matt and Anne Green, and Jack Norris. Veganism as the Path to Animal Liberation. The Animals Agenda Sep/Oct 1998: 44-45. Botting, Jack H. and Adrian R. Morrison. Animal Research is Vital to Medicine. Scientific American. 187 February 1997: 83-85. D. E. Skin Stand-Ins. Scientific American. September 1990: 168. James-Enger, Kelly. Beyond Animal Testing. Vegetarian Times. October 1998: 254. People for the Ethical Treatment of Animals. (20 March 1999). 21 Things You May Not Know About the Animal Rights Movement. Americans for Medical Progress. (20 March 1999). U.S. Department of Agriculture: Animal and Plant Health Inspection Service. Animal Welfare Report Fiscal Year 1997. READ: The Terminal Man Essay

Intervention and health impact analysis Coursework

Intervention and health impact analysis - Coursework Example Now with the 5-tier pyramid containing different forms of interventions to maintain life expectancy in countries that have developed, it will ensure the means of preventing diseases, reduction of spread level and improvement in economic growth to emerge. In addition, there is improved living standards, and with improved ways of treatments (Frieden, 2010). With the pyramid, it helps in addressing the determinants of socioeconomic at the bottom and public health interventions e.g. clean water with safe infrastructure, protective interventions like immunizations with long lasting importance with clinical care and lastly education counseling located at the top of the pyramid. The socioeconomic factors situated at the bottom of the 5-tier pyramid mostly explains on economic issues or health indicators like poverty eradication, advanced education for the benefit of the society (Frieden, 2010). With increase in wealth, roads are constructed increasing the number of vehicles and a result leads to pollutions and deaths from the accidents but all the problems can be prevented by the improved health like availability of clean water and sanitation making the bicycle and scooter rentals a better option. Additionally, with changes in the context, it motivates health decisions regardless of education, provision of service, income, and many other factors. On the contrary, people who use cabs and other fuelled countries with lack of these are encouraged by brushing their teeth. Activities that lead to the elimination and the exposure of asbestos, salt iodination, clean water, air and food, improved road construction that helps in the creation of advanced healthier practices (Lowe, 2002). Besides the above case, the bicycle and scooter rentals is an imperative intervention since the inventions are in place to prevent cardiovascular diseases yet it is erratic with adherence that may not be predicted with unreliable effectiveness. The

What is the impact of 2008 China's olympic on its own economic Essay

What is the impact of 2008 China's olympic on its own economic - Essay Example The shanghai exchange almost tripled in value. And so there’s been a sense that everything could be managed in a positive way. The 2008 Olympic officially known as the games of the XXXIX Olympiad, will be celebrated form August 8, 2008 to August 24, 2008, with the opening ceremony commencing at the Beijing National Stadium in Beijing, people’s Republic of China. Some events will be held outside Beijing, namely football soccer in Qinhuangdao, shanghai, Shenyang and Tianjin, equestrian in Hong Kong and sailing in Qingdao. This will be the third time the Olympics are held under the Jurisdiction of 2 different NOCs (Hong Kong and Mainland China complete separately). The Olympic Games were awarded to Beijing, People’s Republic of China after an exhaustive ballot of the international Olympic committee (10c) on July 13, 2001. The official logo of the games titled Dancing Beijing features a stylized a stylized calligraphic character referencing the host city. The Olympic slogan, one world, one dream, calls upon the world to unite in the Olympic spirit. The Chinese government has promoted the games to highlight china’s emergence on the world stage, amidst concerns about environmental issues and the human rights violations especially in Tibet. The impact of 2008 Olympic in china is unquantifiable because it caught across many things like environmental and health issues, Tourism, Transportation and has a lot of economic boom in china economy. Though there has been sabotage plot and protest about hosting Olympic in china. In April 10th, 2008, china announced that they had foiled a salotage plot against the games. According to the Chinese security ministry, Uyghur separatists in the North –western province of Xingjian planned to conduct suicide bomb attacks on Chinese cities and conduct Kidnappings in Beijing in order to disrupt the Olympic Games. China winning bid to host 2008 summer Olympics will bring

How Can Piagetian Theory be used to facilitate teaching activities in Term Paper

How Can Piagetian Theory be used to facilitate teaching activities in learning centers - Term Paper Example He emphasized the use of questioning that lead children to think philosophically and designed tasks that call upon high-level cognition; problem solving, reasoning, and understanding of complex concepts (Siegler & Ellis, 1996). To Piaget, children’s cognitive behaviour is intrinsically rather than extrinsically motivated. Even if it is a fact that social interactions and other reinforcements influence how a child thinks, Piaget maintains that children learn and think naturally because they are designed and have been evolved to do so. He came up with the Stages of Cognitive Development because he believed that intellectual development is influenced by both maturation and experience. â€Å"Cognitive development is indicated by a growing ability to plan, to employ strategies for remembering and to seek solutions to problems† (Brewer, 2001: 26). Piaget describes that cognitive development of children progress in stages. The initial stage is the Sensorimotor Stage of babies and toddlers. This period is characterized by interactions with the environment based on the child’s reception of sensory input and muscular reactions. The task of this period is to develop the concept of object permanence, the idea that objects exist even when they cannot be seen or heard. (Brewer, 2001). The Preoperational Period (two to seven years) marks the time when a child becomes able to represent objects and knowledge through imitation, symbolic play, drawing, mental images and spoken language. Lack of conservation skills is also characteristic of this stage. â€Å"Conservation is defined as the knowledge that the number, mass, area, length, weight, and volume of objects are not changed by physically rearranging the objects.† (Brewer, 2001: 46) The ages of seven to eleven or twelve years falls under the Concrete Operational Period. Children at this age begin to think more operationally. Piaget and Inhelder (1969) described the operational thinker as one who em ploys â€Å"identity or reversibility by inversion or reciprocity† (99) in solving problems. They have moved on from being egocentric and consider that others may come to conclusions that differ from theirs. 2. Adult’s role in child development Piaget is a proponent of Consructivist philosophy in education. This philosophy premises on the belief that learners â€Å"construct† their own learning, and in effect, have better retention of it. â€Å"In the Constructivist theory the emphasis is placed on the learner or the student rather than the teacher or the instructor.   It is the learner who interacts with objects and events and thereby gains an understanding of the features held by such objects or events.   The learner, therefore, constructs his/her own conceptualizations and solutions to problems.   Learner autonomy and initiative is accepted and encouraged.† (Van Ryneveld, n.d., n.p.). Adults who adhere to Piagetian theories give the students more power in the acquisition of learning. Using prior knowledge, children are encouraged to invent their own solutions and try out their own ideas and hypotheses with the able support of their teachers. This way, they can indulge in concrete experiences that focus on their interests. The process of searching for information, analysing data and reaching conclusions is considered more important than learning facts. Teachers come up with several strategies in capturing their students’ attention, and courses are offered in helping educators become more efficient in imparting