AboutstrengtheningShuxingjiegeimproveproblem-solvingability-毕业论文翻译

1、About stre ngthe ning Shux in gjiege improve problem-solvi ng abilityI. I ntroducti onEn gels said:“ Mathematics is therelati on shipbetween the amount of real world scienee and space in the form. Contradictoryunity of the two studies inmathematical object“number ” and “shape ” thein ternal factors

2、of the developme nt of mathematics.TheComb in atio n is a thread throughout the developme nt of mathematics, mathematics in practice more exte nsive and far-reachi ng. On the one hand, by virtue of the n ature of the graphics to visualize abstract mathematical con cepts and qua ntitativerelati on sh

3、ips,simplistic, givi ng thein tuitive sen se, on the other hand, the graphics problems into algebraic problems can get accurateconclusions.“ Number ” and “ shape ” of in formati on con vers ion, mutual pen etrati on, not only to make problem solv ing a simple and neat, but also to develop problem-so

4、lvingideas, has openedup an importantway to study andexploremathematicalproblems.Shux in gjiegeisconn ectedto the “number ” and“shape ” ofthei“ bridge ” , it is not only an important method of problem-solving,is an importantmathematical ideas.High school mathematicslear ningthe thoughtShux in gjiege

5、 throughout.Second, the purpose and significaneeof thestudy The nu mber is a form of abstracti on, the shape is a visual representationof the number.Professor Huasaid:“less intuitive when the shape of the number ofmiss ing, the form of a small nu mber of difficult nuan ced.Sortsof good Shux in gjieg

6、e,everycrack separati onMasterCard non. ” Shuxingjiege is to make full use of rigorous form andin tuitive,abstract mathematicalIan guage comb ined with in tuitive graphical la nguage, the comb in ati on of abstract th inking and the thi nking in images, graphic description,and algebraicargumenttostu

7、dy and solve math problems, a mathematical way of thinking. The Comb in atio n of thinking, and its esse nee is to comb ine abstract mathematical la nguage with in tuitive image, the key is the mutual con vers ion betwee n algebra problems and graphics, it can make the algebra problem geometry, the

8、geometry issues algebra of.Shux in gjiege way of thi nking is the esse nee of one of the middle school math basics, is many kno wledge into the ability to “ bridge ” . High school mathematics teach ing abstract problem stude nts ofte n find it difficult to understand,if teachers flexibility to guide

9、 studentsShuxingjiege, intoan intuitive, easy to perceive theproblem, students easy to understand,and be able tosolve the problem, to obtaina successful experienee,enhance stude nts con fide nee in lear ning mathematics. Especially for the more difficult problems, the stude nts, if resolved in depe

10、nden tly or teacher in spired and guided problem solv ing, the mood is more pleasa nt, so that it is easy to stimulate the en thusiasm, i nterest and en thusiasm of the stude nts lear ning of mathematics.At the sametime, once the stude nts master the Shux in gjiege law and con ti nue to try and use,

11、 many problems can be solved.Third, Shuxingjiege improve students ability to solve problems As a mathematical way of thinking, Shux in gjiege applicati ons gen erally can be divided into two situati ons: either by means of a nu mber of accuracy toclarify some of the properties of the form, or by mea

12、ns of shaped geometric in tuiti on to clarify betwee n the nu mber of a certa in relati on ship,i.e. Shux in gjiegein cludes twoaspects:the first case is “In the nu mber ofsolution-shaped ” , while the second case is “to form co-number ” . Which focus of Shuxingjiege is research to form the nu mber

13、of help.“Based on the intrinsic link betweenthe conditionsand conclusionsof the mathematical problem, it isn ecessary to an alyze the algebraic sen se, they reveal the geometric in tuiti on, to accurately characterize the spatial form of the nu mber of releva nt visually clever, harm onio uslytogeth

14、er, and take full adva ntageof thisShux in gjiege looki ng for problem-solv ing ideas, anything easy, simplify, and thus be successfully resolved the problem of(“In-shaped co-number”Review:the use of thenu mber-shapedknotthinking not only intuitiveand easy to find problemsolv ing ways, but also to a

15、void thecomplex calculatio nsand reas oning, and greatly simplifies the problem-solv ing process. In the solutionof multiple-choice, fill-in more superior, the need to cultivate this ideology, in order to develop their ownTh inking visio n.Links to free papers Downl oad Cen ter Reviews: Shux in gjie

16、ge thought can make some abstract mathematical problem in tuitive, vivid abstract thi nki ng can cha nge the image of thi nki ng helps to grasp math the n ature of the problem,to simplifythecalculati on.Comment:Many of the functionsof most value,there is a geometric backgro und, with the form of in

17、tuitive problemsolvingis an important method of seekingproblem-solvi ng ideas, to the problem through a graphical geometricin tuitivedescripti on,ide ntifyproblems inShux in gjiegelogicalrelati ons,in spiredthinking, problem Solv ing.Review: vector has a good set of arithmetic n ature,through the es

18、tablishme ntof a Cartesia ncoord in atesystem, the geometry of n ature can be tran sformed into vector operati ons, becomes abstract logical reas oning for vector operati ons, with the accurate specificati on to clarify the three-dime nsional geometric rigor the properties, both to simplify the diff

19、icult problem of spatial imag in atio n, especially simple.Using Shux in gjiege ideological an alysis and problem-solving, to pay attentionto three things: firstthoroughly un dersta nd the geometric meaning of some of the concepts and operation as well as the curve of the algebraic features an alysi

20、s of its geometric meaning both on the the math topics conditionsand conclusions andanalysis Algebrais appropriate to set parameters,withreas on ableparameters, build relati on ships,and by thenumber of Si-shaped to form want the number, good nu mber of shape tran sformatio n, the third is the right

21、 to determ ine the parameter ran ges.Mathematics teach ing pen etrate Shux in gjiege thinkingShux in gjiege is one of the importa nt thinkingof new high school math curriculum penetration.Thecontents of the new textbooks good training and developme ntof stude ntsShux in gjiegeth in ki ng.Pen etrati

22、onof this way of th in ki ngin the textbook ondevelop ing stude nts problem-solv ing ideas, look ing forthe best problem-solv ing method has the role of guid ing the correct an alysis of the problem, compared reas on ableLenovo,and gradually form a correct view of theproblem-solving,but also of abst

23、ractiongiven visualizeunderstandingand memory, can guide the students inlearning mathematical cog nitive ability, and enhance the understandingof the real world, thereby enhancing themathematical literacy, and con sta ntly improve themselves.Already fullimpleme ntati onof the newcurriculum of teachi

24、ng content hierarchy teach the new curriculum syllabus requireme nts and kno wledge point of view, Shuxingjiege method of teaching through three main stages:The first stage is the nu mber of con formal maps, itis Shux in gjiege foun dati on, through the usual con cept of teach ing gradually pen etra

25、te stude nts through lear ning,training, experie nee, and gradually comprehe nd and master. On one hand, the point on the real number corresponding with the number of axis points, flat with corresp onding ordered pairs of real nu mbers, corresp onding to the fun cti on and image corresp onding to th

26、e curve with equatio n, etc., as well as the backgro und of geometric eleme nts and geometric con diti ons established concepts such as vectors,trigonometricfun cti ons, etc., to createcon diti onsfor Shux in gjiegeprovide theoretical support.On the other hand, the highschool math con cepts with str

27、o ng abstracti on, gen erality, stude nts have a greater di fficulty in un dersta nding.Canmake use of the geometric shape to achieve the purpose of helping studentsunderstandintuitive.For example,the fun cti on and image comb inefun cti onalrelati on shipexpressed by geometric methods to helpstude

28、ntsun dersta nd the fun cti on of abstracti on.The second stage is the number of shape tran sformatio n, it reflects the nu mber and shape relati ons in the problem-solvingprocess, how as a method to beused. The mathematical problem is a prerequisite forcarry ingout mathematical thinking,problem-solvi ngprocess, i n esse nee, is a process of men tal training.Wecan Shu