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[HQ]*/The%Language<&Of M.athem.atics 05-12-2016

 
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MessagePosté le: Jeu 12 Mai - 06:40 (2016)    Sujet du message: [HQ]*/The%Language<&Of M.athem.atics 05-12-2016 Répondre en citant

LINK > bit.ly/1WrvYnB

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LINK > bit.ly/1WrvYnB

LINK > bit.ly/1WrvYnB

LINK > bit.ly/1WrvYnB


There...are...a...limited...number...of...frequently...repeated...patterns...of...expression...and...thought...in...Mathematics(September....2005)....Preliminary....Report....on....the....200405....Evaluation....Study....of....the....ASCD....Program....for....Building....Academic....VocabularyMy...own...attitude,...which...I...share...with...many...of...my...colleagues,...is...simply...that...mathematics...is...a...languageI...already...knew...him...by...name...and...had...seen...some...of...his...work,...but...had...not...taken...the...trouble...to...master...his...notationNow..calculators..and..computers..can..do..all..the..calculations..you..will..ever..need..to..doMathematical....facts....are....on....the....web....for....the....asking,....if....you....know....how....to....ask....and....can....read....the....mathematical....language....on....the....web....pages....you....findThat...language,...like...other...languages,...has...its...own...grammar,...syntax,...vocabulary,...word...order,...synonyms,...negations,...conventions,...abbreviations,...sentence...structure,...and...paragraph...structureAn....interesting....example....of....how....language....can....either....illuminate....or....obscure....concepts....is....the....difference....between....the....word....twelve....in....English....and....the....corresponding....word....in....Chinese,....the....grammar....of....which....is....a....perfect....reflection....of....decimal....structureKenney....Over....the....years,....we....have....colloquially....referred....to....mathematics....as....a....special....language1992,..616-618)..entitled.."Grade..assignment..based..on..progressive..improvement"..which..was..reprinted..in..the..NCTM's..Emphasis..on..AssessmentFor..example,..the..formula..above,..an..equation,..can..be..considered..a..sentence..or..sentential..phrase..in..which..the..greater..than..or..equal..to..symbol..has..the..role..of..a..verbAs..the..argument..goes,..it..is..not,..because..when..one..says,..I..watched..a..number..of..movies,..one..does..not..mean..0..as..a..possibilityHere...are...two...examples:...Ordinary...language...is...totally...unsuited...for...expressing...what...physics...really...asserts,...since...the...words...of...everyday...life...are...not...sufficiently...abstractMathematics...would...not...qualify...as...a...language...under...these...definitions,...as...it...is...primarily...a...written...form...of...communication...(to...see...why,...try...reading...Maxwell's...equations...out...loud)You..will..duplicate..this,..and..to..one..of..the..two..you..add..one-half..the..number..you..have..already..squared..and..from..the..other..you..subtract..one-half..the..sameIn...other...cases,...specialist...terms...have...been...created...which...do...not...exist...outside...of...mathematicsexamples...are...tensor,...fractal,...functorMathematics....describes....the....real....world:....many....areas....of....mathematics....originated....with....attempts....to....describe....and....solve....real....world....phenomena....-....from....measuring....farms....(geometry)....to....falling....apples....(calculus)....to....gambling....(probability)Accessed...11/30/05:...www.ascd.org/ASCD/pdf/...Building%20...Academic%20Vocabulary%20Report.pdfWhat's...it...like?...Here...is...the...first...section...in...pdf...formatThe..Language..of..Mathematics..was..designed..so..we..can..write..about:Such...phrases...are...known...as...mathematical...jargonIgnorance..of..these..issues..can..lead..to..impaired..communication..at..best,..and..serious..mathematical..misunderstanding..at..worstAs....a....result,....people....tend....to....lump....content....and....process....together....when....discussing....mathematics,....calling....it....all....mathematics....contentThis....course....adds....valueAlternative..views[edit]And..one..of..us..told..of..feeling..suddenly..divorced..from..the..language..of..mathematics..upon..entering..Algebra..II,..where..everything..became..symbol-laden..and..obscureEugene..Paul..Wigner,..(1902-1995):..The..Unreasonable..Effectiveness..of..Mathematics..in..the..Natural..SciencesIn...other...cases,...specialist...terms...have...been...created...which...do...not...exist...outside...of...mathematicsexamples...are...tensor,...fractal,...functorIt..will..help..you..grasp..what..the..text..doesThis....brings....me....to....my....major....thesis....that....natural....language,....gradually....expanded....to....include....symbolism....and....logic,....is....the....key....to....both....the....learning....of....mathematics....and....its....effective....application....to....problem....situationsContact....Front....page....Contents....Store.....The..extensive..(42..small-print..pages..crammed..with..solutions)..solution..manual..gives..them..feedback..they..needHowever,...it...is...difficult...to...give...any...categorical...examples...here,...as...even...the...most...abstract...structures...can...be...co-opted...as...models...in...some...branch...of...physics...(see...Calabi-Yau...spaces...and...string...theory)Like...natural...languages...in...general,...discourse...using...the...language...of...mathematics...can...employ...a...scala...of...registersAt....the....same....time,....the....Sumerians....developed....some....written....notation....for....mathematics 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