Modelagem Matemática
Autor: Cândido dos Santos Silva | Publicado: 2010-11-08T05:45:00-08:00

<!--[if gte mso 9]>     Normal   0         21         false   false   false      PT-BR   X-NONE   X-NONE                                                                                                     <!--[endif]--><!--[if gte mso 9]>  <w:LatentStyles DefLockedState="false" DefUnhideWhenUsed="true"
  DefSemiHidden="true" DefQFormat="false" DefPriority="99"
  LatentStyleCount="267">   <w:LsdException Locked="false" Priority="0" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Normal"/>   <w:LsdException Locked="false" Priority="9" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="heading 1"/>                                                         <w:LsdException Locked="false" Priority="10" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Title"/>      <w:LsdException Locked="false" Priority="11" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtitle"/>   <w:LsdException Locked="false" Priority="22" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Strong"/>   <w:LsdException Locked="false" Priority="20" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Emphasis"/>   <w:LsdException Locked="false" Priority="59" SemiHidden="false"
   UnhideWhenUsed="false" Name="Table Grid"/>      <w:LsdException Locked="false" Priority="1" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="No Spacing"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 1"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 1"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 1"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 1"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 1"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 1"/>      <w:LsdException Locked="false" Priority="34" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="List Paragraph"/>   <w:LsdException Locked="false" Priority="29" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Quote"/>   <w:LsdException Locked="false" Priority="30" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Quote"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 1"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 1"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 1"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 1"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 1"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 1"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 1"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 1"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 2"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 2"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 2"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 2"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 2"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 2"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 2"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 2"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 2"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 2"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 2"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 2"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 2"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 2"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 3"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 3"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 3"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 3"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 3"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 3"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 3"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 3"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 3"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 3"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 3"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 3"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 3"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 3"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 4"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 4"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 4"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 4"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 4"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 4"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 4"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 4"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 4"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 4"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 4"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 4"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 4"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 4"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 5"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 5"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 5"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 5"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 5"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 5"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 5"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 5"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 5"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 5"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 5"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 5"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 5"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 5"/>   <w:LsdException Locked="false" Priority="60" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Shading Accent 6"/>   <w:LsdException Locked="false" Priority="61" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light List Accent 6"/>   <w:LsdException Locked="false" Priority="62" SemiHidden="false"
   UnhideWhenUsed="false" Name="Light Grid Accent 6"/>   <w:LsdException Locked="false" Priority="63" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 1 Accent 6"/>   <w:LsdException Locked="false" Priority="64" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Shading 2 Accent 6"/>   <w:LsdException Locked="false" Priority="65" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 1 Accent 6"/>   <w:LsdException Locked="false" Priority="66" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium List 2 Accent 6"/>   <w:LsdException Locked="false" Priority="67" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 1 Accent 6"/>   <w:LsdException Locked="false" Priority="68" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 2 Accent 6"/>   <w:LsdException Locked="false" Priority="69" SemiHidden="false"
   UnhideWhenUsed="false" Name="Medium Grid 3 Accent 6"/>   <w:LsdException Locked="false" Priority="70" SemiHidden="false"
   UnhideWhenUsed="false" Name="Dark List Accent 6"/>   <w:LsdException Locked="false" Priority="71" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Shading Accent 6"/>   <w:LsdException Locked="false" Priority="72" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful List Accent 6"/>   <w:LsdException Locked="false" Priority="73" SemiHidden="false"
   UnhideWhenUsed="false" Name="Colorful Grid Accent 6"/>   <w:LsdException Locked="false" Priority="19" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Emphasis"/>   <w:LsdException Locked="false" Priority="21" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Emphasis"/>   <w:LsdException Locked="false" Priority="31" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Subtle Reference"/>   <w:LsdException Locked="false" Priority="32" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Intense Reference"/>   <w:LsdException Locked="false" Priority="33" SemiHidden="false"
   UnhideWhenUsed="false" QFormat="true" Name="Book Title"/>         <![endif]--><!--[if gte mso 10]> 
 /* Style Definitions */
 table.MsoNormalTable
 {mso-style-name:"Tabela normal";
 mso-tstyle-rowband-size:0;
 mso-tstyle-colband-size:0;
 mso-style-noshow:yes;
 mso-style-priority:99;
 mso-style-qformat:yes;
 mso-style-parent:"";
 mso-padding-alt:0cm 5.4pt 0cm 5.4pt;
 mso-para-margin-top:0cm;
 mso-para-margin-right:0cm;
 mso-para-margin-bottom:10.0pt;
 mso-para-margin-left:0cm;
 line-height:115%;
 mso-pagination:widow-orphan;
 font-size:11.0pt;
 font-family:"Calibri","sans-serif";
 mso-ascii-font-family:Calibri;
 mso-ascii-theme-font:minor-latin;
 mso-fareast-font-family:"Times New Roman";
 mso-fareast-theme-font:minor-fareast;
 mso-hansi-font-family:Calibri;
 mso-hansi-theme-font:minor-latin;}
 <![endif]-->  
Surgiu da necessidade de uma metodologia onde o educando estivesse mais próximo do cotidiano do aprendiz e dos problemas que este enfrenta no seu cotidiano. É um método de ensino que possibilita a aprendizagem de Matemática por meio da criação de um modelo que a relaciona com outras ciências. Para desenvolver o conteúdo escolhe-se o tema que deverá ser transformado em modelo matemático. A escolha do tema pode ser feita pelo educador ou pelos educandos ( SIQUEIRA, 2007).Biembengut (1999) ao abordar sobre esta questão afirma que “modelo matemático é um conjunto de símbolos e relações matemáticas que procura traduzir, de alguma forma, um fenômeno em questão ou problema de situação real”.Pinheiro (2005) ao analisar esta afirmativa de Biembengut relata que a Modelagem Matemática apresenta-se como uma forma de capacitar o indivíduo para uma atuação consciente e crítica na realidade em que vive. Assim, o educando pode construir modelos abstratos na descrição e resolução de um fenômeno no qual a Matemática aparece como linguagem que representa a situação, e como ferramenta na busca de solução para os problemas que envolvem ciência, tecnologia e sociedade.