OFICINA DE MATEMÁTICA - OPERANDO COM NÚMEROS INTEIROS
Autor: Luciana Girardi Pinto | Publicado: 2012-09-14T09:00:00-07:00






OPERANDO COM NÚMEROS INTEIROS
&nbsp;




Mariele
Josiane Fuchs[1]
&nbsp;




Em uma das oficinas de Matemática ministradas para a Turma 4, acabei
propondo uma atividade investigativa com o jogo denominado “Vira ou Deixa”, o qual é constituído por
piões de pontos (números inteiros positivos e negativos) e piões dos sinais
(“+” e “-”). Por meio dessa atividade, objetivou-se explorar as operações de
adição e subtração com números inteiros para que os alunos conseguissem
observar a variação dos sinais e resolver essas operações de uma maneira
divertida, ou melhor, brincando.





·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Material:


- Piões de pontos (números inteiros positivos e negativos);


- Piões dos sinais (“+” “-“).


&nbsp;


·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Procedimentos:


- A turma foi dividida em grupos de três componentes para
a realização das atividades, sendo que para cada grupo foi distribuído um pião
de pontos e outro dos sinais.


&nbsp;


·&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Descrição
da atividade: 


1.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Cada jogador jogava o pião dos pontos.
Se o resultado obtido fosse um número positivo, significava pontos ganhos. Se
fosse um número negativo, significava pontos perdidos. Em seguida, o jogador
jogava o pião dos sinais: se o sinal fosse “+”, os pontos antes conquistados
permaneciam, se o sinal fosse “-“, que equivale “oposto de”, os pontos resultantes
na primeira jogada teriam o sinal trocado. Por exemplo:


<v:group coordorigin="3580,8863" coordsize="4126,639" id="Grupo_x0020_4" o:gfxdata="UEsDBBQABgAIAAAAIQC75UiUBQEAAB4CAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKSRvU7DMBSF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" o:spid="_x0000_s1029" style="height: 31.95pt; left: 0px; margin-left: 139.5pt; margin-top: -0.3pt; position: absolute; text-align: left; width: 295.7pt; z-index: 251657216;">
 
  
   
   
   
   
   
   
   
   
   
   
   
   
  
  
  
   
   
  
 <v:shape id="AutoShape_x0020_3" o:gfxdata="UEsDBBQABgAIAAAAIQDw94q7/QAAAOIBAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbJSRzUrEMBDH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" o:spid="_x0000_s1030" style="mso-wrap-style: square; position: absolute; v-text-anchor: top; visibility: visible;" type="#_x0000_t87">
 
  
  
 <v:shape id="Text_x0020_Box_x0020_4" o:gfxdata="UEsDBBQABgAIAAAAIQDw94q7/QAAAOIBAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbJSRzUrEMBDH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" o:spid="_x0000_s1031" stroked="f" style="mso-wrap-style: square; position: absolute; v-text-anchor: top; visibility: visible;" type="#_x0000_t202">
  
   
   
    

     
     
     
Ou
     seja, deixa o sinal e o valor permanecerá + 4.


    

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; - 1º jogada: +4&nbsp;&nbsp;&nbsp;&nbsp; 





&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; - 2º jogada: “+”


<v:group coordorigin="3580,8863" coordsize="4126,639" id="Grupo_x0020_1" o:gfxdata="UEsDBBQABgAIAAAAIQC75UiUBQEAAB4CAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbKSRvU7DMBSF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=
" o:spid="_x0000_s1026" style="height: 31.95pt; left: 0px; margin-left: 139.5pt; margin-top: 3.25pt; position: absolute; text-align: left; width: 330.65pt; z-index: 251658240;">
 <v:shape id="AutoShape_x0020_6" o:gfxdata="UEsDBBQABgAIAAAAIQDw94q7/QAAAOIBAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbJSRzUrEMBDH
74LvEOYqbaoHEWm6B6tHFV0fYEimbdg2CZlYd9/edD8u4goeZ+b/8SOpV9tpFDNFtt4puC4rEOS0
N9b1Cj7WT8UdCE7oDI7ekYIdMayay4t6vQvEIrsdKxhSCvdSsh5oQi59IJcvnY8TpjzGXgbUG+xJ
3lTVrdTeJXKpSEsGNHVLHX6OSTxu8/pAEmlkEA8H4dKlAEMYrcaUSeXszI+W4thQZudew4MNfJUx
QP7asFzOFxx9L/lpojUkXjGmZ5wyhjSRJQ8YKGvKv1MWzIkL33VWU9lGfl98J6hz4cZ/uUjzf7Pb
bHuj+ZQu9z/UfAMAAP//AwBQSwMEFAAGAAgAAAAhADHdX2HSAAAAjwEAAAsAAABfcmVscy8ucmVs
c6SQwWrDMAyG74O9g9G9cdpDGaNOb4VeSwe7CltJTGPLWCZt376mMFhGbzvqF/o+8e/2tzCpmbJ4
jgbWTQuKomXn42Dg63xYfYCSgtHhxJEM3Elg372/7U40YalHMvokqlKiGBhLSZ9aix0poDScKNZN
zzlgqWMedEJ7wYH0pm23Ov9mQLdgqqMzkI9uA+p8T9X8hx28zSzcl8Zy0Nz33r6iasfXeKK5UjAP
VAy4LM8w09zU50C/9q7/6ZURE31X/kL8TKv1x6wXNXYPAAAA//8DAFBLAwQUAAYACAAAACEAMy8F
nkEAAAA5AAAAEAAAAGRycy9zaGFwZXhtbC54bWyysa/IzVEoSy0qzszPs1Uy1DNQUkjNS85PycxL
t1UKDXHTtVBSKC5JzEtJzMnPS7VVqkwtVrK34+UCAAAA//8DAFBLAwQUAAYACAAAACEA/LFprMQA
AADaAAAADwAAAGRycy9kb3ducmV2LnhtbESPzWrDMBCE74W+g9hCLyGWnUMJjmVTCoY0h4b8nhdr
YxtbK9dSEzdPXxUKPQ4z8w2TFZPpxZVG11pWkEQxCOLK6pZrBcdDOV+CcB5ZY2+ZFHyTgyJ/fMgw
1fbGO7rufS0ChF2KChrvh1RKVzVk0EV2IA7exY4GfZBjLfWItwA3vVzE8Ys02HJYaHCgt4aqbv9l
FPhT8lFNd/uJ5fs5XiezzW7bbZR6fppeVyA8Tf4//NdeawUL+L0SboDMfwAAAP//AwBQSwECLQAU
AAYACAAAACEA8PeKu/0AAADiAQAAEwAAAAAAAAAAAAAAAAAAAAAAW0NvbnRlbnRfVHlwZXNdLnht
bFBLAQItABQABgAIAAAAIQAx3V9h0gAAAI8BAAALAAAAAAAAAAAAAAAAAC4BAABfcmVscy8ucmVs
c1BLAQItABQABgAIAAAAIQAzLwWeQQAAADkAAAAQAAAAAAAAAAAAAAAAACkCAABkcnMvc2hhcGV4
bWwueG1sUEsBAi0AFAAGAAgAAAAhAPyxaazEAAAA2gAAAA8AAAAAAAAAAAAAAAAAmAIAAGRycy9k
b3ducmV2LnhtbFBLBQYAAAAABAAEAPUAAACJAwAAAAA=
" o:spid="_x0000_s1027" style="mso-wrap-style: square; position: absolute; v-text-anchor: top; visibility: visible;" type="#_x0000_t87">
 <v:shape id="Text_x0020_Box_x0020_7" o:gfxdata="UEsDBBQABgAIAAAAIQDw94q7/QAAAOIBAAATAAAAW0NvbnRlbnRfVHlwZXNdLnhtbJSRzUrEMBDH
74LvEOYqbaoHEWm6B6tHFV0fYEimbdg2CZlYd9/edD8u4goeZ+b/8SOpV9tpFDNFtt4puC4rEOS0
N9b1Cj7WT8UdCE7oDI7ekYIdMayay4t6vQvEIrsdKxhSCvdSsh5oQi59IJcvnY8TpjzGXgbUG+xJ
3lTVrdTeJXKpSEsGNHVLHX6OSTxu8/pAEmlkEA8H4dKlAEMYrcaUSeXszI+W4thQZudew4MNfJUx
QP7asFzOFxx9L/lpojUkXjGmZ5wyhjSRJQ8YKGvKv1MWzIkL33VWU9lGfl98J6hz4cZ/uUjzf7Pb
bHuj+ZQu9z/UfAMAAP//AwBQSwMEFAAGAAgAAAAhADHdX2HSAAAAjwEAAAsAAABfcmVscy8ucmVs
c6SQwWrDMAyG74O9g9G9cdpDGaNOb4VeSwe7CltJTGPLWCZt376mMFhGbzvqF/o+8e/2tzCpmbJ4
jgbWTQuKomXn42Dg63xYfYCSgtHhxJEM3Elg372/7U40YalHMvokqlKiGBhLSZ9aix0poDScKNZN
zzlgqWMedEJ7wYH0pm23Ov9mQLdgqqMzkI9uA+p8T9X8hx28zSzcl8Zy0Nz33r6iasfXeKK5UjAP
VAy4LM8w09zU50C/9q7/6ZURE31X/kL8TKv1x6wXNXYPAAAA//8DAFBLAwQUAAYACAAAACEAMy8F
nkEAAAA5AAAAEAAAAGRycy9zaGFwZXhtbC54bWyysa/IzVEoSy0qzszPs1Uy1DNQUkjNS85PycxL
t1UKDXHTtVBSKC5JzEtJzMnPS7VVqkwtVrK34+UCAAAA//8DAFBLAwQUAAYACAAAACEARtCoI8IA
AADaAAAADwAAAGRycy9kb3ducmV2LnhtbESP0YrCMBRE3wX/IVxhX2RNddVq1yjuguKrrh9w21zb
ss1NaaKtf28EwcdhZs4wq01nKnGjxpWWFYxHEQjizOqScwXnv93nAoTzyBory6TgTg42635vhYm2
LR/pdvK5CBB2CSoovK8TKV1WkEE3sjVx8C62MeiDbHKpG2wD3FRyEkVzabDksFBgTb8FZf+nq1Fw
ObTD2bJN9/4cH6fzHyzj1N6V+hh0228Qnjr/Dr/aB63gC55Xwg2Q6wcAAAD//wMAUEsBAi0AFAAG
AAgAAAAhAPD3irv9AAAA4gEAABMAAAAAAAAAAAAAAAAAAAAAAFtDb250ZW50X1R5cGVzXS54bWxQ
SwECLQAUAAYACAAAACEAMd1fYdIAAACPAQAACwAAAAAAAAAAAAAAAAAuAQAAX3JlbHMvLnJlbHNQ
SwECLQAUAAYACAAAACEAMy8FnkEAAAA5AAAAEAAAAAAAAAAAAAAAAAApAgAAZHJzL3NoYXBleG1s
LnhtbFBLAQItABQABgAIAAAAIQBG0KgjwgAAANoAAAAPAAAAAAAAAAAAAAAAAJgCAABkcnMvZG93
bnJldi54bWxQSwUGAAAAAAQABAD1AAAAhwMAAAAA
" o:spid="_x0000_s1028" stroked="f" style="mso-wrap-style: square; position: absolute; v-text-anchor: top; visibility: visible;" type="#_x0000_t202">
  
   
   
    

     
     
     
Ou
     seja, vira o sinal e como o oposto de +4 = - (+4) = - 4.


    

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Ou:
- 1º jogada: “-4”





&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; - 2º jogada: “-“


&nbsp;


2.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; O registro das jogadas era feito em
uma tabela distribuída aos alunos, conforme apresento abaixo. 




 

  
  
Jogo nº

  
  
Sinal

  
  
Pontos envolvidos

  
  
Pontos resultantes na jogada

 

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

 

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

 

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

 

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

 

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

  
  
&nbsp;

 




3.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; O jogo acabava depois que cada
jogador fizesse cinco jogadas. Em seguida, era conferida a pontuação individual
e o aluno que tivesse maior número de pontos positivos era o vencedor.


&nbsp;


4.&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Após terem concluído a jogada, a
tabela acima, com os registros feitos, foi explorada a partir dos seguintes
encaminhamentos:


a)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Qual
o saldo de pontos de cada jogador? Coloque-os em ordem crescente.


b)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
O
que podemos perceber quanto à troca de sinais?


c)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Qual a diferença entre conseguir
“+” e “-“ durante a jogada? O que acontece em cada uma das situações? 


d)&nbsp;&nbsp;&nbsp;&nbsp; De que forma você procedeu para
adicionar números com sinais iguais? E com sinais contrários?


e)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Determine
a diferença entre os saldos finais de cada jogador. 


f)&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;
Supondo
que você tivesse conquistado na 1ª jogada +1 pontos e após a 2ª contava com -3
pontos. Qual foi os pontos que conquistou na 2ª rodada do jogo? 








&nbsp;Figura 1 – Alunos manipulando os piões
do jogo “Vira ou Deixa”.


&nbsp;


&nbsp;

&nbsp;


Figura 2 – Alunos manipulando os piões
do jogo “Vira ou Deixa” e fazendo as anotações na tabela.


&nbsp;




Figura 3 – Alunas manipulando os piões
do jogo “Vira ou Deixa”.


&nbsp;











[1]
Licenciada em Matemática pela UNIJUÍ – Universidade Regional do Noroeste do
Estado do Rio Grande do Sul (2010) ; Mestranda em Educação Nas Ciências na
UNIJUÍ; integrante do Grupo de Estudos em Educação Matemática
(GEEM/UNIJUÍ/Ijuí) e professora das oficinas de Matemática no Programa “Mais
Educação” da Escola Estadual de Ensino Fundamental São Francisco. Endereço
eletrônico: mariele.fuchs@unijui.edu.br