
<ns0:uwmetadata xmlns:ns0="http://phaidra.univie.ac.at/XML/metadata/V1.0" xmlns:ns1="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0" xmlns:ns10="http://phaidra.univie.ac.at/XML/metadata/provenience/V1.0" xmlns:ns11="http://phaidra.univie.ac.at/XML/metadata/provenience/V1.0/entity" xmlns:ns12="http://phaidra.univie.ac.at/XML/metadata/digitalbook/V1.0" xmlns:ns13="http://phaidra.univie.ac.at/XML/metadata/etheses/V1.0" xmlns:ns2="http://phaidra.univie.ac.at/XML/metadata/extended/V1.0" xmlns:ns3="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/entity" xmlns:ns4="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/requirement" xmlns:ns5="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/educational" xmlns:ns6="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/annotation" xmlns:ns7="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/classification" xmlns:ns8="http://phaidra.univie.ac.at/XML/metadata/lom/V1.0/organization" xmlns:ns9="http://phaidra.univie.ac.at/XML/metadata/histkult/V1.0">
  <ns1:general>
    <ns1:identifier>o:26367</ns1:identifier>
    <ns1:title language="en">Pedagogical perspective onill-defined mathematical problems</ns1:title>
    <ns1:language>en</ns1:language>
    <ns1:description language="en">Abstract: Traditionally teaching mathematics in schools is based primarilyon well-posed problems. Intuitively, there is a clear difference between them and ill-defined problems.  Research in the field of problem-solving is often based on the analysis of procedures for solving incompletely posed problems (i.e.ill-defined problems) because  they  are  expected  to  provide  a  deeper  insight  into mathematical  abilities  as  well  as  the  ability  of  critical  and creative thinking of respondents. However, ill-defined problems are scarcely explored as a main subject of interest. This paper aims  to  investigate  the  place  of  those  types of  problems  in teaching  mathematics.    As  a  context  of  the  investigation,  we consider   various   classifications   of   math   problems.   Three classificationsof  mathematical  problems  with  a  &quot;pedagogical perspective&quot;  are  elected  to  be  analyzed  using  the  theoretical epistemological  method  of  comparative  analysis.  All  three classifications consider the position of participants in problem-solving, teacher  and  students.    As  aresult  of  the  analysis,  we  create a comparison of  the spectrums of problems, particularly paying attention to ill-defined problems in them. The discussion finishes  addressing  the  place  and  purpose  of  using  ill-defined problems in mathematics instructions.</ns1:description>
    <ns1:keyword language="en">Keywords: task classification, problem posing, problem space, (in)completely posed problems</ns1:keyword>
    <ns2:identifiers>
      <ns2:resource>1552099</ns2:resource>
      <ns2:identifier>10.24250/jpe/2/2021/JM/IR</ns2:identifier>
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    <ns2:identifiers>
      <ns2:resource>1552101</ns2:resource>
      <ns2:identifier>1842-077X</ns2:identifier>
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    <ns1:upload_date>2022-09-01T12:08:54.790Z</ns1:upload_date>
    <ns1:status>44</ns1:status>
    <ns2:peer_reviewed>yes</ns2:peer_reviewed>
    <ns1:contribute seq="0">
      <ns1:role>46</ns1:role>
      <ns1:entity seq="0">
        <ns3:firstname>Јасмина</ns3:firstname>
        <ns3:lastname>Милинковић</ns3:lastname>
        <ns3:institution>Учитељски факултет у Београду</ns3:institution>
        <ns3:orcid>0000-0002-2802-849X</ns3:orcid>
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      <ns1:entity seq="1">
        <ns3:firstname>Ивица</ns3:firstname>
        <ns3:lastname>Радовановић</ns3:lastname>
        <ns3:institution>Учитељски факултет у Београду</ns3:institution>
        <ns3:type>person</ns3:type>
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    <ns1:location>https://phaidrabg.bg.ac.rs/o:26367</ns1:location>
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    <ns1:cost>no</ns1:cost>
    <ns1:copyright>yes</ns1:copyright>
    <ns1:license>1</ns1:license>
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    <ns1:purpose>70</ns1:purpose>
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      <ns8:faculty>11A42</ns8:faculty>
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  <ns12:digitalbook>
    <ns12:name_magazine language="en">Journal Plus Education</ns12:name_magazine>
    <ns12:volume>29</ns12:volume>
    <ns12:booklet>2</ns12:booklet>
    <ns12:from_page>256</ns12:from_page>
    <ns12:to_page>271</ns12:to_page>
    <ns12:publisher>&quot;Aurel Vlaicu&quot; University, Arad</ns12:publisher>
    <ns12:releaseyear>2021</ns12:releaseyear>
    <ns12:alephurl>https://www.uav.ro/jour/index.php/jpe/article/view/1665</ns12:alephurl>
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