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        <title>Mathematical Representation and Quotation withheld</title>
        <author>Asha K. Jitendra</author>
        <author>et al.</author>
      </titleStmt>
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        <p>Tag layer of the DHSS Meta-Tagging Project. The article text is reproduced from the
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        <bibl>
          <title>Mathematical Representation and Quotation withheld</title>
          <date>2016</date>
          <publisher>Exceptional Children</publisher>
          <idno type="DOI">10.1177/0014402915625062</idno>
          
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          <note type="rights">personal-copy</note>
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        <person xml:id="paper"><p>the paper's own words</p></person>
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        <label>method</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t1" type="phenomenon" ana="#phenomenon" resp="#paper">
        <label>mathematical problem representation instruction</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t2" type="method" ana="#method" resp="#paper">
        <label>systematic-review</label>
        <term>systematic-review</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t3" type="limitations" ana="#limitations[0]" resp="#tagger">
        <label>some methodological quality components were unmet across the reviewed studies, to be addressed by future research</label>
        <note>what this limits: the strength of the review&#x27;s conclusions: FUTURE RESEARCHERS [must] ADDRESS THE COMPONENTS THAT DID NOT MEET THE MINIMUM REQUIREMENTS OR WERE FREQUENTLY UNMET</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t4" type="limitations" ana="#limitations[1]" resp="#tagger">
        <label>Representations were bundled into multicomponent interventions, so their independent contribution cannot be isolated.</label>
        <note>what this limits: any claim about representations specifically: THE MAJORITY OF STUDIES INCLUDED REPRESENTATIONS AS PART OF MULTICOMPONENT INTERVENTIONS, MAKING IT DIFFICULT TO DETERMINE THE INFLUENCE OF REPRESENTATIONS</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t5" type="limitations" ana="#limitations[2]" resp="#tagger">
        <label>Which intervention element drove the outcomes is unknown because elements varied across studies.</label>
        <note>what this limits: any attribution of the outcome to a particular element: IT IS NOT CLEAR WHICH ELEMENT OR COMBINATION OF ELEMENTS WAS RELATED TO THE OUTCOME</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t6" type="limitations" ana="#limitations[3]" resp="#tagger">
        <label>The conditions under which the practice works were not established.</label>
        <note>what this limits: any implementation guidance: THE CONDITIONS UNDER WHICH THE PRACTICE OF REPRESENTING PROBLEMS IS EFFECTIVE WAS ALSO NOT CLEAR</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t7" type="transfers" ana="#transfers[0]" resp="#tagger">
        <label>schema-based instruction and mathematical representations grounded in cognitive-load theory, applied to teaching students with learning difficulties</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t8" type="controls" ana="#controls[0]" resp="#tagger" cert="0.85">
        <label>a fixed 25th-percentile cutoff for at-risk status, with studies using a higher cutoff excluded and mixed samples required to disaggregate or be majority LD/at-risk</label>
        <note>eliminates: that the pooled effect is diluted by studies counting higher-attaining children as at risk - the cutoff is fixed to the published convention rather than to what each study chose · outcome (stated by the tagger, no quotation): held</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t9" type="concepts" ana="#concepts[7]" resp="#paper" cert="0.95">
        <label>quality indicators</label>
        <term>quality indicators</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t10" type="concepts" ana="#concepts[8]" resp="#paper" cert="0.95">
        <label>evidence-based practices</label>
        <term>evidence-based practices</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t11" type="concepts" ana="#concepts[9]" resp="#paper" cert="0.95">
        <label>representation</label>
        <term>representation</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t12" type="senses" ana="#senses[0]" resp="#tagger" cert="0.95">
        <label>A LITERATURE GRADED AGAINST A PUBLISHED CHECKLIST, AND THE ATTRITION IS ITEMISED RATHER THAN SCORED. 25 studies reviewed; `Thirteen of the 25 studies provided strong evidence of rigorous research across the four categories of the essential QIs`; and `Quotation withheld.` **25 to 13 to 8**, with each drop attributable to a named criterion rather than to a composite score. That is the `tool must be checkable` principle applied to a whole field: external criteria, per-criterion grading, failures named</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t13" type="senses" ana="#senses[1]" resp="#tagger" cert="0.95">
        <label>AND THE MISSING INDICATORS ARE NAMED ONE BY ONE, WHICH IS WHAT MAKES THE REVIEW ACTIONABLE: one study `failed to provide sufficient information on teachers delivering the intervention`; of the eight high-quality studies `only five ... also documented that data collectors were blind to conditions`; only one `provided information on the quality of implementation`; and `Quotation withheld` - a zero across all 25. A reviewer reading this knows exactly what the next study should add, which a quality SCORE would not have told them</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t14" type="senses" ana="#senses[2]" resp="#tagger" cert="0.95">
        <label>THE VERDICT IS EXPLICITLY RELATIVE TO ITS CRITERIA: `Quotation withheld.` The qualifier is inside the claim. `Evidence-based` is not asserted as a property of the practice but as the output of a named, published standard - so a reader who rejects the standard knows exactly what they are rejecting, and a different standard could give a different answer without either party being wrong about the studies</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t15" type="claim_relations" ana="#claim_relations[0]" resp="#tagger">
        <label>builds-on → Gersten et al. (2005) evidence-based-practice criteria</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t16" type="claim_relations" ana="#claim_relations[1]" resp="#tagger">
        <label>builds-on → Gersten et al. (2005) quality indicators for group research</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t17" type="claim_relations" ana="#claim_relations[2]" resp="#tagger">
        <label>replicates → Gersten, Beckmann et al. (2009); Gersten, Chard et al. (2009)</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t18" type="content_tags" ana="#content_tags.quantities[0]" resp="#tagger">
        <label>0.46 — effect size for teacher and student use of visual representations</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t19" type="content_tags" ana="#content_tags.findings[1]" resp="#tagger">
        <label>Use of visual representations yielded an effect size of 0.46 for teachers and students.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t20" type="content_tags" ana="#content_tags.variables[1]" resp="#tagger">
        <label>mathematics achievement</label>
        <term>mathematics achievement</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t21" type="content_tags" ana="#content_tags.definitions[2]" resp="#tagger">
        <label>learning disabilities</label>
        <term>learning disabilities</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
      </span>
      <span xml:id="t22" type="content_tags" ana="#content_tags.definitions[3]" resp="#tagger">
        <label>mathematics difficulties</label>
        <term>mathematics difficulties</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t23" type="content_tags" ana="#content_tags.statistics[0]" resp="#tagger">
        <label>confidence-interval</label>
        <term>confidence-interval</term>
        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t24" type="content_tags" ana="#content_tags.statistics[2]" resp="#tagger">
        <label>effect-size</label>
        <term>effect-size</term>
        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t25" type="content_tags" ana="#content_tags.statistics[3]" resp="#tagger">
        <label>mean</label>
        <term>mean</term>
        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t26" type="content_tags" ana="#content_tags.statistics[4]" resp="#tagger">
        <label>sample-size</label>
        <term>sample-size</term>
        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <note>about this quote: QUOTE RECOVERED FROM THE PAPER&#x27;S OWN CHARACTERS. The recorded quote was LETTERS-ONLY IDENTICAL to this stretch of the staged text but not an exact substring of it - spaces, hyphens, ligature glyphs or mathematical operators differed, so it could never anchor. This is the file&#x27;s own text between the same two letters: not produced by a rule about the damage, copied out of the file. Round-trip checked (the recovered span is letters-only equal to the original) and length-checked. The text as originally recorded is kept in evidence as extracted.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <p><note type="rights">The full text of this article is not redistributable, so it is
      not included here. The evidence sentences are withheld with it; the tag layer and its
      grounding status remain. The article itself is at https://doi.org/10.1177/0014402915625062.</note></p>
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