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        <title>The Significance of Advanced Mathematics in Secondary and Higher Education</title>
        <author>Bhasin</author>
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          <title>The Significance of Advanced Mathematics in Secondary and Higher Education</title>
          <date>2023</date>
          <publisher>European Economic Letters (EEL)</publisher>
          <idno type="DOI">10.52783/eel.v13i3.493</idno>
          
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          <note type="rights">not-redistributable</note>
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      <textClass><keywords><term>education</term></keywords></textClass>
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              who="build_paper_edition.py">0 spans located by searching the stored text for the quote's exact words, allowing any whitespace between them</change>
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      <span xml:id="t0" type="claim_type" ana="#claim_type" resp="#paper">
        <label>existence</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>benefits of advanced mathematics education</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t2" type="method" ana="#method" resp="#paper">
        <label>review</label>
        <term>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="mechanisms" ana="#mechanisms[0]" resp="#tagger">
        <label>mechanisms</label>
        <term>Working through complex problems forces decomposition and strategy-building, and this reasoning process is what drives the cognitive and brain development the paper claims</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t4" type="mechanisms" ana="#mechanisms[1]" resp="#tagger">
        <label>mechanisms</label>
        <term>Girls withhold questions out of shyness, unresolved doubts accumulate, they infer they cannot understand mathematics, and confidence falls</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>The paper&#x27;s central term is never defined, only exemplified by naming school subjects, so every conclusion about it is a conclusion about whichever courses carry those names.</label>
        <note>what this limits: any claim in this paper about &#x27;advanced mathematics&#x27;: the term is never defined, and the closest the paper comes is naming calculus, linear algebra and statistics as its content</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t6" type="limitations" ana="#limitations[1]" resp="#tagger" cert="1.0">
        <label>Three results on the same question, by the same author, point in different directions and are printed one after another without being reconciled.</label>
        <note>what this limits: the direction of the gender difference reported here: within one paragraph boys&#x27; mean scores are said to surpass girls&#x27; (Mansory, 2010) and girls are said to perform generally better (Mansory, 2007), with no reconciliation offered</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>The mechanisms offered for the parental-background findings are the paper&#x27;s own speculation, marked as such by its hedges, and are stated in the same breath as the findings.</label>
        <note>what this limits: the parental-background explanations: the paper attributes better arithmetic to shopkeeper fathers &#x27;potentially due to practical learning experiences&#x27; and lower achievement to educated fathers &#x27;possibly due to&#x27; busy schedules -- both hedged, neither tested</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>The whole of the paper&#x27;s stated method is that it delves into the advantages; no search, no inclusion criteria and no data are described.</label>
        <note>what this limits: this paper as a review: its only statement of what was done is that it delves into the advantages of learning advanced mathematics, with no search or selection criteria given</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>advanced mathematics</label>
        <term>advanced mathematics</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t10" type="concepts" ana="#concepts[1]" resp="#paper">
        <label>quantitative literacy</label>
        <term>quantitative literacy</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>mathematical achievement</label>
        <term>mathematical achievement</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>self-confidence</label>
        <term>self-confidence</term>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>advanced mathematics - NEVER DEFINED, ONLY EXEMPLIFIED: given as the content of calculus, linear algebra and statistics rather than by any property that would decide a borderline case</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t14" type="senses" ana="#senses[1]" resp="#tagger" cert="1.0">
        <label>mathematical achievement vs confidence - STATED TO COME APART: girls report lower confidence while the paper reports no substantial gender difference in achievement itself</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t15" type="senses" ana="#senses[2]" resp="#tagger" cert="1.0">
        <label>self-confidence - BOUNDED ON BOTH SIDES: too little is treated as a barrier and too much as its own difficulty, so the paper does not treat more confidence as simply better</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t16" type="claim_relations" ana="#claim_relations[0]" resp="#tagger" cert="0.9">
        <label>qualifies → Dweck (2000)</label>
        <note>differs in: WHETHER MORE CONFIDENCE IS ALWAYS BETTER. The paper treats low confidence as a barrier and then bounds the other end: &#x27;Quotation withheld, as overly confident students may struggle when confronted with difficult situations.&#x27; A variable bounded on both sides has no direction of improvement, so an intervention that raises it cannot be evaluated without knowing where a learner started</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t17" type="claim_relations" ana="#claim_relations[1]" resp="#tagger" cert="0.9">
        <label>builds-on → Gray (1996)</label>
        <note>differs in: THE POPULATION THE FINDING IS SCOPED TO, WHICH THE SENTENCE STATES TWICE. &#x27;Research in the US shows that students who receive parental support in mathematical activities perform better, irrespective of gender&#x27; - a country in the subject and a gender-independence claim in the predicate. Both are conditions of the result and both are the kind of clause a downstream citation drops</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t18" type="claim_relations" ana="#claim_relations[2]" resp="#tagger" cert="0.9">
        <label>qualifies → Mushtaq (2013)</label>
        <note>differs in: WHERE THE QUESTION IS ASKED. Immediately after the gender-independent US result: &#x27;However, in certain societies such as Afghanistan, girls&#x27; math performance can be affected by multiple factors, including parental background and encouragement, CULTURAL IMPACTS, socioeconomic circumstances, and self-assurance.&#x27; The same question about the same relation gets different answers in two countries, and the two sentences sit adjacent with only a &#x27;however&#x27; between them</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>self-confidence —distinct-from→ mathematical achievement</label>
        <term>self-confidence</term>
        <term>mathematical achievement</term>
        <note>strength of the relation: 1
Audit 2026-09-28: DOUBTFUL - read against its full span and kept, but the span writes &#x27;confidence in their mathematical aptitude&#x27;, not &#x27;self-confidence&#x27;.</note>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>The article concludes that studying higher-level mathematics brings advantages reaching far beyond mathematics itself.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>It claims that advanced mathematics works by forcing students into critical, abstract and logical thinking.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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      <span xml:id="t22" type="content_tags" ana="#content_tags.findings[2]" resp="#tagger">
        <label>It reports that young women show lower confidence in their mathematical ability than young men even where achievement does not differ by gender.</label>
        <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.findings[3]" resp="#tagger">
        <label>It reports that collaborative activities are more beneficial for female students.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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        <label>It reports that parental support in mathematical activity is associated with better student performance regardless of gender.</label>
        <note type="quotation-withheld">Quotation withheld because this record is not cleared for redistribution.</note>
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