<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>2448-8089</journal-id>
<journal-title><![CDATA[Educación matemática]]></journal-title>
<abbrev-journal-title><![CDATA[Educ. mat.]]></abbrev-journal-title>
<issn>2448-8089</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Investigación y Divulgación de la Educación Matemática A.C.; Universidad de Guadalajara]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S2448-80892018000100009</article-id>
<article-id pub-id-type="doi">10.24844/em3001.01</article-id>
<title-group>
<article-title xml:lang="es"><![CDATA[Teoría y métodos para la investigación de la racionalidad de la práctica en la enseñanza de las matemáticas]]></article-title>
<article-title xml:lang="en"><![CDATA[Theory and methods for research on the practical rationality of mathematics teaching]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[Patricio]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of Michigan  ]]></institution>
<addr-line><![CDATA[Ann Arbor ]]></addr-line>
<country>USA</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2018</year>
</pub-date>
<volume>30</volume>
<numero>1</numero>
<fpage>9</fpage>
<lpage>46</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S2448-80892018000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S2448-80892018000100009&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S2448-80892018000100009&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: Este artículo sintetiza en castellano un programa de investigación en la racionalidad de la práctica de la enseñanza de las matemáticas, partiendo de la problemática de la toma de decisiones en el salón de clases. Se proveen referencias a artículos escritos en inglés durante los pasados 15 años, que dan cuenta de investigaciones en aspectos específicos de aquella racionalidad. Se definen las nociones de transacción de instrucción, situación de instrucción, norma de una situación, y obligación profesional, y luego se describen instrumentos diseñados para medir el grado en el que los maestros reconocen las normas de instrucción y las obligaciones profesionales. Se ilustra cómo funcionan esos constructos mediante el esbozo de algunas preguntas de investigación.]]></p></abstract>
<abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: A program of research on the practical rationality of mathematics teaching is introduced in Spanish, starting from problematizing teachers&#8217; decision making in instruction. References to specific articles covering 15 years of research on the subject are provided. The notions of instructional exchange, instructional situation, situational norm, and professional obligation are introduced, then instruments designed to measure teachers&#8217; recognition of norms and obligations are described, and research questions are proposed.]]></p></abstract>
<kwd-group>
<kwd lng="es"><![CDATA[racionalidad de la práctica]]></kwd>
<kwd lng="es"><![CDATA[situación de instrucción]]></kwd>
<kwd lng="es"><![CDATA[norma de instrucción]]></kwd>
<kwd lng="es"><![CDATA[demostración]]></kwd>
<kwd lng="en"><![CDATA[practical rationality]]></kwd>
<kwd lng="en"><![CDATA[instructional situation]]></kwd>
<kwd lng="en"><![CDATA[instructional norm]]></kwd>
<kwd lng="en"><![CDATA[proof]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Balacheff]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Aspects of Proof in Pupils&#8217; Practice of School Mathematics]]></article-title>
<source><![CDATA[Mathematics, teachers and children]]></source>
<year>1988</year>
<publisher-loc><![CDATA[London ]]></publisher-loc>
<publisher-name><![CDATA[Hodder Stoughton]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B2">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ball]]></surname>
<given-names><![CDATA[D. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Forzani]]></surname>
<given-names><![CDATA[F. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Building a Common Core for learning to teach and connecting professional learning to practice]]></article-title>
<source><![CDATA[American Educator]]></source>
<year>2011</year>
<volume>35</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>17-38-39</page-range></nlm-citation>
</ref>
<ref id="B3">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ball]]></surname>
<given-names><![CDATA[D. L.]]></given-names>
</name>
<name>
<surname><![CDATA[Thames]]></surname>
<given-names><![CDATA[M. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Phelps]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Content Knowledge for Teaching what Makes it Special?]]></article-title>
<source><![CDATA[Journal of Teacher Education]]></source>
<year>2008</year>
<volume>59</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>389-407</page-range></nlm-citation>
</ref>
<ref id="B4">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Boileau]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Dimmel]]></surname>
<given-names><![CDATA[J.K.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P. G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teachers&#8217; Recognition of the Diagrammatic Register and its Relationship with their Mathematical Knowledge for Teaching]]></article-title>
<source><![CDATA[Proceedings of the Thirty-Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education]]></source>
<year>2016</year>
<publisher-loc><![CDATA[Tucson, Arizona ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B5">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Boileau]]></surname>
<given-names><![CDATA[N.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P. G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teachers&#8217; expectations about Geometric Calculations in High School Geometry]]></article-title>
<source><![CDATA[Proceedings of the Thirty-Seventh Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education]]></source>
<year>2015</year>
<publisher-loc><![CDATA[East Lansing, MI. ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B6">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bourdieu]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Logic of Practice]]></source>
<year>1990</year>
<publisher-loc><![CDATA[Stanford, CA ]]></publisher-loc>
<publisher-name><![CDATA[Stanford University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B7">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bourdieu]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Practical Reason: On the Theory of Action]]></source>
<year>1998</year>
<publisher-loc><![CDATA[Stanford, CA ]]></publisher-loc>
<publisher-name><![CDATA[Stanford University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B8">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Brousseau]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<source><![CDATA[Theory of Didactical Situations in Mathematics: Didactique des Mathematiques 1970-1990]]></source>
<year>1997</year>
<publisher-loc><![CDATA[Dordrecht, Netherlands ]]></publisher-loc>
<publisher-name><![CDATA[Kluwer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B9">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bryk]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Gomez]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Grunow]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[LeMahieu]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Learning to Improve: How America&#8217;s Schools Can Get Better at Getting Better]]></source>
<year>2015</year>
<publisher-loc><![CDATA[Cambridge, MA ]]></publisher-loc>
<publisher-name><![CDATA[Harvard]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B10">
<nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bush]]></surname>
<given-names><![CDATA[G. W.]]></given-names>
</name>
</person-group>
<source><![CDATA[No Child Left Behind]]></source>
<year>2002</year>
<page-range>107-10</page-range></nlm-citation>
</ref>
<ref id="B11">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chazan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Animations of Classroom Interaction: Expanding the Boundaries of Video Records of Practice]]></article-title>
<source><![CDATA[Teachers&#8217; College Record]]></source>
<year>2012</year>
<volume>114</volume>
<numero>3</numero>
<issue>3</issue>
</nlm-citation>
</ref>
<ref id="B12">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chazan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Clark]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Research on the Teaching of Mathematics: A Call to Theorize the Role of Society and Schooling in Mathematics]]></article-title>
<source><![CDATA[Handbook of research on teaching]]></source>
<year>2016</year>
<edition>5</edition>
<page-range>1039-97</page-range><publisher-loc><![CDATA[Washington, DC ]]></publisher-loc>
<publisher-name><![CDATA[AERA]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B13">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Chevallard]]></surname>
<given-names><![CDATA[Y.]]></given-names>
</name>
</person-group>
<source><![CDATA[La transposition didactique: Du savoir savant au savoir enseignée]]></source>
<year>1992</year>
<edition>2</edition>
<publisher-loc><![CDATA[Grenoble ]]></publisher-loc>
<publisher-name><![CDATA[La Pensée Sauvage]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B14">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Cohen]]></surname>
<given-names><![CDATA[D. K.]]></given-names>
</name>
<name>
<surname><![CDATA[Raudenbush]]></surname>
<given-names><![CDATA[S. W.]]></given-names>
</name>
<name>
<surname><![CDATA[Ball]]></surname>
<given-names><![CDATA[D. L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Resources, Instruction, and Research]]></article-title>
<source><![CDATA[Educational Evaluation and Policy Analysis]]></source>
<year>2003</year>
<volume>25</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>119-42</page-range></nlm-citation>
</ref>
<ref id="B15">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dimmel]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Secondary Mathematics Teachers&#8217; Expectations of Student Communication Practices when doing Proofs in Geometry]]></article-title>
<source><![CDATA[Teaching and Teacher Education]]></source>
<year>2017</year>
<numero>68</numero>
<issue>68</issue>
<page-range>151-60</page-range></nlm-citation>
</ref>
<ref id="B16">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Dimmel]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[What Details do Teachers Expect from Students&#8217; Proofs? A study of routines for checking proofs]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>2018</year>
<volume>49</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>261-91</page-range></nlm-citation>
</ref>
<ref id="B17">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Doxiadis]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Papadimitriou]]></surname>
<given-names><![CDATA[C. H.]]></given-names>
</name>
<name>
<surname><![CDATA[Papadatos]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Di Donna]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<source><![CDATA[Logicomix: An Epic Search for Truth]]></source>
<year>2010</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Bloomsbury]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Erickson]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Will Teachers Create Opportunities for Discussion when Teaching Proof in a Geometry Classroom?]]></article-title>
<source><![CDATA[International Journal of Mathematics and Science Education]]></source>
<year>2016</year>
</nlm-citation>
</ref>
<ref id="B19">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Goffman]]></surname>
<given-names><![CDATA[E.]]></given-names>
</name>
</person-group>
<source><![CDATA[Frame Analysis: An Essay on the Organization of Experience]]></source>
<year>1974</year>
<publisher-loc><![CDATA[Boston ]]></publisher-loc>
<publisher-name><![CDATA[Northeastern University Press]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Using Novel Tasks to Teach Mathematics: Three Tensions Affecting the Work of the Teacher]]></article-title>
<source><![CDATA[American Educational Research Journal]]></source>
<year>2003</year>
<numero>40</numero>
<issue>40</issue>
<page-range>197-238</page-range></nlm-citation>
</ref>
<ref id="B21">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Knowing About &#8220;Equal Area&#8221; While Proving a Claim about Equal Areas]]></article-title>
<source><![CDATA[Recherches en Didactique des Mathématiques]]></source>
<year>2005</year>
<numero>25</numero>
<issue>25</issue>
<page-range>11-56</page-range></nlm-citation>
</ref>
<ref id="B22">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teaching Geometry with Problems: Negotiating Instructional Situations and Mathematical Tasks]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>2006</year>
<numero>37</numero>
<issue>37</issue>
<page-range>313-47</page-range></nlm-citation>
</ref>
<ref id="B23">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Aaron]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Chieu]]></surname>
<given-names><![CDATA[V. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[LessonSketch: An Environment for Teachers to Examine Mathematical Practice and Learn about its Standards]]></article-title>
<source><![CDATA[Common Core Mathematics Standards and Implementing Digital Technologies]]></source>
<year>2013</year>
<page-range>281-94</page-range><publisher-loc><![CDATA[Hershey, PA ]]></publisher-loc>
<publisher-name><![CDATA[IGI Global]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B24">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Chazan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the Instructional Triangle and Sources of Justification for Actions in Mathematics Teaching]]></article-title>
<source><![CDATA[ZDM The International Journal of Mathematics Education]]></source>
<year>2012</year>
<volume>44</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>601-12</page-range></nlm-citation>
</ref>
<ref id="B25">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Chazan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Using Multimedia Scenarios Delivered Online to Study Professional Knowledge Use in Practice]]></article-title>
<source><![CDATA[International Journal of Research and Method in Education]]></source>
<year>2015</year>
<volume>38</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>272-87</page-range></nlm-citation>
</ref>
<ref id="B26">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Chazan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
<name>
<surname><![CDATA[Kosko]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Dimmel]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Erickson]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Using Multimedia Questionnaires to Study Influences on the Decisions Mathematics Teachers Make in Instructional Situations]]></article-title>
<source><![CDATA[ZDM The International Journal of Mathematics Education]]></source>
<year>2016</year>
<numero>48</numero>
<issue>48</issue>
<page-range>167-83</page-range></nlm-citation>
</ref>
<ref id="B27">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Weiss]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[González]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
<name>
<surname><![CDATA[with Nachlieli]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Hamlin]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Brach]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<source><![CDATA[Teaching and Learning of Proof across the Grades: A K-16 Perspective]]></source>
<year>2009</year>
<page-range>250-68</page-range><publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Routledge]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B28">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Dimmel]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Erickson]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Ko]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
<name>
<surname><![CDATA[Kosko]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Mathematics Teachers&#8217; Recognition of an Obligation to the Discipline and its Role in the Justification of Instructional Actions]]></article-title>
<source><![CDATA[Proceedings of the 38th annual meeting of the International Group for the Psychology of Mathematics Education and the 36th annual meeting of the North American Chapter of PME]]></source>
<year>2014</year>
<volume>3</volume>
<page-range>273-80</page-range><publisher-loc><![CDATA[Vancouver, Canada ]]></publisher-loc>
<publisher-name><![CDATA[Simon Fraser University]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B29">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Kosko]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Mathematical Knowledge for Teaching and its Specificity to High School Geometry Instruction]]></article-title>
<source><![CDATA[Research Trends in Mathematics Teacher Education]]></source>
<year>2014</year>
<page-range>23-45</page-range><publisher-loc><![CDATA[New York, NY ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B30">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Kosko]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Using Representations of Practice to Elicit Mathematics Teachers&#8217; Tacit Knowledge of Practice: A Comparison of Responses to Animations and Videos]]></article-title>
<source><![CDATA[Journal of Mathematics Teacher Education]]></source>
<year>2014</year>
<volume>17</volume>
<numero>6</numero>
<issue>6</issue>
<page-range>515-37</page-range></nlm-citation>
</ref>
<ref id="B31">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Kosko]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
<name>
<surname><![CDATA[Dimmel]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[How are Geometric Proof Problems Presented? Conceptualizing and Measuring Teachers&#8217; Recognition of the Diagrammatic Register]]></article-title>
<source><![CDATA[Proceedings of the 35th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education]]></source>
<year>2013</year>
<page-range>179-86</page-range><publisher-loc><![CDATA[Chicago, IL ]]></publisher-loc>
<publisher-name><![CDATA[University of Illinois at Chicago]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B32">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Nachlieli]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Chazan]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Studying the Practical Rationality of Mathematics Teaching: What Goes into &#8220;Installing&#8221; a Theorem in Geometry?]]></article-title>
<source><![CDATA[Cognition and Instruction]]></source>
<year>2011</year>
<volume>29</volume>
<numero>2</numero>
<issue>2</issue>
<page-range>218-55</page-range></nlm-citation>
</ref>
<ref id="B33">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Hsu]]></surname>
<given-names><![CDATA[H. Y.]]></given-names>
</name>
<name>
<surname><![CDATA[Silver]]></surname>
<given-names><![CDATA[E. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Cognitive Complexity of Mathematics Instructional Tasks in a Taiwanese Classroom: An Examination of Task Sources]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>2014</year>
<volume>45</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>460-96</page-range></nlm-citation>
</ref>
<ref id="B34">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kilpatrick]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Review: Apples and Oranges Again: Reviewed Works: The IEA Study of Mathematics I: Analysis of Mathematics Curricula by Kenneth J. Travers &amp; Ian Westbury; The IEA Study of Mathematics II: Contexts and Outcomes of School Mathematics by David F. Robitaille &amp; Robert A. Garden]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>1990</year>
<volume>21</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>416-24</page-range></nlm-citation>
</ref>
<ref id="B35">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Manders]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The Euclidean Diagram]]></article-title>
<source><![CDATA[The Philosophy of Mathematical Practice]]></source>
<year>2008</year>
<page-range>80-133</page-range><publisher-loc><![CDATA[Oxford ]]></publisher-loc>
<publisher-name><![CDATA[OUP]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B36">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mehan]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Wood]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Reality of Ethnomethodology]]></source>
<year>1975</year>
<publisher-loc><![CDATA[Malabar, FL ]]></publisher-loc>
<publisher-name><![CDATA[Krieger]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B37">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Nachlieli]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[González,]]></surname>
<given-names><![CDATA[G.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Seeing a Colleague Encourage a Student to Make an Assumption While Proving: What Teachers Put to Play in Casting an Episode of Geometry Instruction]]></article-title>
<source><![CDATA[Journal for Research in Mathematics Education]]></source>
<year>2009</year>
<volume>40</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>427-59</page-range></nlm-citation>
</ref>
<ref id="B38">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ottaviani]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<name>
<surname><![CDATA[Purvis]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Imitation Game: Alan Turing decoded]]></source>
<year>2016</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Abrams]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B39">
<nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Weiss]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Teachers&#8217; Perspectives on &#8220;Authentic Mathematics&#8221; and the Two-column Proof Form]]></article-title>
<source><![CDATA[Educational Studies in Mathematics]]></source>
<year>2009</year>
<volume>70</volume>
<numero>3</numero>
<issue>3</issue>
<page-range>275-93</page-range></nlm-citation>
</ref>
<ref id="B40">
<nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zazkis]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Herbst]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<source><![CDATA[Scripting Approaches in Mathematics Education: Mathematical Dialogues in Research and Practice]]></source>
<year>2018</year>
<publisher-loc><![CDATA[New York ]]></publisher-loc>
<publisher-name><![CDATA[Springer]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
