{"id":412,"date":"2022-03-20T12:28:09","date_gmt":"2022-03-20T09:28:09","guid":{"rendered":"http:\/\/www.math.bas.bg\/omi\/didmod\/?page_id=412"},"modified":"2022-03-20T15:16:34","modified_gmt":"2022-03-20T12:16:34","slug":"vol-7-pp-1-20","status":"publish","type":"page","link":"http:\/\/www.math.bas.bg\/omi\/didmod\/?page_id=412","title":{"rendered":"Vol. 7, pp. 1-20"},"content":{"rendered":"\n

Didactical Modeling<\/a>, Vol. 7<\/a>, pp. 1-20<\/em><\/p>\n\n\n\n

ON THE\nTRANSFERABILITY OF MATHEMATICAL KNOWLEDGE AND SKILLS IN THE CONTEXT OF THE\nINTERNATIONAL ASSESSMENT PROGRAMS FOR MATHEMATICAL ACHIEVEMENTS<\/strong><\/h3>\n\n\n\n

Borislav Lazarov<\/em>
\u00a0Institute of Mathematics and Informatics, Bulgarian Academy of Sciences<\/em>
lazarov@math.bas.bg<\/em><\/p>\n\n\n\n

Abstract  <\/h3>\n\n\n\n

The study presents the author\u2019s viewpoint on the possibility\nto evaluate adequately the students\u2019 knowledge and skills in mathematics via\nthe PISA and TIMSS assessment procedures. A comparative study of the constructs\nkey-competences, mathematical literacy and numeracy, adopted by the Bulgarian\nlegislation, OECD and the International Association for the Evaluation of\nEducational Achievement, respectively, is done. Two examples illustrates the\nconceptual differences between the math style that takes place in the Bulgarian\nsecondary school and the one adopted by PISA&TIMSS. An ontological distance\nis designed to evaluate these differences in a quantative way. <\/p>\n\n\n\n

Keywords: assessment of math\nknowledge-skills-attitude, transferability of math knowledgeskills-attitude,\nsynthetic competence<\/p>\n\n\n\n

REFERENCES <\/strong><\/h3>\n\n\n\n[1] Bankov, K. The Mathematics Education is in Deep Crisis. Didactical Modeling, vol. 5, 1-8. [in Bulgarian] <\/p>\n\n\n\n[2]     Bloom,\nBenjamin S. Taxonomy of\nEducational Objectives.<\/em> Allyn and Bacon, Boston, MA.<\/p>\n\n\n\n[3]    European\nCommission. Recommendation of\nthe European Parliament and of the Council of 18 December 2006, on key\ncompetences for lifelong learning.<\/em> Official Journal\nof the European Union, (2006\/962\/EC) L 394.<\/p>\n\n\n\n[4]    Ganchev, I. and Kuchinov,Y. Organization and Methodic of the Math Lesson.<\/em> Modul, Sofia, 1996.<\/p>\n\n\n\n[5]    Gr\u00f8nmo,\nL., Lindquist, M., Arora, A. and Mullis, I. TIMSS 2015 Mathematics Framework.<\/em> International Association for the Evaluation of\nEducational Achievement. TIMSS & PIRLS International Study Center, Lynch\nSchool of Education, Boston College.<\/p>\n\n\n\n[6]    Lave,\nJ. Cognition in\npractice: Mind, mathematics, and culture in everyday life.<\/em>\nCambridge, UK: Cambridge University Press.<\/p>\n\n\n\n[7]    Lazarov,\nB. Three Problem Areas\nof the Educational Environment.<\/em> Didactical Modeling, vol. 2, 1-5.<\/p>\n\n\n\n[8]    Lazarov,\nB. Application of some\ncybernetic models in building individual educational trajectory.<\/em>\nInformation Models and Analyses. Vol. 2, No 1, 90-99.<\/p>\n\n\n\n[9]    Lazarov,\nB. Decontextualization.\nMathematics and Education in Mathematics.<\/em> Proceedings of the Forty\nThird Spring Conference of the Union of Bulgarian Mathematicians, Borovetz,\nApril 2\u20136, 2014, 67-76 [in Bulgarian]\n\n\n\n[10]  Milev,\nA., Nikolov, B. and Bratkov, Y. Dictionary\nof foreign words in Bulgarian language.<\/em> Nauka i\nizkustvo, Sofia. [in Bulgarian]\n\n\n\n[11]  Ministry\nof Education and Science. Regulation\nNo 5 of 30.11.2015 for the general education.<\/em> Darzhaven Vestnik, I.\n95 of 08.12.2015. [in Bulgarian]\n\n\n\n[12]  Ministry\nof Education and Science. Regulation\nNo 11 of 01.09.2016 for the assessment of the outcomes of the education.<\/em>\nDarzhaven Vestnik, I. 74 of 20.09.2016. [in Bulgarian]\n\n\n\n[13]  Organisation\nfor Economic Co-operation and Development. Pisa 2021 Mathematics Framework (First Draft)<\/em>.\n45th meeting of the PISA Governing Board, 23-25 April 2018, Stockholm, Sweden.<\/p>\n\n\n\n[14]  Schoenfeld, A. Toward a theory of teaching-in-context. Issues in Education, Vol. 4, No 1, 1-94.<\/p>\n\n\n\n
FULL TEXT (In Bulgarian)
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Didactical Modeling, Vol. 7, pp. 1-20 ON THE TRANSFERABILITY OF MATHEMATICAL KNOWLEDGE AND SKILLS IN THE CONTEXT OF THE INTERNATIONAL ASSESSMENT PROGRAMS FOR MATHEMATICAL ACHIEVEMENTS Borislav Lazarov\u00a0Institute of Mathematics and Informatics, Bulgarian Academy of Scienceslazarov@math.bas.bg Abstract   The study presents the author\u2019s viewpoint on the possibility to evaluate adequately the students\u2019 knowledge and skills in … Continue reading Vol. 7, pp. 1-20<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":243,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-412","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/412","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=412"}],"version-history":[{"count":14,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/412\/revisions"}],"predecessor-version":[{"id":506,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/412\/revisions\/506"}],"up":[{"embeddable":true,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/243"}],"wp:attachment":[{"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=412"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}