{"id":426,"date":"2022-03-20T12:47:02","date_gmt":"2022-03-20T09:47:02","guid":{"rendered":"http:\/\/www.math.bas.bg\/omi\/didmod\/?page_id=426"},"modified":"2022-03-20T12:53:16","modified_gmt":"2022-03-20T09:53:16","slug":"vol-7-pp-30-36","status":"publish","type":"page","link":"http:\/\/www.math.bas.bg\/omi\/didmod\/?page_id=426","title":{"rendered":"Vol. 7, pp. 30-36"},"content":{"rendered":"\n

Didactical Modeling<\/a>, Vol. 7<\/a>, pp. 30-36<\/em><\/p>\n\n\n\n

COMPUTER SUPPORTED RECONSIDERATION OF\nCONICS<\/strong><\/h3>\n\n\n\n

Borislav Lazarov1<\/sup>, Dimitar Dimitrov2<\/sup><\/em>
1<\/sup> Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, lazarov@math.bas.bg<\/em>
2<\/sup> 125th High School \u201cBoyan Penev\u201d, Sofia, dimitrov@netbg.com<\/em><\/p>\n\n\n\n

Abstract  <\/h3>\n\n\n\n

Under consideration is a way to present the conics in a dual\nmanner: as loci and envelopes.. A bunch of computer technologies is drawn to\nexplore and investigate this duality of the conics. An example of how it is\ndone for a particular conic is given. The target group includes secondary\nschool students who are advanced in math and information technologies. The\ntheoretical base is an original didactical model for designing individual\neducational trajectories that is adapted for the team-working mode. The\neducational goal includes developing synthetic competence of an entire team.\nThe individual characteristics of the team members complement one another for\nresolving complex problems from the local behavioral environment, which were\nspecifically formed for the purposes of the experimental teaching.<\/p>\n\n\n\n

Keywords: synthetic competence, individual\neducational trajectory, conics, loci, envelopes.<\/p>\n\n\n\n

REFERENCES <\/strong><\/h3>\n\n\n\n[1]     Akulenko,\nI. et al. Current Status and\nProspects of Mathematical Education.<\/em> Eds. prof. N.\nTarasenkova, & L. Kyba. \u2013 Budapest, SCASPEE, 2018. Pages 37-53. <\/p>\n\n\n\n[2]     Dimitrov,\nM., Peeva, G., Stoyanov, B. Conic\nsections as loci of points and boundaries. <\/em>Mathematics,\nIssue 1, 2019, 46-57.<\/p>\n\n\n\n[3]    Lazarov,\nB. Teaching envelopes in\nsecondary school.<\/em> The Teaching of Mathematics, vol. XIV, 1 (2011).\nPages 45-55<\/p>\n\n\n\n[4]    Lazarov,\nB. Paper and Pencil\nversus ICT \u2013 Battlefield Geometry.<\/em> \u0415-learning, distance education or\n… The education of 21st century international conference. Sofia, Bulgaria,\n6-8 April 2011. Conference proceedings. Pages 123-130.<\/p>\n\n\n\n[5]    Lazarov,\nB. Application of some\ncybernetic models in building individual educational trajectory.<\/em> Information Models and Analyses. Vol. 2, No1,\n2013, Pages 90-99.<\/p>\n\n\n\n[6]    Paskaleva,\nZ., Paskalev, G. Mathematics\n8. grade.<\/em> Sofia, Arhimed, 2001, p. 253-256.<\/p>\n\n\n\n[7]    Paskaleva,\nZ., Paskalev, G., Alashka, M. Mathematics\n8. grade.<\/em> Sofia, Arhimed, 2013, p. 188-189.<\/p>\n\n\n\n[8]   Var der Waerden. \u041f\u0440\u043e\u0431\u0443\u0436\u0434\u0430\u0449\u0430 \u0441\u0435 \u043d\u0430\u0443\u043a\u0430.<\/em> Science and Art, Sofia, 1968, p. 300, 330, 331.<\/p>\n\n\n\n
FULL TEXT (In Bulgarian)
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Didactical Modeling, Vol. 7, pp. 30-36 COMPUTER SUPPORTED RECONSIDERATION OF CONICS Borislav Lazarov1, Dimitar Dimitrov21 Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, lazarov@math.bas.bg2 125th High School \u201cBoyan Penev\u201d, Sofia, dimitrov@netbg.com Abstract   Under consideration is a way to present the conics in a dual manner: as loci and envelopes.. A bunch of computer technologies … Continue reading Vol. 7, pp. 30-36<\/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-426","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/426","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=426"}],"version-history":[{"count":2,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/426\/revisions"}],"predecessor-version":[{"id":432,"href":"http:\/\/www.math.bas.bg\/omi\/didmod\/index.php?rest_route=\/wp\/v2\/pages\/426\/revisions\/432"}],"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=426"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}