{"id":73,"date":"2019-02-01T07:27:04","date_gmt":"2019-02-01T07:27:04","guid":{"rendered":"http:\/\/cyprusconferences.org\/enedim8\/?page_id=73"},"modified":"2019-11-06T12:24:15","modified_gmt":"2019-11-06T12:24:15","slug":"invited-speakers","status":"publish","type":"page","link":"https:\/\/cyprusconferences.org\/enedim8\/invited-speakers\/","title":{"rendered":"\u03a0\u03c1\u03bf\u03c3\u03ba\u03b5\u03ba\u03bb\u03b7\u03bc\u03ad\u03bd\u03bf\u03b9 \u0395\u03b9\u03c3\u03b7\u03b3\u03b7\u03c4\u03ad\u03c2"},"content":{"rendered":"<p>[et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;3.19.10&#8243; background_image=&#8221;http:\/\/cyprusconferences.org\/enedim8\/wp-content\/uploads\/2019\/01\/32184070-mathematics-icons-set-like-a-graph-eps10.jpg&#8221; custom_padding=&#8221;54px|0px|109px|0px|false|false&#8221;][\/et_pb_section][et_pb_section fb_built=&#8221;1&#8243; _builder_version=&#8221;3.19.10&#8243;][et_pb_row _builder_version=&#8221;3.19.10&#8243;][et_pb_column type=&#8221;4_4&#8243; _builder_version=&#8221;3.19.10&#8243; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221;][et_pb_text _builder_version=&#8221;3.19.10&#8243;]<\/p>\n<h1>\u03a0\u03c1\u03bf\u03c3\u03ba\u03b5\u03ba\u03bb\u03b7\u03bc\u03ad\u03bd\u03bf\u03b9 \u0395\u03b9\u03c3\u03b7\u03b3\u03b7\u03c4\u03ad\u03c2<\/h1>\n<hr \/>\n<h3><span style=\"color: #993300;\"><\/span><\/h3>\n<h3><span style=\"color: #993300;\"><\/span><\/h3>\n<h3><span style=\"color: #993300;\">\u0395\u03b9\u03c3\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b7\u03bd \u039f\u03bb\u03bf\u03bc\u03ad\u03bb\u03b5\u03b9\u03b1<\/span><\/h3>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;3.19.10&#8243; border_width_bottom=&#8221;1px&#8221;][et_pb_column type=&#8221;1_4&#8243; _builder_version=&#8221;3.19.10&#8243; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221;][et_pb_image src=&#8221;http:\/\/cyprusconferences.org\/enedim8\/wp-content\/uploads\/2019\/02\/paul.jpg&#8221; align=&#8221;center&#8221; force_fullwidth=&#8221;on&#8221; _builder_version=&#8221;3.19.10&#8243; module_alignment=&#8221;center&#8221; custom_margin=&#8221;-1px|3px|17px|0px&#8221;][\/et_pb_image][\/et_pb_column][et_pb_column type=&#8221;3_4&#8243; _builder_version=&#8221;3.19.10&#8243; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221;][et_pb_text _builder_version=&#8221;3.19.10&#8243;]<\/p>\n<h3 style=\"text-align: left;\"><span style=\"color: #993300;\">Paul<\/span><span style=\"color: #993300;\"> D<\/span><span style=\"color: #993300;\">rijvers<\/span><\/h3>\n<p style=\"text-align: left;\">Freudenthal Institute, Utrecht University and HU University of Applied Sciences Utrecht<\/p>\n<p>[\/et_pb_text][et_pb_text _builder_version=&#8221;3.19.10&#8243;]<\/p>\n<p style=\"text-align: justify;\"><strong>Embodied instrumentation: two views on using digital technology in mathematics education<\/strong><\/p>\n<p style=\"text-align: justify;\">Nowadays, the omnipresence of powerful digital mathematical tools raises important questions about their impact on mathematics teaching and learning. These questions concern the curriculum, and the relationship between tool use and learning in particular. To address the latter question, I will first zoom out on some overall views on the didactical functionalities of digital technology in mathematics education, and the effects of using these tools on learning. Next, I will zoom in on two views on this phenomenon in some more detail: (1) the instrumental approach to tool use, and (2) embodied and extended views on cognition. Both will be illustrated by some examples. As a conclusion, I will claim that both an instrumentation and an embodiment view on tool use may contribute to identifying criteria for a meaningful integration of digital tools in mathematics education.<\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][et_pb_row _builder_version=&#8221;3.19.10&#8243; border_width_bottom=&#8221;1px&#8221;][et_pb_column type=&#8221;1_4&#8243; _builder_version=&#8221;3.19.10&#8243; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221;][et_pb_image src=&#8221;http:\/\/cyprusconferences.org\/enedim8\/wp-content\/uploads\/2019\/02\/\u0398\u03b5\u03bf\u03b4\u03cc\u03c3\u03b7\u03c2.jpg&#8221; align=&#8221;center&#8221; force_fullwidth=&#8221;on&#8221; _builder_version=&#8221;3.19.10&#8243;][\/et_pb_image][\/et_pb_column][et_pb_column type=&#8221;3_4&#8243; _builder_version=&#8221;3.19.10&#8243; parallax=&#8221;off&#8221; parallax_method=&#8221;on&#8221;][et_pb_text _builder_version=&#8221;3.19.10&#8243;]<\/p>\n<h3 style=\"text-align: left;\"><span 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_builder_version=&#8221;3.19.10&#8243;]<\/p>\n<h3 style=\"text-align: justify;\"><span style=\"color: #993300;\">\u03a3\u03c4\u03c1\u03bf\u03b3\u03b3\u03c5\u03bb\u03cc \u03a4\u03c1\u03b1\u03c0\u03ad\u03b6\u03b9<\/span><\/h3>\n<p style=\"text-align: justify;\"><span style=\"color: #993300;\"><\/span><\/p>\n<p style=\"text-align: justify;\">\u03a3\u03c5\u03bd\u03c4\u03bf\u03bd\u03b9\u03c3\u03c4\u03ae\u03c2: <span style=\"color: #993300;\">\u0393\u03b9\u03ce\u03c1\u03b3\u03bf\u03c2 \u03a8\u03c5\u03c7\u03ac\u03c1\u03b7\u03c2<\/span>, \u0395\u03b8\u03bd\u03b9\u03ba\u03cc \u03ba\u03b1\u03b9 \u039a\u03b1\u03c0\u03bf\u03b4\u03b9\u03c3\u03c4\u03c1\u03b9\u03b1\u03ba\u03cc \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u0391\u03b8\u03b7\u03bd\u03ce\u03bd<\/p>\n<p style=\"text-align: justify;\"><strong>\u0397 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03ba\u03bb\u03b7\u03c3\u03b7 \u03c3\u03c4\u03b7 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style=\"text-align: justify;\">\u039c\u03b9\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c4\u03b7\u03bd \u03c4\u03ac\u03be\u03b7 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9 \u03c0\u03c1\u03cc\u03ba\u03bb\u03b7\u03c3\u03b7 \u03c3\u03c4\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03ae \u03c4\u03ac\u03be\u03b7 \u03b1\u03bd \u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ad\u03c2 \u03b4\u03b5\u03bd \u03ad\u03c7\u03bf\u03c5\u03bd \u03b5\u03c0\u03af\u03b3\u03bd\u03c9\u03c3\u03b7 \u03ba\u03ac\u03c0\u03bf\u03b9\u03c9\u03bd \u03b1\u03bb\u03b3\u03bf\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ce\u03bd \u2013 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03ae \u03b1\u03bd\u03c4\u03b9\u03bc\u03b5\u03c4\u03ce\u03c0\u03b9\u03c3\u03ae \u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c0\u03ce\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03c0\u03b5\u03bd\u03b4\u03cd\u03c3\u03bf\u03c5\u03bd \u03c3\u03c4\u03bf \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bd\u03bf\u03ae\u03c3\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b5\u03bd\u03b5\u03c1\u03b3\u03b5\u03b9\u03ce\u03bd \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03bf \u03ba\u03b1\u03c4\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd. \u03a3\u03c4\u03b7\u03bd \u03b5\u03b9\u03c3\u03ae\u03b3\u03b7\u03c3\u03b7 \u03b8\u03b1 \u03b1\u03bd\u03b1\u03c6\u03b5\u03c1\u03b8\u03bf\u03cd\u03bd \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03b4\u03c1\u03b1\u03c3\u03c4\u03b7\u03c1\u03b9\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03b1\u03bb\u03bf\u03cd\u03bd \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03bb\u03bf\u03ba\u03ae \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03c4\u03ce\u03bd \u03b5\u03bd\u03b9\u03c3\u03c7\u03cd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03bd\u03bf\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9\/\u03ae \u03c4\u03b7 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b9\u03ba\u03ae \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c3\u03ba\u03ad\u03c8\u03b7.<\/p>\n<p style=\"text-align: justify;\">\u0395\u03b9\u03c3\u03ae\u03b3\u03b7\u03c3\u03b7 2 &#8211; \u039c\u03c0\u03ac\u03bc\u03c0\u03b7\u03c2 \u03a3\u03b1\u03ba\u03bf\u03bd\u03af\u03b4\u03b7\u03c2: <strong><em>\u039a\u03bf\u03b9\u03bd\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2, \u03c0\u03bf\u03bb\u03b9\u03c4\u03b9\u03c3\u03bc\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03bb\u03b9\u03c4\u03b9\u03ba\u03ad\u03c2 \u03cc\u03c8\u03b5\u03b9\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03c1\u03cc\u03ba\u03bb\u03b7\u03c3\u03b7\u03c2 \u03c3\u03c4\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03ae \u03c4\u03ac\u03be\u03b7<\/em><\/strong><\/p>\n<p style=\"text-align: justify;\">\u0397 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03b7\u03c2 \u2018\u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03c1\u03cc\u03ba\u03bb\u03b7\u03c3\u03b7\u03c2\u2019 \u03c3\u03c4\u03b7 \u03c3\u03c7\u03bf\u03bb\u03b9\u03ba\u03ae \u03c4\u03ac\u03be\u03b7 \u03b1\u03c0\u03b1\u03c3\u03c7\u03cc\u03bb\u03b7\u03c3\u03b5 \u03b1\u03c0\u03cc \u03bd\u03c9\u03c1\u03af\u03c2 \u03c4\u03b7\u03c2 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justify;\">\u0395\u03b9\u03c3\u03ae\u03b3\u03b7\u03c3\u03b7 3 &#8211; \u0394\u03ad\u03c3\u03c0\u03bf\u03b9\u03bd\u03b1 \u03a0\u03cc\u03c4\u03b1\u03c1\u03b7: <strong><em>\u0395\u03c0\u03b1\u03b3\u03b3\u03b5\u03bb\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b7 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03ba\u03bb\u03b7\u03c3\u03b7<\/em><\/strong><\/p>\n<p style=\"text-align: justify;\">\u039f \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c0\u03c1\u03cc\u03ba\u03bb\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03b4\u03b1\u03ba\u03c4\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b4\u03b9\u03b1\u03c7\u03b5\u03af\u03c1\u03b9\u03c3\u03b7 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style=\"text-align: justify;\"><span style=\"color: #993300;\"><\/span><\/p>\n<p>[\/et_pb_text][\/et_pb_column][\/et_pb_row][\/et_pb_section]<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u03a0\u03c1\u03bf\u03c3\u03ba\u03b5\u03ba\u03bb\u03b7\u03bc\u03ad\u03bd\u03bf\u03b9 \u0395\u03b9\u03c3\u03b7\u03b3\u03b7\u03c4\u03ad\u03c2 \u0395\u03b9\u03c3\u03b7\u03b3\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b7\u03bd \u039f\u03bb\u03bf\u03bc\u03ad\u03bb\u03b5\u03b9\u03b1Paul Drijvers Freudenthal Institute, Utrecht University and HU University of Applied Sciences UtrechtEmbodied instrumentation: two views on using digital technology in mathematics education Nowadays, the omnipresence of powerful digital mathematical tools raises important questions about their impact on mathematics teaching and learning. These questions concern the curriculum, and the relationship between [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_et_pb_use_builder":"on","_et_pb_old_content":"<!-- wp:divi\/placeholder \/-->","_et_gb_content_width":""},"_links":{"self":[{"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/pages\/73"}],"collection":[{"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/comments?post=73"}],"version-history":[{"count":9,"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/pages\/73\/revisions"}],"predecessor-version":[{"id":385,"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/pages\/73\/revisions\/385"}],"wp:attachment":[{"href":"https:\/\/cyprusconferences.org\/enedim8\/wp-json\/wp\/v2\/media?parent=73"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}