{"id":1310,"date":"2024-04-13T07:13:56","date_gmt":"2024-04-13T07:13:56","guid":{"rendered":"https:\/\/pf-yb.com\/?p=1310"},"modified":"2024-04-22T05:50:16","modified_gmt":"2024-04-22T05:50:16","slug":"%d0%b4%d0%b5%d0%b9%d0%bd%d0%be%d1%81%d1%82%d0%bd%d0%b8%d1%8f%d1%82-%d0%bf%d0%be%d0%b4%d1%85%d0%be%d0%b4-%d0%bf%d1%80%d0%b8-%d0%b8%d0%b7%d0%b3%d1%80%d0%b0%d0%b6%d0%b4%d0%b0%d0%bd%d0%b5-%d0%bd%d0%b0","status":"publish","type":"post","link":"https:\/\/pf-yb.com\/bg\/blog\/2024\/04\/13\/%d0%b4%d0%b5%d0%b9%d0%bd%d0%be%d1%81%d1%82%d0%bd%d0%b8%d1%8f%d1%82-%d0%bf%d0%be%d0%b4%d1%85%d0%be%d0%b4-%d0%bf%d1%80%d0%b8-%d0%b8%d0%b7%d0%b3%d1%80%d0%b0%d0%b6%d0%b4%d0%b0%d0%bd%d0%b5-%d0%bd%d0%b0\/","title":{"rendered":"\u0414\u0415\u0419\u041d\u041e\u0421\u0422\u041d\u0418\u042f\u0422 \u041f\u041e\u0414\u0425\u041e\u0414 \u041f\u0420\u0418 \u0418\u0417\u0413\u0420\u0410\u0416\u0414\u0410\u041d\u0415 \u041d\u0410 \u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u0427\u0415\u0421\u041a\u0418 \u041f\u0420\u0415\u0414\u0421\u0422\u0410\u0412\u0418 \u0417\u0410 \u0412\u0415\u041b\u0418\u0427\u0418\u041d\u0410\u0422\u0410 \u0414\u042a\u041b\u0416\u0418\u041d\u0410 \u0418 \u041d\u0415\u0419\u041d\u041e\u0422\u041e \u0418\u0417\u041c\u0415\u0420\u0412\u0410\u041d\u0415 \u0412 \u041f\u0420\u0415\u0414\u0423\u0427\u0418\u041b\u0418\u0429\u041d\u041e\u0422\u041e \u041e\u0411\u0420\u0410\u0417\u041e\u0412\u0410\u041d\u0418\u0415 \u041c\u0430\u0440\u0438\u044f \u041f\u0435\u0442\u0440\u043e\u0432\u0430 \u0422\u0435\u043c\u043d\u0438\u043a\u043e\u0432\u0430 ACTIVITY APPROACH FOR DEVELOPMENT OF MATHEMATICAL UNDERSTANDING OF THE QUANTITY LENGTH AND ITS MEASURING IN THE PRE-SCHOOL EDUCATION Maria Petrova Temnikova"},"content":{"rendered":"

Abstract.<\/strong> Digitalization of the Bulgarian society over the recent years changed the educational environment where the education in mathematics in pre-school takes place. To achieve its goals and tasks, teachers must use in their methodological system of work information-communication technologies and create conditions for performance of practical activities in which the children actively participate.<\/p>\n

Systematized and analyzed theoretical concepts from the areas of psychology and pedagogy are presented in the article as well as the methodology for teaching mathematics related to the theory of activity. Based on this, a new methodological system of work was developed and practically tested. The aim of the research work was to analyze different aspects of its application in the pedagogical interrelations during mathematical classes as part of the pre-school education for development of knowledge, skills, general competences and competencies related to the quantity length and its measuring using the activity approach.<\/p>\n

\u041a\u043b\u044e\u0447\u043e\u0432\u0438 \u0434\u0443\u043c\u0438:<\/strong> activity approach, the quantity of length, measuring<\/p>\n

\"\"4. M. Temnikova<\/a><\/p>\n

\n

\u041b\u0418\u0422\u0415\u0420\u0410\u0422\u0423\u0420\u0410<\/strong><\/p>\n

\u0414\u0438\u043c\u0438\u0442\u0440\u043e\u0432, \u041c. (2020)<\/strong>. \u041c\u0443\u0437\u0438\u043a\u0430\u043b\u043d\u043e-\u043a\u043e\u043c\u043f\u044e\u0442\u044a\u0440\u043d\u0438\u0442\u0435 \u0442\u0435\u0445\u043d\u043e\u043b\u043e\u0433\u0438\u0438 \u0432 \u043f\u0440\u043e\u0444\u0435\u0441\u0438\u043e\u043d\u0430\u043b\u043d\u0430\u0442\u0430 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442 \u043d\u0430 \u043f\u0435\u0434\u0430\u0433\u043e\u0433\u0430.<\/em> \u0421\u0442\u0430\u0440\u0430 \u0417\u0430\u0433\u043e\u0440\u0430: \u041a\u043e\u0442\u0430, ISBN: 978-954-305-537-1.<\/p>\n

\u041b\u0435\u043e\u043d\u0442\u0438\u0435\u0432, \u0410. (1978)<\/strong>. \u0414\u0435\u0439\u043d\u043e\u0441\u0442, \u0441\u044a\u0437\u043d\u0430\u043d\u0438\u0435, \u043b\u0438\u0447\u043d\u043e\u0441\u0442.<\/em> \u0421\u043e\u0444\u0438\u044f: \u041f\u0430\u0440\u0442\u0438\u0437\u0434\u0430\u0442.<\/p>\n

\u041d\u0430\u0440\u0435\u0434\u0431\u0430 \u2116 5<\/em><\/strong> \u043e\u0442 03.06.2016 \u0433. \u0437\u0430 \u043f\u0440\u0435\u0434\u0443\u0447\u0438\u043b\u0438\u0449\u043d\u043e\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u2013 \u0414\u0412, \u0431\u0440. 46 \u043e\u0442 17.06.2016 \u0433., \u0432 \u0441\u0438\u043b\u0430 \u043e\u0442 01.08.2016 \u0433., \u0438\u0437\u0434. \u043e\u0442 \u043c\u0438\u043d\u0438\u0441\u0442\u044a\u0440\u0430 \u043d\u0430 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u0442\u043e \u0438 \u043d\u0430\u0443\u043a\u0430\u0442\u0430.<\/p>\n

\u041f\u0435\u0442\u043a\u043e\u0432\u0430, \u0414. (2017)<\/strong>. \u0414\u0438\u0433\u0438\u0442\u0430\u043b\u043d\u0430 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442 \u043d\u0430 \u0443\u0447\u0438\u0442\u0435\u043b\u044f \u043f\u043e \u043c\u0443\u0437\u0438\u043a\u0430. \u0412: \u0421\u0431\u043e\u0440\u043d\u0438\u043a \u0434\u043e\u043a\u043b\u0430\u0434\u0438 \u043e\u0442 \u043c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u0430 \u043d\u0430\u0443\u0447\u043d\u0430 \u043a\u043e\u043d\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u044f \u201e\u041d\u0430\u0443\u043a\u0430, \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u0438\u043d\u043e\u0432\u0430\u0446\u0438\u0438 \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0442\u0430 \u043d\u0430 \u0438\u0437\u043a\u0443\u0441\u0442\u0432\u043e\u0442\u043e\u201c,<\/em> \u041f\u043b\u043e\u0432\u0434\u0438\u0432, \u0441. 85 \u2013 94.<\/p>\n

\u0421\u0435\u043b\u0435\u0432\u043a\u043e, \u0413. (2004)<\/strong>. \u041a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442\u0438 \u0438 \u0438\u0445 \u043a\u043b\u0430\u0441\u0438\u0444\u0438\u043a\u0430\u0446\u0438\u044f.<\/em> \u041d\u0430\u0440\u043e\u0434\u043d\u043e\u0435 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435, 4, \u0441. 138 \u2013 143.<\/p>\n

\u0421\u0438\u0434\u0435\u0440\u043e\u0432\u0430, \u0414. <\/strong>(<\/strong>2021<\/strong>)<\/strong>. \u041f\u043e\u0433\u043b\u0435\u0434 \u043a\u044a\u043c \u0442\u0435\u043a\u0441\u0442\u043e\u0446\u0435\u043d\u0442\u0440\u0438\u0437\u043c\u0430 \u043f\u0440\u0438 \u043f\u0440\u0430\u043a\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0442\u043e \u043f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u0435 \u043d\u0430 \u043f\u043e\u0437\u043d\u0430\u043d\u0438\u0435\u0442\u043e \u0432 \u043e\u0431\u043b\u0430\u0441\u0442\u0442\u0430 \u043d\u0430 \u0431\u044a\u043b\u0433\u0430\u0440\u0441\u043a\u0438\u044f \u0435\u0437\u0438\u043a \u0438 \u043b\u0438\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430\u0442\u0430 (\u0441 \u043f\u0440\u043e\u0435\u043a\u0446\u0438\u044f \u043a\u044a\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u0442\u043e \u043d\u0430 \u0431\u044a\u0434\u0435\u0449\u0438 \u0434\u0435\u0442\u0441\u043a\u0438 \u0438 \u043d\u0430\u0447\u0430\u043b\u043d\u0438 \u0443\u0447\u0438\u0442\u0435\u043b\u0438). \u0412: \u041a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442\u0435\u043d \u043f\u043e\u0434\u0445\u043e\u0434 \u0432 \u043e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u043d\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0438 \u043e\u0442 \u043f\u0435\u0434\u0430\u0433\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438 \u0441\u043f\u0435\u0446\u0438\u0430\u043b\u043d\u043e\u0441\u0442\u0438. <\/em>\u0421\u0442\u0430\u0440\u0430 \u0417\u0430\u0433\u043e\u0440\u0430: \u041f\u0435\u0434\u0430\u0433\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u0430\u043a\u0443\u043b\u0442\u0435\u0442, \u0422\u0440\u0430\u043a\u0438\u0439\u0441\u043a\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442, 8 \u2013 41. ISBN 978-954-314-104-3.<\/p>\n

\u0422\u0435\u043c\u044f\u0442\u043a\u0438\u043d\u0430, \u041e. \u0412. (2006)<\/strong>. \u0424\u043e\u0440\u043c\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043a\u043b\u044e\u0447\u0435\u0432\u044b\u0445 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0446\u0438\u0439 \u0443 \u0448\u043a\u043e\u043b\u044c\u043d\u0438\u043a\u043e\u0432 \u0432 \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u043c \u043f\u0440\u043e\u0446\u0435\u0441\u0441\u0435.<\/em> \u0410\u0432\u0442\u043e\u0440\u0435\u0444\u0435\u0440\u0430\u0442. \u0415\u043a\u0430\u0442\u0435\u0440\u0438\u043d\u0431\u0443\u0440\u0433.<\/p>\n

\u0422\u0435\u0440\u0437\u0438\u0435\u0432\u0430, \u0413. (2022)<\/strong>. \u0417\u0434\u0440\u0430\u0432\u043d\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u0438 \u0444\u0438\u0437\u0438\u0447\u0435\u0441\u043a\u043e \u0432\u044a\u0437\u043f\u0438\u0442\u0430\u043d\u0438\u0435: \u041a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442 \u043d\u0430 \u0441\u0442\u0443\u0434\u0435\u043d\u0442\u0438 \u043f\u0435\u0434\u0430\u0433\u043e\u0437\u0438.<\/em> \u0421\u0442\u0430\u0440\u0430 \u0417\u0430\u0433\u043e\u0440\u0430: \u041f\u0435\u0434\u0430\u0433\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u0430\u043a\u0443\u043b\u0442\u0435\u0442, \u0422\u0440\u0430\u043a\u0438\u0439\u0441\u043a\u0438 \u0443\u043d\u0438\u0432\u0435\u0440\u0441\u0438\u0442\u0435\u0442. ISBN: 978-954-314-107-4.<\/p>\n

\u0426\u0430\u043d\u043a\u043e\u0432, \u041d. (2008)<\/strong>. \u041f\u043e\u0432\u0438\u0448\u0430\u0432\u0430\u043d\u0435 \u043a\u0430\u0447\u0435\u0441\u0442\u0432\u043e\u0442\u043e \u043d\u0430 \u0432\u0438\u0441\u0448\u0435\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435 \u043d\u0430 \u0431\u044a\u0434\u0435\u0449\u0438\u0442\u0435 \u0443\u0447\u0438\u0442\u0435\u043b\u0438 \u0447\u0440\u0435\u0437 \u043f\u0440\u0438\u043b\u0430\u0433\u0430\u043d\u0435 \u043a\u043e\u043c\u043f\u0435\u0442\u0435\u043d\u0442\u043d\u043e\u0441\u0442\u043d\u0438\u044f \u043f\u043e\u0434\u0445\u043e\u0434. \u041c\u0435\u0436\u0434\u0443\u043d\u0430\u0440\u043e\u0434\u043d\u0430 \u043a\u043e\u043d\u0444\u0435\u0440\u0435\u043d\u0446\u0438\u044f \u201e\u0418\u043a\u043e\u043d\u043e\u043c\u0438\u043a\u0430 \u043d\u0430 \u0437\u043d\u0430\u043d\u0438\u0435\u0442\u043e \u2013 \u0432\u044a\u0437\u043c\u043e\u0436\u043d\u043e\u0441\u0442\u0438 \u0438 \u043f\u0440\u0435\u0434\u0438\u0437\u0432\u0438\u043a\u0430\u0442\u0435\u043b\u0441\u0442\u0432\u0430 \u043f\u0440\u0435\u0434 \u0432\u0438\u0441\u0448\u0435\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435\u201c, 1, \u0441. 223 \u2013 228. \u0411\u0443\u0440\u0433\u0430\u0441: \u0411\u0421\u0423.<\/p>\n

\u0426\u0430\u043d\u043a\u043e\u0432, \u041d. (2019)<\/strong>. \u041e\u0431\u0443\u0447\u0435\u043d\u0438\u0435\u0442\u043e \u0432 \u0443\u0447\u0438\u043b\u0438\u0449\u043d\u043e\u0442\u043e \u043e\u0431\u0440\u0430\u0437\u043e\u0432\u0430\u043d\u0438\u0435. \u0423\u0447\u0438\u043b\u0438\u0449\u043d\u0430 \u0434\u0438\u0434\u0430\u043a\u0442\u0438\u043a\u0430.<\/em> \u0421\u043e\u0444\u0438\u044f: \u0410\u0432\u0430\u043d\u0433\u0430\u0440\u0434 \u041f\u0440\u0438\u043c\u0430. ISBN: 978-619-239-125-6.<\/p>\n

Albrechtsen, H., H. H. K.<\/strong> S\u00f8nderstrup-Andersen, S. B\u00f8dker, A. Pejtersen (2001). Affordances in Activity Theory and Cognitive Systems Engineering.<\/em><\/p>\n

Barrett, J. E., Clements, D. H., Sarama, J. (2017)<\/strong>. Children\u2019s Measurement: a Longitudinal Study of Children\u2019s Knowledge and Learning of Length, Area, and Volume. In: B. Herbel-Eisenmann (Ed.), Journal for research in mathematics education <\/em>(Vol. 16, pp. 254). National Council of Teachers of Mathematics.<\/p>\n

B<\/strong>enson, A.<\/strong>,<\/strong> Blackman, D. (2003).<\/strong> Can Research Methods Ever Be Interesting?. Active Learning in Higher Education, 4.<\/em> 39 \u2013 55. DOI: 10.1177\/1469787403004001859.<\/p>\n

Bonwell, C.C., Eison, J.A. (1991)<\/strong>. Active Learning: Creating Excitement in the Classroom.<\/em> ASHE-ERIC Higher Education Report No. 1. Washington, DC: George Washington University.<\/p>\n

Bruner, J. S. (1965)<\/strong>. In Defense of Verbal Learning. In: R. C. Anderson & D. P. Ausubel (Eds.). Readings in the psychology of cognition<\/em>. New York: Holt, Rinehart, and Winston.<\/p>\n

Bruner, J. S. (1966)<\/strong>. Toward a Theory of Instruction.<\/em> Cambridge, MA: Harvard University Press.<\/p>\n

Chaiklin, S. (2019)<\/strong>. The Meaning and Origin of the Activity Concept. In: Soviet Psychology with Primary Focus on A. N. Leontiev\u2019s Approach, Theory & Psychology, Vol. 29<\/em>(1), 3 \u2013 26, SAGE, DOI: 10.1177\/0959354319828208.<\/p>\n

Clements, D. H., Sarama, J. (2009)<\/strong>. Learning and Teaching Early Math: The Learning Trajectories Approach.<\/em> Routledge.<\/p>\n

Clements, D. H., Sarama, J. (2014).<\/strong> Learning and Teaching Early Math: The Learning Trajectories Approach (2nd ed.). Routledge.<\/p>\n

Fallon E., Stephen Walsh St., Prendergast T., <\/strong>(2013)<\/strong>. An Activity-based Approach to the Learning and Teaching of Research Methods: Measuring Student Engagement and Learning, 2013-6, Irish Journal of Academic Practice, Volume 2, Issue 1,<\/em> Article 2.<\/p>\n

Huntley-Fenner, G. (1999, April)<\/strong>. Infants\u2019 Expectation of Quantity Varies with Material Kind [Paper Presentation]. The Society for Research in Child Development,<\/em> Albuquerque, NM.<\/p>\n

McGrath, J. R., MacEwan, G. (2011)<\/strong>. Linking Pedagogical Practices of Activity-Based Teaching. The International Journal of Interdisciplinary Social Sciences, 6<\/em>(3), 261 \u2013 274.<\/p>\n

Newcombe, N. S., Huttenlocher, J. (2000)<\/strong>. Making Space: The Development of Spatial Representation and Reasoning. MIT Press.<\/p>\n

Nussbaumer,<\/strong> D. (2012)<\/strong>. An Overview of Cultural Historical Activity Theory (CHAT) Use in Classroom Research 2000 To 2009. Educ<\/em>ational<\/em>. Rev<\/em>iew<\/em>, 64<\/em>(1), pp. 37 \u2013 55.<\/p>\n

Petress, K. (2008)<\/strong>. What Is Meant By Active Learning? Education, 128 <\/em>(4), 566 \u2013 569.<\/p>\n

Robert<\/strong>, <\/strong>A. <\/strong>(2012)<\/strong>. A Didactical Framework for Studying Students\u2019 and Teachers\u2019 Activities When Learning and Teaching Mathematics, International Journal Technol. Math. Education, https:\/\/hal.archives-ouvertes.fr\/hal-02357442 .<\/p>\n

Sarama, <\/strong>J., <\/strong>D<\/strong>.<\/strong> H. Clements , J. E. Barrett , C. J.<\/strong> Cullen , A. Hudyma<\/strong>,<\/strong> Y<\/strong>.<\/strong> Vanegas (2021)<\/strong>. Length Measurement in the Early Years: Teaching and Learning With Learning Trajectories. Mathematical Thinking and Learning.<\/em> DOI:10.1080\/10986065.2020.1858245<\/p>\n

Siderova, D. (2023)<\/strong>. The Linguodidactic Case through the Prism of the Communicative Approach to the Text. Trakia Journal of Sciences, 21 <\/em>(2), 87 \u2013 92.<\/p>\n

Steffe, L. P., Thompson, P. W., Glasersfeld, E. (2000)<\/strong>. Teaching Experiment Methodology: Underlying Principles and Essential Elements. In: A. E. Kelly & R. A. Lesh (eds.), Handbook of Research Design in Mathematics and Science Education<\/em> (pp. 267\u2013306). Erlbaum.<\/p>\n

Vandebrouck, F., Chiappini, G., Jaworski, B., Lagrange, J.-b., Monaghan, J., Psycharis, G., (2012)<\/strong>. Activity Theoretical Approaches to Mathematics Classroom Practices with the Use of Technology. Int<\/em>ernational<\/em> J. Technol. Math. Educ<\/em>ation<\/em>, 19,<\/em> 127 \u2013 134.<\/p>\n

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\u041b\u0418\u0422\u0415\u0420\u0410\u0422\u0423\u0420\u0410<\/strong><\/p>\n

Albrechtsen, H., H. H. K.<\/strong> S\u00f8nderstrup-Andersen, S. B\u00f8dker, A. Pejtersen (2001). Affordances in Activity Theory and Cognitive Systems Engineering.<\/em><\/p>\n

Barrett, J. E., Clements, D. H., Sarama, J. (2017)<\/strong>. Children\u2019s Measurement: a Longitudinal Study of Children\u2019s Knowledge and Learning of Length, Area, and Volume. In: B. Herbel-Eisenmann (Ed.), Journal for research in mathematics education <\/em>(Vol. 16, pp. 254). National Council of Teachers of Mathematics.<\/p>\n

B<\/strong>enson, A.<\/strong>,<\/strong> Blackman, D. (2003).<\/strong> Can Research Methods Ever Be Interesting?. Active Learning in Higher Education, 4.<\/em> 39 \u2013 55. DOI: 10.1177\/1469787403004001859.<\/p>\n

Bonwell, C.C., Eison, J.A. (1991)<\/strong>. Active Learning: Creating Excitement in the Classroom.<\/em> ASHE-ERIC Higher Education Report No. 1. Washington, DC: George Washington University.<\/p>\n

Bruner, J. S. (1965)<\/strong>. In Defense of Verbal Learning. In: R. C. Anderson & D. P. Ausubel (Eds.). Readings in the psychology of cognition<\/em>. New York: Holt, Rinehart, and Winston.<\/p>\n

Bruner, J. S. (1966)<\/strong>. Toward a Theory of Instruction.<\/em> Cambridge, MA: Harvard University Press.<\/p>\n

Chaiklin, S. (2019)<\/strong>. The Meaning and Origin of the Activity Concept. In: Soviet Psychology with Primary Focus on A. N. Leontiev\u2019s Approach, Theory & Psychology, Vol. 29<\/em>(1), 3 \u2013 26, SAGE, DOI: 10.1177\/0959354319828208.<\/p>\n

Clements, D. H., Sarama, J. (2009)<\/strong>. Learning and Teaching Early Math: The Learning Trajectories Approach.<\/em> Routledge.<\/p>\n

Clements, D. H., Sarama, J. (2014).<\/strong> Learning and Teaching Early Math: The Learning Trajectories Approach (2nd ed.). Routledge.<\/p>\n

Dimitrov<\/strong>,<\/strong> M. (2020)<\/strong>. Music-Computer Technologies in the Professional Competency of the Pedagogue<\/em>.<\/em> Stara Zagora: KOTA editor, ISBN: 978-954-305-537-1.<\/p>\n

Fallon E., Stephen Walsh St., Prendergast T., <\/strong>(2013)<\/strong>. An Activity-based Approach to the Learning and Teaching of Research Methods: Measuring Student Engagement and Learning, 2013-6, Irish Journal of Academic Practice, Volume 2, Issue 1,<\/em> Article 2.<\/p>\n

Huntley-Fenner, G. (1999, April)<\/strong>. Infants\u2019 Expectation of Quantity Varies with Material Kind [Paper Presentation]. The Society for Research in Child Development,<\/em> Albuquerque, NM.<\/p>\n

Leontiev, A. <\/strong>(1978)<\/strong>. Activity, conscientiousness, personality. <\/em>Sofia: Partizdat.<\/p>\n

McGrath, J. R., MacEwan, G. (2011)<\/strong>. Linking Pedagogical Practices of Activity-Based Teaching. The International Journal of Interdisciplinary Social Sciences, 6<\/em>(3), 261 \u2013 274.<\/p>\n

Newcombe, N. S., Huttenlocher, J. (2000)<\/strong>. Making Space: The Development of Spatial Representation and Reasoning. MIT Press.<\/p>\n

Nussbaumer,<\/strong> D. (2012)<\/strong>. An Overview of Cultural Historical Activity Theory (CHAT) Use in Classroom Research 2000 To 2009. Educ<\/em>ational<\/em>. Rev<\/em>iew<\/em>, 64<\/em>(1), pp. 37 \u2013 55.<\/p>\n

Petkova, D. <\/strong>(2017)<\/strong>. Digital Competency of the Music Teacher. In: The volume of articles from the International Scientific Conference “Science, Education and Innovations in the Area of Art”, Plovdiv, pp. 85 \u2013 94.<\/p>\n

Petress, K. (2008)<\/strong>. What Is Meant By Active Learning? Education, 128 <\/em>(4), 566 \u2013 569.<\/p>\n

Regulation <\/strong>\u2116 5<\/strong> dated June 3rd<\/sup>, 2016 for Pre-School Education. Published in the State Gazette \u2116 46 dated June 17th, 2016, in force from August 1st, 2016, issued by the Ministry after Education and Science.<\/p>\n

Robert<\/strong>, <\/strong>A. <\/strong>(2012)<\/strong>. A Didactical Framework for Studying Students\u2019 and Teachers\u2019 Activities When Learning and Teaching Mathematics, International Journal Technol. Math. Education, https:\/\/hal.archives-ouvertes.fr\/hal-02357442 .<\/p>\n

Sarama, <\/strong>J., <\/strong>D<\/strong>.<\/strong> H. Clements , J. E. Barrett , C. J.<\/strong> Cullen , A. Hudyma<\/strong>,<\/strong> Y<\/strong>.<\/strong> Vanegas (2021)<\/strong>. Length Measurement in the Early Years: Teaching and Learning with Learning Trajectories. Mathematical Thinking and Learning.<\/em> DOI:10.1080\/10986065.2020.1858245<\/p>\n

Siderova, D. (202<\/strong>1<\/strong>)<\/strong>.View of Textocentrism with Practical Application in the Field of Knowledge of the Bulgarian Language and Literature (With a Projection on the Education of Future Kindergarten and Primary Teachers). In: Competency Approach In The Education of Students from Pedagogy Specialties. Stara Zagora: Faculty of Education, Trakia University. ISBN:\u00a0 978-954-314-104-3.<\/p>\n

Siderova, D. (2023)<\/strong>. The Linguodidactic Case through the Prism of the Communicative Approach to the Text. Trakia Journal of Sciences, 21 <\/em>(2), 87 \u2013 92.<\/p>\n

Steffe, L. P., Thompson, P. W., Glasersfeld, E. (2000)<\/strong>. Teaching Experiment Methodology: Underlying Principles and Essential Elements. In: A. E. Kelly & R. A. Lesh (eds.), Handbook of Research Design in Mathematics and Science Education<\/em> (pp. 267\u2013306). Erlbaum.<\/p>\n

Temyatkina, O. V. (2006)<\/strong>. Development of Key Competences. In: The Students During the Educational Process. Abstract, Ecaterinburg.<\/p>\n

Terzieva, G. (2022)<\/strong>. Health Education and Gymnastics: Competency of Pedagogy Students. Stara Zagora: Faculty of Education, Trakia University. ISBN: 978-954-314-107-4.<\/p>\n

Tsankov, N. (2008)<\/strong>. Improvement of the Quality of the High Education of the Will Be Teachers through Implementation of the Competency Approach. International Conference: Economy of Knowledge \u2013 Options and Challenges to the High Education, 1, pp. 223\u2013 228. Bourgas: Free University of Bourgas.<\/p>\n

Tsankov, N. (2019)<\/strong>. Education at School. School Didactics. Sofia: editor Avantgarde Prima. ISBN: 978-619-239-125-6.<\/p>\n

Vandebrouck, F., Chiappini, G., Jaworski, B., Lagrange, J.-<\/strong>B<\/strong>., Monaghan, J., Psycharis, G. (2012)<\/strong>. Activity Theoretical Approaches to Mathematics Classroom Practices with the Use of Technology. Int<\/em>ernational<\/em> J. Technol. Math. Educ<\/em>ation<\/em>, 19,<\/em> 127 \u2013 134.<\/p>\n

 <\/p>\n

 <\/p>\n

\u00a0<\/strong><\/p>\n

\u041a\u043e\u043d\u0442\u0430\u043a\u0442\u0438:<\/strong><\/p>\n

Assoc. prof<\/em>.<\/em> Maria <\/em><\/strong>Petrova <\/em><\/strong>Temnikova<\/em><\/strong>, <\/em><\/strong>\u0434-\u0440<\/em><\/p>\n

\u041f\u0435\u0434\u0430\u0433\u043e\u0433\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u0430\u043a\u0443\u043b\u0442\u0435\u0442<\/p>\n

Trakia University \u2013 Stara Zagora, Bulgaria<\/p>\n

e-mail: mpt66@abv.bg<\/a><\/p>","protected":false},"excerpt":{"rendered":"

Abstract. Digitalization of the Bulgarian society over the recent years changed the educational environment where the education in mathematics in pre-school takes place. To achieve its goals and tasks, teachers must use in their methodological system of work information-communication technologies and create conditions for performance of practical activities in which the children actively participate. Systematized [\u2026]<\/p>","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[122],"tags":[140],"_links":{"self":[{"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/posts\/1310"}],"collection":[{"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/comments?post=1310"}],"version-history":[{"count":2,"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/posts\/1310\/revisions"}],"predecessor-version":[{"id":1334,"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/posts\/1310\/revisions\/1334"}],"wp:attachment":[{"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/media?parent=1310"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/categories?post=1310"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/pf-yb.com\/bg\/wp-json\/wp\/v2\/tags?post=1310"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}