Mathematical Model of Development of an Innovative Education System
Keywords:
education, learning trajectory, student, educational process, mathematical modelAbstract
Due to in connection with the development of science in all countries there is a demand for young scientists who will be able to conduct successful research and discoveries. The educational system has the goal of organizing educational processes in such a way that students can show better academic performance, and teachers can identify the gap in the student's education and fill it.
This research provides a method for developing a mathematical model of the trajectory of the student learning the proposed model was developed taking into account external variables that reflected the students’ characteristics in turninfluencing the learning process and the education. Such student mathematical model for the individual training will decrease the cost for this type of training and at the same time will give all the benefits of the individualized training., In addition, the use of the neural networks to research and predict the properties of the educational trajectory will make it possible to discover the new and effective research methods in the field of learning theory.
References
S. A. Vdovina, I. M. Kugurova, “The Nature and Directions of the Individual Educational Trajectory”, Science, 6, 2013. Available: https://naukovedenie.ru/PDF/40PVN613.pdf
P. V. Sysoev, “Individual Education Path”, Language and Culture, 4, 2013.
C. L. Smith, M. Wiser, C. W. Anderson, J. Krajcik, “Implications of research on children's learning for standards and assessment: aproposed learning progression for matter and the atomic-molecular theory”, Measurement: Interdisciplinary Research & Perspective, 4, (1-2), 2006.
“NGSS Lead States”, Next generation science standards: For states, by states, 2013. Available: http://www.nextgenscience.org/next-generation-science-standards
A. C. Alonzo, T. Neidorf, C. W. Anderson, “Using learning progressions to inform large-scale assessment”, In A. C. Alonzo, A. W. Gotwals (Eds.), Learning progressions in science: Current challenges and future directions. Rotterdam: SENSE Publishers, 2012.
E. M. Furtak, S. C. Heredia, “Exploring the influence of learning progressions in two teacher communities”, Journal of Research in Science Teaching, 51 (8), 2014.
“Organisation for Economic Cooperation and Developmen (OECD)”, Future of Education and Skills 2030: Curriculum analysis, 2019. Available: https://www.oecd.org/education/2030-project/about/documents/A_Synthesis_of_Researc h_on_Learning_Trajectories_Progressions_in_Mathematics.pdf
R. Lehrer, L. Schauble, “Learning progressions: The whole world is not a stage”, Science Education, 99 (3), 2015.
W. R. Penuel, L. A. Shepard, “Social models of learning and assessment”, In A. A. Rupp, J.
P. Leighton (Eds.), Handbook of cognition and assessment: Frameworks, methodologies, and applications. Hoboken, New Jersey: John Wiley&Sons, 2016.
L. A. Shepard, W. R. Penuel, J. W. Pellegrino, “Classroom assessment principles to support learning and avoid the harms of testing”, Educational Measurement: Issues and Practice, 37 (1), 2018.
H. S. Bloom, R. Unterman, “Can small high schools of choice improve educational prospects for disadvantaged students?”, Journal of Policy Analysis and Management, 33 (2), 2014.
E. Yukselturk, S. Bulut, “Gender differences in self-regulated online learning environment”,
Journal of Educational Technology & Society, 12 (3), 2009.
A. Freiberg-Hoffman, J. B. Stover, N. Donis, “Influence of Learning Strategies on Learning Styles: Their Impact on Academic Achievement of College from Buenos Aires”, Problems of education in the 21st century, 75 (1), 2017. Available: http://www.scientiasocialis.lt/pec/node/files/pdf/vol75/6-18.Freiberg-Hoffmann_Vol.75-1_ PEC.pdf
H. Jafari, A. Aghaei, A. Khatony, “Relationship between study habits and academic achievement in students of medical sciences in Kermanshah-Iran”, Advanced in Medical Education and Practice, 10, 2019. DOI: 10.2147/AMEP.S208874
U. N., Karaulov, U. N. Filippovich, Linguocultural consciousness of the Russian language personality: modeling of the state and functioning. Moscow: Azbukovik, 2009. ISBN: 9785911720223
D. Bouchard, “Brain Readiness and the Nature of Language”, Frontiers in Psychology,
DOI: 10.3389/fpsyg.2015.01376
R. Rubira-García, B. Puebla-Martínez, R. Gelado-Marcos, “Social Representations in Studying Information, Knowledge, and Mediations: A Critical Review”, Social Sciences, 7
(12): 256, 2018. DOI: 10.3390/socsci7120256
M. I. Merzliakov, A. V. Podoliak, “Terms of melting the permafrost when cementing of boreholes plugged with gas-liquid mixtures with hollow microspheres”, International Journal of Applied Engineering Research, 12 (9): 1874-1878, 2017.
R. Wolter, “The Structural Approach to Social Representations: Bridges between Theory and Methods”, Psico-USF, 23 (4), 2019. DOI: 10.1590/1413-82712018230403
P. Sztajn, J. Confrey, P. H. Wilson, C. Edgington, “Learning Trajectory Based Instruction: Toward a Theory of Teaching”, Educational Researcher, 41 (5), 2012.
J. Aronson, “Stereotype Threat: Contending and Coping with Unnerving Expectations”, In
J. Aronson (Ed.), Improving academic achievement: Impact of psychological factors on education (pp. 279-301). New York: Academic Press, 2002.
N. Ivanova, T. Sorokina, “Educational environment approach to preventing the growth of school students anxiety in the transition from primary to secondary school”, Elementary Education Online, 19(1): 333-342, 2019. DOI: 10.17051/ilkonline.2020.661841
A. I. Kupchishin, N. A. Voronova, T. A. Shmygaleva, A. A. Kupchishin, “Computer simulation of vacancy clusters distribution by depth in molybdenum irradiated by alpha particles”, Key Engineering Materials, 781: 3-7, 2018, DOI: 10.4028/www.scientific.net/KEM.781.3
H. Akeel, H. Khoj, “Is education or Real GDP per capita helped countries staying at home during COVID-19 pandemic: cross-section evidence?”, Entrepreneurship and Sustainability Issues, 8(1), 841-852, 2020, DOI: 10.9770/jesi.2020.8.1(56)
A. N. Averin, Ye. V. Dudukalov, A. V. Skidan, S. L. Khagush, “Natsional'nyy proyekt v sfere nauki [National Science Project]”, Nauka i obrazovaniye: khozyaystvo i ekonomika; predprinimatel'stvo; pravo i upravleniye, 3(106): 124-127, 2019.
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