WAYS TO IMPROVE THE TEACHING OF HIGHER MATHEMATICS TO STUDENTS OF NATURAL SCIENCE SPECIALTIES
Abstract
Purpose. One of the main problems of mathematical training of students of natural sciences is the inability of students to apply their knowledge and skills in practice. Having mastered mathematical laws, formulas, theorems at the abstract level, students do not understand its value for solving real problems of a professional nature. The purpose of the article is to demonstrate possible ways of organizing the educational process in higher mathematics in accordance with the professional needs of students of natural sciences.
Methodology. The basis of the research is the competence-based, professionally-oriented, activity-based approaches.
Results. The main directions of improving the effectiveness of teaching mathematics by strengthening interdisciplinary connections and project methods are highlighted in the article. In particular, mathematical tasks of professionally oriented content and natural science projects are presented, which allow us to demonstrate the relationship of mathematics with natural sciences, increase the level of motivation and mathematical culture of students of natural sciences.
Practical implications. The results of the study can be applied to the organization of the mathematics educational process at the university.
Downloads
References
Gnedenko B.V., Gnedenko D.B. Ob obuchenii matematike v universitetah i pedvuzah na rubezhe dvuh tysyacheletij [About Teaching Mathematics at Universities and Pedagogical Universities at the Turn of Two Millennia]. Moscow: URSS, 2006, 158 p.
D’yachenko S.I. Motivaciya izucheniya «Matematiki» studentami «nematematicheskih» special’nostej [Motivation of Studying “Mathematics” by Students of “Non-mathematical” Specialties]. Vestnik Taganrogskogo instituta imeni A.P. CHekhova [Bulletin of the Taganrog Institute Named after A. P. Chekhov]. Taganrog, 2008, no. 1, pp. 205–210.
Karimov M.F. Sostoyanie i zadachi sovershenstvovaniya himicheskogoi estestvenno-matematicheskogo obrazovaniya molodezhi [The State and Tasks of Improving the Chemical and Natural-mathematical Education of Young People] Bashkirskij himicheskij zhurnal [Bashkir Chemical Journal], 2009, vol. 16, no. 1, pp. 29-32.
Kostrova Yu.S., Efremov N.V. Vliyanie zagryazneniya atmosfernogo vozduha na bolezni organov dyhaniya naseleniya Ryazanskoj oblasti [Influence of Atmospheric Air Pollution on Diseases of the Respiratory System Among the Population of the Ryazan Oblast]. Mezhdunarodnyj nauchno-issledovatel’skij zhurnal [International Research Journal], 2021, № 7 (109) Part 2, pp. 13-17. https://doi.org/10.23670/IRJ.2021.109.7.035
Kuba E.A. Vozmozhnosti upravleniya konkurentosposobnost’yu v sisteme vysshego obrazovaniya [Opportunities for Managing Competitiveness in the Higher Education System]. Molodezh’ v XXI veke: filosofiya, psihologiya pravo, pedagogika, ekonomika i menedzhment: sbornik nauchnyh statej VI Mezhdunarodnoj nauchno-prakticheskoj konferencii [Youth in the XXI Century: Philosophy, Psychology, Law, Pedagogy, Economics and Management: Collection of Scientific Articles of the VI International Scientific and Practical Conference]. Ekaterinburg, 2016, pp. 39-40.
Matejko O.M. Vysshaya matematika dlya biologov: ucheb. Posobie dlya studentov geograficheskih i geoekologicheskih special’nostej vuzov: v 2 ch. CH. 1. [Higher Mathematics for Biologists: Textbook. Manual for Students of Geographical and Geoecological Specialties of Universities: in 2 Parts. Part 1]. Minsk: BSU, 2011, 267 p.
Nikolaev P.A., Kel’m T.I., Baranov V.M. Opredelenie ploshchadi zon radioaktivnogo zarazheniya Ryazanskoj oblasti [Determination of the Area of Radioactive Contamination Zones of the Ryazan Region]. Materialy konferencii 67-j studencheskoj nauchno-tekhnicheskoj konferencii Ryazanskogo gosudarstvennogo radiotekhnicheskogo universiteta [Materials of the conference of the 67th Student Scientific and Technical Conference of the Ryazan State Radio Engineering University], 2020, pp. 44-45.
Skateckij V.G. Matematicheskie metody v himii: uchebnoe posobie dlya studentov vuzov [Mathematical Methods in Chemistry: Textbook for University Students]. Mn.: TetraSistems, 2006, 368 p.
Skateckij V.G. Professional’naya napravlennost’ prepodavaniya matematiki: teoreticheskij i prakticheskij aspekty [Professional Orientation of Teaching Mathematics: Theoretical and Practical Aspects]. Minsk: BSU, 2000, 160 p.
Toktarova V.I., Fedorova S.N. Matematicheskaya podgotovka studentov: prichiny negativnyh tendencij [Students’ Background in Mathematics: The Causes of Negative Trends]. Vysshee obrazovanie v Rossii [Higher Education in Russia], 2017, no. 208 (1), pp. 85-92. https://vovr.elpub.ru/jour/article/view/927
Proshkin S.S. Nekotorye problemy, voznikayushchie v processe prepodavaniya matematiki studentam estestvennonauchnyh special’nostej [Some Problems That Arise in the Process of Teaching Mathematics to Students of Natural Science Specialties]. Izvestiya Rossijskogo gosudarstvennogo pedagogicheskogo universiteta im. A.I. Gercena [Izvestia of the A. I. Herzen Russian State Pedagogical University], 2013, no. 154, pp. 164-169. https://lib.herzen.spb.ru/media/magazines/contents/1/154/proshkin_154_164_169.pdf
Belkić D., Belkić K. Review of recent applications of the conventional and derivative fast Padé transform for magnetic resonance spectroscopy. Journal of Mathematical Chemistry, 2019, no. 57, pp. 385–464. https://link.springer.com/article/10.1007/s10910-019-01001-8
Benisch K., Wang W., Delfs J. et al. The OGS-Eclipse code for simulation of coupled multiphase flow and geomechanical processes in the subsurface. Comput Geosci., 2020, no. 24, pp. 1315–1331. https://link.springer.com/article/10.1007/s10596-020-09951-8
Bialek W, Botstein D: Introductory science and mathematics education for 21st-century biologists. Science, 2004, no. 303, pp. 788–790. https://doi.org/10.1126/science.1095480
Cohen J. Mathematics is biology’s next microscope, only better; biology is mathematics’ next physics, only better. PLOS Biology, 2004, no. 2, pp. 2017–2023. https://doi.org/10.1371/journal.pbio.0020439
Fursov I., Christie M. & Lord G. Applying kriging proxies for Markov chain Monte Carlo in reservoir simulation. Comput Geosci., 2020, no. 24, pp. 1725-1746. https://link.springer.com/article/10.1007/s10596-020-09968-z
Ghosh S., Banerjee S. Mathematical modeling of cancer–immune system, considering the role of antibodies. Theory Biosci., 2018, no. 137, pp. 67–78. https://doi.org/10.1007/s12064-018-0261-x
Hsieh J. Computed tomography: principles, design, artifacts, and recent advances. 2nd ed. Bellingham: SPIE Press; Hoboken: Wiley Interscience, 2009, 556 p.
Jost J. Relations and dependencies between morphological characters. Theory Biosci., 2017, no. 136, pp. 69–83. https://doi.org/10.1007/s12064-017-0248-z
Jungck J.R. Mathematical Biology Education: Modeling Makes Meaning Math. Model. Nat. Phenom., 2011, vol. 6, no. 6, pp. 1-21. https://doi.org/10.1051/mmnp/20116601
Krajňák V., Waalkens H. Phase space structures causing the reaction rate decrease in the collinear hydrogen exchange reaction. J Math Chem., 2020., no. 58., pp. 292–339. https://doi.org/10.1007/s10910-019-01083-4
Li Y., Schoenfeld A.H. Problematizing teaching and learning mathematics as “given” in STEM education. IJ STEM Ed., 2019, no. 6, pp. 44. https://stemeducationjournal.springeropen.com/articles/10.1186/s40594-019-0197-9
Muthusami R., Saritha K. Statistical analysis and visualization of the potential cases of pandemic coronavirus. VirusDis, 2020.
Rahrah M., Vermolen F. A moving finite element framework for fast infiltration in nonlinear poroelastic media. Comput Geosci, 2021, no. 25, pp. 793–804. https://link.springer.com/article/10.1007/s10596-020-09959-0
Stewart J., Day T. Biocalculus: Calculus for Life Sciences. Brooks Cole. 2014, 897 p.
Talebi H., Mueller U., Tolosana-Delgado R. et al. Surficial and Deep Earth Material Prediction from Geochemical Compositions. Nat Resour Res., 2019, no. 28, pp. 869–891. https://link.springer.com/article/10.1007/s11053-018-9423-2
Varadachari C., Mukherjee G., Goswami D.P. et al. Understanding clay minerals with fuzzy mathematics. Naturwissenschaften, 2003, no. 90, pp. 44–48. https://doi.org/10.1007/s00114-002-0387-y
Copyright (c) 2021 Yulia S. Kostrova
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
