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Using graphic display calculator in solving some problems with polynomials

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EN
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EN
A graphic display calculator (GDC) is becoming more and more popular in teaching mathematics as it is used to examine some mathematical activities of students of almost all ages. Various modes of GDC are considered to be a useful tool in understanding of particular parts of mathematics. In most cases the properties of functions are examined by observation of their graphs. However, there are some properties of the functions which one cannot see during the graphs analysis (for example properties concerning complex roots of polynomials). The aim of this paper is to analyse how 17-and-18-year-old students for whom GDC is an obligatory device can generalize some relations between polynomials and so called “shadows” of these functions. The whole paper is concerned with in investigation of properties of quadratic, cubic and quartic functions with both real and complex roots.
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autor
  • Cardinal Stefan Wyszyński University in Warsaw, Faculty of Mathematics and Natural Sciences College of Science, ul. Dewajtis 5, 01-815 Warszawa, Poland
Bibliografia
  • [1] J. Berry, E. Graham, A. Smith, Observing students working styles when using graphic calculators to solve mathematics problems, International Journal of Mathematical Education in Science and Technology, 37(3) (2006), 291-308.
  • [2] R. G. Brown, Does the introduction of the graphic display calculator into system-wide examinations lead to change in the types of mathematical skills tested?, Educational Studies in Mathematics, 73(2) (2010), 181-203.
  • [3] H. M. Doerr, R. Zangor, Creating meaning for and with the graphing calculator, Educational Studies in Mathematics, 41 (2000), 143-163.
  • [4] P. A. Foster, P. C. Taylor, An investigation of communicative competence an upper-secondary class where using graphics calculators was routine, Educational Studies in Mathematics, 52 (2003), 57-77.
  • [5] P. A Foster, U. Mueller, D. Haimes, J Malone, Impact on school assessment where use of graphics calculators is mandatory in a related public examination, Int. J. Math. Educ. Sci. Technol., 34(3) (2003), 343-359.
  • [6] E. Graham, C. Headlam, J. Sharp, B. Watson, An investigation into whether student use of graphics calculators matches their teacher’s expectations, International Journal of Mathematical Education in Science and Technology, 39(2) (2008), 179-196.
  • [7] J. Jureczko, The role of The Graphic Display Calculator in forming conjectures for instance a special kind system of linear equations, Acta Mathematica 17 (2014), 69-74.
  • [8] J. Jureczko, The use of graphic display calculator and computer software in mathematical modelling, in: Communication in the mathematical classroom, ed. M. Pytlak, (2014), 134-144.
  • [9] J. Jureczko, The role of the graphic display calculator in learning mathematics on the basis of international baccalaureate students’ experiences (in Polish), Współczesne problemy nauczania matematyki, (2013).
  • [10] J. Jureczko, The process of generalization of 17-19 aged students on the basis of visual templates tasks (in Polish), in Współczesne problemy nauczania matematyki, red. H. Kakol, (2013).
  • [11] J. Jureczko, The role of mathematics in programs: International Baccalaureate Diploma and Polish Diploma, part 1 (in Polish), Nauczyciele i Matematyka plus Technologia Informatyczna, 82 Summer (2012), 26-30.
  • [12] J. Jureczko, The role of mathematics in programs: International Baccalaureate Diploma and Polish Diploma, part 2 (in Polish), Nauczyciele i Matematyka plus Technologia Informatyczna, 83 (Autumn 2012), (20-26).
  • [13] J. J. A. Lee, D. K. McDougall, Secondary school teachers’ conceptions and their teaching practices using graphing calculators, International Journal of Mathematical Education in Science and Technology, 41(7) (2010), 857-872.
  • [14] M. Mitchelmore, M. Cavanagh Students’ difficulties in operating a graphics calculator, Mathematics Education Research Journal, 12(3) (2000), 254-268.
  • [15] F. D. Rivera, Visual templates in patterns generalization activity, Educ. Stud. Math., 73 (2010), 297-328.
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Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-dc50df93-413b-462d-8e82-89d620df9d98
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