YOUNG PUPILS’ ABILITY TO SOLVE PERSPECTIVE TAKING PROBLEMS

Узданица XIX (Ванредни број) (2022), (стр. 71-94)

АУТОР(И): Marija M. Vorkapić Mila S. Milošević Olivera J. Đokić

Е-АДРЕСА: marija.vorkapic@uf.bg.ac.rs

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DOI: 10.46793/Uzdanica19.S.071V

САЖЕТАК: 

Spatial ability is an integral part of mathematics teaching and learning, but not every component of this ability has received enough research attention. In this paper, we focus on young pupils’ ability to solve two types of imaginary perspective-taking (IPT) problems given in the form of a test (the paper‒pencil test). The results show a difference in solving imaginary perspective-taking problems between preschoolers and second-grade pupils who took part in this research. Still, even the second-grade pupils have not fully developed this special spatial abil- ity because they are slightly less successful in appearance IPT2 tasks than in visibility IPT1 tasks. We noticed individual differences in both age groups. In addition, the preschool sample from Serbia is equally successful as the children from the Netherlands and significantly better than the children from the Cyprus sample of the same age reported by Van den Heuvel-Panhuizen, Elia and Robitzsch (2015). The general conclusion and educational implication are that imaginary perspective-taking ability should be nurtured more in early school years.

КЉУЧНЕ РЕЧИ:

imaginary perspective-taking, visibility, appearance, spatial reasoning, young pupils, Serbia.

ЛИТЕРАТУРА:

  • Björklund, van den Heuvel-Panhuizen, Kullberg (2020): C. Björklund, M. van den Heuvel-Panhuizen, A. Kullberg, Research on early childhood mathematics teaching and learning, ZDM Mathematics Education, 52/4, Germany: Springer Verlag, 607–619.
  • Board of Studies New South Wales (2012): NSW syllabus for the Australian cur– riculum Mathematics K–10 syllabus. Sydney: Author.
  • Bruce, Davis, Sinclair, McGarvey, Hallowell, Drefs, Francis, Hawes, Moss, Mul- ligan, Okamoto, Whiteley, Woolcott (2017): C. D. Bruce, B. Davis, N. Sinclair, L. Mc- Garvey, D. Hallowell, M. Drefs, K. Francis, Z. Hawes, J. Moss, J. Mulligan, Y. Okamoto, W. Whiteley, G. Woolcott, Understanding gaps in research networks: using “spatial rea- soning” as a window into the importance of networked educational research, Educational Studies in Mathematics, 95/2, Netherlands: Springer Netherlands, 143–161.
  • Bryant (2008): P. Bryant, Paper 5: Understanding spaces and its representation in mathematics, In: T. Nunez, P. Bryant, A. Watson (Eds.), Key understanding in mathematics learning: A report to the Nuffield Foundation, London: Nuffield Foundation.
  • Clements, Battista (1992): D. H. Clements, M. T. Battista, Geometry and spatial reasoning, In: D. A. Grouws (Ed.), Handbook of research on mathematics teaching and learning, Stuttgart: Macmillan, 420–464.
  • Cortina (1993): J. M. Cortina, What is coefficient alpha? An examination of theory and applications, Journal of Applied Psychology, 78/1, USA: American Psychological As- sociation, 98–104.
  • Cyprus Ministry of Education and Culture (2010): Program of studies in mathemat– ics, Nicosia: Cyprus Ministry of Education and Culture.
  • Davis, Spatial Reasoning Study Group (Eds.) (2015): B. Davis, Spatial Reasoning Study Group (Eds.), Spatial reasoning in the early years. Principles, assertions, and specula– tions, United Kingdom: Routledge.
  • Department for Education (2013): Mathematics programmes of study: Key stages 1 and 2. National curriculum in England, England: Department for Education.
  • Đokić (2018): O. J. Đokić, Research perspectives of initial geometry education, Journal of Pedagogical Research, 2/2, Turkey, 102−111.
  • Đokić, Boričić, Jelić (2022): O. J. Đokić, M. M. D. Boričić, M. S. Jelić, Compar- ing ICT with Physical Manipulative Supported Learning of 3D Geometry in Elementary School, Journal of Educational Computing Research, 59/8, USA: SAGE Publications Inc., 1623–1654.
  • Everett, Croft, Flavell (1981): B. A. Everett, K. Croft, E. R. Flavell, Young children’s knowledge about visual perception: Further evidence for the Level 1 – Level 2 distinction, Developmental Psychology, 17/1, USA: American Psychological Association, 99–103.
  • Freudenthal (1973): H. Freudenthal, Mathematics as an educational task, Dordrecht, The Netherlands: D. Reidel Publishing Company.
  • Frick, Möhring, Newcombe (2014): A. Frick, W. Möhring, N. S. Newcombe, Pic- turing perspectives: development of perspective-taking abilities in 4- to 8-year-olds, Fron– tiers in Psychology, 5/386, Lausanne, Switzerland: Frontiers Media.
  • Guay, McDaniel (1977): R. B. Guay, E. D. McDaniel, The relationship between mathematics achievement and spatial abilities among elementary school children, Journal for Research in Mathematics Education, 8/3, USA: National Council of Teachers of Math- ematics, 210–215.
  • Ishikawa, Newcombe (2021): T. Ishikawa, N. S. Newcombe, Why spatial is special in education, learning, and everyday activities, Cognitive Research: Principles and Implica– tions, 6/20, USA: Springer Open.
  • Lubinski (2010): D. Lubinski, Spatial ability and STEM: A sleeping giant for talent identification and development, Personality and Individual Differences, 49/4, Amsterdam, Netherlands: Elsevier, 344–351.
  • Mammana, Villani (Eds.) (1998): C. Mammana, V. Villani, Perspectives on the teaching of geometry for the 21st century ‒ An ICMI Study, Amsterdam: Kluwer Academic Publishers.
  • Mix, Cheng, (2012): K. S. Mix, Y. L. Cheng, The Relation Between Space and Math: Developmental and Educational Implications, In: J. B. Benson (Ed.), Advances in child development and behavior, 42, Amsterdam: Elsevier Inc.,197–243.
  • National Council of Teachers of Mathematics (NCTM) (2000): Principles and standards for school mathematics, Reston, VA: National Council of Teachers of Math- ematics.
  • National Research Council (NRC) (2009): Mathematics learning in early childhood: Paths toward excellence and equity, USA: The National Academies Press.
  • Newcombe (1989): N. Newcombe, The development of spatial perspective taking, In: H. W. Reese (Ed.), Advances in child development and behavior, 22, New York: Aca- demic Press, 203–247.
  • Newcombe, Huttenlocher (1992): N. Newcombe, J. Huttenlocher, Children’s early ability to solve perspective-taking problems, Developmental Psychology, 28/4, USA: Amer- ican Psychological Association, 635–643.
  • Newcombe, Huttenlocher (2006): N. S. Newcombe, J. Huttenlocher, Development of Spatial Cognition, In: D. Kuhn, R. Siegler (Eds.), Handbook of Child Psychology (6th ed.), 2, New Jersey: John Wiley & Sons, Inc., 734−776.
  • Newcombe (2010): N. Newcombe, Picture this: Increasing math and science learn- ing by improving spatial thinking, American Educator, 34/2, USA: American Federation of Teachers, 29−35.
  • Newcombe, Uttal, Sauter (2013), N. S. Newcombe, D. H. Uttal, M. Sauter, Spatial development, In: P. Zelazo (Ed.), Oxford handbook of developmental psychology, 1, New York: Oxford University Press, 564–590.
  • Ontario Ministry of Education (2005): Grade 6 mathematics curriculum, Toronto: Ontario Education Ministry.
  • Pravilnik o opštim osnovama predškolskog programa (2006): Prosvetni glasnik, br. 14. Pravilnik o osnovama programa predškolskog vaspitanja i obrazovanja (2018): Prosvetni glasnik, br.16.
  • Pravilnik o planu nastave i učenja za prvi ciklus osnovnog obrazovanja i vaspitanja i programu nastave i učenja za prvi razred osnovnog obrazovanja i vaspitanja (2017): Pro- svetni glasnik, br. 10.
  • Pravilnik o programu nastave i učenja za drugi razred osnovnog obrazovanja i va- spitanja (2018): Prosvetni glasnik, br. 16.
  • Pravilnik o programu nastave i učenja za treći razred osnovnog obrazovanja i vaspi- tanja (2019): Prosvetni glasnik, br. 5.
  • Pravilnik o programu nastave i učenja za četvrti razred osnovnog obrazovanja i vaspitanja (2019): Prosvetni glasnik, br. 11.
  • Sinclair, Bruce (2014): N. Sinclair, C. D. Bruce, Spatial reasoning for young learn- ers, In: P. Liljedahl, C. Nicol, S.Oesterle, D. Allan (Eds.), Proceedings of the Joint Meeting of PME 38 and PME-NA, 36/1, Vancouver, Canada: PME, 173–203.
  • Uttal, Cohen (2012): D. H. Uttal, C. A. Cohen, Spatial thinking and STEM educa- tion: When, why and how?, In: B. Ross (Ed.), Psychology of learning and motivation, 57, New York: Academic Press, 148−178.
  • Uttal, Meadow, Tipton, Hand, Alden, Warren, Newcombe (2013): D. H. Uttal, N. G. Meadow, E. Tipton, L. L. Hand, A. R. Alden, C. Warren, N. S. Newcombe, The malle- ability of spatial skills: A meta-analysis of training studies, Psychological Bulletin, 139/2, USA: American Psychological Association, 352−402.
  • Van den Heuvel-Panhuizen, Buys (Eds.) (2008): M. Van den Heuvel-Panhuizen,
  1. Buys, Young children learn measurement and geometry, Rotterdam: Sense.
  • Van den Heuvel-Panhuizen, Elia, Robitzsch (2014): M. Van den Heuvel-Panhuizen, I. Elia, A. Robitzsch, Paper 6: Kindergarteners’ abilities in perspective taking, In: P. Lilje- dahl, C. Nicol, S. Oesterle, D. Allan (Eds.), Proceedings of the Joint Meeting of PME 38 and PME-NA, 36/1, Vancouver, Canada: PME, 184˗185.
  • Van den Heuvel-Panhuizen, Elia, Robitzsch (2015): M. Van den Heuvel-Panhuizen, I. Elia, A. Robitzsch, Kindergartners’ performance in two types of imaginary perspective- taking, ZDM Mathematics Education, 47/3, Germany: Springer Verlag, 345–362.
  • Wai, Lubinski, Benbow (2009): J. Wai, D. Lubinski, C. P. Benbow, Spatial ability for STEM domains: Aligning over 50 years of cumulative psychological knowledge solidi- fies its importance, Journal of Educational Psychology, 101/4, USA: American Psychologi- cal Association, 817–835.
  • Young, Levine, Mix (2018): C. J. Young, S. C. Levine, K. S. Mix, The Connection between Spatial and Mathematical Ability across Development, Frontiers in Psychology, 9/755, Lausanne, Switzerland: Frontiers.