Hoderegning og valg av arbeidsmetode ved elementære utregninger i addisjon, subtraksjon, multiplikasjon og divisjon
DOI:
https://doi.org/10.7146/nomad.v8i2.146707Abstract
I dag blir kalkulator og andre elektroniske hjelpemidler tatt stadig mer i bruk, og hoderegning er ikke lenger et like naturlig førstevalg som arbeidsmetode ved en elementær utregning. Artikkelen gir først og fremst en oversikt over faktorene som har skapt denne situasjonen, og de utfordringer som hoderegningen og skolen står ovenfor dersom hoderegning igjen skal bli akseptert som førstevalg ved elementære utregninger. Videre blir dagens mange krav om økt bruk av tradisjonelle virkemidler i undervisningen tatt på alvor og vurdert i forhold til integrering med dagens rådende undervisning i forbindelse med hoderegning. Konklusjonene viser at et initiativ til å styrke hoderegningsbruken bør ta utgangspunkt i at elevene må se sitt eget behov for hoderegning dersom det skal kunne forventes at de skal øke bruken av hoderegning på bekostning av lite nyansert bruk av kalkulator, og at en integrering av tradisjonelle virkemidler med rådende undervisningsprinsipp bør kunne vurderes på grunnlag av erfaringer og data fra forsøk på slik integrering.
References
Ashcraft, M. H. (1995). Cognitive Psychology and Simple Arithmetic: A Review and Summary of New Directions. Mathematical Cognition, 1(1), 3-34.
Askew, M. (1997). Mental Methods of Computation. Mathematics Teaching, 160, 7-8.
Aze, I. (1988). More on Mental Methods in Mathematics. Mathematics in School, 17(2), 30-31.
Bell, A. (1993). Principles for the Design of Teaching. Educational Studies in Mathematics, 24 (1), 5-34. https://doi.org/10.1007/BF01273293
Berg Eriksen, T., et.al. (1986). Filosofi og Vitenskap. Fra antikken til vår egen tid. Oslo: Universitetsforlaget.
Biggs, J.B. (1967). Mathematics and The Conditions of Learning: A Study of Arithmetic in the Primary School. Sussex: King, Thorne & Stace.
Breiteig, T., & Venheim, R. (1993). Matematikk for Lærere, Bind I. Oslo: Tano.
Brown, E. (1997). Effective Exercises in the Maths Classroom. Mathematics Teaching, 160, 12-15.
Carpenter, T. P., et al. (1998). A Longitudinal Study of Invention and Understanding in Children's Multidigit Addition and Subtraction. Journal for Research in Mathematics Education, 29(1), 3-20. https://doi.org/10.2307/749715
Carraher, T. N., Carraher, D. & Schliemann, A.D. (1985). Mathematics in the Streets and in Schools. British Journal of Developmental Psychology, 3, 21-29. https://doi.org/10.1111/j.2044-835X.1985.tb00951.x
Cockcroft, W.H. (1982). Mathematics Counts. London: HMSO.
Darken, B. (1991). Arithmetic + Calculators + College Students = ? Journal of Developmental Education, 15(2), 6-12.
Fauvel, J., & Gray, J. (1987). The History of Mathematics - A Reader. London: The MacMillan Press.
Forsberg, B. (1992). Miniräknaren i min klass. Nämnaren, 19(3), 26-30.
French, D. (1997). Mental Methods in Mathematics: A First Resort. Leicester: The Mathematical Association.
Freudenthal, H. (1968). Why to Teach Mathematics so as to be Useful. Educational Studies in Mathematics, 1(1), 3-8. https://doi.org/10.1007/BF00426224
Fuson, K.C. (1992). Research on Whole Number Addition and Subtraction. In D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning. (pp.243-275). New York: Macmillan.
Gammon, A. (1997). Mental Mathematics Tests: How Do I React? Mathematics Teaching, 160, 22-23.
Ginsburg, H.P., Posner, J.K. & Russell, R.L. (1981). The Development of Mental Addition as a Function of Schooling and Culture. Journal of Cross-Cultural Psychology, 12(2), 163- 178. https://doi.org/10.1177/0022022181122003
Girling, M. (1977). Towards a Definition of Basic Numeracy. Mathematics Teaching, 81, 4-5.
Groen, G.J., & Parkman, J.M. (1972). A Chronometric Analysis of Simple Addition. Psychological Review, 79(4), 329-343. https://doi.org/10.1037/h0032950
Groves, S. (1994). Calculators: A Learning Environment To Promote Number Sense. Report of Annual Meeting of the American Educational Research Association,
Haara, F.O. (1999). Hoderegning og valg av arbeidsmetode. Utprøving av et enkelt tiltak for å øke elevenes bevissthet omkring valg av arbeidsmetode, samt øke bruken av hoderegning på bekostning av unyansert bruk av andre arbeidsmetoder. Hovedoppgave i matematikkdidaktikk ved Høgskolen i Agder, Norge.
Hatch, G. (1998). Replace Your Mental Arithmetic Test With a Game! Mathematics in School, Januar, 27(1), 32-34.
Hedrén, R. (1985). The Hand-Held Calculator at the Intermediate Level. Educational Studies in Mathematics, 16(2), 163-179. https://doi.org/10.1007/PL00020738
Hope, J.A. (1986). Mental Calculation: Anachronism or Basic Skill? In H.L. Schouen (Ed.), Estimation and Mental Computation. (pp. 45-54). Reston, Virginia: The national Council of Teachers of Mathematics.
Imsen, G. (1991). Elevens Verden. Innføring i pedagogisk psykologi. Oslo: Tano.
Jaworski, B. (1995). Constructing Mathematics, Learning and Teaching. In E. Pehkokken, NORMA-94, Conference Proceeding of the Nordic Conference on Mathematical Teaching, Research report 141, (pp. 21-34).
Katz, V. J. (1993). A History of Mathematics. An Introduction. New York: Harper Collins College Publishers.
KUD (1974). Mønsterplanen for grunnskolen. Oslo: H. Aschehoug & Co.
KUD (1988). Mønsterplanen av 1987. Oslo: H. Aschehoug & Co.
KUF (1996). Læreplanverket for den 10-årige grunnskolen. Oslo: Nasjonalt Læremiddel senter.
Kuhn, T.S. (1962). The Structure of Scientific Revolutions. Chicago: University of Chicago Press.
Lave, J. (1988). Cognition in Practice. Cambridge: Cambridge University Press. https://doi.org/10.1017/CBO9780511609268
Lindblom, A. (1998). Gymnasieelevers färdigheter i huvudräkning och överslagsräkning. Nämnaren, 25(4), 30-35.
MacLeod, A. (1998). Trash the Calculator, it ́s Back to Basics in Britain. The Christian Science Monitor, 28Juli, 1.
Maier, E. (1977). Folk Math. Instructor, 6, 84-94. https://doi.org/10.3928/0090-4481-19770901-13
Marklund, C.S. (1993). För mycket algoritmräknande? Nämnaren, 20(3), 13-16.
McIntosh, A. (1995). Vitalisera huvudräkningen. Nämnaren, 3, 23-27.
McIntosh, A., Reys, B.J. & Reys, R.E. (1992). A Proposed Framework for Examining Basic Number Sense. For the Learning of Mathematics, 12(3), 2-8 (44).
Meissner, H. (1980). Konsequenzen aus der Benutzung von Taschenrechnern. In H. Meissner (Ed.), Kongressbericht des Visodata München. (pp. 73-82). München. https://doi.org/10.1007/978-3-642-81612-3_9
Nelson, C. (1989). Bring Back the Old Math. The American Spectator, November, 36-37.
O'Leary, J. (1997). National Maths Targets Too Low, says Woodhead. The Times, 25.September.
Omdal, L.J. (1998). Ikke glupe nok. Verdens Gang, 25.Februar, 15.
Orion, A. (1992). Learning Mathematics. Issues, Theory and Classroom Practice. London: Cassell.
Plunkett, S. (1979). Decomposition and All That Rot. Mathematics in School, 8(1), 2-5.
Reed, H.J. & Lave, J. (1981). Arithmetic as a Tool for Investigating Relations between Culture and Cognition. In R.W. Casson (Ed.), Language, Culture and Cognition: Anthropological Perspectives. New York: Macmillan.
Reys, B., & Reys, R. (1995). Vad är god taluppfatning? Nämnaren, 22(2), 23-29.
Ruthven, K. (1998). The Use of Mental, Written and Calculator Strategies of Numerical Computation by Upper Primary Pupils. British Educational Research Journal, 24(1), 21-43. https://doi.org/10.1080/0141192980240103
Shuard, H., et al. (1991). Primary Initiatives in Mathematics Education. Calculators, Children and Mathematics. The Calculator-Aware Number Curriculum. London: Simon & Shuster.
Siegler, R.S., & Shrager, J. (1984). Strategy Choices in Addition and Subtraction: How Do Children Know What To Do? In C. Sophian (Ed.), Origins of Cognitive Skills. The Eighteenth Annual Carnegie Symposium on Cognition. (pp. 229-293). Hillsdale, New Jersey: Lawrence Erlbaum Ass.
Sillars, L. (1996). When to Use Your Head. Innumeracy, Calculators and Alberta's New Math Curriculum. Alberta Report/Western Report, 23, 49, 50.
Sowder, J.T. (1990). Mental Computation and Number Sense. Arithmetic Teacher, Mars, 37(2), 18-20. https://doi.org/10.5951/AT.37.7.0018
Sowder, J.T. (1992). Estimation and Number Sense. In D.A. Grouws (Ed.), Handbook of Research on Mathematics Teaching and Learning. (pp.371-389). New York: Macmillan.
Stacey, K., & Groves, S. (1994). Calculators in Primary Mathematics. Report of Annual Meeting of the National Council of Teachers of Mathematics,
Thompson, G.W., et al. (1992). Gender Differences in an Experimental Program on Arithmetic Problem Solving and Computation. Mid-Western Educational Researcher, 5, 1, 20-22.
Usiskin, Z. (1983). One point of View: Arithmetic in a Calculator Age. Arithmetic Teacher, Mai, 2. https://doi.org/10.5951/AT.30.9.0002
Welsh, R. (1992). To What Extent Do Grades 3 and 4 Children Make Spontaneous Use of Calculators for Computation? In B. Southwell, B. Perry, & K. Owens (Eds.), Space - The First and Final Frontier. (pp. 568-573). Nepean, NSW: Mathematics Education Research Group of Australasia.
Wiebe, J.H. (1987). Calculators and the Mathematics Curriculum. Arithmetic Teacher, 34(6), 57-60. https://doi.org/10.5951/AT.34.6.0057
Wing, T. (1996). Working Towards Mental Arithmetic...And (Still) Counting. Mathematics Teaching, 157, 10-15.
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