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Diagnostic Assessment in Arithmetic

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Part of the book series: New ICMI Study Series ((NISS,volume 2))

Abstract

This article describes the results of different types of assessment in mathematics education. It shows how a diagnostic instrument for arithmetic has come to be used for assessing classroom instruction and for assessing national goals in Sweden. It also demonstrates how diagnostic assessment can obtain greater detail by combining the results from written tests with the results of interviews. The diagnostic assessment of students’ complex knowledge and skills lags behind other areas in mathematics education.

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References

  • Brousseau, G.: 1984, The Crucial Role of The Didactical Contract in the Analysis and Construction of Situations in Teaching and Learning Mathematics Occasional Paper 54, IDM, Universität Bielefeld.

    Google Scholar 

  • Carpenter, T.P. & Moser, J.M.: 1984, ‘The acquisition of addition and subtraction concepts in grades one through three’, Journal for Research in Mathematics Education 13 (a), 179–202.

    Article  Google Scholar 

  • Johansson, B.:1975,Antmetikundervisning,PUMP-projektet nr 9, Pedagogiska Institutionen, Göteborgs Universitet.

    Google Scholar 

  • Johansson, B. & Kilborn, W.: 1974, Ett diagnosinstrument for aritmetikundervisning, PUMPprojektet nr 5., Pedagogiska Institutionen, Göteborgs Universitet.

    Google Scholar 

  • Johansson, B.: 1986, ‘Kunskaper om kunskaper och färdigheter i matematik’ [Knowledge of and skills in mathematics], Institutionen för Ämnesdidaktik, Göteborgs Universitet.

    Google Scholar 

  • Johansson, B. & Kilborn, W.: 1982, Räkning, Liber Utbildningsforlaget, Stockholm.

    Google Scholar 

  • Kilborn, W.: 1979, PUMP-projektet. Bakgrund och erfarenheter [Background and Results],Liber Utbildningsforlaget, Stockholm.

    Google Scholar 

  • Lgr 80: 1980, Läroplan for gnmdskolan. Allmän del,Liber Utbildningsforlaget, Stockholm.

    Google Scholar 

  • Nesher, P. & Kilpatrick, J. (Eds.): 1990, Mathematics and cognition: A research synthesis by the International Group for the Psychology of Mathematics Education ( ICMI Study Series),Cambridge University Press, Cambridge.

    Google Scholar 

  • Vergnaud, G.: 1990, ‘Epistemology and psychology of mathematics education’, in Nesher, P. & Kilpatrick, J. (Eds.), Mathematics and cognition: A research synthesis by the International Group for the Psychology of Mathematics Education (ICMI Study Series), Cambridge University Press, Cambridge.

    Google Scholar 

  • Wigforss, F.: 1925, Den grundläggande matematikundervisningen [Basics in Teaching Mathematics], Magnus Bergvalls förlag, Stockholm.

    Google Scholar 

  • Wigforss, F.: 1931, ‘Rostads standardprov i sifferräkning’, in Rostads elevförbunds arsskrift 1931, 86–100, Rostads elevförbund, Kalmar.

    Google Scholar 

  • Wigforss, F.: 1934, ‘Rostads standardprov och tabeller i problemlösning’, in Siimyck ur Rostads elevförbunds drsskrift 1934, 3–9, Rostads elevförbund, Kalmar.

    Google Scholar 

  • Wigforss, F.: 1937, ‘Hur reda sig barnen med additionsuppgifterna room talomrddet 1–10?’, in Särtryck ur Rostads elevförbunds ärsskrift 1937, 14–32, Rostads elevförbund, Kalmar.

    Google Scholar 

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© 1993 Springer Science+Business Media Dordrecht

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Johansson, B. (1993). Diagnostic Assessment in Arithmetic. In: Niss, M. (eds) Investigations into Assessment in Mathematics Education. New ICMI Study Series, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1974-2_11

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  • DOI: https://doi.org/10.1007/978-94-017-1974-2_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4232-3

  • Online ISBN: 978-94-017-1974-2

  • eBook Packages: Springer Book Archive

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