### The views of primary education teachers on the verification of multiplication

#### Abstract

Learning and using the four mathematical operations -addition, subtraction, multiplication and division- are very important in the primary school syllabus curriculum. The verifications for the correctness of the operations are simple since they can be justified with the use of basic mathematical properties. However, this is not the case for one of the verifications of multiplication which seems to be preferred by most of the elementary school teachers in their practice. With this verification, the control of multiplication’s correctness is only a necessary but not sufficient condition and it is based on the Numbers’ Theory. In this paper we present the findings of a study on the views of a

group consisted of twenty four elementary school teachers using activities related to the operation of the multiplication and its verification.

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PDF#### References

G. Vergnaud, The Theory of Conceptual Fields. Human Development, S. Karger AG (ed.), Basel (2009), v.52, 83-94.

G. Vergnaud, Multiplicative Structures, Acquisition of mathematics concepts and processes, R.A. Lesh M. Landau (eds), London Academic Press (1983), p.127-174.

G. Vergnaud, Multiplicative structures, Number concepts and operations in the middle grades Hiebert J. & Behr M. (eds), Hillsdale, NJ: Lawrence Erlbaum Associates (1988), p.141-161.

G. Vergnaud, Towards a cognitive theory of practice, Mathematics education as a research domain: A search for identity, an ICMI study Sierpinska A. & Kilpatrick J. (eds), The Netherlands: Kluwer Academic Publishers, Dordrecht (1997), v.2, 227-240.

D. Kchemann : J. Hodgen : M. Brown Models and representations for the learning of multiplicative reasoning: Making sense using the Double Number Line Proceedings of the British Society for Research into Learning Mathematics (March 2011), 31, no.1: 85-90.

L. West An Introduction to Various Multiplication Strategies thesis for the Master of Arts in Teaching with a Specialization in the Teaching of Middle Level Mathematics in the Department of Mathematics, Lewis J. advisor, Bellevue, NE (2011), 1-22.

J.A. Van de Walle Elementary and Middle School Mathematics Teaching Developmentally Boston: Pearson Education Inc., 6th edition (2007)

O. Oystein Invitation to Number Theory The Mathematical Association of America (1967).

H.C. Hill: B. Rowan: D. Loewenberg Ball Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement American Educational Research Journal, 42 (2005), no. 2: 371-406.

DOI: http://dx.doi.org/10.23755/rm.v27i1.32

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