WHOLE NUMBER ARITHMETIC—COMPETENCY

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Whole number arithmetic is an essential part of mathematical competence at the primary school level. .... Competence Level II requires the simple use of basic nowledge for routine ... curriculum, but division is limited to single-digit divisors. .... numbers and decimal fractions can be applied, and students can interpret tables.
Andreas Obersteiner(1), Gabriele Moll(1), Kristina Reiss(1), Hans Anand Pant(2) (1)

(2)

Technische Universität München, Munich, Institut für Qualitätsentwicklung im Bildungswesen, Berlin, Germany

number and operations patterns and structures

Number and Operations Competence Level I

Competence Level II

Competence Level III

Competence Level IV

Competence Level V

Patterns and Structures Competence Level I

Competence Level II

Competence Level III

Competence Level IV

Competence Level V

Item 1: Place Values

Paul wants to show the number 370 in a place value table. However, he makes a mistake. Explain his mistake.

Item 2: Number Pairs

Why does the number pair Give reasons.

not fit in with the others?

Item 3: Number Sequence

Look at the number sequence. 111

100

88

__________ 61

a) What is the missing number? b) Write down the rule for calculation!

Common Core State Standards for Mathematics The number sense: How the mind creates mathematics

Kompetenzdiagnostik. Sonderheft 8 der Zeitschrift für Erziehungswissenschaft [Diagnostic competence]

Kompetenzen von Schülerinnen und Schülern am Ende der vierten Jahrgangsstufe in den Fächern Deutsch und Mathematik. Ergebnisse des IQB-Ländervergleichs 2011 [Students’ competences in German language and mathematics at the end of fourth grade]

Bildungsstandards Deutsch und Mathematik. Leistungsmessung in der Grundschule [Standards for German language and mathematics. Performance assessment in primary schools] Mind in society: The development of higher psychological processes

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