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Daniel Doz

Abstract

In Italy, all grade 10 students are required to take the national assessment of knowledge of mathematics, which is prepared by the INVALSI Institute. No official data about any taxonomic level of the questions in these assessments has been published on the Institute’s website. In the present work, we analyzed seven INVALSI examinations for school with Slovene as language of instruction and we focused on the Gagne’s taxonomic level of each individual question in the assessments. The most frequent category in national assessments is “Routine procedural knowledge”, followed by “Basic and conceptual knowledge”. We found that, even though the interest in problem-solving activities has increased in the past years, the taxonomic level “Problem-solving knowledge” is the less frequent. Moreover, we wanted to analyze the distribution of the different taxonomic levels among the question typologies (open- and closed-type questions) and we found that questions from lower taxonomic levels are more likely to be closed-type, while “Problem-solving questions” are more likely to be open-type. Furthermore, we were interested in analyzing the distribution of taxonomic levels among the four topic dimensions “Geometry”, “Data and prevision”, “Numbers and quantities” and “Relations and functions”. We found that the taxonomic level “Problem-solving knowledge” are more present in the categories “Number and quantities” and “Relations and functions”.

Key words: mathematics, national examinations, taxonomy, Gagne.