Assessing Students’ Mathematical Knowledge with Fuzzy Logic

Assessing student mathematical knowledge is an important factor in the mathematics learning process because students obtain important feedback to improve their knowledge and learning. Despite the importance of student assessment, several researchers have shown that student grades comprise noncogniti...

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Main Authors: Daniel Doz, Darjo Felda, Mara Cotič
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Education Sciences
Subjects:
Online Access:https://www.mdpi.com/2227-7102/12/4/266
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author Daniel Doz
Darjo Felda
Mara Cotič
author_facet Daniel Doz
Darjo Felda
Mara Cotič
author_sort Daniel Doz
collection DOAJ
description Assessing student mathematical knowledge is an important factor in the mathematics learning process because students obtain important feedback to improve their knowledge and learning. Despite the importance of student assessment, several researchers have shown that student grades comprise noncognitive and metacognitive factors and teachers’ prejudices and beliefs. One method to obtain a more objective view of student mathematical knowledge is through standardized assessments. In this paper, we analyze two methods of assessing student mathematical knowledge by considering their written and oral grades and achievements on the Italian National Assessment of Knowledge (INVALSI). The final grade was produced using the fuzzy logic inference system. It was tested on a sample of 2279 Grade 13 Italian high school students, who had both an oral and written grade in mathematics and who took the INVALSI assessment in the school year 2020–2021. Both tested fuzzy-logic-based assessment methods lowered the mean grades.
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spelling doaj.art-992e3bc26b1040a68d36faa0e34300352023-12-01T01:40:42ZengMDPI AGEducation Sciences2227-71022022-04-0112426610.3390/educsci12040266Assessing Students’ Mathematical Knowledge with Fuzzy LogicDaniel Doz0Darjo Felda1Mara Cotič2Faculty of Education, University of Primorska, 6000 Koper, SloveniaFaculty of Education, University of Primorska, 6000 Koper, SloveniaFaculty of Education, University of Primorska, 6000 Koper, SloveniaAssessing student mathematical knowledge is an important factor in the mathematics learning process because students obtain important feedback to improve their knowledge and learning. Despite the importance of student assessment, several researchers have shown that student grades comprise noncognitive and metacognitive factors and teachers’ prejudices and beliefs. One method to obtain a more objective view of student mathematical knowledge is through standardized assessments. In this paper, we analyze two methods of assessing student mathematical knowledge by considering their written and oral grades and achievements on the Italian National Assessment of Knowledge (INVALSI). The final grade was produced using the fuzzy logic inference system. It was tested on a sample of 2279 Grade 13 Italian high school students, who had both an oral and written grade in mathematics and who took the INVALSI assessment in the school year 2020–2021. Both tested fuzzy-logic-based assessment methods lowered the mean grades.https://www.mdpi.com/2227-7102/12/4/266mathematicsfuzzy logicassessmentINVALSIgrades
spellingShingle Daniel Doz
Darjo Felda
Mara Cotič
Assessing Students’ Mathematical Knowledge with Fuzzy Logic
Education Sciences
mathematics
fuzzy logic
assessment
INVALSI
grades
title Assessing Students’ Mathematical Knowledge with Fuzzy Logic
title_full Assessing Students’ Mathematical Knowledge with Fuzzy Logic
title_fullStr Assessing Students’ Mathematical Knowledge with Fuzzy Logic
title_full_unstemmed Assessing Students’ Mathematical Knowledge with Fuzzy Logic
title_short Assessing Students’ Mathematical Knowledge with Fuzzy Logic
title_sort assessing students mathematical knowledge with fuzzy logic
topic mathematics
fuzzy logic
assessment
INVALSI
grades
url https://www.mdpi.com/2227-7102/12/4/266
work_keys_str_mv AT danieldoz assessingstudentsmathematicalknowledgewithfuzzylogic
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