1. Changing the Order of Factors Does Not Change the Product but Does Affect Students’ Answers, Especially Girls’ Answers
- Author
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Clelia Cascella, Giorgio Bolondi, and Chiara Giberti
- Subjects
item formulation ,Public Administration ,Psychometrics ,education ,Mathematics achievement ,Physical Therapy, Sports Therapy and Rehabilitation ,Affect (psychology) ,Decimal numbers ,Decimal ,Education ,0504 sociology ,Item response theory ,Developmental and Educational Psychology ,Computer Science (miscellaneous) ,Mathematics education ,Gender differences ,Achievement test ,Multiplication ,Misconcep-tion ,Set (psychology) ,multiplication ,Rasch model ,05 social sciences ,050401 social sciences methods ,050301 education ,Item formulation ,Settore MAT/04 - Matematiche Complementari ,Computer Science Applications ,gender differences ,mathematics achievement ,misconception ,decimal numbers ,Psychology ,0503 education - Abstract
This study is aimed at exploring how different formulations of the same mathematical item may influence students’ answers, and whether or not boys and girls are equally affected by differences in presentation. An experimental design was employed: the same stem-items (i.e., items with the same mathematical content and question intent) were formulated differently and administered to a probability sample of 1647 students (grade 8). All the achievement tests were anchored via a set of common items. Students’ answers, equated and then analysed using the Rasch model, confirmed that different formulations affect students’ performances and thus the psychometric functionality of items, with discernible differences according to gender. In particular, we explored students’ sensitivity to the effect of a typical misconception about multiplication with decimal numbers (often called “multiplication makes bigger”) and tested the hypothesis that girls are more prone than boys to be negatively affected by misconception.
- Published
- 2021
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