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- Title
Beyond linearity: Using IRT‐scaled level models to describe the relation between prior proportional reasoning skills and fraction learning outcomes.
- Authors
Schadl, Constanze; Ufer, Stefan
- Abstract
Previous research on the role of prior skills like proportional reasoning skills for the development of mathematical concepts offers conclusions such as "more (prior skills) is better (for later learning)." Insights, which prior skill level goes along with which level of learning outcomes, may advance the understanding of the development of mathematical concepts. An exploratory approach is presented based on level models to describe the relation between symbolic proportional reasoning skills and fraction outcomes beyond linearity. Analyses draw on samples of German fourth to sixth graders from a scaling (2017, N = 325, 54.8% female) and longitudinal study (2018/2019, N = 436, 42.7% female). Particularly mastering natural and internal rational ratios in proportional reasoning seems relevant for successful fraction learning.
- Subjects
STUDY &; teaching of fractions; ITEM response theory; MATHEMATICS education (Elementary); REASONING; LEARNING
- Publication
Child Development, 2023, Vol 94, Issue 6, p1642
- ISSN
0009-3920
- Publication type
Article
- DOI
10.1111/cdev.13954