Presentation Schedule
Profiles of Inversion Understanding in Children Predicts Success in Solving Particular Word Problems Longitudinally (85092)
Session Chair: Boby Ho-Hong Ching
Thursday, 28 November 2024 11:50
Session: Session 2
Room: Room 605 (6F)
Presentation Type: Oral Presentation
Understanding the inverse relation between addition and subtraction may assist children in reasoning about the underlying structure of the quantitative relationships presented in word problems, but direct evidence is lacking. In this study, we examined whether 6-year-old children with a stronger profile of inversion knowledge predicted their success in solving start-unknown change problems and compare problems with inconsistent language 18 months later among 368 Chinese children. At Time 1, children were presented with inverse problems (a + b - b = a) and control problems (a + b - c = d), and we also assessed general intelligence, working memory, inhibitory control, magnitude knowledge, and word recognition ability as control variables when examining whether profiles of inversion understanding predicted word problem solving measured at 18 months later. Latent profile analysis showed three profiles: (a) strong profile: children who achieved high scores on both inverse and control (i.e., calculation) problems, (b) weak profile: children who obtained low scores on both problems, and (c) inverse profile: children who achieved high scores on the inverse problems but had low scores on the control problems. However, there was no evidence of a group of children who excelled at calculations but were unable to utilize the inversion principle. Second, after considering the control variables, there were profile differences in predicting performance in start-unknown change problems and compare problems with inconsistent language (strong profile = inverse profile > weak profile). Implications for children’s development in mathematical thinking and mathematics education are discussed.
Authors:
Boby Ho-Hong Ching, University of Macau, Macau
About the Presenter(s)
Dr Boby Ho-Hong Ching is a University Assistant Professor/Lecturer at University of Macau in Macau
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