6533b862fe1ef96bd12c6d08

RESEARCH PRODUCT

Adaptive Number Knowledge in Secondary School Students: Profiles and Antecedents

Kaisa KanervaNoona KiuruMinna Hannula-sormunenJake McmullenErno Lehtinen

subject

515 PsychologyProcess (engineering)yläkoululaisetlcsh:BF1-990Experimental and Cognitive Psychology050105 experimental psychologyFluencylatent profile analysisMathematics educationComputingMilieux_COMPUTERSANDEDUCATIONmatemaattiset taidot0501 psychology and cognitive sciencesAlgebra over a fieldAdaptive expertiseindividual differencesStructure (mathematical logic)Numerical Analysis4. EducationApplied Mathematicslcsh:Mathematics05 social sciences050301 educationMixture modeladaptive number knowledgelcsh:QA1-939Expression (mathematics)lcsh:PsychologyFormal instructionadaptive expertisenumeerinen lukutaitoarithmetic developmentPsychology0503 education

description

Cited By :1 Export Date: 10 February 2021 Correspondence Address: McMullen, J.; Department of Teacher EducationFinland; email: jake.mcmullen@utu.fi The present study aims to examine inter-individual differences in adaptive number knowledge in secondary school students. Adaptive number knowledge is defined as a well-connected network of knowledge of numerical characteristics and arithmetic relations. Substantial and relevant qualitative differences in the strategies and expression of adaptive number knowledge have been found in primary school students still in the process of learning arithmetic. We present a study involving 879 seventh-grade students that examines the structure of individual differences in adaptive number knowledge with students who have completed one year of algebra instruction. Results of a latent profile analysis reveal a model that is similar than was previously found in primary school students. As well, arithmetic fluency and the development of arithmetic fluency are strong predictors of adaptive number knowledge latent profile membership. These results suggest that adaptive number knowledge may be characteristic of high-level performance extending into secondary school, even after formal instruction with arithmetic concludes. The present study aims to examine inter-individual differences in adaptive number knowledge in secondary school students. Adaptive number knowledge is defined as a well-connected network of knowledge of numerical characteristics and arithmetic relations. Substantial and relevant qualitative differences in the strategies and expression of adaptive number knowledge have been found in primary school students still in the process of learning arithmetic. We present a study involving 879 seventh-grade students that examines the structure of individual differences in adaptive number knowledge with students who have completed one year of algebra instruction. Results of a latent profile analysis reveal a model that is similar than was previously found in primary school students. As well, arithmetic fluency and the development of arithmetic fluency are strong predictors of adaptive number knowledge latent profile membership. These results suggest that adaptive number knowledge may be characteristic of high-level performance extending into secondary school, even after formal instruction with arithmetic concludes. © 2019, PsychOpen. All rights reserved. Peer reviewed

10.5964/jnc.v5i3.201http://jnc.psychopen.eu/article/view/201