scholarly journals Developmental relations between mathematics anxiety, symbolic numerical magnitude processing and arithmetic skills from first to second grade

2021 ◽  
pp. 1-21
Author(s):  
Riikka Mononen ◽  
Markku Niemivirta ◽  
Johan Korhonen ◽  
Marcus Lindskog ◽  
Anna Tapola
Keyword(s):  
Mathematics Anxiety ◽  
Second Grade ◽  
Numerical Magnitude ◽  
Magnitude Processing

scholarly journals Developmental Relations between Mathematics Anxiety, Symbolic Numerical Magnitude Processing, and Arithmetic Skills from First to Second Grade

2021 ◽  
Author(s):  
Riikka Mononen ◽  
Markku Niemivirta ◽  
Johan Korhonen ◽  
Marcus Lindskog ◽  
Anna Tapola
Keyword(s):  
Mathematics Anxiety ◽  
Performance Test ◽  
Longitudinal Research ◽  
Rank Order ◽  
Change Score ◽  
Mathematics Performance ◽  
Numerical Magnitude ◽  
Magnitude Processing ◽  
And Gender ◽  
Over Time

We investigated the levels and changes in mathematics anxiety (MA), symbolic numerical magnitude processing (SNMP) and arithmetic skills, and how those changes are linked to each other. Children’s (n = 264) MA, SNMP and arithmetic skills were measured in Grade 1, and again in Grade 2, including also a mathematics performance test. All three constructs correlated significantly within each time point, and the rank-order stability over time was high, particularly in SNMP and arithmetic skills. By means of latent change score modeling, we found overall increases in SNMP and arithmetic skills over time, but not in MA. Most interestingly, changes in arithmetic skills and MA were correlated (i.e., steeper increase in arithmetic skills was linked with less steep increase in MA), as were changes in SNMP and arithmetic skills (i.e., improvement in SNMP was associated with improvement in arithmetic skills). Only the initial level of arithmetic skills and change in it predicted mathematics performance. The only gender difference, in favour of boys, was found in SNMP skills. The differential effects associated with MA (developmentally only linked with arithmetic skills) and gender (predicting only changes in SNMP) call for further longitudinal research on the different domains of mathematical skills.

scholarly journals Symbolic Numerical Magnitude Processing Is as Important to Arithmetic as Phonological Awareness Is to Reading

PLoS ONE ◽  
2016 ◽  
Vol 11 (3) ◽  
pp. e0151045 ◽  
Author(s):  
Kiran Vanbinst ◽  
Daniel Ansari ◽  
Pol Ghesquière ◽  
Bert De Smedt
Keyword(s):  
Phonological Awareness ◽  
Numerical Magnitude ◽  
Magnitude Processing

scholarly journals Taking the Relational Structure of Fractions Seriously: Relational Reasoning Predicts Fraction Knowledge in Elementary School Children

2019 ◽  
Author(s):  
Priya B. Kalra ◽  
Edward M. Hubbard ◽  
Percival G Matthews
Keyword(s):  
Second Graders ◽  
Fifth Grade ◽  
Second Grade ◽  
Relational Reasoning ◽  
Reasoning Ability ◽  
Verbal Iq ◽  
Relational Structures ◽  
Fifth Grade Students ◽  
Magnitude Processing ◽  
General Test

Understanding and using symbolic fractions in mathematics is critical for access to advanced STEM concepts. However, children and adults consistently struggle with fractions. Here, we take a novel perspective on symbolic fractions, considering them within the framework of relational structures in cognitive psychology, such as those studied in analogy research. We tested the hypothesis that relational reasoning ability is important for reasoning about fractions by examining the relation between scores on a domain-general test of relational reasoning (TORR Jr.) and a test of fraction knowledge consisting of various types of fraction problems in 201 second grade and 150 fifth grade students. We found that relational reasoning was a significant predictor of fractions knowledge, even when controlling for non-verbal IQ and fractions magnitude processing for both grades. The effects of relational reasoning also remained significant when controlling for overall math knowledge and skill for second graders, but was attenuated for fifth graders. These findings suggest that this important subdomain of mathematical cognition is integrally tied to relational reasoning and opens the possibility that instruction targeting relational reasoning may prove to be a viable avenue for improving children’s fractions skills.

Developmental Dyscalculia in Adults: Beyond Numerical Magnitude Impairment

2017 ◽  
Vol 51 (6) ◽  
pp. 600-611 ◽  
Author(s):  
Alice De Visscher ◽  
Marie-Pascale Noël ◽  
Mauro Pesenti ◽  
Valérie Dormal
Keyword(s):  
Mental Representation ◽  
Healthy Adults ◽  
Numerical Magnitude ◽  
Developmental Dyscalculia ◽  
Common System ◽  
The Core ◽  
Magnitude Processing ◽  
Core Deficit ◽  
Face Categorization ◽  
Numerical Magnitudes

Numerous studies have tried to identify the core deficit of developmental dyscalculia (DD), mainly by assessing a possible deficit of the mental representation of numerical magnitude. Research in healthy adults has shown that numerosity, duration, and space share a partly common system of magnitude processing and representation. However, in DD, numerosity processing has until now received much more attention than the processing of other non-numerical magnitudes. To assess whether or not the processing of non-numerical magnitudes is impaired in DD, the performance of 15 adults with DD and 15 control participants was compared in four categorization tasks using numerosities, lengths, durations, and faces (as non-magnitude-based control stimuli). Results showed that adults with DD were impaired in processing numerosity and duration, while their performance in length and face categorization did not differ from controls’ performance. Our findings support the idea of a nonsymbolic magnitude deficit in DD, affecting numerosity and duration processing but not length processing.

scholarly journals Numerical Magnitude Processing in Deaf Adolescents and Its Contribution to Arithmetical Ability

2021 ◽  
Vol 12 ◽  
Author(s):  
Lilan Chen ◽  
Yan Wang ◽  
Hongbo Wen
Keyword(s):  
Hearing Loss ◽  
Cognitive Abilities ◽  
Close Association ◽  
Form Perception ◽  
Numerical Magnitude ◽  
Congenital Deafness ◽  
Mathematical Performance ◽  
Magnitude Processing ◽  
Arithmetic Computation ◽  
Visual Form Perception

Although most deaf individuals could use sign language or sign/spoken language mix, hearing loss would still affect their language acquisition. Compensatory plasticity holds that the lack of auditory stimulation experienced by deaf individuals, such as congenital deafness, can be met by enhancements in visual cognition. And the studies of hearing individuals have showed that visual form perception is the cognitive mechanism that could explain the association between numerical magnitude processing and arithmetic computation. Therefore, we examined numerical magnitude processing and its contribution to arithmetical ability in deaf adolescents, and explored the differences between the congenital and acquired deafness. 112 deaf adolescents (58 congenital deafness) and 58 hearing adolescents performed a series of cognitive and mathematical tests, and it was found there was no significant differences between the congenital group and the hearing group, but congenital group outperformed acquired group in numerical magnitude processing (reaction time) and arithmetic computation. It was also found there was a close association between numerical magnitude processing and arithmetic computation in all deaf adolescents, and after controlling for the demographic variables (age, gender, onset of hearing loss) and general cognitive abilities (non-verbal IQ, processing speed, reading comprehension), numerical magnitude processing could predict arithmetic computation in all deaf adolescents but not in congenital group. The role of numerical magnitude processing (symbolic and non-symbolic) in deaf adolescents' mathematical performance should be paid attention in the training of arithmetical ability.

scholarly journals Core knowledge and working memory as prerequisites of early school arithmetic

2013 ◽  
Vol 3 (1) ◽  
Author(s):  
Dominique Arndt
Keyword(s):  
Working Memory ◽  
Working Memory Capacity ◽  
First Grade ◽  
Kindergarten Children ◽  
Second Grade ◽  
Numerical Magnitude ◽  
Core Knowledge ◽  
Cognitive Variables ◽  
Core System ◽  
Number Range

Recent studies showed that kindergarten children solve addition, subtraction, doubling and halving problems using the core system for the approximate representation of numerical magnitude. In Study 1, 34 first-grade students in their first week of schooling solved approximate arithmetic problems in a number range up to 100 regarding all four basic operations. Children solved these problems significantly above chance.In Study 2, 66 first graders were tested for their approximate arithmetic achievement, working memory capacity, groupitizing, phonological awareness, naming speed and early arithmetic concepts at the beginning of first grade and again at the beginning of second grade. It appears that approximate arithmetic achievement is independent from most other cognitive variables and correlates most with other variables of the mathematical domain. Furthermore, regression analyses revealed that school success was only predicted by groupitizing and central executive capacity, but not approximate arithmetic achievement, when controlling for other cognitive variables.

Sign in / Sign up

Export Citation Format

Share Document