scholarly journals Numerical development in preschool: Examining potential mediators of children’s approximate number system and mathematics achievement.

2021 ◽  
Author(s):  
Nicole R. Scalise ◽  
David J. Purpura
Keyword(s):  
Mathematics Achievement ◽  
Number System ◽  
Approximate Number System ◽  
Numerical Development ◽  
And Mathematics

The Relationship Between Approximate Number System and Mathematics Competency in Indonesian Primary School Children

2018 ◽  
Vol 24 (8) ◽  
pp. 6259-6264
Author(s):  
Kevin Wijaya ◽  
Fransiskus X Ivan ◽  
Adre Mayza
Keyword(s):  
Response Time ◽  
Primary School ◽  
School Children ◽  
Weber Fraction ◽  
Number System ◽  
Primary School Children ◽  
Methodological Aspect ◽  
Approximate Number System ◽  
And Mathematics ◽  
The Relationship

The purpose of this study is to investigate the relationship between Approximate Number System (ANS), a cognitive system which represents and estimates the cardinality of a set, and mathematics competency of primary school children. Many findings on ANS and its relations with mathematics competency showed inconsistency. This research is the first of its kind in Indonesia. 318 fourth and fifth-grade primary school students were instructed to perform non-symbolic (dots) comparison task to measure their Weber fraction (w), accuracy (percentage correct), and response time (ms) which are the measurement for ANS acuity. Mathematics competencies of the students were taken from school’s report card and the data were standardized for each school separately. Correlation and regression linear analysis were conducted to find the relationship between ANS acuity and mathematics’ competency. Analysis showed there was a weak but significant (p < 0.05) correlation between two measurements of ANS acuity, namely the Weber fraction and accuracy, with mathematics competency, but not response time (p > 0.05). Further analysis with linear regression showed there was no relationship between the two variables and mathematics score, which disproves this correlation. This study shows that there is no relationship between children’s ANS acuity and mathematics competency. Intrinsic factors such as children’s attention, engagement, and motivation, also methodological aspect needed further consideration. Future studies are needed to investigate the methodological aspect related to the measurement of ANS and mathematics’ competency as there is no ‘gold standard’ yet to measure ANS.

scholarly journals Developmental differences in approaches to nonsymbolic comparison tasks

2018 ◽  
Vol 72 (3) ◽  
pp. 436-445 ◽  
Author(s):  
Sarah Clayton ◽  
Matthew Inglis ◽  
Camilla Gilmore
Keyword(s):  
Mathematics Achievement ◽  
Task Performance ◽  
Visual Information ◽  
Number System ◽  
Developmental Differences ◽  
Approximate Number System ◽  
Numerical Information ◽  
Formal Mathematics ◽  
Visual Characteristics ◽  
The Relationship

Nonsymbolic comparison tasks are widely used to measure children’s and adults’ approximate number system (ANS) acuity. Recent evidence has demonstrated that task performance can be influenced by changes to the visual characteristics of the stimuli, leading some researchers to suggest it is unlikely that an ANS exists that can extract number information independently of the visual characteristics of the arrays. Here, we analysed 124 children’s and 120 adults’ dot comparison accuracy scores from three separate studies to investigate individual and developmental differences in how numerical and visual information contribute to nonsymbolic numerosity judgements. We found that, in contrast to adults, the majority of children did not use numerical information over and above visual cue information to compare quantities. This finding was consistent across different studies. The results have implications for research on the relationship between dot comparison performance and formal mathematics achievement. Specifically, if most children’s performance on dot comparison tasks can be accounted for without the involvement of numerical information, it seems unlikely that observed correlations with mathematics achievement stem from ANS acuity alone.

scholarly journals Editorial: Approximate Number System and Mathematics

2019 ◽  
Vol 10 ◽  
Author(s):  
Jingguang Li ◽  
Xinlin Zhou ◽  
Marcus Lindskog
Keyword(s):  
Number System ◽  
Approximate Number System ◽  
And Mathematics

Approximate Arithmetic Abilities in Childhood

2014 ◽  
Author(s):  
Camilla Gilmore
Keyword(s):  
Preschool Children ◽  
Mathematics Achievement ◽  
Potential Role ◽  
Number System ◽  
Approximate Number System ◽  
Exact Arithmetic ◽  
Symbolic Representations

This article reviews recent research exploring children’s abilities to perform approximate arithmetic with non-symbolic and symbolic quantities, and considers what role this ability might play in mathematics achievement. It has been suggested that children can use their approximate number system (ANS) to solve approximate arithmetic problems before they have been taught exact arithmetic in school. Recent studies provide evidence that preschool children can add, subtract, multiply, and divide non-symbolic quantities represented as dot arrays. Children can also use their ANS to perform simple approximate arithmetic with non-symbolic quantities presented in different modalities (e.g. sequences of tones) or even with symbolic representations of number. This article reviews these studies, and consider whether children’s performance can be explained through the use of alternative non-arithmetical strategies. Finally, it discusses the potential role of this ability in the learning of formal symbolic mathematics.

scholarly journals Is the ANS linked to mathematics performance?

2017 ◽  
Vol 40 ◽  
Author(s):  
Matthew Inglis ◽  
Sophie Batchelor ◽  
Camilla Gilmore ◽  
Derrick G. Watson
Keyword(s):  
Experimental Studies ◽  
Number System ◽  
Causal Link ◽  
Mathematics Performance ◽  
Curve Analysis ◽  
Approximate Number System ◽  
Evidential Value ◽  
And Mathematics

AbstractLeibovich et al. argue persuasively that researchers should not assume that approximate number system (ANS) tasks harness an innate sense of number. However, some studies have reported a causal link between ANS tasks and mathematics performance, implicating the ANS in the development of numerical skills. Here we report a p-curve analysis, which indicates that these experimental studies do not contain evidential value.

EKSPERIMENTASI MODEL PEMBELAJARAN KOOPERATIF TIPE STUDENT TEAMS ACHIEVEMENT DIVISIONS MODIFIKASI PENEMUAN TERBIMBING TERHADAP PRESTASI BELAJAR MATEMATIKA DITINJAU DARI KEMAMPUAN VERBAL

2017 ◽  
Vol 15 (1) ◽  
pp. 100
Author(s):  
Herlina Herlina
Keyword(s):  
Mathematics Achievement ◽  
Cooperative Learning ◽  
Verbal Ability ◽  
Learning Model ◽  
Learning Achievement ◽  
Guided Discovery ◽  
Verbal Skills ◽  
Student Teams ◽  
And Mathematics ◽  
Better Than

The purpose of this study was to compare the learning achievement using cooperative learning model Student Teams Achievement Divisions with cooperative learning model Student Teams Achievement Divisions modification of guided discovery in terms of verbal abality. Based on the results of the study concluded that (1) based on a model of learning, the mathematics achievement of students who use cooperative learning model Student Teams Achievement Divisions as good with mathematics achievement of students who use cooperative learning model Student Teams Achievement Divisions modifications guided discovery, both onstudents who have the high verbal skills, medium and low, (2) base on terms of verbal skills, mathematics achievement of students who have high verbal ability is better than mathematics achievement of students who have medium and low verbal ability, and mathematics achievement of students have medium verbal skillsbetter than mathematics achievement of students have the ability low verbal skills. Tujuan penelitian ini adalah untuk mengetahui perbandingan prestasi belajar yang menggunakan model pembelajaran kooperatif tipe Student Teams Achievement Divisions dengan model pembelajaran kooperatif tipe Student Teams Achievement Divisions modifikasi penemuan terbimbing ditinjau dari kemamuan verbal. Berdasarkan hasil penelitian disimpulkan bahwa (1) berdasarkan model pembelajaran, prestasi belajar matematika peserta didik yang menggunakan model pembelajaran kooperatif tipe Student Teams Achievement Divisions sama baiknya dengan prestasi belajar matematika peserta didik yang dikenai model pembelajaran kooperatif tipe Student Teams Achievement Divisions modifikasi penemuan terbimbing,baik pada peserta didik yang memiliki kemampuan verbal tinggi, sedang dan rendah, (2) ditinjau dari kemampuan verbal, peserta didik yang memiliki kemampuan verbal tinggi lebih baik daripada peserta didik yang memiliki kemampuan verbal sedang dan rendah, dan peserta didik yang memiliki kemampuan verbal sedang lebih baik daripada peserta didik yang memiliki kemampuan verbal rendah.

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