Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Estimation of the Physical Quantities01:05

Estimation of the Physical Quantities

8.8K
On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
8.8K
Numerical Calculations01:24

Numerical Calculations

1.3K
In engineering applications, the representation of the numerical value is critical. Presenting or reporting the answer is one of the essential parts of engineering practices. Numerical calculations are performed using handheld calculators or computers since numerically accurate answers are always preferred.
The solution to a problem is obtained using different methods. While manually solving algebraic symbols is one of the most common methods, the graphical method is often preferred. Computers...
1.3K
Midpoint Rule01:20

Midpoint Rule

221
Approximating areas under curved boundaries is a common problem in applied mathematics, particularly when an exact calculation is difficult or impractical. One effective numerical method for this purpose is the Midpoint Rule, which provides an estimate of the area under a curve by using rectangular approximations over a specified interval.Description of the Midpoint RuleThe Midpoint Rule begins by dividing the given interval into a number of equal subintervals. For each subinterval, the...
221
Approximate Integration01:24

Approximate Integration

143
In many practical and theoretical contexts, the exact value of a definite integral may be inaccessible. This limitation typically arises when the antiderivative of a function is either unknown or cannot be expressed in a closed mathematical form. Alternatively, it can occur when a function is defined not by a formula but by a finite set of empirical data points, such as those collected during experiments. In these cases, approximate integration techniques provide a valuable solution.One of the...
143
Real Number Operations01:27

Real Number Operations

480
The concept of real numbers includes all the values that can be represented on a continuous number line. The system began with basic counting values used for enumeration. It later expanded to include values that represent the absence of quantity and opposites of the counting values. When situations required expressing parts of a whole or dividing quantities evenly, values capable of representing such proportions were developed. When written using decimal notation, these values can end or repeat...
480
Statistical Analysis: Overview01:11

Statistical Analysis: Overview

18.6K
When we take repeated measurements on the same or replicated samples, we will observe inconsistencies in the magnitude. These inconsistencies are called errors. To categorize and characterize these results and their errors, the researcher can use statistical analysis to determine the quality of the measurements and/or suitability of the methods.
One of the most commonly used statistical quantifiers is the mean, which is the ratio between the sum of the numerical values of all results and the...
18.6K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Sleep deprivation disrupts the gatekeeping role of confidence in belief updating.

Journal of experimental psychology. Applied·2026
Same author

Brace yourself: neural and computational insights into the experience of mental effort.

Cerebral cortex (New York, N.Y. : 1991)·2025
Same author

Metacognition in motion: The interplay between motor evidence and visual information in shaping sensorimotor confidence.

Cortex; a journal devoted to the study of the nervous system and behavior·2025
Same author

Tablet-based arithmetic fluency assessment reveals developments in math cognition and math achievement from childhood to adolescence.

NPJ science of learning·2025
Same author

Temporal metacognition: Direct readout or mental construct? The case of introspective reaction time.

Journal of experimental psychology. General·2025
Same author

How Does Parental Monitoring Reduce Adolescent Substance Use? Preliminary Tests of Two Potential Mechanisms.

Journal of studies on alcohol and drugs·2024
Same journal

Poorer event-based compared to time-based prospective memory in a computerized household chores task.

Psychological research·2026
Same journal

Self-other discrimination in face recognition depending on personal familiarity: investigating a sample consisting of Japanese and Han Chinese women.

Psychological research·2026
Same journal

Sounds of creativity: musical, creative, and language factors associated with singing and creative singing.

Psychological research·2026
Same journal

Does sport expertise bridge the sex gap in mental rotation? Bayesian evidence for the critical role of visuospatial demands.

Psychological research·2026
Same journal

The development of an optimal learning strategy for high-similarity categories: the effect of example sequence on children's category learning.

Psychological research·2026
Same journal

Musical training increases anticipatory responding and predictive control in sequence learning.

Psychological research·2026
See all related articles

Related Experiment Video

Updated: Apr 16, 2026

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
10:58

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA

Published on: August 28, 2021

5.1K

Assessing the Approximate Number System: no relation between numerical comparison and estimation tasks.

Mathieu Guillaume1,2, Wim Gevers3, Alain Content3

  • 1Cognitive Science and Assessment Institute (COSA), Department of Education, Culture, Cognition and Society (ECCS), University of Luxembourg, Walferdange, Luxembourg. maguilla@ulb.ac.be.

Psychological Research
|March 7, 2015
PubMed
Summary
This summary is machine-generated.

This study found that the coefficient of variation (CV) from numerical estimation tasks, but not the Weber fraction (w) from comparison tasks, correlates with arithmetic skills. This suggests the method used to measure the Approximate Number System (ANS) impacts findings.

More Related Videos

Universal Screening for Prevention of Reading, Writing, and Math Disabilities in Spanish
14:43

Universal Screening for Prevention of Reading, Writing, and Math Disabilities in Spanish

Published on: July 18, 2020

8.7K
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

3.1K

Related Experiment Videos

Last Updated: Apr 16, 2026

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
10:58

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA

Published on: August 28, 2021

5.1K
Universal Screening for Prevention of Reading, Writing, and Math Disabilities in Spanish
14:43

Universal Screening for Prevention of Reading, Writing, and Math Disabilities in Spanish

Published on: July 18, 2020

8.7K
A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments
08:12

A Psychophysics Paradigm for the Collection and Analysis of Similarity Judgments

Published on: March 1, 2022

3.1K

Area of Science:

  • Cognitive psychology
  • Neuroscience
  • Educational psychology

Background:

  • The relationship between the Approximate Number System (ANS) and mathematical abilities is debated.
  • Existing research shows inconsistent findings regarding the correlation between ANS acuity and arithmetic competence.
  • Discrepancies may arise from different methods used to assess ANS acuity.

Purpose of the Study:

  • To investigate the relationship between two measures of ANS acuity and arithmetic performance.
  • To examine the correlation between the Weber fraction (w) from numerical comparison and the coefficient of variation (CV) from numerical estimation.
  • To clarify the validity of different ANS measures in relation to mathematical skills.

Main Methods:

  • Participants' arithmetic performance was assessed.
  • Two measures of ANS acuity were computed: the Weber fraction (w) from a numerical comparison task and the coefficient of variation (CV) from a numerical estimation task.
  • The correlation between each ANS measure and arithmetic performance was analyzed, along with the interrelation between w and CV.

Main Results:

  • Arithmetic performance significantly correlated with the coefficient of variation (CV) derived from numerical estimation.
  • No significant correlation was found between arithmetic performance and the Weber fraction (w) derived from numerical comparison.
  • The measures w and CV did not correlate with each other, and w was influenced by non-numerical visual cues.

Conclusions:

  • The findings challenge the common use of the Weber fraction (w) as a sole indicator of ANS acuity.
  • The study questions the direct relevance of correlating w with arithmetic skills without understanding its measurement nuances.
  • The coefficient of variation (CV) from estimation tasks appears to be a more reliable index of ANS acuity related to arithmetic competence.