Related Experiment Video
Updated: Mar 18, 2026
10:58
Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
Published on: August 28, 2021
5.1K
Mental Numerosity Line in the Human's Approximate Number System.
Xinlin Zhou1,2, Chaoran Shen1,2, Leinian Li1,2
11 State Key Laboratory of Cognitive Neuroscience and Learning, IDG/McGovern Institute for Brain Research, Beijing Normal University, PR China.
Experimental Psychology
|July 13, 2016
Summary
This study explored the spatial representation of non-symbolic numbers. A Spatial-Numerical Association of Response Codes (SNARC)-like effect was found for approximate numerosity, suggesting a mental number line for quantity.
Area of Science:
- Cognitive Psychology
- Neuroscience
- Numerical Cognition
Background:
- Previous research established a mental number line for symbolic digits.
- The spatial representation of non-symbolic quantities (numerosity) remains less understood.
- Investigating spontaneous spatial layouts in number processing is crucial for understanding numerical cognition.
Purpose of the Study:
- To determine if Spatial-Numerical Association of Response Codes (SNARC)-like effects exist for non-symbolic numerosity processing.
- To examine these effects in relation to size and density perception.
- To control for confounding variables often overlooked in prior studies.
Main Methods:
- Participants performed same/different judgments on serially presented dot arrays and pentagons.
- Stimuli were controlled to avoid ordered numerosity presentation.
- Only approximate number system processing (beyond subitizing range) was utilized.
Main Results:
- A significant SNARC-like effect was observed exclusively in the numerosity-matching task.
- No SNARC-like effects were found for size or density judgments.
- This indicates a specific spatial association for numerical magnitude.
Conclusions:
- Numerosity, unlike size or density, is spontaneously mapped onto a left-to-right mental line.
- This spatial alignment is based on magnitude information within the approximate number system.
- Findings contribute to understanding the fundamental representation of numbers in the human brain.
Related Concept Videos
01:27Real Number Operations
444
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...
444
01:20Midpoint Rule
119
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...
119
01:24Numerical 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...
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
02:46Uncertainty in Measurement: Reading Instruments
55.5K
Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
55.5K
01:15Orders of Magnitude
27.9K
The order of magnitude of a number is the power of 10 that most closely approximates it. Thus, the order of magnitude estimates the scale (or size) of its value. To find the order of magnitude of a number, take the base-10 logarithm of the number and round it to the nearest integer. Then the order of magnitude of the number is simply the resulting power of 10.
The order of magnitude is simply a way of rounding numbers consistently to the nearest power of 10. This makes doing rough mental math...
The order of magnitude is simply a way of rounding numbers consistently to the nearest power of 10. This makes doing rough mental math...
27.9K
01:26Linearization and Approximation
145
Linearization is a mathematical technique used to approximate complex, nonlinear functions with simpler linear models in the vicinity of a chosen reference point. The method is based on the idea that, although a function may be difficult to evaluate exactly, its behavior near a specific input value can often be closely approximated by the tangent line at that point. This approach is particularly useful when small deviations from a known value are involved.Consider the square root function, for...
145