Related Experiment Video
Updated: Mar 1, 2026
10:58
Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics BM-PROMA
Published on: August 28, 2021
5.0K
Dissociations within arithmetic rules: Different neural bases and solution processes in zero and one multiplications.
Silvia Benavides-Varela1, Antonino Vallesi2, Luca Weis3
1Department of Developmental Psychology and Socialisation, University of Padova, Padova, Italy; Padova Neuroscience Center, University of Padova, Padova, Italy.
Summary
Zero and One single-digit multiplications involve distinct cognitive processes, not a single rule. Behavioral and neural data reveal unique solution strategies for these basic arithmetic facts.
Area of Science:
- Cognitive Neuroscience
- Mathematical Cognition
- Human Brain Imaging
Background:
- Single-digit multiplications by Zero and One are often excluded from arithmetic studies, assumed to be solved by simple rule retrieval.
- There is limited empirical evidence to support the hypothesis that Zero and One multiplications constitute a homogeneous group solved by a unified strategy.
Purpose of the Study:
- To compare behavioral and neural responses during the solution of Zero, One, and other single-digit multiplications (Facts) in young adults.
- To investigate whether Zero and One multiplications engage distinct cognitive and neural mechanisms.
Main Methods:
- An event-related functional magnetic resonance imaging (fMRI) study was conducted with 21 healthy participants performing an arithmetic verification task.
- Univariate analyses and Representational Similarity Analysis (RSA) of fMRI-BOLD signals were employed to compare activation patterns.
- Behavioral data (reaction times, error rates) were collected alongside neural data.
Main Results:
- Participants exhibited slower reaction times and higher error rates for Zero compared to One multiplications.
- fMRI data revealed greater activation in the right precuneus for Zero versus One multiplications, potentially indicating increased abstraction and attentional shifts.
- RSA demonstrated distinct activation patterns for standard multiplication facts in known arithmetic areas (inferior/middle frontal gyrus, superior parietal lobule) and identified the right precuneus's capacity to differentiate between Zero and One multiplication processing.
Conclusions:
- Behavioral and neural evidence supports the view that Zero and One multiplications are solved using distinct processes.
- These findings challenge the notion of a single, unified rule-based strategy for these basic arithmetic operations.
- The right precuneus appears to play a role in distinguishing between the cognitive mechanisms underlying Zero and One multiplication.
Keywords:
Arithmetic fact retrievalFunctional magnetic resonanceMultiplicationsOnePrecuneusRepresentational similarity analysisRule-based problemsZeroMore Related Videos
Related Concept Videos
01:29Complex Zeros
331
Complex zeros are the solutions to polynomial equations that include imaginary numbers, specifically, numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit defined by i2=-1. These zeros satisfy the equation P(x) = 0, where P(x) is a polynomial with real or complex coefficients. Since the complex number system includes all real numbers, it provides a complete framework for analyzing all possible roots of a polynomial.Every polynomial of degree n≥1 can be...
331
01:30Fundamental Theorem of Algebra
348
The Fundamental Theorem of Algebra is central to the study of polynomial equations, asserting that every non-constant polynomial with complex coefficients has at least one complex zero. This means that a polynomial of degree n ≥ 1, written as: with an ≠ 0, has at least one solution in the complex number system. Since the set of real numbers is a subset of complex numbers, this theorem applies equally to polynomials with real coefficients.Building on this result, the...
348
01:20Relation between Mathematical Equations and Block Diagrams
3.6K
In a spring-mass-damper system, the second-order differential equation describes the dynamic behavior of the system. When transformed into the Laplace domain under zero initial conditions, this equation can be effectively analyzed and manipulated. The transformation into the Laplace domain converts differential equations into algebraic equations, simplifying the process of isolating the output.
3.6K
01:28Rational Expressions
440
Rational expressions are algebraic fractions in which both the numerator and the denominator are polynomials. These expressions follow the arithmetic rules of numerical fractions but require extra care due to the presence of variables. A fundamental part of working with rational expressions is identifying values that make the expression undefined, typically those that result in division by zero or undefined radicals.Determining the DomainThe domain of a rational expression includes all real...
440
01:29Complex Numbers
367
The real number system cannot represent the square root of a negative number, which restricts solutions for certain equations, such as quadratics with negative discriminants. To address this, the complex number system was developed, introducing the imaginary unit i, where i = √(-1). This extension allows for the representation of all roots, including those involving negative radicands.A complex number is written in the form x + yi, where x and y are real numbers. Here, x represents the...
367
01:26Algebraic Expressions
425
Algebraic expressions are essential in mathematics. They represent relationships through variables, constants, and operations. These expressions help describe patterns and solve problems in various mathematical fields. Understanding their components, classifications, and operations allows for efficient simplification and manipulation.Each algebraic expression consists of individual parts, including numbers and symbols, that work together to form meaningful mathematical statements. The numerical...
425