Related Experiment Video
Updated: Jun 8, 2026
10:58
Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)
Published on: August 28, 2021
Complex mental arithmetic: the contribution of the number sense
1Laboratoire Cognition, Langage & Développement (LCLD), Université Libre de Bruxelles, Av. Roosevelt, 50/CP 191, B - 1050 Brussels, Belgium. julienys@ulb.ac.be
Summary
Young adults strategically choose calculation methods for addition problems, prioritizing the largest number first. Mathematical skill influences this strategy selection, showing magnitude impacts arithmetic processing.
Area of Science:
- Cognitive Psychology
- Educational Psychology
- Neuroscience
Background:
- Understanding how individuals select arithmetic strategies is crucial for cognitive development.
- Previous research has explored strategy use but less is known about the influence of operand magnitude on strategy selection in young adults.
Purpose of the Study:
- To investigate whether the position of the largest addend influences the choice of computation strategies in two-digit addition.
- To determine if mathematical skill moderates the use of magnitude-based strategies.
Main Methods:
- Young adults solved two-digit addition problems, verbalizing each calculation step.
- The position of the largest addend was systematically manipulated (e.g., 25 + 48 vs. 48 + 25).
- Participants were assessed for mathematical skill level to compare strategy use between groups.
Main Results:
- Participants showed a preference for using strategies that started with the largest addend.
- This indicates that operands are evaluated before calculation, suggesting flexible strategy application.
- Mathematically skilled participants more frequently employed these magnitude-informed strategies compared to less skilled peers.
Conclusions:
- Magnitude information significantly guides arithmetic strategy selection in young adults.
- The influence of magnitude on strategy choice appears more pronounced in mathematically skilled individuals.
- Findings highlight the adaptive nature of arithmetic processing and the role of numerical characteristics in guiding cognitive operations.
Related Concept Videos
01:27Real Number Operations
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...
01:22Sums of Power
In definite integration, Riemann sums approximate the area under a curve by dividing it into subintervals and summing the areas of rectangles. When these approximations follow predictable numerical patterns, such as arithmetic or polynomial sequences, sum formulas offer a more efficient and accurate way to compute the result. In particular, the sum of consecutive integers, squares, and cubes plays an essential role in simplifying these calculations, especially when dealing with uniform...
01:29Complex Numbers
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 real...
01:30Arithmetic Sequences
An arithmetic sequence is a structured arrangement of numbers where each term is derived by adding a constant value, known as the common difference, to the previous term. This consistent pattern allows for the efficient computation of any term within the sequence as well as the cumulative sum of multiple terms. The formula for finding the nth term of an arithmetic sequence is:Here, aₙ represents the nth term of the sequence, a is the first term, d is the common difference, and n is the term...
01:29Mathematical Induction
Mathematical induction is a structured method of proof used to confirm the truth of statements involving natural numbers. Consider the sum of the first n natural numbers:This formula describes a pattern that appears to hold true as more terms are added. To verify that it is valid for all natural numbers, mathematical induction proceeds in two essential steps. The first is the base case, where the formula is tested for the initial value, typically n = 1. Substituting into both sides confirms the...
01:08Arithmetic Mean
The arithmetic mean is the most commonly used measure of the central tendency of a data set. It is defined as the sum of all the elements constituting the data set, divided by the total number of elements. It is sometimes loosely referred to as the “average.”
When all the values in a data set are not unique, the sum in the numerator can be calculated by multiplying each distinct value by its frequency.
Sometimes, the arithmetic mean of a sample can be affected by a few data points that are...
When all the values in a data set are not unique, the sum in the numerator can be calculated by multiplying each distinct value by its frequency.
Sometimes, the arithmetic mean of a sample can be affected by a few data points that are...