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Related Concept Videos

Orders of Magnitude01:15

Orders of Magnitude

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...
Real Number Operations01:27

Real 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...
Numerical Calculations01:24

Numerical Calculations

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...
Mnemonic Devices01:23

Mnemonic Devices

Mnemonic devices are cognitive tools that facilitate memory retention by linking new information to familiar patterns or organizational strategies. These techniques are beneficial for remembering complex or lengthy sets of information by simplifying and structuring them in easily retrievable ways.
Acronyms
Acronyms are created by using the initial letters of a series of words to form a new word or phrase. This approach condenses complex information into a single, memorable entity. For example,...
Exponents01:30

Exponents

Exponents provide a compact and efficient way of representing repeated multiplication. These tools are fundamental to algebra and broader areas of mathematics, including scientific computation, scaling laws, and dimensional analysis.Exponent Rules and PropertiesExponential notation expresses the repeated multiplication of a number by itself. For any nonzero real number a and integer n, an represent a multiplied by itself n times. Key properties include: These properties allow for the...
Significant Figures in Calculations00:58

Significant Figures in Calculations

Uncertainty in measurements can be avoided by reporting the results of a calculation with the correct number of significant figures. This can be determined by the following rules for rounding numbers:

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Related Experiment Video

Updated: Jun 10, 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

Linear numerical-magnitude representations aid children's memory for numbers.

Clarissa A Thompson1, Robert S Siegler

  • 1The University of Oklahoma, Norman, OK 73019, USA. cat3@ou.edu

Psychological Science
|July 21, 2010
PubMed
Summary

Children with more linear numerical-magnitude representations better remember numbers. This finding held across age groups, socioeconomic backgrounds, number ranges, and tasks, unlike numeral identification or counting skills.

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Area of Science:

  • Cognitive Psychology
  • Developmental Psychology
  • Educational Psychology

Background:

  • Children's understanding of number magnitude is crucial for mathematical development.
  • Previous research has explored various aspects of numerical cognition in children.
  • The precise relationship between magnitude representation and memory recall needs further elucidation.

Purpose of the Study:

  • To investigate the link between children's numerical-magnitude representations and their memory for numbers.
  • To determine if this relationship is consistent across different age groups, socioeconomic statuses, and numerical ranges.
  • To compare the predictive power of magnitude representation versus other numerical skills like numeral identification and counting.

Main Methods:

  • Three experiments were conducted involving preschoolers and second graders.
  • Numerical-magnitude representations were assessed using categorization, number-line tasks, measurement, and numerosity estimation.
  • Memory for numbers was evaluated through recall tasks across different numerical ranges (0-20 and 0-1,000).

Main Results:

  • A significant positive correlation was found between the linearity of children's numerical-magnitude representations and their memory accuracy for numbers.
  • This relationship was robust across diverse participant groups and assessment methods.
  • Numeral identification and counting skills did not show a similar association with number memory recall.

Conclusions:

  • The linearity of numerical-magnitude representations is a key factor in children's ability to remember numerical information.
  • Children's numerical representations are dynamic and may be influenced by task demands and strategic choices.
  • Educational interventions focusing on developing linear magnitude representations could potentially enhance children's numerical memory.