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

Relation between Mathematical Equations and Block Diagrams01:20

Relation between Mathematical Equations and Block Diagrams

3.4K
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.
3.4K
Relation of DFT to z-Transform01:20

Relation of DFT to z-Transform

847
The Discrete Fourier Transform (DFT) is a crucial tool for analyzing the frequency content of discrete-time signals. It converts a sequence of N samples from the time domain into its corresponding sequence in the frequency domain, where each sample represents a specific frequency component.
To understand how the DFT works, it's helpful to consider the z-transform, which is a method for representing discrete sequences in the complex frequency domain. The z-transform involves summing the...
847
Mathematical Induction01:29

Mathematical Induction

290
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...
290
Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units01:19

Fundamental Mathematical Principles in Pharmacokinetics: Mathematical Expressions and Units

1.6K
Mathematical principles play a crucial role in pharmacokinetics, providing a framework for understanding and quantifying drug distribution and elimination dynamics in the body. By utilizing mathematical expressions and units, pharmacologists can accurately characterize the behavior of drugs, optimize dosing regimens, and predict therapeutic outcomes.
One significant application of mathematics in pharmacokinetics is the characterization of drug distribution through the volume of distribution...
1.6K
Bacterial Transformation01:33

Bacterial Transformation

60.2K
In 1928, bacteriologist Frederick Griffith worked on a vaccine for pneumonia, which is caused by Streptococcus pneumoniae bacteria. Griffith studied two pneumonia strains in mice: one pathogenic and one non-pathogenic. Only the pathogenic strain killed host mice.
Griffith made an unexpected discovery when he killed the pathogenic strain and mixed its remains with the live, non-pathogenic strain. Not only did the mixture kill host mice, but it also contained living pathogenic bacteria that...
60.2K
Mathematical Modeling: Problem Solving01:29

Mathematical Modeling: Problem Solving

391
Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...
391

You might also read

Related Articles

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

Sort by
Same author

Measuring Spatial Abilities in Children: A Comparison of Mental-Rotation and Perspective-Taking Tasks.

Journal of Intelligence·2023
Same author

Development of stereo vision in young infants.

Infancy : the official journal of the International Society on Infant Studies·2020
Same author

Understanding of object rotation between two and three years of age.

Developmental psychology·2019
Same author

The relation between spatial perspective taking and inhibitory control in 6-year-old children.

Psychological research·2016

Related Experiment Video

Updated: Feb 12, 2026

Assessing Differences in Sperm Competitive Ability in Drosophila
09:34

Assessing Differences in Sperm Competitive Ability in Drosophila

Published on: August 22, 2013

15.1K

Spatial transformation abilities and their relation to later mathematics performance.

Andrea Frick1,2

  • 1University of Bern, Bern, Switzerland. depsy@gmx.net.

Psychological Research
|April 12, 2018
PubMed
Summary

Early spatial transformation skills significantly impact later math performance. Egocentric skills aid arithmetic, while allocentric skills support numeric-logical, spatial functions, and geometry in young learners.

More Related Videos

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

9.2K
Assessing Spatial Learning and Memory in Small Squamate Reptiles
08:44

Assessing Spatial Learning and Memory in Small Squamate Reptiles

Published on: January 3, 2017

8.0K

Related Experiment Videos

Last Updated: Feb 12, 2026

Assessing Differences in Sperm Competitive Ability in Drosophila
09:34

Assessing Differences in Sperm Competitive Ability in Drosophila

Published on: August 22, 2013

15.1K
Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
20:36

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling

Published on: July 4, 2007

9.2K
Assessing Spatial Learning and Memory in Small Squamate Reptiles
08:44

Assessing Spatial Learning and Memory in Small Squamate Reptiles

Published on: January 3, 2017

8.0K

Area of Science:

  • Cognitive Development
  • Educational Psychology
  • Spatial Cognition

Background:

  • Spatial transformation skills are crucial for cognitive development.
  • Understanding the relationship between early spatial abilities and later academic success is vital for educational interventions.
  • Previous research has explored spatial skills, but longitudinal data on specific transformation types and their distinct mathematical links is limited.

Purpose of the Study:

  • To investigate the longitudinal relationship between different spatial transformation skills in kindergarteners and their subsequent mathematics performance.
  • To identify distinct components of spatial transformation abilities (egocentric vs. allocentric).
  • To determine how these distinct spatial skill components differentially predict various mathematical domains.

Main Methods:

  • Longitudinal study design with data collection at three time points: kindergarten, first grade, and second grade.
  • Exploratory factor analyses to identify subcomponents of spatial transformation skills.
  • Structural equation modeling to analyze the predictive relationships between spatial skills and mathematics performance.

Main Results:

  • Two distinct components of spatial transformation skills were identified: egocentric (mental rotation, spatial scaling) and allocentric (cross-sectioning, perspective taking).
  • Egocentric transformation skills were most strongly associated with arithmetic operations.
  • Allocentric transformation skills demonstrated strong relationships with Numeric-Logical and Spatial Functions, as well as geometry.

Conclusions:

  • Early development of spatial transformation skills, especially those demanding spatial flexibility and magnitude understanding, is closely linked to mathematics performance in early schooling.
  • Findings highlight the importance of fostering both egocentric and allocentric spatial skills for comprehensive mathematical development.
  • The study underscores the foundational role of spatial cognition in mathematical learning trajectories.