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Related Concept Videos

Longitudinal Research02:20

Longitudinal Research

Sometimes we want to see how people change over time, as in studies of human development and lifespan. When we test the same group of individuals repeatedly over an extended period of time, we are conducting longitudinal research. Longitudinal research is a research design in which data-gathering is administered repeatedly over an extended period of time. For example, we may survey a group of individuals about their dietary habits at age 20, retest them a decade later at age 30, and then again...
Longitudinal Studies01:26

Longitudinal Studies

Longitudinal studies are also widely used in other medical and social science fields. For instance, in cardiovascular research, they can monitor patients' health over decades to identify risk factors for heart disease, such as high cholesterol or smoking, and evaluate the long-term effectiveness of preventive measures. Similarly, in mental health studies, researchers might follow individuals from adolescence into adulthood to understand the development and progression of conditions like...
Information Processing Approach01:30

Information Processing Approach

The information-processing theory of cognitive development centers on fundamental mental processes, including attention, memory, and problem-solving skills. Researchers in this field examine how cognitive abilities, such as working memory, evolve and influence children's overall development. Studies indicate that children with stronger working memory tend to excel in reading comprehension, math, and problem-solving compared to peers with less efficient memory skills. Low working memory is also...
Regression Toward the Mean01:52

Regression Toward the Mean

Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when researchers try to extrapolate results...
Theory of Attribution II: Kelley's Covariation Theory01:29

Theory of Attribution II: Kelley's Covariation Theory

Attribution theory plays a crucial role in social psychology, helping to explain how individuals interpret the causes of behavior. One prominent model within this field is Harold Kelley's covariation theory, which provides a systematic approach to determining whether internal traits or external circumstances drive a person's actions. The model posits that individuals rely on three key types of information—consensus, consistency, and distinctiveness—to make these judgments.Consensus: Comparing...
Mathematical Modeling: Problem Solving01:29

Mathematical Modeling: Problem Solving

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,...

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Related Experiment Video

Updated: Jun 6, 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

Pathways to mathematics: longitudinal predictors of performance.

Jo-Anne LeFevre1, Lisa Fast, Sheri-Lynn Skwarchuk

  • 1Institute of Cognitive Science, Carleton University, Ottawa, ON, Canada. jo-anne_lefevre@carleton.ca

Child Development
|November 17, 2010
PubMed
Summary

This study reveals that quantitative, linguistic, and spatial attention skills independently predict early numeracy. These foundational cognitive skills also differentially impact later mathematical outcomes in children.

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Last Updated: Jun 6, 2026

Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)
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Multimedia Battery for Assessment of Cognitive and Basic Skills in Mathematics (BM-PROMA)

Published on: August 28, 2021

Using Cholesky Decomposition to Explore Individual Differences in Longitudinal Relations between Reading Skills
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Published on: September 17, 2019

Area of Science:

  • Developmental Psychology
  • Cognitive Neuroscience
  • Educational Psychology

Background:

  • Understanding the cognitive underpinnings of mathematical ability is crucial for early identification and intervention.
  • Existing research highlights various precursor skills, but a unified model integrating these pathways is lacking.
  • This study addresses the need for a comprehensive model linking cognitive precursors to mathematical development.

Purpose of the Study:

  • To test a model of the relationships among cognitive precursors, early numeracy, and later mathematical outcomes.
  • To investigate the independent contributions of quantitative, linguistic, and spatial attention pathways to numeracy.
  • To examine how these precursor pathways differentially predict mathematical performance over time.

Main Methods:

  • A longitudinal study involving 182 children aged 4.5 to 7.5 years.
  • Development and testing of a model integrating neuroimaging, clinical, and developmental research findings.
  • Assessment of quantitative, linguistic, and spatial attention skills as cognitive precursors.

Main Results:

  • Three precursor pathways—quantitative, linguistic, and spatial attention—independently contributed to early numeracy skills.
  • These pathways showed differential relationships with various mathematical outcomes assessed two years later.
  • The proposed model successfully accounted for a significant portion of the variance in mathematical performance.

Conclusions:

  • Early numeracy is influenced by distinct cognitive precursor pathways.
  • Understanding these fundamental skills is essential for fostering diverse mathematical competencies.
  • The findings support a multi-faceted approach to supporting mathematical development in children.