Related Experiment Video
Updated: Dec 26, 2025

10:26
Problem-Solving Before Instruction PS-I: A Protocol for Assessment and Intervention in Students with Different Abilities
Published on: September 11, 2021
4.3K
Individual differences in general and specific cognitive precursors in early mathematical learning
Estíbaliz Aragón1, Gamal Cerda, Cándida Delgado
1University of Cádiz (Spain).
Psicothema
|April 24, 2019
Summary
Early math skills in four-year-olds depend on cognitive abilities like working memory and processing speed. Interventions targeting these general and specific precursors can enhance mathematical thinking.
Area of Science:
- Cognitive Development
- Educational Psychology
- Developmental Neuroscience
Background:
- Mathematical ability is linked to academic aptitudes and cognitive skills.
- This study investigates precursors of informal mathematical thinking in young children.
Purpose of the Study:
- To analyze the role of general and specific domain precursors in informal mathematical thinking.
- To identify key cognitive predictors in four-year-old children.
Main Methods:
- 109 four-year-old children participated.
- Assessed informal math and cognitive variables.
- Employed a stepwise regression model.
Main Results:
- Working memory, processing speed, and receptive vocabulary (general) and numerical estimation (specific) predicted informal mathematical thinking.
- These factors explained 48.5% of variability in mathematical thinking.
- The model had higher explanatory power for boys (48.9%) than girls (37.5%).
Conclusions:
- Working memory and processing speed are primary predictors of informal mathematical thinking at age four.
- Joint interventions addressing general and specific domain predictors are optimal for improving math achievement.
More Related Videos
Related Concept Videos
Mathematical Induction
160
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...
160
Piaget's Stage 2 of Cognitive Development
691
The preoperational stage, the second of Jean Piaget's four stages of cognitive development, spans approximately ages 2 to 7 and is characterized by the emergence of symbolic thinking. During this stage, children use language, images, and symbols to represent objects and concepts, enabling them to engage in imaginative and pretend play. This symbolic thinking supports children's ability to perform make-believe actions, such as imagining a broom as a horse or their hand as a phone, blending...
691
Piaget's Stage 3 of Cognitive Development
895
During Piaget's concrete operational stage, from ages 7 to 11, children exhibit a marked increase in logical thinking skills, specifically in relation to tangible, real-world events. This stage is characterized by the development of several essential cognitive concepts, including conservation, reversibility, and classification, all of which support the child's evolving capacity for structured thought.
Conservation and Constancy of Quantity
A significant cognitive milestone in the...
Conservation and Constancy of Quantity
A significant cognitive milestone in the...
895
Information Processing Approach
415
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...
415
The Nativist Approach
313
The nativist approach to infant cognitive development proposes that infants are born with inherent knowledge structures that allow them to interpret the world almost immediately. This perspective contrasts with earlier developmental theories, such as those proposed by Jean Piaget, which emphasized a more gradual acquisition of cognitive abilities through interaction with the environment. One key concept in this approach is object permanence — the understanding that objects continue to...
313
Cognitive Learning
922
Cognitive learning is based on purposive behavior, incidental learning, and insight learning.
E. C. Tolman's theory of purposive behavior emphasizes that much behavior is goal-directed. He argued that to understand behavior, we must look at the entire sequence of actions leading to a goal. For instance, high school students study hard, not just due to past reinforcement but also to achieve the goal of getting into a good college.
Tolman introduced the idea that behavior is influenced by...
E. C. Tolman's theory of purposive behavior emphasizes that much behavior is goal-directed. He argued that to understand behavior, we must look at the entire sequence of actions leading to a goal. For instance, high school students study hard, not just due to past reinforcement but also to achieve the goal of getting into a good college.
Tolman introduced the idea that behavior is influenced by...
922

