Children's arithmetic skills do not transfer between applied and academic mathematics.

Area of Science:

• Cognitive Psychology
• Developmental Psychology
• Educational Psychology

Background:

• Many children from low-income backgrounds worldwide struggle with school mathematics.
• Some children extensively use mental arithmetic in informal, real-world settings outside of school.

Purpose of the Study:

• To investigate the transferability of mathematics skills acquired in real-world settings to the classroom and vice versa.
• To compare the mathematical abilities of working children with those of non-working school children.

Main Methods:

• Surveyed 1,436 children working in markets in Kolkata and Delhi, India.
• Assessed children's proficiency in complex arithmetic calculations, hypothetical market math problems, verbal math problems, and abstract school-based math problems.
• Compared performance with 471 non-working school children.

Main Results:

• Working children demonstrated high proficiency in complex real-world arithmetic but struggled with abstract, school-based math problems of similar or lesser complexity.
• Non-working school children performed better on simple abstract problems but were largely unable to solve applied market math problems.
• School children exhibited inefficient calculation methods and slow response times, hindering practical application and advanced mathematical learning.

Conclusions:

• Mathematics skills acquired in real-world contexts do not automatically transfer to formal schooling.
• Educational curricula need to bridge the gap between intuitive, context-based mathematical understanding and formal, abstract mathematical concepts.
• Developing curricula that integrate practical application can improve overall mathematical proficiency and learning outcomes.