Young Children Intuitively Divide Before They Recognize the Division Symbol.

Area of Science:

• Cognitive Development
• Mathematical Cognition
• Developmental Psychology

Background:

• Children possess intuitive arithmetic skills before formal mathematics instruction, including addition, subtraction, and scaling.
• The extent of pre-instructional intuitive division abilities in children remains largely unexplored.

Purpose of the Study:

• To investigate whether children aged 6-9 years can perform approximate division before formal mathematical instruction.
• To examine the performance of children and college students on both symbolic and non-symbolic approximate division tasks.

Main Methods:

• Participants (children and adults) were presented with symbolic (Arabic numerals) and non-symbolic (dot arrays) dividends and non-symbolic divisors.
• Performance was assessed by comparing the estimated quotient to a target quantity.

Main Results:

• Both children and adults successfully performed approximate division with both symbolic and non-symbolic stimuli.
• Children unable to recognize division symbols or solve basic equations still demonstrated approximate division abilities.
• Non-symbolic division ability mediated the relationship between Approximate Number System (ANS) acuity and symbolic math performance in both age groups.

Conclusions:

• Intuitive approximate division abilities are present in children prior to formal mathematics education.
• Non-symbolic calculation may serve as a mechanism linking the Approximate Number System (ANS) to symbolic mathematical proficiency.