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Related Experiment Video

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

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

Published on: August 28, 2021

Interactivity, efficiency, and individual differences in mental arithmetic.

Frédéric Vallée-Tourangeau¹

¹Department of Psychology, Kingston University, Kingston upon Thames, UK. f.vallee-tourangeau@kingston.ac.uk

Experimental Psychology

|April 4, 2013

Summary

Interactive tasks improve mental arithmetic efficiency for complex problems, especially when using manipulable tokens. Static conditions are less effective for longer calculations, highlighting the role of cognitive skills.

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Area of Science:

Cognitive Psychology
Educational Psychology

Background:

Mental arithmetic efficiency is crucial for academic and daily tasks.
Understanding how task interactivity influences cognitive performance is key to optimizing learning and problem-solving.

Purpose of the Study:

To investigate how task interactivity affects thinking efficiency in mental arithmetic.
To determine the impact of set size and manipulable tokens on arithmetic performance.

Main Methods:

Participants performed single-digit additions with 7 or 11 numbers under static (paper) and interactive (tokens) conditions.
Cognitive skills including numeracy, working memory, visuo-spatial processing, and attention switching were measured.
Efficiency was calculated as performance ratio over time invested; verbal protocols were collected for strategy analysis.

Main Results:

A significant interaction between condition and set size was found: interactive tokens improved efficiency for longer sums.
Static conditions were slightly better for short sums, but interactive conditions significantly outperformed static for long sums.
Arithmetic skills, working memory, and attention switching explained more variance in efficiency for hard sums in the interactive condition.

Conclusions:

Task interactivity, particularly with manipulable aids, enhances mental arithmetic efficiency for complex problems.
Cognitive factors like working memory and attention switching are critical, especially when engaging with interactive problem-solving methods.
The use of manipulable tokens can fundamentally alter arithmetic strategies and improve solution pathways.