Cognitive and Neural Differences in Exact and Approximate Arithmetic Using the Production Paradigm: An fNIRS Study.

Area of Science:

• Cognitive Neuroscience
• Neuroimaging
• Mathematical Cognition

Background:

• Understanding the neural underpinnings of arithmetic is crucial for cognitive science.
• Distinguishing between exact and approximate calculation mechanisms remains an active research area.
• Functional near-infrared spectroscopy (fNIRS) offers a non-invasive method to study brain activity during cognitive tasks.

Purpose of the Study:

• To investigate the cognitive and neural differences between exact and approximate arithmetic.
• To explore brain activation patterns during natural calculation using fNIRS.
• To examine the influence of problem size on both arithmetic types.

Main Methods:

• Utilized fNIRS technology during a calculation production paradigm.
• Collected behavioral data on reaction times for exact and approximate arithmetic.
• Analyzed fNIRS data to identify brain regions associated with each arithmetic process.
• Performed correlation analysis between arithmetic processing and semantic functions.

Main Results:

• Exact arithmetic had significantly longer reaction times than approximate arithmetic.
• Both arithmetic types showed a problem size effect, with larger operands increasing reaction time.
• Exact arithmetic showed greater activation in the left superior frontal gyrus (L-SFG).
• Approximate arithmetic showed problem size effects in the right hemisphere, including R-DLPFC, R-SFG, and PMC/SMA.
• A significant correlation was found between approximate arithmetic and semantic processing in right PMC/SMA.

Conclusions:

• Findings suggest a neural dissociation between exact and approximate arithmetic processing.
• Exact arithmetic relies more on left-hemisphere regions.
• Approximate arithmetic processing is more sensitive to right-hemisphere regions.
• The study highlights distinct neural mechanisms for different types of mathematical cognition.