Influence of the large-small split effect on strategy choice in complex subtraction.

Area of Science:

• Cognitive Psychology
• Mathematical Cognition

Background:

• The arithmetic split effect describes how problem structure influences calculation strategies.
• Previous research supported strategy choice theory in addition but not subtraction.

Purpose of the Study:

• To investigate the applicability of strategy choice theory to complex subtraction arithmetic.
• To examine the influence of split size and borrowing on subtraction performance.

Main Methods:

• Participants solved complex subtraction problems with varying split sizes (small, intermediate, large) and borrowing conditions.
• Reaction times and accuracy were recorded to analyze performance differences.

Main Results:

• Larger splits (intermediate, large) showed faster reaction times and higher accuracy than small splits, without a speed-accuracy trade-off.
• Borrowing conditions significantly affected performance only for small splits.
• Results indicate strategy selection based on split size.

Conclusions:

• Strategy choice theory effectively explains the arithmetic split effect in complex subtraction.
• Individuals adapt their calculation strategies (plausibility-checking or whole-calculation) based on problem characteristics like split size.