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Tracking practice effects in computation estimation.

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College students improved their estimation of multi-digit multiplication with practice, showing faster and more accurate results. They also adapted their strategies and visual attention, relying more on number sense.

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Area of Science:

  • Cognitive Psychology
  • Educational Psychology
  • Numerical Cognition

Background:

  • Estimating multi-digit multiplication is a complex cognitive task.
  • Understanding how practice influences estimation strategies and performance is crucial for educational interventions.

Purpose of the Study:

  • To investigate college students' ability to estimate multi-digit multiplication results.
  • To determine how practice affects estimation accuracy, speed, eye movements, and strategy selection.

Main Methods:

  • Participants estimated two-digit multiplication problems against reference numbers (close/far).
  • Performance was measured using speed, accuracy, eye-tracking, and strategy analysis.
  • The study examined the impact of practice on these measures.

Main Results:

  • Practice led to significant improvements in speed and accuracy.
  • Eye movement analysis revealed increased reliance on the reference number with practice.
  • Strategy analysis showed a shift from approximate calculation to a non-calculation-based sense of magnitude strategy.

Conclusions:

  • College students' multiplication estimation skills improve with practice through enhanced speed, accuracy, and adaptive strategy use.
  • Practice promotes a greater reliance on intuitive number sense (ANS) and reference number comparison.
  • These findings highlight the development of adaptive cognitive strategies in numerical estimation.