How do students reason about statistical sampling with computer simulations? An integrative review from a grounded...

Area of Science:

• Educational Psychology
• Statistics Education

Background:

• Interactive computer simulations are common pedagogical tools for statistical reasoning.
• Theoretical frameworks like dual processes and grounded cognition inform simulation design and learning.
• Understanding statistical sampling is crucial for developing statistical literacy.

Purpose of the Study:

• To examine the effectiveness of interactive computer simulations in statistics education.
• To investigate how simulations impact students' statistical reasoning and conceptual understanding.
• To propose instructional strategies for optimizing simulation-based statistics learning.

Main Methods:

• Review of educational literature on statistical sampling simulations.
• Contrast of dual processes and grounded cognition theoretical frameworks.
• Analysis of student difficulties in statistical reasoning with and without simulations.

Main Results:

• Simulations show tentative benefits for developing statistical habits of mind.
• Persistent student difficulties include aggregate data views, sampling distributions, law of large numbers, inference, and context-independent reasoning.
• Grounded cognition offers a framework to understand these learning challenges.

Conclusions:

• Simulations can support statistical reasoning, but deeper conceptual understanding remains a challenge.
• Grounded cognition principles can guide the design of more effective simulations.
• Testable instructional strategies are proposed to enhance meaning-making from simulations in statistics education.