Does Calculation or Word-Problem Instruction Provide A Stronger Route to Pre-Algebraic Knowledge?

Area of Science:

• Cognitive Psychology
• Educational Psychology
• Mathematics Education

Background:

• Existing research on mathematical cognition primarily uses correlational methods.
• The relationship between calculation fluency, word problem-solving, and pre-algebraic knowledge requires further investigation through intervention studies.

Purpose of the Study:

• To examine the causal impact of calculation and word problem interventions on each other and on pre-algebraic knowledge in 2nd graders.
• To determine if intervention in arithmetic calculations or word problems can foster pre-algebraic understanding.

Main Methods:

• A 17-week intervention study involving 1102 2nd-grade students across 25 schools.
• Random assignment of teachers to three conditions: calculation intervention, word-problem intervention, or a control group.
• Multilevel modeling was employed to analyze the intervention effects on mathematical outcomes.

Main Results:

• Calculation intervention improved calculation skills but did not significantly impact word problem performance.
• Word problem intervention enhanced word problem-solving abilities but did not improve calculation skills.
• Intervention focused on word problems demonstrated a more substantial positive effect on pre-algebraic knowledge compared to calculation intervention.

Conclusions:

• Targeted interventions are effective in improving specific mathematical skills.
• Word problem intervention appears to be a more effective strategy for developing foundational pre-algebraic knowledge than calculation intervention.
• Findings suggest distinct pathways for developing calculation fluency and conceptual understanding necessary for pre-algebra.