Facilitating proportional reasoning through worked examples: Two classroom-based experiments

Within mathematics teaching, ways to help students resolve proportional reasoning problems remains a topical issue. This study sought to investigate how a simple innovative procedure could be introduced to enhance skill acquisition. In two classroom-based experiments, 12-year-old students were asked...

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Veröffentlicht in:Cogent education 2017-01, Vol.4 (1), p.1297213
Hauptverfasser: Bentley, Brendan, Yates, Gregory C.R.
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description Within mathematics teaching, ways to help students resolve proportional reasoning problems remains a topical issue. This study sought to investigate how a simple innovative procedure could be introduced to enhance skill acquisition. In two classroom-based experiments, 12-year-old students were asked to solve proportional reasoning mathematics problems, on four occasions, over a two-week period. On the second occasion, students worked either with or without the benefit of worked examples. The examples demonstrated a unitising strategy in the context of solving proportional reasoning missing value problems. Students exposed to the worked examples improved scores on subsequent tests. The worked example instruction was (a) mediated entirely through booklets, (b) effective with both low- and high-SES students and (c) represents a promising approach to teaching within an area that habitually presents many challenges for the general classroom teacher.
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subjects Classrooms
cognitive load theory
Cognitive Processes
Difficulty Level
Educational research
Experiments
Foreign Countries
Hypothesis Testing
Mathematical Logic
Mathematical problems
Mathematics education
Mathematics Instruction
Mathematics Tests
Middle School Students
Pretests Posttests
Problem Solving
proportional reasoning
Scores
Self Efficacy
Statistical Analysis
Statistical Significance
Students
Teaching
Teaching Methods
Thinking Skills
title Facilitating proportional reasoning through worked examples: Two classroom-based experiments
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