Abstract
Contextual problems involving rational numbers and proportional reasoning were presented to seventh grade students with different curricular experiences. There is strong evidence that students in reform curricula, who are encouraged to construct their own conceptual and procedural knowledge of proportionality through collaborative problem solving activities, perform better than students with more traditional, teacher-directed instructional experiences. Seventh grade students, especially those who study the new curricula, are capable of developing their own repertoire of sense-making tools to help them to produce creative solutions and explanations. This is demonstrated through analysis of solution strategies applied by students to a variety of rate problems.
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Ben-Chaim, D., Fey, J.T., Fitzgerald, W.M. et al. Proportional Reasoning among 7th Grade Students with Different Curricular Experiences. Educational Studies in Mathematics 36, 247–273 (1998). https://doi.org/10.1023/A:1003235712092
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DOI: https://doi.org/10.1023/A:1003235712092