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Understanding the Path to Multiplicative Reasoning: A Conceptual Replication Study

Mon, October 27, 2:30 to 3:15pm, Penn Stater Conference Center, Floor: Main Level, 108

Description

This study reports on a conceptual replication study addressing the path that students take to construct multiplicative reasoning in the middle grades. This longitudinal quantitative study measured the stages of numerical reasoning of 99 students in grades 6, 7, or 8 at three time points across one year. Logistic regression was used to estimate a model of the likelihood that students would construct multiplicative reasoning given their operations with composite units at times 1 and 2. Results indicate that students who do not operate on composite units are less likely to construct multiplicative reasoning during the year, whereas students who operate on composite units have a significantly greater chance of constructing multiplicative reasoning. This confirms and clarifies the role of composite units in instigating the construction of multiplicative reasoning, as originally found by Zwanch and Wilkins (2021).

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