The Importance Of Proportional Reasoning

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Proportional reasoning is a kind of mathematical reasoning that encompasses a logical comprehension of various evaluations and co-variations. Proportional reasoning allows an individual the ability to reason mathematically and is a demonstration of how a number of pieces of information are stockpiled mentally. We deal with diverse proportional information on a daily basis, such as reading temperatures, relational spatial contrast, and calculations of densities all of which is central to mathematical abilities. When a child is successful at developing proportional reasoning, it is a useful skill that transcends their mental capacities. As children acquire the capacity to reason proportionally, they have gained the capability to understand multiplicative …show more content…
Utilizing similar balance beam tasks of Siegler (1978), researchers were driven to identify if children employ the four rules discovered by Siegler (1978) in order, in addition to other variations and progressions of the established rules discretely by age. Jansen and Van der Maas (2002) predicted that when children are tasked with proportional reasoning, they employ Rule I consistently and then transitioning to Rule II, III, and IV is alternating. Researchers discovered that children apply Rules I, II and IV when tasked with proportional reasoning, and also an addition rule label Rule IIIA. The addition Rule IIIA is coined as alternative strategies employed to discover a solution, virtually a new interpretation of Rule III. The finding of Rule IIIA demonstrated that when children are tasked with weight and distance proportional reasoning, they combined several strategies to reach a decision as opposed to following the rules suggested by Seigler (1978) chronologically. Jansen and Van der Mass (2002) concluded that children indeed use a combination of rules and distance as well as weight dimensions are responsible for the addition rule; however, it is unclear why it varies depending on …show more content…
We will conduct a study that examines the benefits of receiving feedback with the math balance beam task. We will administer variations of math balance beam task to measure children’s proportional reasoning abilities. We will utilize a 2x2 factorial between groups analysis of variance to compare test scores of pre-test vs. no pre-test and balance play vs. no balance play to measure the benefits of receiving feedback and administered pre-test of paper and pencil form of the written version of the balance beam

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