Functional relationships evidenced and representations used by third graders within a functional approach to early algebra
| Autor: | María C. Cañadas, Antonio Moreno, Eder Pinto |
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| Rok vydání: | 2021 |
| Předmět: |
Generalization
General Mathematics media_common.quotation_subject Funciones 05 social sciences 050301 education Functional approach Funcional Resolución y estrategias Science education Education Álgebra Mathematics education ComputingMilieux_COMPUTERSANDEDUCATION 0501 psychology and cognitive sciences Representation (mathematics) Psychology Set (psychology) Function (engineering) 0503 education Early Algebra Natural language 050104 developmental & child psychology media_common |
| Popis: | This study describes how 24 third graders (8–9 years old) relate and represent the relationships between variables when working with a functional thinking problem. This aspect contributes to providing insights about how elementary school students attend properties and relationships between covarying quantities rather than isolated computations. From a functional approach to early algebra, we describe written students’ answers when working with a problem that involves a function, which includes questions for specific values and to generalize. Design research guidelines, specifically those set out for Classroom Teaching Experiment were followed. This study addresses the fourth and last Classroom Teaching Experiment session, which involved a function of the type y = ax + b and students had not previously worked it. Students primarily evidenced correspondence relationship, using natural language and numerical representation to express this functional relationship. Our findings let us to state that (a) although students were not used to working with these types of problems, eleven of them go beyond arithmetic computations, finding relationships that relate the variables; and (b) three students generalized using natural language as a useful vehicle, while there are other students who perceived the same regularity for different specific values but they are unable to represent generalization clearly. |
| Databáze: | OpenAIRE |
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