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Functional relationships evidenced and representations used by third graders within a functional approach to early algebra
- Publication Year :
- 2021
-
Abstract
- 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.
- Subjects :
- 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
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....a11ebc35d8fe53c5e2b6c3649b404eab