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Title: The initial algebraic knowledge of preservice teachers
Authors: Zapatera Llinares, Alberto
Quevedo Gutiérrez, Eduardo Gregorio 
UNESCO Clasification: 1201 Algebra
5801 Teoría y métodos educativos
580107 Métodos pedagógicos
Keywords: Early algebra
Didactic knowledge
Algebraic thinking
Functional thinking
Training programmes
Issue Date: 2021
Journal: Mathematics 
Abstract: Early algebra proposes to incorporate algebra in primary school from the first years of schooling. The success of this incorporation depends, to a large extent, on the training of teachers, so the objective of this article is to study whether the degree of algebraic knowledge of student teachers at the beginning of their training. To conduct this, 106 preservice teachers were given a questionnaire. This survey is based on two daily life situations. They had to propose tasks to develop algebraic reasoning in primary school students. Most of the participants designed tasks in which they assigned specific values to the indeterminate ones and solved them arithmetically. In this way, they transformed open situations and numerous opportunities to promote algebraic thinking in students through the generalization and representation of relationships and functions into closed single-solution problems that do not promote algebraic thinking. We can see from the results that the participants’ algebraic knowledge is insufficient. Therefore, it is necessary to include in their training process the programs and experiences that will allow them to design tasks in order to detect and promote algebraic thinking in their future students. Sequences of tasks are presented to develop both situations by generalizing and representing relationships and functions, which can serve as a starting point for future training programs and experiences.
ISSN: 2227-7390
DOI: 10.3390/math9172117
Source: Mathematics [EISSN 2227-7390], v. 9 (17), 2117, (Septiembre 2021)
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