Search Results - "Cañadas, María C."
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Functional Relationships Evidenced and Representations Used by Third Graders Within a Functional Approach to Early Algebra
Published in International journal of science and mathematics education (01-08-2022)“…This study describes how 24 third graders (8–9 years old) relate and represent the relationships between variables when working with a functional thinking…”
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Generalizations of third and fifth graders within a functional approach to early algebra
Published in Mathematics education research journal (01-03-2021)“…We describe 24 third (8–9 years old) and 24 fifth (10–11 years old) graders’ generalization working with the same problem involving a function. Generalizing…”
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First encounter with constructing graphs in the functional thinking approach to school algebra in 3rd and 4th grades
Published in ZDM (01-11-2024)“…Given the relevance of graphs of functions, we consider their inclusion in primary education from the functional approach to early algebra. The purpose of this…”
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Structures and representations used by 6th graders when working with quadratic functions
Published in ZDM (01-11-2022)“…This study lies within the field of early-age algebraic thinking and focuses on describing the functional thinking exhibited by six sixth-graders (11- to…”
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The Evolution from “I think it plus three” Towards “I think it is always plus three.” Transition from Arithmetic Generalization to Algebraic Generalization
Published in International journal of science and mathematics education (01-06-2024)“… This paper is part of broader research being conducted in the area of algebraic thinking in primary education. Our general research objective was to…”
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Generalization strategies and representations used by final-year elementary school students
Published in International journal of mathematical education in science and technology (02-01-2024)“…Recent research has highlighted the role of functional relationships in introducing elementary school students to algebraic thinking. This functional approach…”
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Difficulties in semantically congruent translation of verbally and symbolically represented algebraic statements
Published in Educational studies in mathematics (01-03-2022)“…This paper describes the difficulties faced by a group of middle school students (13- to 15-year-olds) attempting to translate algebraic statements written in…”
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Meanings given to algebraic symbolism in problem-posing
Published in Educational studies in mathematics (01-05-2018)“…Some errors in the learning of algebra suggest that students might have difficulties giving meaning to algebraic symbolism. In this paper, we use problem…”
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Generalization Process by Second Grade Students
Published in Mathematics (Basel) (01-05-2021)“…This study is part of a broader study on algebraic reasoning in elementary education. The research objective of the present survey, namely to describe…”
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Interacting with Indeterminate Quantities through Arithmetic Word Problems: Tasks to Promote Algebraic Thinking at Elementary School
Published in Mathematics (Basel) (01-07-2022)“…In this study, we analyze how 9–10-year-old pupils work with equations, a central aspect of algebraic thinking in early grades and a cornerstone for more…”
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Introducing Tables to Second-Grade Elementary Students in an Algebraic Thinking Context
Published in Mathematics (Basel) (01-01-2022)“…In this study, we adopted a functional perspective on algebra. Our focus was on tables and how they were first used by second-grade elementary school students…”
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Generalization in fifth graders within a functional approach
Published in PNA (01-04-2018)“…This article discusses evidence of 24 fifth graders’ (10-11 year olds’) ability to generalize when solving a problem which involves a linear function. Analyzed…”
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STRUCTURE OF PRIMARY MATHEMATICS TEACHER EDUCATION PROGRAMS IN SPAIN
Published in International journal of science and mathematics education (01-08-2013)“…ABSTRACT Spain was 1 of the 17 countries that participated in the International Association for the Evaluation of Educational Achievement’s Teacher Education…”
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Generalization among 5-Year-Olds in a Functional Context with Programmable Robot
Published in International journal of science and mathematics education (04-09-2024)Get full text
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f(n)=3n: Representaciones, estrategias y estructuras por alumnado de primero de primaria
Published in PNA (01-01-2024)“…Este trabajo se enmarca en una investigación sobre pensamiento funcional en primeras edades realizada en España (www.pensamientoalgebraico.es). Presentamos…”
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Structure recognition and generalization by second-graders in direct and inverse forms of a linear function
Published in Mathematical thinking and learning (09-03-2024)Get full text
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Second graders articulating ideas about linear functional relationships
Published in The Journal of mathematical behavior (01-03-2016)“…•Ideas about functional relationships expressed by second graders working with a linear function.•Evidence of functional thinking among second graders.•The…”
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The Conjecturing Process: Perspectives in Theory and Implications in Practice
Published in Journal of teaching and learning (Windsor) (21-11-2007)“…In this paper we analyze different types and stages of the conjecturing process. A classification of conjectures is discussed. A variety of problems that could…”
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Functional relationships and strategies of first graders in a functional context
Published in Enseñanza de las ciencias (01-01-2018)“…From a functional approach to school algebra, in this work we go in depth in first graders’ (6 years old) functional thinking within the Spanish context…”
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