Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book

In mathematics education, technology offers many opportunities to enrich curricular contents. Plane symmetries is a topic often skipped by primary teachers. However, it is important and may be worked in attractive ways in dynamic geometry software environments. In any regular classroom there are stu...

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Main Authors: Angel Gutiérrez, Adela Jaime, Pablo Gutiérrez
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/8/832
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author Angel Gutiérrez
Adela Jaime
Pablo Gutiérrez
author_facet Angel Gutiérrez
Adela Jaime
Pablo Gutiérrez
author_sort Angel Gutiérrez
collection DOAJ
description In mathematics education, technology offers many opportunities to enrich curricular contents. Plane symmetries is a topic often skipped by primary teachers. However, it is important and may be worked in attractive ways in dynamic geometry software environments. In any regular classroom there are students with different levels of mathematical attainment, some needing easy tasks while others, particularly mathematically-gifted students, need challenging problems. We present a teaching unit for plane symmetries, adequate for upper primary school grades, implemented in a fully interactive electronic book, with most activities solved in GeoGebra apps. The book allows student to choose which itinerary to follow and attention is paid to different levels of students’ mathematical attainment. The research objective of the paper is to make a networked analysis of the structure and contents of the teaching unit based on the Van Hiele levels of mathematical reasoning and the levels of cognitive demand in mathematical problem solving. The analysis shows the interest of networking both theories, the suitability of the teaching unit, as the Van Hiele levels and the cognitive demand of the activities increases, and its usefulness to fit the needs of each student, from low attainers to mathematically-gifted students.
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spelling doaj.art-aaa1cf55e9ad4c60bb20dcb02f11488b2023-11-21T15:05:22ZengMDPI AGMathematics2227-73902021-04-019883210.3390/math9080832Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-BookAngel Gutiérrez0Adela Jaime1Pablo Gutiérrez2Departamento de Didáctica de la Matemática, Universitat de València, 46071 Valencia, SpainDepartamento de Didáctica de la Matemática, Universitat de València, 46071 Valencia, SpainFaculty of Education, Universidad Católica de Valencia, 46001 Valencia, SpainIn mathematics education, technology offers many opportunities to enrich curricular contents. Plane symmetries is a topic often skipped by primary teachers. However, it is important and may be worked in attractive ways in dynamic geometry software environments. In any regular classroom there are students with different levels of mathematical attainment, some needing easy tasks while others, particularly mathematically-gifted students, need challenging problems. We present a teaching unit for plane symmetries, adequate for upper primary school grades, implemented in a fully interactive electronic book, with most activities solved in GeoGebra apps. The book allows student to choose which itinerary to follow and attention is paid to different levels of students’ mathematical attainment. The research objective of the paper is to make a networked analysis of the structure and contents of the teaching unit based on the Van Hiele levels of mathematical reasoning and the levels of cognitive demand in mathematical problem solving. The analysis shows the interest of networking both theories, the suitability of the teaching unit, as the Van Hiele levels and the cognitive demand of the activities increases, and its usefulness to fit the needs of each student, from low attainers to mathematically-gifted students.https://www.mdpi.com/2227-7390/9/8/832cognitive demandeducational e-bookmathematically gifted studentsnetworking theoriesprimary schoolsymmetries
spellingShingle Angel Gutiérrez
Adela Jaime
Pablo Gutiérrez
Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
Mathematics
cognitive demand
educational e-book
mathematically gifted students
networking theories
primary school
symmetries
title Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
title_full Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
title_fullStr Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
title_full_unstemmed Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
title_short Networked Analysis of a Teaching Unit for Primary School Symmetries in the Form of an E-Book
title_sort networked analysis of a teaching unit for primary school symmetries in the form of an e book
topic cognitive demand
educational e-book
mathematically gifted students
networking theories
primary school
symmetries
url https://www.mdpi.com/2227-7390/9/8/832
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