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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Format: | Article |
Language: | English |
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MDPI AG
2021-04-01
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Series: | Mathematics |
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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. |
first_indexed | 2024-03-10T12:25:21Z |
format | Article |
id | doaj.art-aaa1cf55e9ad4c60bb20dcb02f11488b |
institution | Directory Open Access Journal |
issn | 2227-7390 |
language | English |
last_indexed | 2024-03-10T12:25:21Z |
publishDate | 2021-04-01 |
publisher | MDPI AG |
record_format | Article |
series | Mathematics |
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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