Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects
This paper synthesises research from three separate studies, analysing how different representations of a mathematical concept may affect young children’s engagement with mathematical activities. Children between five and seven years old engaged in counting objects, identifying triangles and complet...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Ljubljana
2018-06-01
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| Series: | Center for Educational Policy Studies Journal |
| Subjects: | |
| Online Access: | https://ojs.cepsj.si/index.php/cepsj/article/view/271/277 |
| _version_ | 1811286155946098688 |
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| author | Dina Tirosh Pessia Tsamir Ruthi Barkai Esther Levenson |
| author_facet | Dina Tirosh Pessia Tsamir Ruthi Barkai Esther Levenson |
| author_sort | Dina Tirosh |
| collection | DOAJ |
| description | This paper synthesises research from three separate studies, analysing how different representations of a mathematical concept may affect young children’s engagement with mathematical activities. Children between five and seven years old engaged in counting objects, identifying triangles and completing repeating patterns. The implementation of three counting principles were investigated: the one-to-one principle, the stable-order principle and the cardinal principal. Children’s reasoning when identifying triangles was analysed in terms of visual, critical and non-critical attribute reasoning. With regard to repeating patterns, we analyse children’s references to the minimal unit of repeat of the pattern.
Results are discussed in terms of three functions of multiple external representations: to complement, to constrain and to construct. |
| first_indexed | 2024-04-13T02:55:26Z |
| format | Article |
| id | doaj.art-e6592fd2379b4039bf999dfd5b82e491 |
| institution | Directory Open Access Journal |
| issn | 1855-9719 2232-2647 |
| language | English |
| last_indexed | 2024-04-13T02:55:26Z |
| publishDate | 2018-06-01 |
| publisher | University of Ljubljana |
| record_format | Article |
| series | Center for Educational Policy Studies Journal |
| spelling | doaj.art-e6592fd2379b4039bf999dfd5b82e4912022-12-22T03:05:42ZengUniversity of LjubljanaCenter for Educational Policy Studies Journal1855-97192232-26472018-06-018293010.26529/cepsj.271Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting ObjectsDina TiroshPessia TsamirRuthi BarkaiEsther LevensonThis paper synthesises research from three separate studies, analysing how different representations of a mathematical concept may affect young children’s engagement with mathematical activities. Children between five and seven years old engaged in counting objects, identifying triangles and completing repeating patterns. The implementation of three counting principles were investigated: the one-to-one principle, the stable-order principle and the cardinal principal. Children’s reasoning when identifying triangles was analysed in terms of visual, critical and non-critical attribute reasoning. With regard to repeating patterns, we analyse children’s references to the minimal unit of repeat of the pattern. Results are discussed in terms of three functions of multiple external representations: to complement, to constrain and to construct.https://ojs.cepsj.si/index.php/cepsj/article/view/271/277countingmultiple representationsrepeating patternstrianglesyoung children |
| spellingShingle | Dina Tirosh Pessia Tsamir Ruthi Barkai Esther Levenson Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects Center for Educational Policy Studies Journal counting multiple representations repeating patterns triangles young children |
| title | Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects |
| title_full | Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects |
| title_fullStr | Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects |
| title_full_unstemmed | Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects |
| title_short | Engaging Young Children with Mathematical Activities Involving Different Representations: Triangles, Patterns, and Counting Objects |
| title_sort | engaging young children with mathematical activities involving different representations triangles patterns and counting objects |
| topic | counting multiple representations repeating patterns triangles young children |
| url | https://ojs.cepsj.si/index.php/cepsj/article/view/271/277 |
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