The Use of Variables in a Patterning Activity: Counting Dots

The present paper examines a patterning activity that was organised within a teaching experiment in order to analyse the different uses of variables by secondary school students. The activity presented in the paper can be categorised as a pictorial/geometric linear pattern. We adopted a student-orie...

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Main Authors: Bożena Maj-Tatsis, Konstantinos Tatsis
Format: Article
Language:English
Published: University of Ljubljana 2018-06-01
Series:Center for Educational Policy Studies Journal
Subjects:
Online Access:https://ojs.cepsj.si/index.php/cepsj/article/view/309/279
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author Bożena Maj-Tatsis
Konstantinos Tatsis
author_facet Bożena Maj-Tatsis
Konstantinos Tatsis
author_sort Bożena Maj-Tatsis
collection DOAJ
description The present paper examines a patterning activity that was organised within a teaching experiment in order to analyse the different uses of variables by secondary school students. The activity presented in the paper can be categorised as a pictorial/geometric linear pattern. We adopted a student-oriented perspective for our analysis, in order to grasp how students perceive their own generalising actions. The analysis of our data led us to two broad categories for variable use, according to whether the variable is viewed as a generalised number or not. Our results also show that students sometimes treat the variable as closely linked to a referred object, as a superfluous entity or as a constant. Finally, the notion of equivalence, which is an important step towards understanding variables, proved difficult for our students to grasp.
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publisher University of Ljubljana
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series Center for Educational Policy Studies Journal
spelling doaj-art-767e730a558b47dfa7981d42bbe4527b2025-08-20T02:13:45ZengUniversity of LjubljanaCenter for Educational Policy Studies Journal1855-97192232-26472018-06-0182557010.26529/cepsj.309The Use of Variables in a Patterning Activity: Counting DotsBożena Maj-TatsisKonstantinos TatsisThe present paper examines a patterning activity that was organised within a teaching experiment in order to analyse the different uses of variables by secondary school students. The activity presented in the paper can be categorised as a pictorial/geometric linear pattern. We adopted a student-oriented perspective for our analysis, in order to grasp how students perceive their own generalising actions. The analysis of our data led us to two broad categories for variable use, according to whether the variable is viewed as a generalised number or not. Our results also show that students sometimes treat the variable as closely linked to a referred object, as a superfluous entity or as a constant. Finally, the notion of equivalence, which is an important step towards understanding variables, proved difficult for our students to grasp.https://ojs.cepsj.si/index.php/cepsj/article/view/309/279generalisationpatterning activityvariable
spellingShingle Bożena Maj-Tatsis
Konstantinos Tatsis
The Use of Variables in a Patterning Activity: Counting Dots
Center for Educational Policy Studies Journal
generalisation
patterning activity
variable
title The Use of Variables in a Patterning Activity: Counting Dots
title_full The Use of Variables in a Patterning Activity: Counting Dots
title_fullStr The Use of Variables in a Patterning Activity: Counting Dots
title_full_unstemmed The Use of Variables in a Patterning Activity: Counting Dots
title_short The Use of Variables in a Patterning Activity: Counting Dots
title_sort use of variables in a patterning activity counting dots
topic generalisation
patterning activity
variable
url https://ojs.cepsj.si/index.php/cepsj/article/view/309/279
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