Early algebra: Repeating pattern and structural thinking at foundation phase

South African Journal of Childhood Education


 
 
Field Value
 
Title Early algebra: Repeating pattern and structural thinking at foundation phase
 
Creator du Plessis, Jacques
 
Subject — — —
Description Background: Working structurally with patterns at foundation phase (FP) enhances habits of mind that advance early algebra at this early stage of mathematical learning. The South African curriculum proposes that learners work with and understand the logic of a pattern, but this important idea has largely been neglected in classroom texts and in the supporting texts that guide teachers regarding curriculum implementation. At FP, most problems dealing with cyclical structure operate at a level of extending sequences by producing the next item that continues the order in which items are presented.Aim: The purpose of this article is to examine the curriculum documents and teaching resources used by FP teachers to deal with repeating patterns. Across the elementary mathematical landscape, there are opportunities to work explicitly with structure in its various conceptual embodiments.Setting: Six Grade 2 teachers in public schools participated in three workshops that foreground a structural approach to teaching pattern.Methods: A thorough document study was conducted to ascertain what the curriculum and supporting texts make available for the teaching and learning of repeating pattern.Results: A more structural approach fosters algebraic habits of mind that lead to more sophisticated forms of mathematical reasoning. A typology that summarises the relational features, intended skills development, complexity of sequences and the use of structural features on four levels is proposed to guide practice towards structural exploration.Conclusion: Focusing on the cyclical structural aspects embedded in repeating patterns inducts the young learner into relational thinking that advance early algebra.
 
Publisher AOSIS
 
Contributor
Date 2018-11-15
 
Type info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion — —
Format text/html application/epub+zip application/xml application/pdf
Identifier 10.4102/sajce.v8i2.578
 
Source South African Journal of Childhood Education; Vol 8, No 2 (2018); 11 pages 2223-7682 2223-7674
 
Language eng
 
Relation https://sajce.co.za/index.php/sajce/article/view/578/845 https://sajce.co.za/index.php/sajce/article/view/578/844 https://sajce.co.za/index.php/sajce/article/view/578/846 https://sajce.co.za/index.php/sajce/article/view/578/798
 
Coverage — — —
Rights Copyright (c) 2018 Jacques du Plessis https://creativecommons.org/licenses/by/4.0