### Developing Algebraic Thinking Skills among Grade Three Pupils through Pictorial Models

#### Abstract

*ABSTRACT**: **During** **the** **primary** **grades,** **young** **children** **work with patterns. At an early age, children have a natural love for **M**athematics,** **and** **their** **curiosity** **is** **a strong motivator as they try to describe and extend patterns of shapes, colors, sounds, and eventually letters and numbers. At a young age, children** **can** **begin** **to** **make** **generalizations** **about** **patterns** **that** **seem** **to** **be** **the** **same** **or** **different.** **This** **kind** **of** **categorizing** **and** **generalizing** **is** **an** **important** **developmental** **step** **on** **the** **journey** **toward** **A**lgebraic** **thinking**. **Algebra** **instruction** **has** **traditionally** **been** **postponed** **until** **adolescence**, **because** **of** **the** **assumptions** **about** **psychological** **development** **and** **developmental** **readiness.** **Concrete** **operational** **children** **tend** **to** **be** **capable** of mental operations as long as they relate to real** **objects, events,** **and** **situations**. **As** **they** **mature,** **they** **are** **able** **to** **work** **with** **more** **abstract** **concepts** **without** **the aid of concrete objects.** **The study attempted to determine the effect of using pictorial models on the **A**lgebraic thinking skills of grade three pupils. The one-group pre**-**test** **–** **post**-**test experimental research design was used in this study. Twenty-eight grade three pupils participated in the study. To determine the effect of using pictorial models, an **A**lgebraic thinking skills test was given to the pupils before and after using pictorial models. Results showed that the use of pictorial models significantly improved the **A**lgebraic thinking skills of the pupils. Interviews from the pupils revealed that pictorial models helped them to solve problems easier. The findings suggest that **A**lgebraic thinking can be taught even at the early age. *

*K**EY WORDS**: **A**lgebraic** **T**hinking**; Y**oung** **C**hildren**; P**atterns**; L**etters** **and** **N**umbers**; P**ictorial **M**odel**.*

*About the Authors:***Jadith Tagle, M.A.T.** is a Teacher at the Faculty of De La Salle School-Greenhills, Philippines. **Rene R. Belecina, Ph.D. **is a Full Professor at the CGESTER PNU (College of Graduate Studies and Teacher Education Research, Philippine Normal University). **Jose M. Ocampo, Jr., Ph.D.** is a Full Professor at the Faculty of Education Sciences PNU in the Philippines. The authors can be contacted via their e-mails at: jadithtagle88@gmail.com, rrbelecina@yahoo.com, and juno_6970@yahoo.com

** How to cite this article?** Tagle, Jadith, Rene R. Belecina & Jose M. Ocampo, Jr. (2016). “Developing Algebraic Thinking Skills among Grade Three Pupils through Pictorial Models” in

*EDUCARE: International Journal for Educational Studies*, Vol.8(2) February, pp.147-158. Bandung, Indonesia: Minda Masagi Press and UMP Purwokerto, ISSN 1979-7877.

*Chronicle of the article: *Accepted (November 30, 2015); Revised (January 20, 2016); and Published (February 28, 2016).

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