The Myth of Computation: A Mathematics Instruction Prioritizing Answers over Quantitative Relationships

Abstract

This article aims to critique a deeply rooted problem in Thailand’s mathematics education system—the adherence to what we call the Myth of Computation. This refers to the belief that successful mathematics learning means quickly finding correct answers through prescribed procedures. The author analyzes this issue through the theoretical framework of Early Algebra, drawing on significant international research and theories. The study reveals that the true foundation of algebra does not begin with using symbolic letters x or y, but rather with the ability to reason about quantities and relationships, as well as cultivating analytical thinking habits from an early age. Moreover, research evidence shows that elementary students possess the capacity for functional thinking and can create generalizations through the use of variables and diagrams to represent structural relationships. These findings stand in stark contrast to teaching methods in Thailand, which often limit students to merely calculating numerical answers (Arithmetic results). This article proposes that if we want children to truly understand algebra, we should emphasize generational activities over transformational activities, to effectively build a bridge from arithmetic to algebra. A key recommendation is that teachers should shift their role from being procedural instructors to becoming designers of problem situations that stimulate students to discover quantitative relationships and construct mathematical rules independently. This will help prepare them to confidently learn higher-level mathematics in the future.