DIDACTIC FOUNDATIONS OF APPLYING THE SINGAPORE MATH BAR MODELING METHOD IN PREPARATION FOR MATH OLYMPIADS

Abstract

The article considers one of the pressing issues in the modern educational system: developing logical thinking 
skills in primary school students and finding ways to solve non-standard mathematical olympiad problems. The 
Singapore math bar modeling method, which demonstrates high performance globally, serves as the main subject of 
research, with a deep scientific and methodological analysis performed on its didactic foundations. 
The effectiveness of the Singapore mathematics method in solving olympiad problems is substantiated through 
theoretical and methodological rationale, systematization of modeling approaches, and qualitative comparative analysis. 
The article extensively presents specific algorithms and structural model characteristics for solving word problems that 
involve age-related relations, combinatorial patterns, and multi-step complex logical thinking tasks. 
The analysis proves that the bar modeling method allows for representing problem conditions visually and 
spatially, structuring abstract mathematical language, and understanding complex logical connections easily without 
relying on equations. Furthermore, this method significantly reduces cognitive load while enhancing reversible 
thinking, functional literacy, and intrinsic cognitive motivation in students. The article concludes by highlighting the significance and methodological necessity of broadly implementing 
this innovative strategy into school practice when preparing students for mathematical olympiads and academic 
competitions.