Context injection for problem solving? An indexed knowledge base on Polya's "How to solve it" (1949) to enhance LLMs problem-solving strategies in mathematics education

Research output: Preprint/Documentation/ReportWorking paper

Contributors

Abstract

This document provides an adapted set of heuristic strategies for mathematical problem solving based on George Pólya’s How to Solve It (1949). Carefully reformulated for clarity and instructional use, the strategies are structured to support static context injection in large language models (LLMs). The goal is to enhance the quality of AI-generated solutions in mathematics education by embedding domain-specific reasoning patterns. The resource is suitable for prompt design and use in retrieval-augmented generation (RAG) scenarios.

Details

Original languageEnglish
Publication statusPublished - 2025
No renderer: customAssociatesEventsRenderPortal,dk.atira.pure.api.shared.model.researchoutput.WorkingPaper

External IDs

ORCID /0000-0002-9898-8322/work/189291151

Keywords

DFG Classification of Subject Areas according to Review Boards

Subject groups, research areas, subject areas according to Destatis

Sustainable Development Goals

Keywords

  • Mathematikdidaktik, Künstliche Intelligenz, Problemlösen, Mathematics Education Research, Artificial Intelligence, Problem Solving