Changing Pedagogical Paradigms: Integrating Generative AI in Mathematics to Enhance Digital Literacy through 'Mathematical Battles with AI'

Fuente: arXiv
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Main Authors: Moskalenko, Maria, Trifanov, Alexander, Popkov, Roman, Tabieva, Arina, Smirnova, Maria, Pravdin, Konstantin, Bakalin, Daniil
Format: Preprint
Published: 2026
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_version_ 1866910039296442368
author Moskalenko, Maria
Trifanov, Alexander
Popkov, Roman
Tabieva, Arina
Smirnova, Maria
Pravdin, Konstantin
Bakalin, Daniil
author_facet Moskalenko, Maria
Trifanov, Alexander
Popkov, Roman
Tabieva, Arina
Smirnova, Maria
Pravdin, Konstantin
Bakalin, Daniil
contents This paper introduces `Math Battles with AI', an innovative competitive format designed at ITMO University to redefine the role of generative AI in mathematics education. Moving away from a purely defensive stance, the authors propose an AI agent with intentionally increased hallucination likelihood in specific modes to train verification skills. We describe the three-stage tournament structure and a specialized assessment system that rewards critical verification over blind reliance. Initial results indicate a significant shift in student mindsets, fostering essential skills in digital hygiene and prompt engineering. This work serves as a practical guide for academic institutions aiming to leverage AI for enhancing, rather than undermining, intellectual development.
format Preprint
id arxiv_https___arxiv_org_abs_2603_02955
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Changing Pedagogical Paradigms: Integrating Generative AI in Mathematics to Enhance Digital Literacy through 'Mathematical Battles with AI'
Moskalenko, Maria
Trifanov, Alexander
Popkov, Roman
Tabieva, Arina
Smirnova, Maria
Pravdin, Konstantin
Bakalin, Daniil
Human-Computer Interaction
97P80, 97U50, 97U10
This paper introduces `Math Battles with AI', an innovative competitive format designed at ITMO University to redefine the role of generative AI in mathematics education. Moving away from a purely defensive stance, the authors propose an AI agent with intentionally increased hallucination likelihood in specific modes to train verification skills. We describe the three-stage tournament structure and a specialized assessment system that rewards critical verification over blind reliance. Initial results indicate a significant shift in student mindsets, fostering essential skills in digital hygiene and prompt engineering. This work serves as a practical guide for academic institutions aiming to leverage AI for enhancing, rather than undermining, intellectual development.
title Changing Pedagogical Paradigms: Integrating Generative AI in Mathematics to Enhance Digital Literacy through 'Mathematical Battles with AI'
topic Human-Computer Interaction
97P80, 97U50, 97U10
url https://arxiv.org/abs/2603.02955