Designing AI Peers for Collaborative Mathematical Problem Solving with Middle School Students: A Participatory Design Study

Fuente: arXiv
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Main Authors: Lyu, Wenhan, Wang, Yimeng, Yue, Murong, Sun, Yifan, Suh, Jennifer, Kier, Meredith, Yao, Ziyu, Zhang, Yixuan
Format: Preprint
Published: 2026
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author Lyu, Wenhan
Wang, Yimeng
Yue, Murong
Sun, Yifan
Suh, Jennifer
Kier, Meredith
Yao, Ziyu
Zhang, Yixuan
author_facet Lyu, Wenhan
Wang, Yimeng
Yue, Murong
Sun, Yifan
Suh, Jennifer
Kier, Meredith
Yao, Ziyu
Zhang, Yixuan
contents Collaborative problem solving (CPS) is a fundamental practice in middle-school mathematics education; however, student groups frequently stall or struggle without ongoing teacher support. Recent work has explored how Generative AI tools can be designed to support one-on-one tutoring, but little is known about how AI can be designed as peer learning partners in collaborative learning contexts. We conducted a participatory design study with 24 middle school students, who first engaged in mathematics CPS tasks with AI peers in a technology probe, and then collaboratively designed their ideal AI peer. Our findings reveal that students envision an AI peer as competent in mathematics yet explicitly deferential, providing progressive scaffolds such as hints and checks under clear student control. Students preferred a tone of friendly expertise over exaggerated personas. We also discuss design recommendations and implications for AI peers in middle school mathematics CPS.
format Preprint
id arxiv_https___arxiv_org_abs_2601_17962
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Designing AI Peers for Collaborative Mathematical Problem Solving with Middle School Students: A Participatory Design Study
Lyu, Wenhan
Wang, Yimeng
Yue, Murong
Sun, Yifan
Suh, Jennifer
Kier, Meredith
Yao, Ziyu
Zhang, Yixuan
Human-Computer Interaction
Collaborative problem solving (CPS) is a fundamental practice in middle-school mathematics education; however, student groups frequently stall or struggle without ongoing teacher support. Recent work has explored how Generative AI tools can be designed to support one-on-one tutoring, but little is known about how AI can be designed as peer learning partners in collaborative learning contexts. We conducted a participatory design study with 24 middle school students, who first engaged in mathematics CPS tasks with AI peers in a technology probe, and then collaboratively designed their ideal AI peer. Our findings reveal that students envision an AI peer as competent in mathematics yet explicitly deferential, providing progressive scaffolds such as hints and checks under clear student control. Students preferred a tone of friendly expertise over exaggerated personas. We also discuss design recommendations and implications for AI peers in middle school mathematics CPS.
title Designing AI Peers for Collaborative Mathematical Problem Solving with Middle School Students: A Participatory Design Study
topic Human-Computer Interaction
url https://arxiv.org/abs/2601.17962