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Explain & Assess: peer review of mathematical reasoning videos

A template for assessing mathematical reasoning through short video explanations, where students verbalise their thinking, give structured peer feedback on each other's videos, and receive instructor feedback on the quality of the feedback they provided.
Created by:
Tanya Evans
University of Auckland
Pedagogy
Peer Review
Learning outcome
Prep time
Intermediate (10-30 min)
Learning tool
Peer Review
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Why this learning activity?

Learning activities targeting high-order skills like this one can help you activate students more effectively. This learning activity will help you with:
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Mathematical Reasoning and Communication

Students will articulate and communicate the logical steps underlying a solution by verbalising their thinking in a short video, making mathematical communication an explicit and assessable skill.
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Critical Evaluation

Students will evaluate the correctness and clarity of a peer's mathematical explanation using a structured rubric, assessing the quality of reasoning rather than simply the answer.
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Feedback Literacy

Students will develop feedback literacy by giving structured peer assessments and receiving instructor feedback on the quality of the feedback they provided.
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Activity setup

Explain & Assess: peer review of mathematical reasoning videos

Start using this template

Activity steps

  1. Read instructions: Students read the activity instructions and familiarise themselves with the submission and peer review requirements.
  2. Submission: Students record and submit a 2–5 minute video in which they verbalise their mathematical reasoning, explaining not just what each step says but why it is valid and how it contributes to the overall argument.
  3. Peer review: Students give structured feedback on their peers' video explanations, evaluating the clarity and correctness of their mathematical reasoning.
  4. Feedback on feedback: : Students evaluate the quality of the peer feedback they receive, providing a score and brief comment. Instructors oversee the process and provide moderation only where necessary, allowing the system to be largely self-sustaining.
  5. Received reviews: Students review the feedback they receive and reflect on its quality and implications for improving their work.
  6. Grading: Students receive a grade based on their video submission, completion of peer assessment, and the average peer mark received.

Activity goals

This activity helps facilitate a flipped classroom approach to your teaching. When student engage with material prior to class there are several benefits:
  1. Read instructions: Students read the activity instructions and familiarise themselves with the submission and peer review requirements.
  2. Submission: Students record and submit a 2–5 minute video in which they verbalise their mathematical reasoning, explaining not just what each step says but why it is valid and how it contributes to the overall argument.
  3. Peer review: Students give structured feedback on their peers' video explanations, evaluating the clarity and correctness of their mathematical reasoning.
  4. Feedback on feedback: : Students evaluate the quality of the peer feedback they receive, providing a score and brief comment. Instructors oversee the process and provide moderation only where necessary, allowing the system to be largely self-sustaining.
  5. Received reviews: Students review the feedback they receive and reflect on its quality and implications for improving their work.
  6. Grading: Students receive a grade based on their video submission, completion of peer assessment, and the average peer mark received.

Learning tools

Peer Review

Stimulate lifelong learning with peer feedback

In this activity

  • The activity was developed to address two interconnected challenges: the growing use of generative AI in take-home assignments, and students producing correct answers without genuinely understanding the reasoning behind them. Rather than preventing AI use, it changes what is being assessed entirely.
  • The design turns assessment into a cycle of explaining → evaluating → receiving feedback → reflecting, shifting the emphasis from the final written product to the student's mathematical sense-making and communication.
  • Grounded in Generative Learning Theory and the robust self-explanation effect documented in the science of learning, the activity prompts students to generate explanations of why each mathematical step is valid, rather than simply stating what it is, thereby supporting the formation of conceptual knowledge and more long-lasting learning.
  • Peer assessment exposes students to the diversity of ways in which the same problem can be approached and communicated, with students reporting that they particularly valued seeing different approaches to the same mathematical problem.
  • Students may use AI to investigate the mathematics, but must independently explain their reasoning on video — making genuine understanding impossible to fake.
  • The approach has produced encouraging results: a 16% increase in pass rate, a drop in exam absenteeism from over 15% to 9%, and an increase in A and B grades.
  • The core design is transferable beyond mathematics — any discipline where students can be asked to make their thinking visible and evaluate how others think can adopt the same assessment architecture.

Notable settings

Anonymity
Reflection
Grading

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