AI in Assessment Example: Level 1

Mathematical Proof (Mathematics)

At this “No AI” level of the five-level AI Assessment Scale (Perkins, et al., 2024) the assignment is completed entirely without the use of Al. This level requires students to rely solely on their own knowledge, understanding, and skills. Al must not be used at any point during the assessment.

Assignment Title: Proof of a Theorem

Course: MATH 300: Introduction to Mathematical Reasoning

Due Date: [Insert Due Date]

Assignment Overview:
In this assignment, you will develop and present a proof for a given mathematical theorem. The goal is to demonstrate your understanding of logical reasoning and your ability to construct a rigorous and clear mathematical proof. The use of AI tools is not permitted; you must rely entirely on your own knowledge, problem-solving skills, and logical reasoning.

Objectives:

To develop a clear and rigorous proof of a mathematical theorem.
To enhance your logical reasoning and problem-solving skills.
To practice writing and presenting mathematical proofs without AI assistance.

Instructions:

Understand the Theorem:
- Begin by carefully reading and understanding the theorem you need to prove. Ensure you understand the key concepts and any relevant definitions, lemmas, or previously established theorems.
- Think about the logical steps required to prove the theorem and the different approaches you might take.
Develop the Proof:
- Write out a step-by-step proof of the theorem, ensuring that each step logically follows from the previous one. Use appropriate mathematical notation and clearly justify each step with logical reasoning or reference to established results.
- Focus on clarity and precision, making sure that your proof is rigorous and leaves no gaps in logic.
Revise and Refine:
- Review your proof to ensure that it is complete, correct, and clearly presented. Pay attention to the flow of logic and the clarity of your explanations.
- If possible, discuss your proof with classmates or your instructor to get feedback and make further improvements.
Final Submission:
- Submit your final proof by the due date. The proof should be neatly written or typed, with clear logical reasoning and appropriate mathematical notation.
- Ensure that the proof is entirely your own work, developed without any AI assistance.

Evaluation Criteria:

– Logical Rigor (40%): Demonstrating a clear and rigorous proof with correct logical reasoning.

– Clarity and Precision (30%): Presenting the proof in a clear, precise, and well-organized manner.

– Understanding of Mathematical Concepts (20%): Showing a deep understanding of the theorem and related concepts.

– Writing Quality (10%): Producing a well-written and polished proof with attention to mathematical notation and language.

Academic Integrity: This assignment must be completed without any AI assistance. Use of AI tools to generate or assist with the proof will be considered a violation of academic integrity. Your submission must reflect your own logical reasoning and problem-solving skills.

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