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Mathematical Integrity Engine (MEI)

Go beyond final answers. Analyze the thinking behind the work.
MEI evaluates step-by-step reasoning, solution structure, and problem-solving behavior to detect anomalies in quantitative work.

What MEI Does?

Integrity at the Level of Reasoning

Traditional systems can’t evaluate how a student arrives at an answer only whether the answer matches.

MEI changes that.

By analyzing the structure of problem-solving, MEI identifies:

• Unnatural jumps in logic
• Missing or inconsistent steps
• AI-generated or externally assisted solution paths
• Deviations from a student’s established reasoning patterns

This is not answer-checking.
This is reasoning intelligence.

Core Capabilities

Step-by-Step Reasoning Analysis

Break down how a solution is constructed from start to finish.

Solution Path Entropy Detection

Identify irregular or overly optimized solution paths inconsistent with human problem-solving.

Reasoning Drift Detection

Compare current work against a student’s historical Math Profile to detect anomalies.

Cross-Disciplinary Quantitative Analysis

Supports mathematics, physics, engineering, economics, and other quantitative fields.

Why It Matters 

The Missing Layer in Academic Integrity

AI tools can generate correct answers but often bypass authentic reasoning.

MEI empowers institutions to

 Validate true competency, not just correctness

Detect integrity issues in subjects where traditional tools fail

Reduce reliance on assumptions by analyzing actual work structure

 Support instructors with clear, explainable reasoning signals

This is the difference between:

“The answer is correct”

vs

“The work is authentic.”



How It Works

 Baseline Assessment (Math Profile)

MEI builds a student’s Math Profile using structured baseline exercises, capturing patterns in reasoning style, step construction, and problem-solving behavior.

 Submission Analysis

Each new solution is evaluated step-by-step, analyzing structure, sequence, and logical progression.

 Reasoning Signal Detection

MEI generates structured signals, including:
• Anomaly Score
• Reasoning Drift
• Solution Path Entropy

• Problem Complexity Index (PCI) 

Instructor Review  

All findings are presented in the Honest Report, where the instructor reviews:
• Step-by-step breakdown
• Reasoning inconsistencies
• Comparative analysis against the student’s Math Profile

Instructor Decision Gate

All signals remain internal until reviewed. 

No student-facing action occurs without instructor confirmation.

The instructor must choose one of the following:
• Confirm Integrity Concern → Flag Activated
• Dismiss Concern → No Action Taken
• Request Clarification → Student Engagement Triggered

Flag Activation (Conditional)

Only instructor-confirmed cases become official integrity flags, enabling tracking, visibility, and escalation if necessary.

Escalation & Resolution (If Required)

Confirmed cases may proceed through the Integrity Framework, including:
• Integrity Committee review
• Structured dispute resolution
• Final determination with full audit trail

Escalation & Resolution (If Required)

Confirmed cases may proceed through the Integrity Framework, including:
• Integrity Committee review
• Structured dispute resolution
• Final determination with full audit trail

Key Signals

MEI generates structured indicators such as:

• Anomaly Score
• Reasoning Drift Score
• Solution Path Entropy
• Problem Complexity Index (PCI)

These signals provide quantifiable insight into how work was produced, not just what was submitted.

See MEI in Action View Quantitative Honest Report

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