Evaluate signed integer operation claims and reveal reversed-sign, ignored-negative, subtraction-choice, and exact-division evidence for review.
Runs in this browser tabEditable downloadUp to 500 structured rows and 30,000 characters per field. Use anonymous or fictional labels.
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Review output
Your learning artifact appears here
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
How the integer operation reasoning misconception diagnostic works
Addition combines signed quantities. Subtraction a minus b is equivalent to a plus negative b. A product or quotient is positive when its two nonzero operands have the same sign and negative when their signs differ. The engine calculates the exact JavaScript number value within bounded inputs, compares it using a tight numeric tolerance, and then tests limited alternatives such as the opposite sign or ignored negative signs. Claim supported means the entered number matches the selected operation. A reversed-sign label means the magnitude is correct but direction differs. An ignored-negative label indicates that replacing signed operands with magnitudes reproduces the claim. A subtraction-as-addition label is similarly specific. These comparisons identify a visible response pattern only; ask for a number-line movement, counter model, or explanation of the additive inverse before drawing a learning conclusion.
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Before generation
Confirm the prompt, source values, units, signs, notation, precision, and model required by the current course. Keep an untouched copy of observations or responses before changing a row.
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During review
Run the worked example first, inspect every intermediate row, and compare the table with a hand calculation, diagram, number line, periodic table, or approved laboratory method.
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Before use
Record the method, assumptions, units, rounding, limits, and any row that needs review. Use the exported report as editable evidence and verify it independently before assessment or laboratory use.
Use this diagnostic for a short evidence review after signed-number work with number lines, counters, contexts, or operation properties. Several rows can help a learner or teacher separate a sign decision from an arithmetic decision. The rule checks a small set of common response patterns without assigning a fixed misconception to a person. It is suited to formative feedback, worked-example comparison, and targeted practice planning, but it is not a gradebook or automated intervention decision.
Worked example
The example confirms negative seven plus twelve equals five, flags eight minus negative three when the response is five instead of eleven, confirms that two negative factors produce positive twenty-four, and confirms twenty-one divided by negative three equals negative seven. The final response gives positive fourteen for negative nine plus negative five, so its magnitude matches but its sign is reversed. The report keeps expected values and claims in the same row.
Formula or methodology
Addition combines signed quantities. Subtraction a minus b is equivalent to a plus negative b. A product or quotient is positive when its two nonzero operands have the same sign and negative when their signs differ. The engine calculates the exact JavaScript number value within bounded inputs, compares it using a tight numeric tolerance, and then tests limited alternatives such as the opposite sign or ignored negative signs.
How to interpret the result
Claim supported means the entered number matches the selected operation. A reversed-sign label means the magnitude is correct but direction differs. An ignored-negative label indicates that replacing signed operands with magnitudes reproduces the claim. A subtraction-as-addition label is similarly specific. These comparisons identify a visible response pattern only; ask for a number-line movement, counter model, or explanation of the additive inverse before drawing a learning conclusion.
Common mistakes
Do not teach every integer operation as one memorized sign slogan, confuse subtraction with the sign of the second number, apply multiplication sign rules to addition, drop parentheses around a negative divisor, or assume an incorrect sign proves careless work. Estimate direction first, rewrite subtraction as addition of the opposite, use zero pairs when helpful, and check whether the context treats positive and negative as position, change, elevation, charge, or another meaning.
This browser-local workbench applies only the disclosed rules to entered values. It cannot diagnose learning, establish a chemical structure, certify a measurement system, validate an experiment, or replace the method and judgment required by a teacher, curriculum, laboratory, or institution.
Review checklist
Human review before educational use
Every value, symbol, sign, unit, and response comes from the intended prompt or evidence source.
The implemented arithmetic or scientific rule matches the current course method.
Intermediate rows and flagged alternatives have been inspected rather than using only the headline.
A teacher or learner verifies the report with an independent method and the original context.
Does Nirmion upload these responses or observations?
No. Processing occurs in the current browser tab. Avoid names and other personal information, and retain authoritative records only in the system approved by the school.
Can the result identify a learner misconception by itself?
No. A matched pattern describes one entered response. Ask the learner to explain, use another representation, and review several evidence sources before deciding the next teaching step.
Can I submit the downloaded report as finished work?
Treat it as an editable calculation aid. Show your own reasoning, use the method requested by the course, cite required sources, and follow the applicable academic-integrity rules.
