Subjects / Mathematics

Handwritten mathematics, step by step

From scanned working to feedback in Canvas. Lectora drafts against your marking guidance; you review the method, notation and reasoning.

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Illustrative assessment example

Fictional work and authored feedback, shown to explain the workflow.

solution-03.pdf
Fictional handwritten Lagrange-multiplier solution. The student finds x = y = 3 and the value 27, without justifying that the point is a minimum.
Read the handwriting as text

f(x, y) = x² + xy + y²; x + y = 6.

L = x² + xy + y² − λ(x + y − 6).

∂L/∂x = 2x + y − λ = 0; ∂L/∂y = x + 2y − λ = 0.

2x + y = x + 2y ⇒ x = y. x + y = 6 ⇒ x = y = 3.

f(3, 3) = 9 + 9 + 9 = 27. min f = 27.

Explore the example

Start with the method

The student uses a Lagrange multiplier to account for the constraint x + y = 6.

Example marking criterion
Formulate the constrained optimisation problem.

Example feedback for review

Your Lagrangian includes both the objective and the constraint. This gives you a sound starting point for the calculation.

You check the reading, the reasoning and the proposed assessment.

What should the working demonstrate?

Your assessment criteria can distinguish the approach from the final answer. These are examples of what to specify in the marking guidance.

Method and intermediate steps

Specify which steps demonstrate understanding and when a sound method merits partial credit despite a calculation error. The examiner checks the proposed points against the actual working.

Notation and equivalent expressions

State which answer forms and notation are acceptable. Clear scans help preserve the distinctions between symbols; any uncertain reading needs checking against the original.

Proof and justification

Ask for assumptions, a connected argument and a justified conclusion. Use the feedback draft to support your review of those criteria, with the submitted proof in view.

From submitted work to a draft you can review

How Lectora reads the documents

  1. Provide the work

    Bring the submissions, assignment and examiner guidance into the assessment.

  2. Read in context

    Lectora works with supported files and relevant available course material.

  3. Draft the assessment

    A proposed score and written feedback give you a starting point for review.

  4. Review and publish

    You check and edit. A qualified examiner approves each grade before it reaches Canvas.

Questions from educators

Yes. PDF and image submissions can be supplied to the grading model, including scanned handwritten work. This does not guarantee that every symbol or line is read correctly. Review the draft alongside the original, especially where handwriting, image quality or notation is ambiguous.

Bring your mathematics assessment

Explore how your assignment, marking guidance and submission formats fit the review process in Canvas.

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