Tips for mathematical handwriting (2007)

Character Distinctions and Symbol Variants

• Many commenters already follow similar “disambiguation” habits as the article:
  • Cross Z (and sometimes 7, 0) to avoid confusion with 2 and O.
  • Add tails/hooks to u vs v, and alter a so it’s distinct from u/v and 2.
  • Add a deliberate bottom swoop on i so j can be a straight descender.
  • Use dotted or slashed 0 vs plain O; some prefer a dot inside 0 to avoid clash with ∅ or φ.
  • Make l clearly different from 1 and I (loop, hook, or use ℓ); some argue this is essential, others say l is fine if written carefully.
  • Distinguish p from ρ, often by using \varrho, and φ vs ∅ vs 0 via \varphi and stroke orientation.
  • x vs × vs χ: hooks, curved “cc” style, centered ×, or just relying on · / inner-product notation instead of ×.
• Greek letters: links to handwriting charts; some note common confusions (ξ vs ζ, cursive θ). One person jokingly bans ξ; another writes Ω as an underlined O for ease.

Paper, Tools, and Physical Setup

• Strong opinions on paper:
  • Blank white praised for lack of visual clutter; others find it too open and prefer faint lines or dot grid.
  • Graph/engineering paper liked for alignment, tables, indentation; disliked by some as “busy.”
  • Mixed‑media / art sketchbooks (large, thick, rough paper) considered very pleasant and possibly cognitively helpful.
• Suggestions for structure without clutter: pencil boards under blank paper, printable dot grids.
• Digital math writing: consensus that a screen under the pen (iPad, Surface, Samsung tablet with Wacom) beats display‑less tablets; note on active vs passive pens and battery issues.

Teaching, Legibility, and Student Habits

• Teachers report students producing maximally ambiguous glyphs (1 vs 7, 4 vs 8, T vs F) and even trying to game grading; countermeasures include “round toward wrong” policies or forcing circling TRUE/FALSE.
• Several instructors explicitly teach handwriting of symbols and multiple Greek pronunciations; biologists and non‑math majors often struggle with notation reuse.
• One view: many students are “derailed” very early by phrases like “let x be the unknown” and by a broader social attitude that being bad at math is normal.
• Some people simply have chronically bad handwriting despite heavy practice, and find these tricks necessary rather than optional.

Notation Style and Greek vs Words

• One thread argues for programmer‑style descriptive names instead of single‑letter (often Greek) symbols; others push back that:
  • Math notation is essentially dense, handwritten shorthand; longer names would explode expressions (e.g., quotient rule) and slow manipulation.
  • Symbols are only meaningful once defined; once internalized, longer names add little.
  • Historical experience with prose‑only math was far worse for comprehension.
• Analogy drawn to short Unix command names: cryptic at first, efficient once learned.

Historical Scripts and Typography

• Detailed discussion of Carolingian minuscule and how the original hooked lowercase l differed from I; disagreement over how “easily distinguishable” it really was in manuscripts.
• Critique of modern serif and sans‑serif fonts (especially some sans) for making 1/I/l and similar glyphs overly similar; praise for typefaces that restore a hooked l and for programmer‑oriented monospace fonts that emphasize these distinctions.