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feat: handle cascading borrows in borrowing hints 

Improve borrowing hints to properly show cascading borrows:
- Detect when borrowing from 0 (cascade situation)
- Show "10 - 1" for intermediate cascade steps
- Show "n - 1" for source non-zero digit
- Example: 300 - 157 shows "3 - 1" at hundreds, "10 - 1" at tens

This makes the hints pedagogically correct for all subtraction
cases, avoiding confusing "0 - 1" displays for young learners.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>
This commit is contained in:
Thomas Hallock 2025-11-08 07:14:55 -06:00
parent 112745ce16
commit 3e1b51bd84
1 changed files with 12 additions and 4 deletions
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16
apps/web/src/app/create/worksheets/addition/typstHelpers.ts
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@ -435,10 +435,18 @@ export function generateSubtractionProblemStackFunction(
let source-color = place-colors.at(i) // This place (giving) let source-color = place-colors.at(i) // This place (giving)
let dest-color = place-colors.at(i - 1) // Lower place (receiving) let dest-color = place-colors.at(i - 1) // Lower place (receiving)
// When showing hints, add small text showing what value to write // When showing hints, determine what to display based on cascading
if show-borrowing-hints and i <= m-highest { if show-borrowing-hints and i <= m-highest {
// Determine the actual value to show in the hint
// For cascading: if this digit is 0, it received 10 from left and gives 1 to right
// So it shows "10 - 1". Otherwise it shows "original - 1"
let original-digit = m-digits.at(i) let original-digit = m-digits.at(i)
let reduced-digit = original-digit - 1
// Check if this is part of a cascade (is it 0 and needs to borrow?)
let is-cascade = original-digit == 0
// The display value is either the original digit or 10 (if cascading)
let display-value = if is-cascade { 10 } else { original-digit }
(box(width: ${cellSizeIn}, height: ${cellSizeIn})[ (box(width: ${cellSizeIn}, height: ${cellSizeIn})[
// Show the borrow box with hint text at top // Show the borrow box with hint text at top
@ -449,7 +457,7 @@ export function generateSubtractionProblemStackFunction(
top + center, top + center,
dy: 2pt, dy: 2pt,
box[ box[
#text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: white, stroke: 0.3pt + black, weight: "bold")[#str(original-digit) − ] #text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: white, stroke: 0.3pt + black, weight: "bold")[#str(display-value) − ]
#text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: white, stroke: 0.3pt + black, weight: "bold")[1] #text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: white, stroke: 0.3pt + black, weight: "bold")[1]
] ]
) )
@ -480,7 +488,7 @@ export function generateSubtractionProblemStackFunction(
top + center, top + center,
dy: 2pt, dy: 2pt,
box[ box[
#text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: gray.darken(30%), weight: "bold")[#str(original-digit) − ] #text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: gray.darken(30%), weight: "bold")[#str(display-value) − ]
#text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: gray.darken(30%), weight: "bold")[1] #text(size: ${(cellSizePt * 0.25).toFixed(1)}pt, fill: gray.darken(30%), weight: "bold")[1]
] ]
) )