Mathematical tools - Topics

Do Montessori maths materials beat standard classroom manipulatives? Do maths manipulatives build understanding or just keep hands busy? Soroban division without a table: how is it done? Which mathematical tools belong in an exam hall where calculators are banned? Abacus vs slide rule vs calculator: which still teaches number sense? Compass and straightedge constructions: what do they teach that software does not? How accurate is a plastic protractor next to a steel one? Why does a slide rule multiply by adding lengths? Why do good set squares have bevelled edges? Trisecting an angle with a marked ruler: where does the classic proof break? Dividing a circle into equal parts without CAD Graph paper vs logarithmic paper: how does the choice change what you see? French curve vs flexible curve for a clean spline Spreadsheets vs a real database app: when a two-tab sheet stops working Unit converter apps: the rounding errors that matter in engineering work How do you clear the register on a Curta mechanical calculator? Where is a nomogram still faster than a spreadsheet? Statistical packages vs a spreadsheet add-in for a small study Do mathematicians still keep a slide rule as a working tool?