mathematize
Express through equations
To mathematize is to express something in mathematical terms or apply mathematical methods to a subject not inherently numerical: Galileo mathematized physics, attempts to mathematize economics.
The word implies bringing rigor and precision to fields that previously relied on qualitative description.
Also spelled mathematise in British English.
Make official or systematic
- systematizeArrange into ordered structure
- abstractCondensed version of text
- generalizeMake broadly applicable
- theorizeForm explanatory suppositions
codify · structure · symbolize · schematize · standardize · rationalize · quantify · notate
Philosophy emphasizing ideal Forms
- rationalismReason as knowledge source
- reductionismExplaining wholes through parts
- determinismDoctrine of causal necessity
- mechanismMeans by which something operates
scientism · positivism · formalism · structuralism · abstraction · idealization · universalize · essentialize
Express numerically
- measureUnit of quantity
- calculateDetermine through math
- enumerateList items individually
- modelRepresentation or paradigm
parameterize · digitize · operationalize · index · score · rate · calibrate · assess
Impart skills or knowledge
- instructConvey knowledge or orders
- curriculumEducational program's content plan
- pedagogyArt of instruction
- numeracyAbility with figures
drill · problem-solving · reasoning · logic · proof · derivation · exercise · worksheet
formalize
Make official or systematic
- systematizeArrange into ordered structure
- abstractCondensed version of text
- generalizeMake broadly applicable
theorize · codify · structure · symbolize · schematize · standardize · rationalize · quantify · notate · express
Platonism
Philosophy emphasizing ideal Forms
- rationalismReason as knowledge source
- reductionismExplaining wholes through parts
- determinismDoctrine of causal necessity
mechanism · scientism · positivism · formalism · structuralism · abstraction · idealization · universalize · essentialize · objectify
quantify
Express numerically
model · parameterize · digitize · operationalize · index · score · rate · calibrate · assess · evaluate
teach
Impart skills or knowledge
- instructConvey knowledge or orders
- curriculumEducational program's content plan
- pedagogyArt of instruction
numeracy · drill · problem-solving · reasoning · logic · proof · derivation · exercise · worksheet · textbook
mathematizeintuit
Know by instinct
verbalize · poeticize · narrate · feel out · philosophize
mathematizegeneralize
Make broadly applicable
obscure · muddle · approximate · fudge · hand-wave
mathematizeconcretize
Make abstract things tangible
particularize · exemplify · instantiate · ground · embody
- mathematics educationTeaching of numerical disciplines
- mathematical puzzlesChallenges solved through reasoning
- applied mathematicsProblem-solving through quantitative methods
- mathematical proofLogical demonstration of truth
- mathematical modelEquations describing system behavior
- mathematical symbolsCharacters denoting quantities and operations