arithmeticians
Masters of calculation
Arithmeticians are people skilled in arithmetic—the branch of mathematics dealing with numbers and basic operations like addition, subtraction, multiplication, and division.
The term is old-fashioned; such specialists are now more likely called mathematicians or simply described as good with numbers: The accountants were careful arithmeticians.
Art of instruction
- blackboardSurface for chalk writing
- textbookAcademic subject manual
- homeworkStudent assignments for outside class
- tutorIndividual instruction provider
lecture · curriculum · drill · recitation · chalk · worksheet · word problems · times tables
Demonstrated logical conclusion
- proofDemonstration of truth
- conjectureGuess from limited facts
- axiomSelf-evident starting principle
- lemmaBase form, or helper theorem
corollary · postulate · proposition · hypothesis · prime numbers · number theory · combinatorics · sequences
Mathematical processing work
- equationMathematical equality assertion
- algorithmFinite problem-solving procedure
- sumAddition's result
- productManufactured item for sale
quotient · factorial · formula · mental math · abacus · slide rule · calculation · reckoning
Professional in abstract quantities
- actuaryFinancial risk analyst
- accountantFinancial records keeper
- statisticianProfessional interpreter of numbers
- bookkeeperFinancial records maintainer
surveyor · astronomer · navigator · cryptographer · codebreaker · Babbage · Lovelace · Napier
Conclusion from premises
- inductionFormal admission process
- reasoningDrawing logical conclusions
- inferenceConclusion reached through reasoning
- validityQuality of being sound
premise · syllogism · demonstration · rigor · abstraction · generalization · pattern recognition · problem-solving
pedagogy
Art of instruction
- blackboardSurface for chalk writing
- textbookAcademic subject manual
- homeworkStudent assignments for outside class
tutor · lecture · curriculum · drill · recitation · chalk · worksheet · word problems · times tables · flash cards
theorem
Demonstrated logical conclusion
- proofDemonstration of truth
- conjectureGuess from limited facts
- axiomSelf-evident starting principle
lemma · corollary · postulate · proposition · hypothesis · prime numbers · number theory · combinatorics · sequences · series
computation
Mathematical processing work
- equationMathematical equality assertion
- algorithmFinite problem-solving procedure
- sumAddition's result
product · quotient · factorial · formula · mental math · abacus · slide rule · calculation · reckoning · figuring
mathematician
Professional in abstract quantities
- actuaryFinancial risk analyst
- accountantFinancial records keeper
- statisticianProfessional interpreter of numbers
bookkeeper · surveyor · astronomer · navigator · cryptographer · codebreaker · Babbage · Lovelace · Napier · Pascal
deduction
Conclusion from premises
- inductionFormal admission process
- reasoningDrawing logical conclusions
- inferenceConclusion reached through reasoning
validity · premise · syllogism · demonstration · rigor · abstraction · generalization · pattern recognition · problem-solving · systematization
arithmeticiansrhetoricians
Experts in persuasive speech
poets · artists · mystics · humanists · grammarians