Sentence examples for mathematical argumentation from inspiring English sources
Across Hoadley's work and Adler and Venkat's papers, we see patterns of working in which mathematics is often produced and proceeds in the absence of mathematical argumentation.
Notwithstanding these deep problems, virtually all normal mathematical argumentation is carried out in logical terms mostly in first-order terms, but with a generous sprinkling of second-order reasoning and various principles of set theory.
He formulated axioms and rules of inference, which allowed him to represent a remarkable range of mathematical argumentation.
Mathematical argumentation skills were conceptualized as consisting of an individual-mathematical and a social-discursive component.
In the 19th century there were several proposals for artificial languages in order to make mathematical argumentation more transparent, for instance by Frege and by Peano.
Heuristic worked examples and collaboration scripts were particularly effective in the facilitation of mathematical argumentation skills for teacher students with higher general learning prerequisites.
A challenging demand for mathematics teacher students is to produce acceptable scientific mathematical argumentations.
Resting in the back of most researchers' minds is the idea that at some point their calculations will be compared with experimental work and most papers feature in the end some comparison but the authors' time is spent almost exclusively on mathematical calculations and argumentation.
We present a formal, mathematical model of argument structure and evaluation, taking seriously the procedural and dialogical aspects of argumentation.
For detailed motivation, stringent argumentation and proofs to mathematical techniques presented in this section we refer to Harten et al. ([1976]) and LeVeque ([1991]).
Intellectuals are usually sensitive to this kind of argumentation, and frequently get frustrated by detailed mathematical equations based on more or less unrealistic assumptions.
