For example, THUNDER deployed to a school may be used in conjunction with a mathematics course, which would be associated with a virtual machine image containing mathematics software, such as Matlab or Maple.
When Carnap tries to specify a precise sense in which arithmetic is a "consequence" of a conventionally stipulated linguistic framework, the first incompleteness theorem forces him to employ a meta-language containing mathematics that goes beyond arithmetic (so as to ensure the bivalence of arithmetical truth).
But mastering a university course containing mathematics requires more than a talent for abstract thought and formalities; it needs a combination of general skills and attitudes such as self-organisation, perseverance and frustration tolerance, as well as subject-specific abilities and meta-level capacities (cf. Pintrich et al. 1993; Weinstein and Palmer 2002; Wild and Schiefele 1994).
For example, Quine accepts platonism because he takes it to be the scientifically sanctioned interpretation of mathematics: in his view, the mathematics contained in the best systematisation of science is platonic.
The results indicated that the multidimensional model of parental involvement in mathematics contained three components: parental beliefs and expectations, managerial involvement (i.e., parental instruction), and structural involvement (i.e., resources parents provide for children).
This study investigated the effects of using the CRA approach to teach middle school students in a self-contained mathematics class focused on functional-based mathematics to solve making change problems.
Oresme's main contributions to mathematics are contained in his Tractatus de configurationibus qualitatum et motuum ("Treatise on the Configurations of Qualities and Motions").
Oresme's main contributions to mathematics are contained in his Questiones super geometriam Euclidis and his Tractatus de configurationibus qualitatum et motuum.
The final linked data set for 4th-grade reading and mathematics results contained 8,603 and 8,627 observations, respectively.
Hence, if intuitionistic mathematics contains objects and principles that do not figure in classical mathematics, it may come about that intuitionistic logic, which then depends also on these non-classical elements, is no proper part of classical logic.
