Sentence examples for specialized mathematical from inspiring English sources

For example, Hill et al. (2005) found that teachers' pedagogical content knowledge, the specialized mathematical knowledge and skills used in teaching mathematics, were positively associated with gains in students' mathematical achievement over time.

They rely on very specialized mathematical assumptions.

According to previous mathematical results, Expert Systems can be quickly and easily implemented on specialized mathematical software ('Computer Algebra Systems').

The Maclaurin series solution can be derived without any specialized mathematical methods nor does it necessarily involve the computation of any transcendental function.

Two of these studies obtained series solutions using specialized mathematical methods, known as the Adomian decomposition method and the homotopy analysis method.

However, spreadsheet techniques are easier to learn than other specialized mathematical programs for nonlinear parameter estimation, because no programming skills are needed in spreadsheets to develop their own parameter estimation routines (Wraith and Or 1998).

In anticipation, Newton indicates how to reconcile this with scripture by observing that, if usage determines the meanings of words, then in ordinary discourse (including the Bible) the terms 'time'spaceace'placeand'motion'motion' are properly understood to signify the relative quantities; only in specialized and mathematical contexts do they denote the absolute quantities.

To untangle such a massive and uneven database, Kirchner used a specialized form of a mathematical technique called spectral analysis, which was developed by astrophysicists to make sense of the complex light signals received from distant stars.

A Problem Solving Environment (PSE) is a specialized computer application for solving mathematical or statistical problems, mostly with a graphical user interface [14].

Apart from the need to develop particular models for highly specialized biological and medical problems, mathematical biology helps to identify common patterns, e.g., to extract general principles from complex systems.

Mathematics education programs should support preservice elementary teachers' (PTs) learning of specialized content knowledge (SCK), which is a type of mathematical content knowledge specifically needed for teaching (Ball et al. 2008).