Other than single technique analysis packages, c5++ also provides state-of-the-art modules for a variety of geodetic, mathematical and geophysical tasks that can be combined to a stand-alone VLBI application.
We started the fourth TSCD-PD session by introducing participants to the key idea behind the mathematical task framework that tasks can change in their level of cognitive demand as they pass from written materials to how they are set up by the teacher in the classroom to how they are actually enacted or carried out by the students.
Thus, to investigate numerical representation we utilized tasks that engage numerical, rather than mathematical, skills, as mathematical measures may be affected by a multitude of these non-numerical factors.
Most often, quantitative literacy is assessed with a focus solely on mathematical and statistical content knowledge using tasks that contextualize the mathematics in real-world or problem-based situations (e.g., TIMSS [see Orpwood and Garden 1998; Mullis et al. 1998], and Programme for International Student Assessment [PISA, Organisation for Economic Cooperation and Development OECD 2000]).
According to the NCTM [18], effective teaching of mathematics happens when a teacher implements exercises that will engage students in solving and discussing tasks that promote mathematical reasoning and problem solving.
As these researchers suggested, consistent and explicit use of the definition of multiplication can support the development of teachers' proficiency with quantitative reasoning, which may further provide a basis for PTs to unpack mathematical tasks in ways that prompt students' mathematical reasoning and explanations.
Interestingly, the tasks that have been contrasted most often with numerical fact retrieval (difficult calculations of untrained or difficult mathematical problems) deactivate AG (100% of cases).
It is best described in Moravec's paradox: why is it that computers are very good at undertaking tasks that require speed and precision, and which humans find difficult (such as solving mathematical equations, playing chess, or even driving cars), and yet bad at tasks we humans find simple, such as clearing coffee cups from a table?
The reason is that the tasks that need to be handled again are similar in nature: applying relatively simple mathematical operations to lots of data points in parallel.
