Diverse thinking-style preferences in a university course in mathematics

Critical thinking involves reflective and productive thinking and the evaluation of evidence. Critical thinkers seek to understand the deeper meaning of ideas, question assumptions, and make independent decisions about what to believe or do. Scientists, for instance, are often critical thinkers. Critical thinking also requires humility about what we know and don't know and the motivation to look beyond the obvious. It is essential for effective problem-solving.
Colleges and universities are...

Mathematical modeling transforms real-world scenarios into mathematical expressions, allowing for structured problem-solving and analysis. This process involves defining the situation, assigning variables to measurable quantities, selecting an appropriate model, and solving the resulting equation. Such models are invaluable in finance, providing precise methods to evaluate investments, loans, and repayment structures.A widely used example is the calculation of fixed monthly payments on a loan,...

Critical thinking is a cognitive process with several attributes. The attributes of critical thinking include the following:

Howard Gardner's theory of Multiple Intelligence proposes that there are nine distinct types of intelligence, each reflecting different ways of interacting with the world. Introduced in 1983 and expanded in subsequent years, Gardner's framework challenges the traditional notion of a single, generalized intelligence.

Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...

Critical thinking helps decision-making and allows nurses to recognize barriers to success and find solutions to possible issues. It helps to brainstorm and implement ideas to achieve goals. Critical thinking helps acknowledge and state workflow inefficiencies while improving management techniques. Nurses understand the value of critical thinking and look for fellow nurses with critical thinking skills to upgrade their professional standards. Critical thinking can advance a nurse's career with...