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Higher-order thinking. Higher-order thinking, also known as higher order thinking skills (HOTS), [1] is a concept applied in relation to education reform and based on learning taxonomies (such as American psychologist Benjamin Bloom 's taxonomy). The idea is that some types of learning require more cognitive processing than others, but also ...
Bloom's taxonomy. Bloom's taxonomy is a framework for categorizing educational goals, developed by a committee of educators chaired by Benjamin Bloom in 1956. It was first introduced in the publication Taxonomy of Educational Objectives: The Classification of Educational Goals. The taxonomy divides learning objectives into three broad domains ...
Benjamin Bloom. Benjamin Samuel Bloom (February 21, 1913 – September 13, 1999) was an American educational psychologist who made contributions to the classification of educational objectives and to the theory of mastery learning. He is particularly noted for leading educational psychologists to develop the comprehensive system of describing ...
For example, the second-order equation y′′ = −y can be rewritten as two first-order equations: y′ = z and z′ = −y. In this section, we describe numerical methods for IVPs, and remark that boundary value problems (BVPs) require a different set of tools. In a BVP, one defines values, or components of the solution y at more than one ...
Diagram giving an overview of the SOLO Taxonomy approach. The structure of observed learning outcomes (SOLO) taxonomy is a model that describes levels of increasing complexity in students' understanding of subjects. It was proposed by John B. Biggs and Kevin F. Collis.
The order of the differential equation is the highest order of derivative of the unknown function that appears in the differential equation. For example, an equation containing only first-order derivatives is a first-order differential equation, an equation containing the second-order derivative is a second-order differential equation, and so on.
Cognitive Rigor is the superposition of Bloom's Taxonomy and Webb's Depth-of-Knowledge levels and is used to categorize the level of abstraction of questions and activities in education. The Cognitive Rigor Matrix assists applying Cognitive Rigor in the classroom. [ 1] These models are intended for use in curriculum development and lesson ...
e. In mathematics, an ordinary differential equation (ODE) is a differential equation (DE) dependent on only a single independent variable. As with other DE, its unknown (s) consists of one (or more) function (s) and involves the derivatives of those functions. [1] The term "ordinary" is used in contrast with partial differential equations ...