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In classical real analysis, one way to define a real number is as an equivalence class of Cauchy sequences of rational numbers.. In constructive mathematics, one way to construct a real number is as a function ƒ that takes a positive integer and outputs a rational ƒ(n), together with a function g that takes a positive integer n and outputs a positive integer g(n) such that
Students contribute to the collective building of knowledge. · Constructive use of authoritative sources. All participants, including teachers, stand the call as a natural approach to support their understanding. · The conversation of building knowledge. Students are engaged in conversation to share and improve the advancement of knowledge in ...
Experimentation: Students individually perform an experiment and then come together as a class to discuss the results. Research projects: Students research a topic and can present their findings to the class. Field trips: This allows students to put the concepts and ideas discussed in class in a real-world context. Field trips would often be ...
They claim students learn to discern similarities and differences in the mathematics, and also that "through such rich mathematics classroom discourse, students develop and consolidate their understanding of the learning goal of the lesson in terms of making connections to prior knowledge and experiences and making generalizations". [3 ...
Constructive alignment is the underpinning concept behind the current requirements for programme specification, declarations of learning outcomes (LOs) and assessment criteria, and the use of criterion based assessment. There are two basic concepts behind constructive alignment: Learners construct meaning from what they do to learn.
Constructionism advocates student-centered, discovery learning where students use what they already know to acquire more knowledge. [1] Students learn through participation in project-based learning where they make connections between different ideas and areas of knowledge facilitated by the teacher through coaching rather than using lectures ...
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