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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]
The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
The second step, called the "internal transposition" (transposition interne) is about how the knowledge to teach is transformed into "taught knowledge" (savoir enseigné), which is the knowledge actually taught through the day-to-day concrete practices of a teacher in a teaching context, e.g. in a classroom, and which depends on their students ...
This page will attempt to list examples in mathematics. To qualify for inclusion, an article should be about a mathematical object with a fair amount of concreteness. Usually a definition of an abstract concept, a theorem, or a proof would not be an "example" as the term should be understood here (an elegant proof of an isolated but particularly striking fact, as opposed to a proof of a ...
The role of the teacher as the leader of the classroom is a very important tenet of Educational essentialism. The teacher is the center of the classroom, so they should be rigid and disciplinary. Establishing order in the classroom is crucial for student learning; effective teaching cannot take place in a loud and disorganized environment.
For example, three green triangles make a red trapezoid; two red trapezoids make up a yellow hexagon; a blue rhombus is made up of two green triangles; three blue rhombi make a yellow hexagon, etc. Playing with the shapes in these ways help children develop a spatial understanding of how shapes are composed and decomposed, an essential ...
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