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Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals .
Groups of students undertaking project-based learning. Project-based learning is a teaching method that involves a dynamic classroom approach in which it is believed that students acquire a deeper knowledge through active exploration of real-world challenges and problems. [1]
Lecture Notes in Mathematics is a book series in the field of mathematics, including articles related to both research and teaching. It was established in 1964 and was edited by A. Dold, Heidelberg and B. Eckmann, Zürich. Its publisher is Springer Science+Business Media (formerly Springer-Verlag).
Whole-class—the teacher lectures to the class as a whole and has the class collectively participate in classroom discussions. Small groups—students work on assignments in groups of three or four. Workshops—students perform various tasks simultaneously. Workshop activities must be tailored to the lesson plan.
The constructionist teacher takes on a mediational role rather than adopting an instructional role. Teaching "at" students is replaced by assisting them to understand—and help one another to understand—problems in a hands-on way. [4] The teacher's role is not to be a lecturer but a facilitator who coaches students to attaining their own ...
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 ...
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