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Александр Васильевич Ястребов Обучение математике в вузе как модель научных исследований

Александр Васильевич Ястребов Обучение математике в вузе как модель научных исследований

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Teaching Mathematics as a Model of Scientific Research by Alexander Vasilyevich Yastrebov

This monograph presents a concept for teaching mathematics rooted in the idea that certain intrinsic properties of mathematics remain constant across fields, eras, and levels of study. The author argues for modeling these properties in the educational process to enhance learning. The book outlines principles for designing mathematics problem books and includes original collections of tasks built on these principles. It also proposes a model for preparing student groups for research activities and introduces a specialized language for fully and compactly describing this model. Additionally, the author recounts the process of inventing several mathematical theorems.

Intended for university mathematics instructors, graduate students, undergraduate and master’s-level mathematics students, and school teachers, the work holds particular relevance for educators and students in pedagogical universities. The monograph offers a structured approach to integrating research-like inquiry into mathematics education, emphasizing the transferable nature of mathematical thinking.

Note: This is an academic publication; all claims are based on the author’s stated framework.

Customer reviews

Alex Johnson ★★★★☆
The card is clear and well-structured, making it easy to understand the monograph's purpose and target audience. The description effectively highlights the key concepts without being overly technical. I appreciate the note about it being an academic publication, which sets proper expectations.