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The Mathematical Foundation of Multi-Space Learning Theory

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Release : 2024-03-12
Genre : Education
Kind : eBook
Book Rating : 803/5 ( reviews)

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Book Synopsis The Mathematical Foundation of Multi-Space Learning Theory by : Tai Wang

Download or read book The Mathematical Foundation of Multi-Space Learning Theory written by Tai Wang. This book was released on 2024-03-12. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the measurement of learning effectiveness and the optimization of knowledge retention by modeling the learning process and building the mathematical foundation of multi-space learning theory. Multi-space learning is defined in this book as a micro-process of human learning that can take place in more than one space, with the goal of effective learning and knowledge retention. This book models the learning process as a temporal sequence of concept learning, drawing on established principles and empirical evidence. It also introduces the matroid to strengthen the mathematical foundation of multi-space learning theory and applies the theory to vocabulary and mathematics learning, respectively. The results show that, for vocabulary learning, the method can be used to estimate the effectiveness of a single learning strategy, to detect the mutual interference that might exist between learning strategies, and to predict the optimal combination of strategies. In mathematical learning, it was found that timing is crucial in both first learning and second learning in scheduling optimization to maximize the intersection effective interval. The title will be of interest to researchers and students in a wide range of areas, including educational technology, learning sciences, mathematical applications, and mathematical psychology.

Learning Spaces

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Release : 2010-09-10
Genre : Mathematics
Kind : eBook
Book Rating : 393/5 ( reviews)

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Book Synopsis Learning Spaces by : Jean-Claude Falmagne

Download or read book Learning Spaces written by Jean-Claude Falmagne. This book was released on 2010-09-10. Available in PDF, EPUB and Kindle. Book excerpt: Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of knowledge spaces. The various structures are investigated from the standpoints of combinatorial properties and stochastic processes. Leaning spaces have become the essential structures to be used in assessing students' competence of various topics. A practical example is offered by ALEKS, a Web-based, artificially intelligent assessment and learning system in mathematics and other scholarly fields. At the heart of ALEKS is an artificial intelligence engine that assesses each student individually and continously. The book is of interest to mathematically oriented readers in education, computer science, engineering, and combinatorics at research and graduate levels. Numerous examples and exercises are included, together with an extensive bibliography.

Mathematical Combinatorics, Vol. 3/2014

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Kind : eBook
Book Rating : 080/5 ( reviews)

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Book Synopsis Mathematical Combinatorics, Vol. 3/2014 by : Linfan Mao

Download or read book Mathematical Combinatorics, Vol. 3/2014 written by Linfan Mao. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: Papers on Mathematics on Non-Mathematics: A Combinatorial Contribution, Fuzzy Cosets and Normal Subgroups and Smarandache Fuzzy Algebra, Smarandache radio mean number, Smarandache friendly index number, Non-Hamiltonian Cubic Planar 3-Connected Graphs, Smarandachely odd sequential labeling, Smarandachely near m-labeling, Smarandachely near m-mean graph, Smarandachely k-dominator coloring, semi-entire equitable dominating graph, etc.

International Journal of Mathematical Combinatorics, Volume 3, 2014

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Genre : Mathematics
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Book Rating : /5 ( reviews)

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Book Synopsis International Journal of Mathematical Combinatorics, Volume 3, 2014 by : Linfan Mao

Download or read book International Journal of Mathematical Combinatorics, Volume 3, 2014 written by Linfan Mao. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The International J. Mathematical Combinatorics is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly, which publishes original research papers and survey articles in all aspects of mathematical combinatorics, Smarandache multi-spaces, Smarandache geometries, non-Euclidean geometry, topology and their applications to other sciences..

MATHEMATICAL COMBINATORICS, Vol. 3 / 2018

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Genre : Mathematics
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Book Rating : 822/5 ( reviews)

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Book Synopsis MATHEMATICAL COMBINATORICS, Vol. 3 / 2018 by : Linfan Mao

Download or read book MATHEMATICAL COMBINATORICS, Vol. 3 / 2018 written by Linfan Mao. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt: The Mathematical Combinatorics (International Book Series) is a fully refereed international book series with ISBN number on each issue, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 110-160 pages approx. per volume, which publishes original research papers and survey articles in all aspects of Smarandache multi-spaces, Smarandache geometries, mathematical combinatorics, non-euclidean geometry and topology and their applications to other sciences.

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