The mathematical foundation of multi-space learning theory / Tai Wang and Mengsiying Li.

Introduction on multi-space learning -- Partition spaces to optimize learning effectiveness -- Matroid theory -- Current foundations of learning sciences -- Applications in vocabulary learning -- Applications in math learning.

"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. The 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 not only to estimate the effectiveness of a single learning strategy, to detect the mutual interference that might exist between learning strategies, but also to predict the optimal combination of strategies. In mathematical learning, it is found that timing is crucial in both first 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"-- Provided by publisher.