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This fourth volume in the Deep Learning Manual series builds upon the previous volumes by presenting a well-defined, concrete proposal for addressing the current crisis in mathematics education. The approach presented is based on solid research in cognitive neuroscience, systems theory, and self-directed learning. Most importantly, it provides a roadmap for starting with the individual student and scaling up to the school, district, state, and national levels. Building upon decades of direct experience across a wide diversity of educational settings, including educational institutions serving Native American, minority, socio-economically disadvantaged, and neurologically disadvantaged students, the author addresses head-on the challenges that are often present when attempting to effect positive change within a deeply-entrenched institutional system. The proposed approach is based on empirical evidence presented in the previous volumes, in which dramatic transformations have occurred within these types of institutions. Best of all, the methods presented have been successfully implemented in both online and hybrid learning environments. Given the current turmoil created by a sudden move to virtual classrooms, the timing for the release of this manual could not be better. In terms of the overall impact on future workforce capacity for innovation and discovery in a complex, fast-changing world, the potential return on investment for a relatively small national investment is immeasurable.
This latest volume in the Deep Learning Manual series presents an architecture and roadmap for implementing, on a nationwide basis, a deep learning-based education platform. The proposed platform combines adaptive learning software and behavioral neuroscience in a unique and powerful way. The author's motivation for this approach comes from decades of observing classroom behaviors that limit rather than advance our individual and collective capacity for self-discovery. Many of these behaviors reinforce longstanding inequalities. Education need not be difficult in our current age, regardless of a person's socio-economic background. Much of the basis for students' struggles, especially in college-level mathematics, is the over-emphasis on rote memorization at the expense of understanding the topics in ways that make sense to the individual student. For this reason, sense-making tools and practices form a key aspect of the proposed platform. Prueitt's approach is based on the premise of having a "sense of location" as a student navigates a "knowledge space" of topics, moving from those that are "comfortable" to those that are "uncomfortable." This book paints both a vision and a roadmap to the future, where first principles of science and mathematics are communicated through a "learning medium" that builds upon traditional books and research publications. The goal is to create a national and even global network of knowledge media that improves an average citizen's capacity for lifelong learning. Design Principles is richly illustrated with anonymized images of real handwritten narratives from freshman college mathematics students who have gone from struggling with and disdain toward the subject to feeling knowledgeable and empowered to apply the learned principles in future classes, work, and life.
In this second in a series of Deep Learning Manuals, Dr. Paul Stephen Prueitt delivers an easy to read, step-by-step guide for applying deep learning methods to foundational topics in Liberal Arts Mathematics for college freshmen. It is the culmination of over thirty years of knowledge science-based research and field testing in classrooms across the US.According to a recent survey of college freshman in classes in which these methods were used, on average, over 88% of students whose experiences in previous mathematics courses were not positive indicated improved understanding beyond their original expectations after using the principles in this manual.This has nothing to do with so-called "new math" or similar fads. Rather, it's a series of evolutionary steps toward creating a rich learning environment based on guided mentoring, self-discovery, and peer-oriented discussion in small groups using social media. As such, it is useful for both students and educators alike.Although originally intended for use in a "Second School" learning environment, readers not registered in a Second School class can still use this manual to start experiencing this new style of learning.The chapters are short, focusing on one foundational principle of mathematics at a time. You'll find that most of your time using this manual will be spent thinking, with less time reading - the complete opposite of how most classes are taught.The "thinking" periods are short, lasting about ten minutes. Think. Write. Reflect on what you've written. Take a break and do something totally different. Then come back to the topic, looking at it from a slightly different perspective. Repeat the process, as you continue to learn and grow.Deep learning is a gift that just doesn't last a lifetime. The more you use it, the more you'll realize that there's no limit to what you can discover. Best of all, it's not like cramming your head full of facts, dates, names, places, and the like. It's real, experiential knowledge you can feel deep in your bones - in your very being.Give the exercises a try and experience the benefits of deep learning for yourself. You won't be disappointed.
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