The Math Academy Way Using The Power Of Science To Supercharge Student Learning
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The Math Academy Way: Using the Power of Science to Supercharge Student Learning
This book is a working draft, updated November 2024. Math Academy is solving Bloom’s two-sigma problem by bringing together many evidence-based cognitive learning strategies into a single online learning platform. Our adaptive, fully-automated platform emulates the decisions of an expert tutor to provide the most effective way to learn math. This working draft describes how it's done. This draft has been put to print at the request of readers who would like a physical copy of the current version. It will be continually updated in the future. The price is as low as possible, and a digital copy is freely available online at https://justinmath.com/books/#the-math-academy-way CONTENTS 1. Preliminaries - The Two-Sigma Solution; The Science of Learning; Core Science: How the Brain Works; Core Technology: the Knowledge Graph; The Importance of Accountability and Incentives. 2. Addressing Critical Misconceptions - The Persistence of Neuromyths; Myths & Realities about Individual Differences; Myths & Realities about Effective Practice; Myths & Realities about Mathematical Acceleration. 3. Cognitive Learning Strategies - Active Learning; Deliberate Practice; Mastery Learning; Minimizing Cognitive Load; Developing Automaticity; Layering; Non-Interference; Spaced Repetition (Distributed Practice); Interleaving (Mixed Practice); The Testing Effect (Retrieval Practice); Targeted Remediation; Gamification; Leveraging Cognitive Learning Strategies Requires Technology. 4. Coaching - In-Task Coaching; Parental Support. 5. Technical Deep Dives - Technical Deep Dive on Spaced Repetition; Technical Deep Dive on Diagnostic Exams; Technical Deep Dive on Learning Efficiency; Technical Deep Dive on Prioritizing Core Topics. 6. Frequently Asked Questions - The Practice Experience; Student Behavior; XP and Practice Schedules; Diagnostics and Curriculum; Miscellaneous.
Collaborating to Support All Learners in Mathematics and Science
Author: Faye Brownlie
language: en
Publisher: Portage & Main Press
Release Date: 2011-06-23
In this second volume of It’s All About Thinking, the authors focus their expertise on the disciplines of mathematics and science, translating principles into practices that help other educators with their students. How can we help students develop the thinking skills they need to become successful learners? How does this relate to deep learning of important concepts in mathematics and science? How can we engage and support diverse learners in inclusive classrooms where they develop understanding and thinking skills? In this book, Faye, Leyton and Carole explore these questions and offer classroom examples to help busy teachers develop communities where all students learn. This book is written by three experienced educators who offer a welcoming and “can-do” approach to the big ideas in math and science education today. In this book you will find: insightful ways to teach diverse learners (Information circles, open-ended strategies, inquiry, manipulatives and models) lessons crafted using curriculum design frameworks (udl and backwards design) assessment for, as, and of learning fully fleshed-out lessons and lesson sequences inductive teaching to help students develop deep learning and thinking skills in Math and Science assessment tools (and student samples) for concepts drawn from learning outcomes in Math and Science curricula excellent examples of theory and practice made accessible real school examples of collaboration — teachers working together to create better learning opportunities for their students.
Visible Learning for Mathematics, Grades K-12
Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school. That’s a high bar, but with the amazing K-12 framework here, you choose the right approach at the right time, depending upon where learners are within three phases of learning: surface, deep, and transfer. This results in “visible” learning because the effect is tangible. The framework is forged out of current research in mathematics combined with John Hattie’s synthesis of more than 15 years of education research involving 300 million students. Chapter by chapter, and equipped with video clips, planning tools, rubrics, and templates, you get the inside track on which instructional strategies to use at each phase of the learning cycle: Surface learning phase: When—through carefully constructed experiences—students explore new concepts and make connections to procedural skills and vocabulary that give shape to developing conceptual understandings. Deep learning phase: When—through the solving of rich high-cognitive tasks and rigorous discussion—students make connections among conceptual ideas, form mathematical generalizations, and apply and practice procedural skills with fluency. Transfer phase: When students can independently think through more complex mathematics, and can plan, investigate, and elaborate as they apply what they know to new mathematical situations. To equip students for higher-level mathematics learning, we have to be clear about where students are, where they need to go, and what it looks like when they get there. Visible Learning for Math brings about powerful, precision teaching for K-12 through intentionally designed guided, collaborative, and independent learning.