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"Despite experiencing our teaching in different times, we are both oriented to traditional math teaching. It wasn't because we were both taught that way, as some may believe, but because that method worked for us and we have seen it work for our students. It is efficient, effective, non-confusing and helped our students develop mathematical reasoning, understanding, and confidence. Most importantly it helped them to be successful." So begins the book on traditional math, which provides a glimpse of what explicit instruction looks like in the classroom for grades K through 8. Barry Garelick and J.R. Wilson are retired math teachers who describe the methods of traditionally taught math that they used in their teaching. Their descriptions serve two purposes: 1) It provides assurance to teachers who may already practice these methods that they are not alone, and 2) For others, it may provide some new ideas.
“Tell the administration what they want to hear, then do what is best for your students.” That’s advice Barry Garelick tries to follow in the process of becoming a fully credentialed teacher which entails being monitored by two mentors. As the Mark Twain of education writing, Garelick presents this collection of essays which chronicle his experiences at two schools, teaching math. With essays such as, “Not Making Sense, and a Conversation I Never Had; “Math Talk”, Stalin’s Hemorrhoids and Murder of Crows”, Garelick gives the reader a verité-style glimpse into the daily routines of math teaching and exposes a lot of the nonsense that teachers are advised to follow, and which they feel guilty about when they don’t.
In this controversial new book, Daisy Christodoulou offers a thought-provoking critique of educational orthodoxy. Drawing on her recent experience of teaching in challenging schools, she shows through a wide range of examples and case studies just how much classroom practice contradicts basic scientific principles. She examines seven widely-held beliefs which are holding back pupils and teachers: Facts prevent understanding Teacher-led instruction is passive The 21st century fundamentally changes everything You can always just look it up We should teach transferable skills Projects and activities are the best way to learn Teaching knowledge is indoctrination In each accessible and engaging chapter, Christodoulou sets out the theory of each myth, considers its practical implications and shows the worrying prevalence of such practice. Then, she explains exactly why it is a myth, with reference to the principles of modern cognitive science. She builds a powerful case explaining how governments and educational organisations around the world have let down teachers and pupils by promoting and even mandating evidence-less theory and bad practice. This blisteringly incisive and urgent text is essential reading for all teachers, teacher training students, policy makers, head teachers, researchers and academics around the world.
A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.
In this 2nd edition of Focus: Elevating the Essentials to Radically Improve Student Learning, Mike Schmoker extends and updates the case that our schools could be on the cusp of swift, unparalleled improvements. But we are stymied by a systemwide failure to simplify and prioritize; we have yet to focus our limited time and energy on the most essential, widely acknowledged, evidence-based practices that could have more impact than all other initiatives combined. They are: simple, coherent curricula; straightforward, traditional literacy practices; and lessons built around just a few hugely effective elements of good teaching. As Schmoker demonstrates, the case for these practices—and the need for them—has grown prodigiously. In every chapter, you’ll find late-breaking discoveries and practical advice on how to simplify the implementation of new state standards in the subject areas; on the hidden pitfalls of our most popular, but unproven instructional fads and programs; and on simple, versatile strategies for building curriculum, planning lessons, and integrating literacy into every discipline. All of these strategies and findings are supported with exciting new evidence from actual schools. Their success confirms, as Michael Fullan writes, that a focus on the best "high-leverage practices" won’t only improve student performance; they will produce "stunningly powerful consequences" in our schools.
"A multimedia professional learning resource"--Cover.
The aim of this volume is to explain the differences between research-level mathematics and the maths taught at school. Most differences are philosophical and the first few chapters are about general aspects of mathematical thought.
Too often, students who fail a grade or a course receive remediation that ends up widening rather than closing achievement gaps. According to veteran classroom teacher and educational consultant Suzy Pepper Rollins, the true answer to supporting struggling students lies in acceleration. In Learning in the Fast Lane, she lays out a plan of action that teachers can use to immediately move underperforming students in the right direction and differentiate instruction for all learners—even those who excel academically. This essential guide identifies eight high-impact, research-based instructional approaches that will help you * Make standards and learning goals explicit to students. * Increase students' vocabulary—a key to their academic success. * Build students' motivation and self-efficacy so that they become active, optimistic participants in class. * Provide rich, timely feedback that enables students to improve when it counts. * Address skill and knowledge gaps within the context of new learning. Students deserve no less than the most effective strategies available. These hands-on, ready-to-implement practices will enable you to provide all students with compelling, rigorous, and engaging learning experiences.
How do you get a fourth-grader excited about history? How do you even begin to persuade high school students that mathematical functions are relevant to their everyday lives? In this volume, practical questions that confront every classroom teacher are addressed using the latest exciting research on cognition, teaching, and learning. How Students Learn: History, Mathematics, and Science in the Classroom builds on the discoveries detailed in the bestselling How People Learn. Now, these findings are presented in a way that teachers can use immediately, to revitalize their work in the classroom for even greater effectiveness. Organized for utility, the book explores how the principles of learning can be applied in teaching history, science, and math topics at three levels: elementary, middle, and high school. Leading educators explain in detail how they developed successful curricula and teaching approaches, presenting strategies that serve as models for curriculum development and classroom instruction. Their recounting of personal teaching experiences lends strength and warmth to this volume. The book explores the importance of balancing students' knowledge of historical fact against their understanding of concepts, such as change and cause, and their skills in assessing historical accounts. It discusses how to build straightforward science experiments into true understanding of scientific principles. And it shows how to overcome the difficulties in teaching math to generate real insight and reasoning in math students. It also features illustrated suggestions for classroom activities. How Students Learn offers a highly useful blend of principle and practice. It will be important not only to teachers, administrators, curriculum designers, and teacher educators, but also to parents and the larger community concerned about children's education.