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It could happen in the morning during homework review. Or perhaps it happens when listening to students as they struggle through a challenging problem. Or maybe even after class, when planning a lesson. At some point, the question arises: How do I influence students' learning-what's going to generate that light bulb "aha" moment of understanding? In this sequel to the megawatt best seller Visible Learning for Mathematics, John Almarode, Douglas Fisher, Nancy Frey, John Hattie, and Kateri Thunder help you answer that question by showing how Visible Learning strategies look in action in the mathematics classroom. Walk in the shoes of elementary school teachers as they engage in the 200 micro-decisions-per-minute needed to balance the strategies, tasks, and assessments seminal to high-impact mathematics instruction. Using grade-leveled examples and a decision-making matrix, you'll learn to Articulate clear learning intentions and success criteria at surface, deep, and transfer levels Employ evidence to guide students along the path of becoming metacognitive and self-directed mathematics achievers Use formative assessments to track what students understand, what they don't, and why Select the right task for the conceptual, procedural, or application emphasis you want, ensuring the task is for the right phase of learning Adjust the difficulty and complexity of any task to meet the needs of all learners It's not only what works, but when. Exemplary lessons, video clips, and online resources help you leverage the most effective teaching practices at the most effective time to meet the surface, deep, and transfer learning needs of every student.
In this book, John Hattie, Doug Fisher, Nancy Frey, team up with mathematics experts Linda M. Gojak, Sara Delano Moore, and William Mellman to walk teachers through the key research-based moves they should focus on in their mathematics classrooms - those with the highest effect sizes in the phases of surface, deep, and transfer learning. In accessible, every-day language, they offer their best guidance to teachers on what surface, deep, and transfer learning mean, look, and sound like in the mathematics context. How to ensure teacher clarity through setting meaningful learning intentions and success criteria that build on prior learning, and by continually checking for understanding.
In high-impact mathematics instruction, it's not only what works, but when. This hands-on sequel to Visible Learning for Mathematics puts visible learning strategies in action using grade-leveled examples and a decision-making matrix.
Help students reveal the math behind the words "I don't get what I'm supposed to do!" This is a common refrain from students when asked to solve word problems. Solving problems is about more than computation. Students must understand the mathematics of a situation to know what computation will lead to an appropriate solution. Many students often pluck numbers from the problem and plug them into an equation using the first operation they can think of (or the last one they practiced). Students also tend to choose an operation by solely relying on key words that they believe will help them arrive at an answer, without careful consideration of what the problem is actually asking of them. Mathematize It! Going Beyond Key Words to Make Sense of Word Problems, Grades 6-8 shares a reasoning approach that helps students dig into the problem to uncover the underlying mathematics, deeply consider the problem's context, and employ strong operation sense to solve it. Through the process of mathematizing, the authors provide an explanation of a consistent method-and specific instructional strategies-to take the initial focus off specific numbers and computations and put it on the actions and relationships expressed in the problem. Sure to enhance teachers' own operation sense, this user-friendly resource for Grades 6-8: * Offers a systematic mathematizing process for students to use when solving word problems * Gives practice opportunities and dozens of problems to leverage in the classroom * Provides specific examples of questions and explorations for multiplication and division, fractions and decimals, as well as operations with rational numbers * Demonstrates the use of visual representations to model problems with dozens of short videos * Includes end-of-chapter activities and reflection questions How can you help your students understand what is happening mathematically when solving word problems? Mathematize it!
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