Learning Through Teaching Mathematics
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Teaching Mathematics in the Visible Learning Classroom, Grades 6-8
Select the right task, at the right time, for the right phase of learning 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 middle 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.
Learning by Teaching
This book provides an essential overview of "learning by teaching", unpacking the underpinning theory, research evidence and practical implications of peer learning in a variety of classroom contexts. It aims to offer practical guidance for practitioners in structuring effective peer learning – between professionals and between students alike. It locates this phenomenon in current conceptions of learning and teaching, far removed from traditional ideas of one-way transmission of knowledge. Exactly what happens to promote learning by teaching is explored. Examples of learning by teaching are discussed and it is noted that this happens in school, university and the workplace, as well as through the Internet. Learning by teaching within the student body is then explored, and many different methods described. The organizational features needed to improve learning by teaching consciously and deliberately are investigated. These can be before teaching, during teaching or after teaching. Evidence-based practical guidance is given. Of course teachers can deploy learning by teaching for themselves, but what if they also organize their students to teach each other, thereby giving many more opportunities to discuss, practise, explain and question? This takes pedagogical advantage of the differences between students – turning classrooms into communities of learners where students learn both from their teacher and from their peers.
Teaching Mathematics Creatively
This revised and updated third edition offers a range of strategies, activities and ideas to bring mathematics to life in the primary classroom. Taking an innovative and playful approach to maths teaching, this book promotes creativity as a key element of practice and offers ideas to help your students develop knowledge, understanding and enjoyment of the subject. In the creative classroom, mathematics becomes a tool to build confidence, develop problem solving skills and motivate children. The fresh approaches explored in this book include a range of activities such as storytelling, music and construction, elevating maths learning beyond subject knowledge itself to enable students to see mathematics in a new way. Key chapters of this book explore: • Learning maths outdoors - make more noise, make more mess or work on a larger scale • Everyday maths - making sense of the numbers, patterns, shapes and measures children see around them • Music and maths – the role of rhythm in learning, and music and pattern in maths Stimulating, accessible and underpinned by the latest research and theory, this is essential reading for trainee and practising teachers who wish to embed creative approaches to maths teaching in their classroom.