“Teaching through problem-solving” is a commonly used phrase for mathematics educators. This book shows how to use worthwhile and interesting mathematics tasks and problems to build a classroom culture based on students’ reasoning and thinking. It develops a set of axioms about problem-solving classrooms to show teachers that mathematics is playful and engaging. It presents an aspirational vision for school mathematics, one which all teachers can bring into being in their classrooms.
Problem Solving for Teaching and Learning explores the importance of problem solving to learning in everyday personal and social contexts. This book is divided into four sections: Setting the scene; Conceptualising problem solving; Teachers’ knowledge and beliefs about problem solving; and Fostering students’ problem-solving capabilities, allowing readers to gain an insight into the various sub-topics that problem solving in learning and teaching introduce. Drawing together diverse perspectives on problem solving located in a variety of educational settings, this book explores problem solving theory, including its cognitive architecture, as well as attending to its translation into teaching and learning in a range of settings, such as education and social environments. This book also suggests how effective problem-solving activities can be incorporated more explicitly in learning and teaching and examines the benefits of this approach. The ideas developed in Problem Solving for Teaching and Learning will act as a catalyst for transforming practices in teaching, learning, and social engagement in formal and informal educational settings, making this book an essential read for education academics and students specialising in cognitive psychology, educational psychology, and problem solving.
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.
What is it that enables students to learn from some classroom activities, yet leaves them totally confused by others? Although we can't see directly into students' minds, we do have Cognitive Load Theory, and this is the next best thing. Built on the foundation of all learning, the human memory system, Cognitive Load Theory details the exact actions that teachers can take to maximise student outcomes.Written under the guidance, and thoroughly reviewed by the originator of CLT, John Sweller, this practical guide summarises over 30 years of research in this field into clear and easily understandable terms. This book features both a thorough discussion of the core principles of CLT and a wide array of classroom-ready strategies to apply it to art, music, history, chemistry, PE, mathematics, computer science, economics, biology, and more.
Provides instructional tools and methods to help teachers understand various problem solving strategies and discusses how to use each strategy with students.
Work with students at all levels to help them read novels Whole Novels is a practical, field-tested guide to implementing a student-centered literature program that promotes critical thinking and literary understanding through the study of novels with middle school students. Rather than using novels simply to teach basic literacy skills and comprehension strategies, Whole Novels approaches literature as art. The book is fully aligned with the Common Core ELA Standards and offers tips for implementing whole novels in various contexts, including suggestions for teachers interested in trying out small steps in their classrooms first. Includes a powerful method for teaching literature, writing, and critical thinking to middle school students Shows how to use the Whole Novels approach in conjunction with other programs Includes video clips of the author using the techniques in her own classroom This resource will help teachers work with students of varying abilities in reading whole novels.
This engaging book offers an in-depth introduction to teaching mathematics through problem-solving, providing lessons and techniques that can be used in classrooms for both primary and lower secondary grades. Based on the innovative and successful Japanese approaches of Teaching Through Problem-solving (TTP) and Collaborative Lesson Research (CLR), renowned mathematics education scholar Akihiko Takahashi demonstrates how these teaching methods can be successfully adapted in schools outside of Japan. TTP encourages students to try and solve a problem independently, rather than relying on the format of lectures and walkthroughs provided in classrooms across the world. Teaching Mathematics Through Problem-Solving gives educators the tools to restructure their lesson and curriculum design to make creative and adaptive problem-solving the main way students learn new procedures. Takahashi showcases TTP lessons for elementary and secondary classrooms, showing how teachers can create their own TTP lessons and units using techniques adapted from Japanese educators through CLR. Examples are discussed in relation to the Common Core State Standards, though the methods and lessons offered can be used in any country. Teaching Mathematics Through Problem-Solving offers an innovative new approach to teaching mathematics written by a leading expert in Japanese mathematics education, suitable for pre-service and in-service primary and secondary math educators.
Since teaching is a practical activity, efficient problem-solving skill is one of the fundamental competencies teachers need to possess. All teachers face challenging school situations during teaching-learning process no matter where they teach or since when. Despite similarities appearing on the surface, every school situation is unique and depends on several internal and external factors that should have been taken into account. Therefore, in many problematic cases it is not enough to deal with the symptoms, but teachers need to go deeper. This book provides a theoretical and practical background for this step-by-step problem solving-oriented thinking process. The practical activities can help teachers to frame and identify their challenges, to analyse the cause and effect of their situation, and also to find their own solutions and strategies. The material in this book can be used in pre-service or in-service teacher training that deal with pedagogic cases, or challenges of teaching and learning processes. However, most of the tools can also be used individually by teachers at any stage of their career, including any type of compulsory education, thanks to the clear description of each technique.
Selected as the Michigan Council of Teachers of Mathematics winter book club book! 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.
