Challenging Mathematical Tasks
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Challenging Mathematical Tasks
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Author : Peter Sullivan
language : en
Publisher:
Release Date : 2017-08-29
Challenging Mathematical Tasks written by Peter Sullivan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-29 with Critical thinking categories.
Challenging Mathematical Tasks supports the idea that students learn best when they work on problems that they do not yet know how to solve. Peter Sullivan's research shows that many students do not fear challenges in mathematics, but welcome them. And rather than having teachers instruct them, these students prefer to work out solutions for themselves.Challenging Mathematical Tasks:includes activities that allow for sustained thinking, decision-making and risk-taking by the studentsfeatures a 'Learning Focus', 'Key Mathematical Language', 'Pedagogical Considerations', 'Enabling and Extending Prompts' for each task, plus 'Supplementary Tasks' and 'Possible Solutions'is written by a well-established expert in the field of teaching and learning mathematicsfollows a set structure to help students approach and work through the tasks.For a preview, see the Sample Pages tab.
Open Middle Math
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Author : Robert Kaplinsky
language : en
Publisher: Taylor & Francis
Release Date : 2023-10-10
Open Middle Math written by Robert Kaplinsky and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-10 with Education categories.
This book is an amazing resource for teachers who are struggling to help students develop both procedural fluency and conceptual understanding.. --Dr. Margaret (Peg) Smith, co-author of5 Practices for Orchestrating Productive Mathematical Discussions Robert Kaplinsky, the co-creator of Open Middle math problems, brings hisnew class of tasks designed to stimulate deeper thinking and lively discussion among middle and high school students in Open Middle Math: Problems That Unlock Student Thinking, Grades 6-12. The problems are characterized by a closed beginning,- meaning all students start with the same initial problem, and a closed end,- meaning there is only one correct or optimal answer. The key is that the middle is open- in the sense that there are multiple ways to approach and ultimately solve the problem. These tasks have proven enormously popular with teachers looking to assess and deepen student understanding, build student stamina, and energize their classrooms. Professional Learning Resource for Teachers: Open Middle Math is an indispensable resource for educators interested in teaching student-centered mathematics in middle and high schools consistent with the national and state standards. Sample Problems at Each Grade: The book demonstrates the Open Middle concept with sample problems ranging from dividing fractions at 6th grade to algebra, trigonometry, and calculus. Teaching Tips for Student-Centered Math Classrooms: Kaplinsky shares guidance on choosing problems, designing your own math problems, and teaching for multiple purposes, including formative assessment, identifying misconceptions, procedural fluency, and conceptual understanding. Adaptable and Accessible Math: The tasks can be solved using various strategies at different levels of sophistication, which means all students can access the problems and participate in the conversation. Open Middle Math will help math teachers transform the 6th -12th grade classroom into an environment focused on problem solving, student dialogue, and critical thinking.
Open Ended Maths Activities
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Author : Peter Sullivan
language : en
Publisher:
Release Date : 2004
Open Ended Maths Activities written by Peter Sullivan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Open-ended Maths Activities Second Edition is the revised and expanded edition of the best-selling title by Peter Sullivan and Pat Lilburn. It discusses a type of open-ended, problem-solving question called a 'good' question. These questions enhance learning, teaching and assessment and are a useful addition to a teacher's strategies. It includes: practical advice on how to create your own 'good' questions to use within the classroom organised by subject area and levels (upper, middle and junior) the sixteen topics covered are included within Number, Measurement, Space and Chance and Data.
Teaching With Tasks For Effective Mathematics Learning
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Author : Peter Sullivan
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-12
Teaching With Tasks For Effective Mathematics Learning written by Peter Sullivan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-12 with Education categories.
This book is about how teachers can use classroom mathematics tasks to support student learning, and presents data on the ways in which teachers used those tasks in a particular research project. It is the product of research findings focusing on teacher practice, teacher learning and knowledge, and student learning. It demonstrates how teachers can use mathematics tasks to promote effective student learning.
Mathematics Problem Solving Challenges For Secondary School Students And Beyond
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Author : Alan Sultan
language : en
Publisher: World Scientific
Release Date : 2016-02-25
Mathematics Problem Solving Challenges For Secondary School Students And Beyond written by Alan Sultan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-02-25 with Mathematics categories.
This book is a rare resource consisting of problems and solutions similar to those seen in mathematics contests from around the world. It is an excellent training resource for high school students who plan to participate in mathematics contests, and a wonderful collection of problems that can be used by teachers who wish to offer their advanced students some challenging nontraditional problems to work on to build their problem solving skills. It is also an excellent source of problems for the mathematical hobbyist who enjoys solving problems on various levels.Problems are organized by topic and level of difficulty and are cross-referenced by type, making finding many problems of a similar genre easy. An appendix with the mathematical formulas needed to solve the problems has been included for the reader's convenience. We expect that this book will expand the mathematical knowledge and help sharpen the skills of students in high schools, universities and beyond.
Leading Improvement In Mathematics Teaching And Learning
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Author : Peter Sullivan
language : en
Publisher: ACER Press
Release Date : 2020-06-01
Leading Improvement In Mathematics Teaching And Learning written by Peter Sullivan and has been published by ACER Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-01 with Education categories.
School leaders have ready access to assessment data, motivating efforts to improve the numeracy outcomes of their students, but it can be difficult for principals to decide how to achieve these goals within their school's existing strategic plans and policies. Emeritus Professor Peter Sullivan brings his decades of experience and research in mathematics teaching and education to a carefully curated selection of proven practices and effective approaches that will help school leaders empower teachers and achieve improved numeracy outcomes for their students. With links to the OECD's Future of Education and Skills 2030 framework and the Victorian Education Department's high impact teaching strategies, the book gives school leaders insights into professional learning opportunities and high-impact practices that can align improvement visions and goals with effective classroom approaches. Quality learning experiences, lesson structure, learning sequences, classroom culture, collaborative planning and effective teaching are addressed in ways that will help school leaders improve not only students' numeracy and mathematics outcomes, but also their critical and creative thinking skills, enabling classroom learning to be transferred to real-life contexts. Leading Improvements in Mathematics Teaching and Learning provides a framework for a set of high-impact strategies that individually and together can be the focus of teacher professional learning, school improvement and student numeracy achievement.
Implementing Standards Based Mathematics Instruction
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Author : Mary Kay Stein
language : en
Publisher: Teachers College Press
Release Date : 2000
Implementing Standards Based Mathematics Instruction written by Mary Kay Stein and has been published by Teachers College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Education categories.
Presents prevalent cases of maths instruction drawn from research of classroom lessons. The "Mathematical Tasks Framework", developed by the authors, offers teachers the means to evaluate instructional decisions, choice of materials and learning outcomes.
Mathematical Challenges For All
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Author : Roza Leikin
language : en
Publisher: Springer Nature
Release Date : 2023-03-17
Mathematical Challenges For All written by Roza Leikin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-17 with Education categories.
This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students’ mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students’ mathematical potential, quality mathematical instruction results from matching the level of mathematical challenge to different students’ potential. Thus, effective integration of mathematical challenge in the instructional process is strongly connected to the equity principle of mathematics education. In the three sections in this volume readers can find diverse views on mathematical challenges in curriculum and instructional design, kinds and variation of mathematically challenging tasks and collections of mathematical problems. Evidence-based analysis is interwoven with theoretical positions expressed by the authors of the chapters. Cognitive, social and affective characteristics of challenging mathematical activities are observed and analyzed. The volume opens new avenues of research in mathematics education, and pose multiple questions about mathematical instruction rich in mathematical challenge for all. The authors invite readers to explore and enjoy mathematical challenges at different levels.
Five Practices For Orchestrating Productive Mathematics Discussions
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Author : Margaret Schwan Smith
language : en
Publisher:
Release Date : 2011
Five Practices For Orchestrating Productive Mathematics Discussions written by Margaret Schwan Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Communication in mathematics categories.
Describes five practices for productive mathematics discussions, including anticipating, monitoring, selecting, sequencing, and connecting.