Open Ended Maths Investigations 5 7 Year Olds
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| Author | : Robert Kaplinsky |
| Publisher | : Taylor & Francis |
| Total Pages | : 193 |
| Release | : 2023-10-10 |
| Genre | : Education |
| ISBN | : 1003839886 |
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.
| Author | : Peter Sullivan |
| Publisher | : |
| Total Pages | : 112 |
| Release | : 2004 |
| Genre | : Mathematics |
| ISBN | : 9780195517682 |
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.
| Author | : Paul Swan |
| Publisher | : R.I.C. Publications |
| Total Pages | : 89 |
| Release | : 2002 |
| Genre | : Mathematical recreations |
| ISBN | : 1863118160 |
Maths investigations : middle + upper primary : RIC-0094.
| Author | : Liping Ma |
| Publisher | : Routledge |
| Total Pages | : 290 |
| Release | : 2010-03-26 |
| Genre | : Education |
| ISBN | : 1135149496 |
Studies of teachers in the U.S. often document insufficient subject matter knowledge in mathematics. Yet, these studies give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education. Knowing and Teaching Elementary Mathematics describes the nature and development of the knowledge that elementary teachers need to become accomplished mathematics teachers, and suggests why such knowledge seems more common in China than in the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts. The anniversary edition of this bestselling volume includes the original studies that compare U.S and Chinese elementary school teachers’ mathematical understanding and offers a powerful framework for grasping the mathematical content necessary to understand and develop the thinking of school children. Highlighting notable changes in the field and the author’s work, this new edition includes an updated preface, introduction, and key journal articles that frame and contextualize this seminal work.
| Author | : Ruth Merttens |
| Publisher | : Routledge |
| Total Pages | : 204 |
| Release | : 2002-09-11 |
| Genre | : Education |
| ISBN | : 1135427720 |
First published in 1990. Routledge is an imprint of Taylor & Francis, an informa company.
| Author | : Aleksandr K. Zvonkin |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 321 |
| Release | : 2011 |
| Genre | : Education |
| ISBN | : 082186873X |
This book is a captivating account of a professional mathematician's experiences conducting a math circle for preschoolers in his apartment in Moscow in the 1980s. As anyone who has taught or raised young children knows, mathematical education for little kids is a real mystery. What are they capable of? What should they learn first? How hard should they work? Should they even "work" at all? Should we push them, or just let them be? There are no correct answers to these questions, and the author deals with them in classic math-circle style: he doesn't ask and then answer a question, but shows us a problem--be it mathematical or pedagogical--and describes to us what happened. His book is a narrative about what he did, what he tried, what worked, what failed, but most important, what the kids experienced. This book does not purport to show you how to create precocious high achievers. It is just one person's story about things he tried with a half-dozen young children. Mathematicians, psychologists, educators, parents, and everybody interested in the intellectual development in young children will find this book to be an invaluable, inspiring resource. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).
| Author | : Catherine Knowles |
| Publisher | : Routledge |
| Total Pages | : 497 |
| Release | : 2009 |
| Genre | : Early childhood education |
| ISBN | : 1317864891 |
Developing Professional Practice 0 to 7 provides a thoroughly comprehensive and cutting edge guide to developing the understanding and practical skills necessary for working within early years education. Chapter content is directly linked to the early years professional standards and pedagogical features are incorporated throughout the book to guide the student. Chapter objectives at the start of each chapter clearly set out the learning goals for that chapter Reflect and relate to practice sections throughout the book encourage the student.
| Author | : Garda Turner |
| Publisher | : Pascal Press |
| Total Pages | : 240 |
| Release | : 2006 |
| Genre | : Juvenile Nonfiction |
| ISBN | : 9781740201742 |
| Author | : Valsa Koshy |
| Publisher | : Taylor & Francis |
| Total Pages | : 201 |
| Release | : 2011-03-28 |
| Genre | : Education |
| ISBN | : 1136808515 |
Now in a fully updated second edition, Unlocking Mathematics Teaching is a comprehensive guide to teaching mathematics in the primary school. Combining theory and practice, selected experts outline the current context of mathematics education. They suggest strategies, activities and examples to help develop readers understanding and confidence in delivering the curriculum. The book combines an accessible blend of subject knowledge and pedagogy, and its key features include: Advice on teaching mathematics to high and low attainers; Guidance on teaching mental maths; Ideas for incorporating ICT; Guidance on assessment in mathematics education; Teaching problem solving; Numerical and non-numerical examples; Updated references, taking into account the Williams Report. This book will be of interest to all primary education students and practising teachers looking to increase their confidence and effectiveness in delivering the mathematics curriculum.
| Author | : Sue Gifford |
| Publisher | : McGraw-Hill Education (UK) |
| Total Pages | : 208 |
| Release | : 2005-08-16 |
| Genre | : Education |
| ISBN | : 033522511X |
"With freshness, humour and originality, Sue Gifford demonstrates the interactive strategies that are required to teach mathematics to young children. The text is both refreshingly free from conventional wisdom and solidly grounded in recent research on learning and teaching early mathematics.At the same time, it is unfailing in its accuracy in uncovering children's own humour and instinct for subverting 'teacherly' overtures. Given the demonstrated lack of spontaneous mathematics in early childhood setting, this assembled collage of children's own observations, activities and comments is in itself a work of art." Professor Carol Aubrey, Institute of Education, University of Warwick, UK. What are the most important aspects of mathematics for young children to learn? How do children learn mathematics? How can adults best ‘teach’ mathematics to children so young? The book informs practitioners, students and parents about how three– to five-year-olds learn mathematics, and shows them how best to develop enjoyable mathematical learning in early years settings. The book includes a summary of relevant research and considers issues relating to current practice. This book: Establishes principles for teaching mathematics to young children Takes into account the way children learn, including social, emotional, physical and cognitive aspects Helps practitioners find the middle ground between not initiating enough mathematical activity and being too directive Suggests principles and frameworks for planning and assessment. The book places particular emphasis on adult-initiated, number-focused activities and playful, challenging and sensitive teaching strategies to engage younger children. The strategies are based on research and work with practitioners, and are illustrated by children’s own responses, such as making number jokes. It covers key areas of mathematics, including number, shape and space, measures and problem solving, with appropriate expectations and common difficulties as well as suggested activities. Essential reading for those teaching or preparing to teach mathematics to young children, as well as parents interested in the mathematical education of their children.
