Think First, Apply Math, Think Further

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Publisher : Xlibris Corporation
ISBN 13 : 1413454321
Total Pages : 509 pages
Book Rating : 4.4/5 (134 download)

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Book Synopsis Think First, Apply Math, Think Further by : William J. Adams

Download or read book Think First, Apply Math, Think Further written by William J. Adams and published by Xlibris Corporation. This book was released on 2005-08 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Mathematical Thinking

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Publisher :
ISBN 13 : 9780615653631
Total Pages : 0 pages
Book Rating : 4.6/5 (536 download)

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Book Synopsis Introduction to Mathematical Thinking by : Keith J. Devlin

Download or read book Introduction to Mathematical Thinking written by Keith J. Devlin and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Mathematical thinking is not the same as 'doing math'--unless you are a professional mathematician. For most people, 'doing math' means the application of procedures and symbolic manipulations. Mathematical thinking, in contrast, is what the name reflects, a way of thinking about things in the world that humans have developed over three thousand years. It does not have to be about mathematics at all, which means that many people can benefit from learning this powerful way of thinking, not just mathematicians and scientists."--Back cover.

Alarming! The Chasm Separating Education of Applications of Finite Math from it's Necessities

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Publisher : Xlibris Corporation
ISBN 13 : 1479799920
Total Pages : 135 pages
Book Rating : 4.4/5 (797 download)

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Book Synopsis Alarming! The Chasm Separating Education of Applications of Finite Math from it's Necessities by : William J. Adams

Download or read book Alarming! The Chasm Separating Education of Applications of Finite Math from it's Necessities written by William J. Adams and published by Xlibris Corporation. This book was released on 2013-07 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: William J. Adams, Professor of Mathematics at Pace University, is a recipient of Pace's Outstanding Teacher Award. He was Chairman of the Pace N.Y. Mathematics Department from 1976 through 1991. Professor Adams is author or co-author of over twenty books on mathematics, its applications, and history, including Elements of Linear Programming (1969), Calculus for Business and Social Science (1975), Fundamentals of Mathematics for Business, Social and Life Sciences (1979), Elements of Complex Analysis (1987), Get a Grip on Your Math (1996), Slippery Math in Public Affairs: Price Tag and Defense (2002) ; Think First, Apply MATH, Think Further: Food for Thought (2005), The Life and Times of the Central Limit Theorem Second Edition(2009), and Alarming! The Chasm Separating Basic Statistics Education from its Necessities (2013). His concern with the slippery side of math and what math can do for us and its limitations is a prominent feature of his writings on applications. Concerning higher education in general, he is the author of The Nitty-Gritty in the Life of a University (2007).

Math is Precise, Period, vs. Math is Precise, Strings Attached

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Publisher : Xlibris Corporation
ISBN 13 : 1469107325
Total Pages : 426 pages
Book Rating : 4.4/5 (691 download)

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Book Synopsis Math is Precise, Period, vs. Math is Precise, Strings Attached by : William J. Adams

Download or read book Math is Precise, Period, vs. Math is Precise, Strings Attached written by William J. Adams and published by Xlibris Corporation. This book was released on 2010-01-18 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the outcome of my conclusion that current mathematics education, taken in total, is a disaster and that by sharing my experience and thoughts about teaching mathematics I might be helpful to colleagues, students, and others who are concerned about mathematics education to mitigate this state of affairs. Mathematics education disaster in what sense? No, it?s not in the sense that I believe insuffi cient attention is being given to number fundamentals. It has to do with the almost unanimously held erroneous view about the nature, precision, and infallibility of mathematics that we acquire from the current state of mathematics education. Current mathematics education does not prepare us for life in the 21st century, which requires an understanding of the mathematical modeling perspective, of what mathematics can do and its limitations, and an appreciation of the questions that should be considered to help us distinguish numbers that inform from those that deceive. If the wizards of Wall Street had a 21st century mathematics education, there is a good chance that they would not have put unquestioning faith in their value at risk math models and the fi nancial meltdown of 2008-09 would have been avoided, or at least softened. If the nation?s decision makers and the public at large were better educated about what questions to give thought to when numbers continually hurled at them are the basis for decision making, they would be less vulnerable to accepting faulty numbers and all of us would be less at risk to the consequences of bad decision making.

The Nitty-Gritty in the Life of a University

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Publisher : Xlibris Corporation
ISBN 13 : 1425709141
Total Pages : 445 pages
Book Rating : 4.4/5 (257 download)

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Book Synopsis The Nitty-Gritty in the Life of a University by : William J. Adams

Download or read book The Nitty-Gritty in the Life of a University written by William J. Adams and published by Xlibris Corporation. This book was released on 2007 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: An esteemed professor and one-time chairman of the mathematics department at New York's Pace University, Adams, interested in all facets of university administration, has produced an almost Jeffersonian volume of correspondence from his tenure. His views on textbook selection, collective bargaining and the proper role of the university have all flowed from his notebook, and no problem was too minute to evade his scope The frivolity of some of these papers is balanced by Adams's opinions on weightier issues, including sexual harassment and compensation in higher education. His approach and forward manner on these situations, despite how genuine, sometimes engendered resentment from his fellow faculty. But for those interested in the particulars of an academic career, this book offers a glimpse of what life may really be like inside the ivory tower. - Kirkus Discoveries-

Alarming! The Chasm Separating Basic Statistics Education from its Necessities

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Publisher : Xlibris Corporation
ISBN 13 : 1477120114
Total Pages : 195 pages
Book Rating : 4.4/5 (771 download)

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Book Synopsis Alarming! The Chasm Separating Basic Statistics Education from its Necessities by : William J. Adams

Download or read book Alarming! The Chasm Separating Basic Statistics Education from its Necessities written by William J. Adams and published by Xlibris Corporation. This book was released on 2013-05 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fairly large sample of current basic statistics books I gave thought to recently may, in my view, be characterized as number pushers with a large number of illustrations intended to convey a sense of the importance of statistics to the study of real-world problems. What's wrong with that? Nothing, provided that what I submit to be the necessities of statistics education are given the attention they warrant, are not smothered by glitz, overwhelming attention to number pushing, do not receive shortshrift, or are not mentioned at all. Am I being too critical? I invite you to give thought to fifteen, issues/questions that are the core of the aforenoted chasm and render your verdict. Food-for-thought in support of the issues/questions raised along with answers/discussion are included. Many students and those who apply statistics to their fields of interest subscribe to the view that to apply statistics to a problem/situation all you need do is throw your data into a computer and let it do its thing. The further they travel along this road of thought the more we can expect misunderstanding of statistics and, when it comes to publication, statistical junk. I believe that the only way to change the direction of this road of thought is to incorporate into our teaching of basic statistics what is feasible of the necessities of statistics education. For further discussion of the necessities of basic statistics education I recommend the book I coauthored with my colleagues Irwin Kabus and Mitchell Preiss: Statistics: Basic Principles and Applications, 2nd ed, (Kendall/Hunt Publishing Co., 2000) or the revised 2nd ed., W. J. Adams (Xlibris, 2009).

Reflections on the University Scene

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Publisher : Xlibris Corporation
ISBN 13 : 1469107333
Total Pages : 378 pages
Book Rating : 4.4/5 (691 download)

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Book Synopsis Reflections on the University Scene by : William J. Adams

Download or read book Reflections on the University Scene written by William J. Adams and published by Xlibris Corporation. This book was released on 2008-06-28 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflections on the University Scene presents a sample of ideas, thoughts, and points of view, intimate to the university scene. They include the nature of the university, governance, limits of dissent, academic freedom, tenure, collective bargaining, liberal education, admissions, higher education and high-tech, and memorable teachers and teaching.

Rough Draft Math

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Publisher : Taylor & Francis
ISBN 13 : 1003839126
Total Pages : 224 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Rough Draft Math by : Amanda Jansen

Download or read book Rough Draft Math written by Amanda Jansen and published by Taylor & Francis. This book was released on 2023-10-10 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Talking and writing about unfinished ideas is vital to learning mathematics, but most students only speak up when they think they have the right answer - especially middle school and high school students. Amanda Jansen and her collaborating teachers have developed a breakthrough approach to address this challenge. Rough Draft Math: Revising to Learn, Jansen shares the power of infusing math class with the spirit of revision so that students feel comfortable thinking aloud as they problem-solve rather than talking only to perform right answers. Creating a Community of Learners: As part of the rough draft framework, a class of students becomes an equitable and inclusive community of thinkers, one where students feel safe to engage in discourse while developing mathematical competency and confidence Practical Application of Innovative Ideas: This book includes specific teaching techniques and a range of classroom vignettes showing rough draft math in action within a student-centered teaching approach. Children can develop solutions at their own pace and share thought processes behind their conclusions Classroom Tested: Jansen has developed the concept of rough draft math in collaboration with a diverse group of dynamic and reflective teachers. Rough Draft Math' provides a blueprint for educators to allow free-thinking discussion while maintaining the mathematical learning goalsRough Draft Math, Jansen shows how to create an energetic classroom culture where students readily participate and share their evolving understanding while engaging in math talk, collaborative problem solving, and ongoing revision of ideas. '

Building Thinking Classrooms in Mathematics, Grades K-12

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Publisher : Corwin Press
ISBN 13 : 1544374844
Total Pages : 454 pages
Book Rating : 4.5/5 (443 download)

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Book Synopsis Building Thinking Classrooms in Mathematics, Grades K-12 by : Peter Liljedahl

Download or read book Building Thinking Classrooms in Mathematics, Grades K-12 written by Peter Liljedahl and published by Corwin Press. This book was released on 2020-09-28 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: A thinking student is an engaged student Teachers often find it difficult to implement lessons that help students go beyond rote memorization and repetitive calculations. In fact, institutional norms and habits that permeate all classrooms can actually be enabling "non-thinking" student behavior. Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K–12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur. This guide Provides the what, why, and how of each practice and answers teachers’ most frequently asked questions Includes firsthand accounts of how these practices foster thinking through teacher and student interviews and student work samples Offers a plethora of macro moves, micro moves, and rich tasks to get started Organizes the 14 practices into four toolkits that can be implemented in order and built on throughout the year When combined, these unique research-based practices create the optimal conditions for learner-centered, student-owned deep mathematical thinking and learning, and have the power to transform mathematics classrooms like never before.

Thinking and Learning About Mathematics in the Early Years

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Publisher : Routledge
ISBN 13 : 1134082282
Total Pages : 131 pages
Book Rating : 4.1/5 (34 download)

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Book Synopsis Thinking and Learning About Mathematics in the Early Years by : Linda Pound

Download or read book Thinking and Learning About Mathematics in the Early Years written by Linda Pound and published by Routledge. This book was released on 2008-03-20 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can early years practitioners help young children to become not only numerate but aspiring mathematicians who love numbers, shapes and mathematical comparisons? The introduction of the Foundation Stage has led to practitioners seeking ways to teach maths which are more in line with the creative and playful ways young children learn other subjects. Linda Pound draws on current thinking about children's mathematical development to show how you can encourage and enhance the numeracy skills of any child in the early years by linking maths to every-day life situations and making it a playful and enjoyable cross-curricular activity. This highly practical and engaging text includes chapters on: why maths is often seen as 'hard' and what practitioners can do to help young children be more successful exploring shapes, space, measures and patterns how to make maths more fun and playful, using games, humour, stories and rhymes using music and dance to enhance mathematical understanding encouraging children to see the connection between maths and everyday experiences through, for example sorting, matching and guessing creating an environment for mathematical development, indoors and out Concluding with a chapter on how practitioners and parents can become more confident in their use of maths, this user-friendly text, packed full of ideas, is essential reading for practitioners in any early years setting. Students on Early Education courses will also find much here to inspire them.

The Mathematics Teacher

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Publisher :
ISBN 13 :
Total Pages : 1062 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Mathematics Teacher by :

Download or read book The Mathematics Teacher written by and published by . This book was released on 1922 with total page 1062 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Parliamentary Papers

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Publisher :
ISBN 13 :
Total Pages : 766 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Parliamentary Papers by : Great Britain. Parliament. House of Commons

Download or read book Parliamentary Papers written by Great Britain. Parliament. House of Commons and published by . This book was released on 1906 with total page 766 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics Tasks for the Thinking Classroom, Grades K-5

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Publisher : Corwin Press
ISBN 13 : 1071951882
Total Pages : 553 pages
Book Rating : 4.0/5 (719 download)

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Book Synopsis Mathematics Tasks for the Thinking Classroom, Grades K-5 by : Peter Liljedahl

Download or read book Mathematics Tasks for the Thinking Classroom, Grades K-5 written by Peter Liljedahl and published by Corwin Press. This book was released on 2024-05-27 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Practical and proven math tasks to maximize student thinking and learning Building upon the blockbuster success of Building Thinking Classrooms in Mathematics, Peter Liljedahl has joined forces with co-author Maegan Giroux to bring the Building Thinking Classrooms (BTC) framework to life in this new book, Mathematics Tasks for the Thinking Classroom, Grades K-5. But this book is so much more than simply a collection of good thinking tasks. It delves deeper into the implementation of the 14 practices from the BTC framework by updating the practices with the newest research, and focusing on the practice through the lens of rich math tasks that address specific mathematical learning outcomes or standards. Across the 20 non-curricular tasks and 30 curricular tasks used as models, this book: Helps you choose tasks to fit your particular math standards, goals, and the competencies you want your students to build Walks you through all the steps and scripts to launch, facilitate, and consolidate each task Shares examples of possible student solutions along with hints you might offer to help their thinking along Offers tasks for consolidation, example notes to my future forgetful self, and mild, medium, and spicy check-your-understanding questions (CYUs) for every thin sliced sequences of curricular tasks Imparts reflections from the authors on each task The book closes with specific guidance on how to find more tasks or craft your own non-curricular and curricular tasks, along with answers to educators’ frequently asked questions. It includes access to a companion website that includes downloadables and a task template for creating your own tasks. Whether you are new to BTC or a seasoned user, Mathematics Tasks for the Thinking Classroom, Grades K-5 will help teachers, coaches, and specialists transform traditional math classrooms into dynamic and thought-provoking learning spaces.

Visible Learning in Early Childhood

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Publisher : Corwin Press
ISBN 13 : 1071825704
Total Pages : 280 pages
Book Rating : 4.0/5 (718 download)

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Book Synopsis Visible Learning in Early Childhood by : Kateri Thunder

Download or read book Visible Learning in Early Childhood written by Kateri Thunder and published by Corwin Press. This book was released on 2021-09-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Make learning visible in the early years Early childhood is a uniquely sensitive time, when young learners are rapidly developing across multiple domains, including language and literacy, mathematics, and motor skills. Knowing which teaching strategies work best and when can have a significant impact on a child’s development and future success. Visible Learning in Early Childhood investigates the critical years between ages 3 and 6 and, backed by evidence from the Visible Learning® research, explores seven core strategies for learning success: working together as evaluators, setting high expectations, measuring learning with explicit success criteria, establishing developmentally appropriate levels of learning, viewing mistakes as opportunities, continually seeking feedback, and balancing surface, deep, and transfer learning. The authors unpack the symbiotic relationship between these seven tenets through Authentic examples of diverse learners and settings Voices of master teachers from the US, UK, and Australia Multiple assessment and differentiation strategies Multidisciplinary approaches depicting mathematics, literacy, art and music, social-emotional learning, and more Using the Visible Learning research, teachers partner with children to encourage high expectations, developmentally appropriate practices, the right level of challenge, and a focus on explicit success criteria. Get started today and watch your young learners thrive!

Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds

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Publisher : Springer
ISBN 13 : 3319683519
Total Pages : 443 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds by : Carolyn Kieran

Download or read book Teaching and Learning Algebraic Thinking with 5- to 12-Year-Olds written by Carolyn Kieran and published by Springer. This book was released on 2017-12-04 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights new developments in the teaching and learning of algebraic thinking with 5- to 12-year-olds. Based on empirical findings gathered in several countries on five continents, it provides a wealth of best practices for teaching early algebra. Building on the work of the ICME-13 (International Congress on Mathematical Education) Topic Study Group 10 on Early Algebra, well-known authors such as Luis Radford, John Mason, Maria Blanton, Deborah Schifter, and Max Stephens, as well as younger scholars from Asia, Europe, South Africa, the Americas, Australia and New Zealand, present novel theoretical perspectives and their latest findings. The book is divided into three parts that focus on (i) epistemological/mathematical aspects of algebraic thinking, (ii) learning, and (iii) teaching and teacher development. Some of the main threads running through the book are the various ways in which structures can express themselves in children’s developing algebraic thinking, the roles of generalization and natural language, and the emergence of symbolism. Presenting vital new data from international contexts, the book provides additional support for the position that essential ways of thinking algebraically need to be intentionally fostered in instruction from the earliest grades.

AIMSSEC Maths Teacher Support Series Mathematical Thinking in the Lower Secondary Classroom

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Publisher : Cambridge University Press
ISBN 13 : 1316503623
Total Pages : 209 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis AIMSSEC Maths Teacher Support Series Mathematical Thinking in the Lower Secondary Classroom by : African Institute for Mathematical Sciences Schools Enrichment Centre

Download or read book AIMSSEC Maths Teacher Support Series Mathematical Thinking in the Lower Secondary Classroom written by African Institute for Mathematical Sciences Schools Enrichment Centre and published by Cambridge University Press. This book was released on 2016-02-25 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series is for maths teachers who want to develop their maths teaching skills. This book is for teachers and educators who want to develop their maths teaching skills where English is the language of instruction. It has been written by the international group of educators based at AIMSSEC, The African Institute for Mathematical Sciences Schools Enrichment Centre. The book provides practical classroom activities underpinned by sound pedagogy and recent research findings. The activities are designed for teachers working alone or in 'self-help' teachers' workshops. They are designed to develop mathematical thinking and offer immediate practical tools to help deliver this approach.

School Science and Mathematics

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Publisher :
ISBN 13 :
Total Pages : 906 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis School Science and Mathematics by :

Download or read book School Science and Mathematics written by and published by . This book was released on 1915 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt: