Math Through Children's Literature: Making the NCTM Standards Come Alive

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Use children's literature as a springboard to successful mathematical literacy. This book contains summaries of books, each related to the NCTM Standards, that will help children gain familiarity with and an understanding of mathematical concepts. Each chapter has classroom-tested activities and a bibliography of additional books to further expand student learning.
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About the author

KATHRYN L. BRADDON, a former library media specialist, is a teacher, writer, and workshop leader based in Canandaigua, New York.

NANCY J. HALL taught preschool through college for 14 years and is currently an educational consultant in gifted education in central Pennsylvania.

DALE TAYLOR, Elementary Principal/K12 Curriculum Director, East Grand Forks Public Schools, East Grand Forks, Minnesota, and Associate Professor at the University of North Dakota, worked in an advisory capacity on the NCTM Standards.

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Additional Information

Publisher
Libraries Unlimited
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Published on
Dec 31, 1993
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Pages
218
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ISBN
9780872879324
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Language
English
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Genres
Education / Elementary
Education / Experimental Methods
Education / Teaching Methods & Materials / Mathematics
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Content Protection
This content is DRM protected.
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Available on Android devices
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Eligible for Family Library

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How lessons from kindergarten can help everyone develop the creative thinking skills needed to thrive in today's society.

In kindergartens these days, children spend more time with math worksheets and phonics flashcards than building blocks and finger paint. Kindergarten is becoming more like the rest of school. In Lifelong Kindergarten, learning expert Mitchel Resnick argues for exactly the opposite: the rest of school (even the rest of life) should be more like kindergarten. To thrive in today's fast-changing world, people of all ages must learn to think and act creatively—and the best way to do that is by focusing more on imagining, creating, playing, sharing, and reflecting, just as children do in traditional kindergartens.

Drawing on experiences from more than thirty years at MIT's Media Lab, Resnick discusses new technologies and strategies for engaging young people in creative learning experiences. He tells stories of how children are programming their own games, stories, and inventions (for example, a diary security system, created by a twelve-year-old girl), and collaborating through remixing, crowdsourcing, and large-scale group projects (such as a Halloween-themed game called Night at Dreary Castle, produced by more than twenty kids scattered around the world). By providing young people with opportunities to work on projects, based on their passions, in collaboration with peers, in a playful spirit, we can help them prepare for a world where creative thinking is more important than ever before.

Almost entirely rewritten and reformatted with many more learning tools, this classic text now has even greater appeal to today’s students. This edition features much more discussion of how research methods are relevant for practitioners, and many examples are based on field research and service delivery scenarios.

This comprehensive treatment of single-subject or within-subject design focuses on the strategic (the overall goal) and tactical (the methods and procedures) options available to investigators as they try to determine the most effective way of addressing research questions. The authors guide readers to consider the rationale for different ways of measuring behavior and designing experimental comparisons. At every point, the text explains the strengths and weaknesses of alternative choices so that readers can make the best decision in each situation.

Highlights of the new third edition include:

Rewritten in a straightforward and accessible style for students without a background in this area, this edition features many more field-based examples and applications. Increased focus on the application of research methods to the needs of practitioners in measuring behavior change and evaluating interventions under field conditions. Increased use of learning aids, including a "built-in study guide," summary tables, figures, boxed discussions of special topics, key terms with definitions, chapter summaries, suggested readings, discussion questions and exercises, and a glossary. Instructor’s resource materials available on a password-protected website with digital access to figures, tables, definition of new terms by chapters, multiple choice test questions, and content from the book’s learning aids, including study guide questions and suggested topics for class discussion and exercises.

With a focus on direct behavioral measurement and within-subject design, this book is intended for advanced undergraduate or graduate courses in behavioral research methods, basic or applied behavior analysis, or single-/within-subject design taught in psychology (especially clinical and counseling psychology), social work, education, developmental disabilities, and other social and health science programs that deal with human behavior in research or practice settings. Although the book is written for students without a background in behavioral research, its comprehensive approach to designing procedures for measuring behavior and creating experimental comparisons also make it a valuable resource for investigators and professionals.

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.
Banish math anxiety and give students of all ages a clear roadmap to success

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets:

Explains how the brain processes mathematics learningReveals how to turn mistakes and struggles into valuable learning experiencesProvides examples of rich mathematical activities to replace rote learningExplains ways to give students a positive math mindsetGives examples of how assessment and grading policies need to change to support real understanding

Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.

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