Number Sense Routines

Number Sense Routines

Author: Jessica F. Shumway

Publisher: Stenhouse Publishers

Published: 2011

Total Pages: 194

ISBN-13: 1571107908

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Just as athletes stretch their muscles before every game and musicians play scales to keep their technique in tune, mathematical thinkers and problem solvers can benefit from daily warm-up exercises. Jessica Shumway has developed a series of routines designed to help young students internalize and deepen their facility with numbers. The daily use of these quick five-, ten-, or fifteen-minute experiences at the beginning of math class will help build students' number sense. Students with strong number sense understand numbers, ways to represent numbers, relationships among numbers, and number systems. They make reasonable estimates, compute fluently, use reasoning strategies (e.g., relate operations, such as addition and subtraction, to each other), and use visual models based on their number sense to solve problems. Students who never develop strong number sense will struggle with nearly all mathematical strands, from measurement and geometry to data and equations. In Number Sense Routines, Jessica shows that number sense can be taught to all students. Dozens of classroom examples -- including conversations among students engaging in number sense routines -- illustrate how the routines work, how children's number sense develops, and how to implement responsive routines. Additionally, teachers will gain a deeper understanding of the underlying math -- the big ideas, skills, and strategies children learn as they develop numerical literacy.


Building Thinking Classrooms in Mathematics, Grades K-12

Building Thinking Classrooms in Mathematics, Grades K-12

Author: Peter Liljedahl

Publisher: Corwin Press

Published: 2020-09-28

Total Pages: 454

ISBN-13: 1544374844

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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.


Horizons Math K Student Book 1

Horizons Math K Student Book 1

Author: Jks021

Publisher: Alpha Omega Publishing

Published: 2000-05

Total Pages: 0

ISBN-13: 9780740303098

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Horizons Math Kindergarten builds the foundation for the method of study that is used all the way through the Horizons Math program. Every concept follows a deliberate pattern of introduction and gradual development. Each lesson begins with a new concept or an expansion of a previously covered concept. This introduction starts a cycle of repetition and review that students will experience as they work through the lessons. Horizons Math Kindergarten lays a foundation for order and exactness. The daily practice in the student books teaches the recognition and printing of the numerals 0 to 100. Simple addition and subtraction from 0 to 10 are taught. the addition-subtraction concept is extended through 99 with the aid of counters and the number line. Counting through 100 is presented by 1's, 10's, 5's, 2's, 3's, and 4's. Principles of place value, measurement, calendar use, telling time, graphing, comparisons, and money concepts are also introduced.


Kindergarten Basic Math Success

Kindergarten Basic Math Success

Author: Sylvan Learning

Publisher: Sylvan Learning Publishing

Published: 2010-01-19

Total Pages: 130

ISBN-13: 0375430326

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A solid foundation of basic math skills is essential for early success in math. This workbook is designed for kindergarten-age students to learn basic math concepts.


The Imperfect and Unfinished Math Teacher [Grades K-12]

The Imperfect and Unfinished Math Teacher [Grades K-12]

Author: Chase Orton

Publisher: Corwin Press

Published: 2022-02-24

Total Pages: 210

ISBN-13: 1071841556

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The system won’t do it for us. But we have each other. In The Imperfect and Unfinished Math Teacher: A Journey to Reclaim Our Professional Growth, master storyteller Chase Orton offers a vulnerable and courageous grassroots guide that leads K-12 math teachers through a journey to cultivate a more equitable, inclusive, and cohesive culture of professionalism for themselves...what he calls professional flourishment. The book builds from two bold premises. First, that as educators, we are all naturally imperfect and unfinished, and growth should be our constant goal. Second, that the last 40 years of top-down PD efforts in mathematics have rarely supplied teachers with what they need to equitably grow their practice and foster classrooms that are likewise empowered, inclusive, and cohesive. With gentle humanity, this book inspires teachers to break down silos, observe each others’ classrooms, interrogate their own biases, and put students at the center of everything they do in the math classroom. This book: Weaves raw and authentic stories—both personal and those from other educators—into a relatable and validating narrative Offers interactive opportunities to self-reflect, build relationships, seek new vantage on our teaching by observing others’ classrooms and students, and share and listen to other’s stories and experiences Asks teachers to give and accept grace as they work collaboratively to better themselves and the system from within, so that they can truly serve each of their students authentically and equitably Implementing the beliefs and actions in this book will position teachers to become more active partners in each other’s professional growth so that they can navigate the obstacles in their professional landscape with renewed focus and a greater sense of individual and collective efficacy. It equips teachers—and by extension, their students—to chart their own course and author their own equitable and joyful mathematical and professional stories.


Visible Learning for Mathematics, Grades K-12

Visible Learning for Mathematics, Grades K-12

Author: John Hattie

Publisher: Corwin Press

Published: 2016-09-15

Total Pages: 209

ISBN-13: 1506362958

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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.


Kindergarten Math With Confidence Student Workbook

Kindergarten Math With Confidence Student Workbook

Author: Kate Snow

Publisher: National Geographic Books

Published: 2020-05-19

Total Pages: 0

ISBN-13: 1945841486

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A colorful, engaging, easy-to-use workbook that reinforces the lessons in the Instructor Guide. Quick and easy workbook pages will help children review and practice what they’ve learned. They’ll also develop children’s fine-motor skills and help them get used to pencil-and-paper work, which will prepare them for greater independence in first grade. This simple, beautiful, age-appropriate workbook is colorfully illustrated by Itamar Katz. This Student Workbook accompanies Kindergarten Math With Confidence: Instructor Guide.


Horizons Math Kindergarten

Horizons Math Kindergarten

Author: Saundra Lamgo

Publisher: Alpha Omega Publications (AZ)

Published: 2000-05

Total Pages: 166

ISBN-13: 9780740303104

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Horizons Math Kindergarten builds the foundation for the method of study that is used all the way through the Horizons Math program. Every concept follows a deliberate pattern of introduction and gradual development. Each lesson begins with a new concept or an expansion of a previously covered concept. This introduction starts a cycle of repetition and review that students will experience as they work through the lessons. Horizons Math Kindergarten lays a foundation for order and exactness. The daily practice in the student books teaches the recognition and printing of the numerals 0 to 100. Simple addition and subtraction from 0 to 10 are taught. the addition-subtraction concept is extended through 99 with the aid of counters and the number line. Counting through 100 is presented by 1's, 10's, 5's, 2's, 3's, and 4's. Principles of place value, measurement, calendar use, telling time, graphing, comparisons, and money concepts are also introduced.