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Silver, Edward A., Ed.; Kenney, Patricia Ann, Ed. – National Council of Teachers of Mathematics, 2015

This book's 28 chapters are adapted and updated from articles published in NCTM's "Journal for Research in Mathematics Education" between 2000 and 2010. The authors have rewritten and revised their work to make it clear, understandable, and--most of all--useful for mathematics teachers today. To help teachers even more, these articles…

Descriptors: Theory Practice Relationship, Mathematics Education, Educational Research, Common Core State Standards

National Council of Teachers of Mathematics, 2017

When it comes to mathematics, standards aligned is achievement alignedâ€¦ In the short time since "The Common Core Mathematics Companions" for grades K-2, 3-5 and 6-8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics…

Descriptors: Mathematics Instruction, Academic Standards, Common Core State Standards, High Schools

Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2016

The "Building a System of Tens Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation of specific mathematical…

Descriptors: Mathematics Instruction, Seminars, Case Method (Teaching Technique), Mathematical Concepts

Markworth, Kim; McCool, Jenni; Kosiak, Jennifer – National Council of Teachers of Mathematics, 2015

Holidays and seasonal activities provide excitement and a change of pace for teachers and students alike. They also offer perfect backdrops for mathematical tasks that can be related to other topics and themes in the classroom. "Problem Solving in All Seasons, Prekindergarten-Grade 2" delivers thirty-two appealing, real-world situations,…

Descriptors: Primary Education, Early Childhood Education, Problem Solving, Kindergarten

Lester, Frank – National Council of Teachers of Mathematics, 2010

How can teachers learn what they need to know? Every community of educators, regardless of field or specialization, can benefit from being well informed about current research findings. A considerable amount of mathematics education research exists to inform teachers and administrators about teaching and learning mathematics. Research can show…

Descriptors: Mathematics Education, Elementary School Teachers, Educational Research, Theory Practice Relationship

Schielack, Jane – National Council of Teachers of Mathematics, 2010

This book describes and illustrates learning paths for the mathematical concepts and skills of each grade 8 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate understanding, stimulate productive discussions about…

Descriptors: Mathematics Curriculum, Grade 8, Misconceptions, Mathematics Instruction

Caldwell, Janet H.; Kobett, Beth; Karp, Karen – National Council of Teachers of Mathematics, 2014

Do your students have the incorrect idea that addition "makes numbers bigger" and subtraction "makes numbers smaller"? Do they believe that subtraction is always "taking away"? What tasks can you offer--what questions can you ask--to determine what your students know or don't know--and move them forward in their…

Descriptors: Arithmetic, Addition, Subtraction, Elementary School Mathematics

Fuson, Karen; Clements, Douglas; Beckmann, Sybilla – National Council of Teachers of Mathematics, 2010

"Focus in Grade 1: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 1 Focal Point as presented in Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics. It includes representational supports for teaching and learning that can facilitate…

Descriptors: Mathematics Curriculum, Mathematical Concepts, Grade 1, Misconceptions

Louis, Everett; Flores, Alfinio; Sophian, Catherine; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2010

How do composing and decomposing numbers connect with the properties of addition? Focus on the ideas that you need to thoroughly understand in order to teach with confidence. The mathematical content of this book focuses on essential knowledge for teachers about numbers and number systems. It is organized around one big idea and supported by…

Descriptors: Number Systems, Mathematical Concepts, Mathematics Instruction, Pedagogical Content Knowledge

Fosnot, Catherine – National Council of Teachers of Mathematics, 2010

Explore successful models of intervention. No Child Left Behind has set the high expectation that every child meet grade level expectations. This publication synthesizes the research on intervention programs and best practices related to mathematical instructional pedagogy and differentiation to assist teachers, schools, and school districts in…

Descriptors: Intervention, Federal Legislation, Teacher Collaboration, Instructional Effectiveness

Hynes, Ellen Mary, Ed.; Blair, Catherine, Ed. – National Council of Teachers of Mathematics, 2005

Get students into math using outer space! Mission Mathematics translates the NASA experience into language and experiences appropriate for young learners, and provides teachers with mathematics activities that complement many of the available NASA resources for students and educators. In these motivating investigations, young children engage in…

Descriptors: Investigations, Educational Technology, Mathematical Concepts, Mathematics Education

Clarke, Carne; Fisher, William; Marks, Rick; Ross, Sharon; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2010

This book focuses on essential knowledge for teachers about rational numbers. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings. Taking teachers beyond a simple introduction to rational numbers, the book will broaden and deepen their mathematical understanding of one of the most…

Descriptors: Mathematics Curriculum, Numbers, Elementary School Teachers, Misconceptions

Lloyd, Gwendolyn; Beckmann, Sybilla; Zbiek, Rose Mary; Cooney, Thomas – National Council of Teachers of Mathematics, 2010

Are sequences functions? What can't the popular "vertical line test" be applied in some cases to determine if a relation is a function? How does the idea of rate of change connect with simpler ideas about proportionality as well as more advanced topics in calculus? Helping high school students develop a robust understanding of functions requires…

Descriptors: Calculus, Misconceptions, Mathematics Instruction, Mathematics Teachers

National Council of Teachers of Mathematics, 2006

This book provides a rationale for focal points for each grade level, prekindergarten-8. Focal points are important mathematical topics that represent major areas of content emphasis. Building on "Principles and Standards for School Mathematics," this publication is presented to begin a dialogue on what is important at particular levels…

Descriptors: Early Childhood Education, Elementary Secondary Education, Fundamental Concepts, Units of Study

Fosnot, Catherine Twomey; Jacob, Bill – National Council of Teachers of Mathematics, 2010

This book provides a landscape of learning that helps teachers recognize, support, and celebrate their students' capacity to structure their worlds algebraically. It identifies the models, contexts, and landmarks that facilitate algebraic thinking in young students and provides insightful and practical methods for teachers, math supervisors, and…

Descriptors: Mathematics Education, Elementary School Mathematics, Investigations, Number Systems