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Marian Small – National Council of Teachers of Mathematics, 2025
This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…
Descriptors: Mathematical Concepts, Teaching Methods, Mathematics Instruction, Kindergarten
Hynes-Berry, Mary; Chen, Jie-Qi; Abel, Barbara – Teachers College Press, 2021
This groundbreaking book looks at the development of mathematical thinking in infants and toddlers, with an emphasis on the earliest stage, from zero to three, when mathematical thinking and problem solving first emerge as natural instincts. The text explores the four precursor math concepts--attribute, comparison, change, and pattern--with an…
Descriptors: Infants, Toddlers, Mathematics Skills, Mathematical Concepts
Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2018
The "Reasoning Algebraically about Operations Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty-four cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation into the…
Descriptors: Mathematics Instruction, Elementary Schools, Middle Schools, Teaching Methods
Gold, Lindsay A.; Houston, Michael S.; Bay-Williams, Jennifer M.; Ashurst, John M. – National Council of Teachers of Mathematics, 2018
Financial skills, like mathematical ones, must be built on a firm foundation. Whether one is putting money in a piggy bank or a 401(k), and purchasing a toy car or a real one, everyone needs the understanding of financial issues and math skills necessary for making sound decisions. The elementary classroom is the perfect place to introduce…
Descriptors: Money Management, Skill Development, Mathematics Skills, Elementary School Students
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
Dacey, Linda; Collins, Anne – Stenhouse Publishers, 2011
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards on Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…
Descriptors: Misconceptions, Academic Standards, Mathematics Instruction, Mathematical Concepts
Otto, Albert; Caldwell, Janet; Hancock, Sarah Wallus; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2011
This book identifies and examines two big ideas and related essential understandings for teaching multiplication and division in grades 3-5. Big Idea 1 captures the notion that multiplication is usefully defined as a scalar operation. Problem situations modeled by multiplication have an element that represents the scalar and an element that…
Descriptors: Mathematics Education, Problem Solving, Mathematics Instruction, Elementary School Mathematics
Dacey, Linda; Collins, Anne – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards on Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…
Descriptors: Grade 2, Grade 1, Misconceptions, Academic Standards
Dacey, Linda; Collins, Anne – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…
Descriptors: Grade 3, Grade 4, Misconceptions, Academic Standards
Collins, Anne; Dacey, Linda – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Sandards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…
Descriptors: Grade 5, Grade 6, Misconceptions, Academic Standards
Collins, Anne; Dacey, Linda – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…
Descriptors: Grade 7, Grade 8, Misconceptions, Academic Standards
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
Bresser, Rusty; Melanese, Kathy; Sphar, Christine – Math Solutions, 2009
More than 10 percent of the students in our nation's public schools are English language learners, and this number grows each year. Many of these students are falling behind in math. "Supporting English Language Learners in Math Class, Grades 3-5" outlines the challenges ELL students face when learning math and provides a wealth of specific…
Descriptors: Second Language Learning, English (Second Language), Language Proficiency, Mathematics Instruction
Krasa, Nancy; Shunkwiler, Sara – Brookes Publishing Company, 2009
How do children learn math--and why do some children struggle with it? The answers are in "Number Sense and Number Nonsense," a straightforward, reader-friendly book for education professionals and an invaluable multidisciplinary resource for researchers. More than a first-ever research synthesis, this highly accessible book brings math…
Descriptors: Mathematics Instruction, Learning Problems, Numbers, Arithmetic
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
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