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Chval, Kathryn B.; Smith, Erin; Trigos-Carrillo, Lina; Pinnow, Rachel J. – National Council of Teachers of Mathematics, 2021

It is time to reimagine what is possible and celebrate the brilliance that multilingual learners bring to today's classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, even as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the…

Descriptors: Mathematics Instruction, English Language Learners, Mathematics Achievement, Teaching Methods

National Council of Teachers of Mathematics, 2020

"Catalyzing Change in Early Childhood and Elementary Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School…

Descriptors: Educational Change, Early Childhood Education, Elementary School Mathematics, Mathematics Instruction

National Council of Teachers of Mathematics, 2020

"Catalyzing Change in Middle School Mathematics" is part of the Catalyzing Change Series, a collection of three books intended to initiate the critical conversations on policies, practices, and issues that impact mathematics education. In 2018, the first book in the series, "Catalyzing Change in High School Mathematics: Initiating…

Descriptors: Mathematics Instruction, Secondary School Mathematics, Middle School Mathematics, Middle School Teachers

Wills, Theresa – National Council of Teachers of Mathematics, 2020

In an age when distance learning has become part of the "new normal," educators know that rich remote math teaching involves more than direct instruction, online videos, and endless practice problems on virtual activity sheets. Using both personal experience and those of teachers in real K-grade 12 online classrooms, distance learning…

Descriptors: Mathematics Instruction, Distance Education, Elementary Secondary Education, Web Based Instruction

Karp, Karen S.; Dougherty, Barbara J.; Bush, Sarah B. – National Council of Teachers of Mathematics, 2020

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Descriptors: Elementary School Mathematics, Mathematics Instruction, Alignment (Education), Teaching Methods

Small, Marian – National Council of Teachers of Mathematics, 2020

Now in its fourth edition--with more than 50 new questions and a new chapter on financial literacy--this bestselling resource helps experienced and novice teachers effectively and efficiently differentiate mathematics instruction in K-grade 8. Math education expert Marian Small shows teachers how to get started and become expert at using two…

Descriptors: Mathematics Instruction, Academic Standards, Individualized Instruction, Elementary School Mathematics

Kobett, Beth; Karp, Karen – National Council of Teachers of Mathematics, 2020

We often evaluate student thinking and their work from a deficit point of view, particularly in mathematics, where many teachers have been taught that their role is to diagnose and eradicate students' misconceptions. But what if instead of focusing on what students don't know or haven't mastered, we identify their mathematical strengths and build…

Descriptors: Teaching Methods, Mathematics Instruction, Mathematics Education, Elementary School Mathematics

Dougherty, Barbara J.; Bush, Sarah B.; Karp, Karen S. – National Council of Teachers of Mathematics, 2020

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Descriptors: Secondary School Mathematics, Mathematics Instruction, Alignment (Education), Teaching Methods

Bush, Sarah B.; Karp, Karen S.; Dougherty, Barbara J. – National Council of Teachers of Mathematics, 2020

Do you sometimes start to teach a mathematics concept and feel like you are staring at a sea of bewildered faces? What happens when you discover that students previously learned a calculation trick or a mnemonic that has muddied their long-term understanding? When "rules" seem to change from year to year, teacher to teacher, or school to…

Descriptors: Middle School Mathematics, Mathematics Instruction, Alignment (Education), Teaching Methods

Dougherty, Barbara J.; Karp, Karen S. – National Council of Teachers of Mathematics, 2019

Do your students say that one object is "bigger" than another without attending more precisely to the attribute they are comparing? Do they have difficulty naming numbers from 11 to 19? Do some students still count all while their classmates are counting on or counting by tens? What tasks can you offer--what questions can you ask--to…

Descriptors: Early Childhood Education, Early Childhood Teachers, Mathematics Instruction, Pedagogical Content Knowledge

Smith, Margaret; Sherin, Miriam Gamoran – National Council of Teachers of Mathematics, 2019

Take a deeper dive into understanding the five practices-anticipating, monitoring, selecting, sequencing, and connecting-for facilitating productive mathematical conversations in your middle school classrooms and learn to apply them with confidence. This follow-up to the modern classic, "The 5 Practices in Practice: Successfully Orchestrating…

Descriptors: Middle Schools, Mathematics Instruction, Secondary School Mathematics, Discussion (Teaching Technique)

Bush, Sarah; Cook, Kristin – National Council of Teachers of Mathematics, 2019

How do you create an innovative and equitable classroom experience that prepares elementary students for jobs that don't yet exist while placing a critical focus on mathematics and science content and practice standards-all while meeting the demands of high-stakes testing? The answer to this question is Step into STEAM, by Sarah Bush and Kristin…

Descriptors: STEM Education, Art Education, Elementary Education, Elementary School Teachers

Mohr, Doris, Ed.; Walcott, Crystal, Ed.; Kloosterman, Peter, Ed. – National Council of Teachers of Mathematics, 2019

"Mathematical Thinking: From Assessment Items to Challenging Tasks" is a compilation of 36 problem-based lessons that encourage students to engage in productive struggle and deep thinking. Its 36 full-length lessons for grades 2-8 are each inspired by an actual test item from the National Assessment of Educational Progress (NAEP).…

Descriptors: Problem Based Learning, Test Items, Elementary School Mathematics, Middle School Mathematics

National Council of Teachers of Mathematics, 2018

"Catalyzing Change in High School Mathematics: Initiating Critical Conversations" identifies and addresses critical challenges in high school mathematics to ensure that each and every student has the mathematical experiences necessary for his or her future personal and professional success. These challenges include: (1) explicitly…

Descriptors: Secondary School Mathematics, High School Students, Mathematics Instruction, Equal Education

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