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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
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
Small, Marian – National Council of Teachers of Mathematics, 2009
Using differentiated instruction in the classroom can be a challenge, especially when teaching mathematics. This book cuts through the difficulties with two powerful and universal strategies that teachers can use across all math content: Open Questions and Parallel Tasks. Specific strategies and examples for grades Kindergarten - 8 are organized…
Descriptors: Data Analysis, Probability, Geometry, Teachers
National Council of Teachers of Mathematics, 2009
Reasoning about and making sense of statistics and probability are essential to students' future success. This volume belongs to a series that supports National Council of Teachers of Mathematics' (NCTM's) "Focus in High School Mathematics: Reasoning and Sense Making" by providing additional guidance for making reasoning and sense making part of…
Descriptors: Statistics, Probability, High School Students, Secondary School Mathematics
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
Monroe, Eula Ewing, Ed.; Young, Terrell A., Ed.; Fuentes, Debra S., Ed.; Dial, Olivia Haworth, Ed. – National Council of Teachers of Mathematics, 2018
"Deepening Students' Mathematical Understanding with Children's Literature" is an important addition NCTM's books that focus on high quality children's books to create engaging and meaningful tasks that deepen mathematics learning for pre-K and elementary students. Classroom teachers in early childhood and elementary grades will find the…
Descriptors: Childrens Literature, Mathematics Instruction, Elementary School Students, Teaching Methods
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
National Council of Teachers of Mathematics, 2007
Learning mathematics is the central goal of mathematics education, yet it is the least frequently addressed of the National Council of Teachers of Mathematics' (NCTM's) Principles and Standards. With an increasing population of English language learners and the inclusion of students with learning disabilities into the regular mathematics…
Descriptors: Learning Theories, Preservice Teachers, Mathematics Education, Inclusive Schools
National Council of Teachers of Mathematics, 2008
Algebra is no longer just for college-bound students. After a widespread push by the National Council of Teachers of Mathematics (NCTM) and teachers across the country, algebra is now a required part of most curricula. However, students' standardized test scores are not at the level they should be. NCTM's seventieth yearbook takes a look at the…
Descriptors: Elementary School Mathematics, Sentences, Mathematics Education, Standardized Tests
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
Graham, Karen; Cuoco, Albert; Zimmermann, Gwendolyn – National Council of Teachers of Mathematics, 2010
This book examines the five key elements (meaningful use of symbols, mindful manipulation, reasoned solving, connection algebra with geometry, and linking expressions and functions) identified in "Focus in High School Mathematics: Reasoning and Sense Making" in more detail and elaborates on the associated reasoning habits. This volume is one of a…
Descriptors: High School Students, Symbols (Mathematics), Geometry, Algebra
National Council of Teachers of Mathematics, 2015
Do your students think a triangle can be constructed from any three given line segments? Do they believe that a transformation affects only the pre-image--not the whole plane? Do they understand that examples--no matter how many they find--cannot prove a conjecture but one counterexample is sufficient to disprove it? "What tasks can you…
Descriptors: Geometry, Educational Practices, Secondary School Mathematics, Pedagogical Content Knowledge
Peters, Susan A.; Bay-Williams, Jennifer M.; Martinie, Sherri L. – National Council of Teachers of Mathematics, 2016
As high school students make more and more important decisions, their need for financial literacy increases significantly. To succeed in life, they need both an understanding of financial issues and the math skills to make financially sound choices. With all the requirements and standards to be met in high schools today, how can teachers find room…
Descriptors: High School Students, Money Management, Mathematics Skills, Common Core State Standards
National Council of Teachers of Mathematics, 2009
Addressing the direction of high school mathematics in the 21st century, this resource builds on the ideas of NCTM's Principles and Standards for School Mathematics and focuses on how high school mathematics can better prepare students for future success. Reasoning and sense making are at the heart of the high school curriculum. Discover the…
Descriptors: National Standards, Mathematics Curriculum, Secondary School Mathematics, Mathematical Logic
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
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