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Did you mean mathematics AND teacher AND note?

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

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

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

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, 2010

Classically, geometry has been the subject in which students encounter mathematical proof based on formal deduction. Attention to proof in the geometry curriculum is strengthened by a focus on reasoning and sense making. This book examines the four key elements (conjecturing about geometric objects, construction and evaluation of geometric…

Descriptors: Geometry, Secondary School Mathematics, High Schools, Geometric Concepts

Fennell, Francis – National Council of Teachers of Mathematics, 2011

"Achieving Fluency" presents the understandings that all teachers need to play a role in the education of students who struggle: those with disabilities and those who simply lack essential foundational knowledge. This book serves teachers and supervisors by sharing increasingly intensive instructional interventions for struggling students on…

Descriptors: State Standards, Disabilities, Special Education, Mathematics Instruction

Copley, Juanita V., Ed. – National Council of Teachers of Mathematics, 2004

Written for all teachers of young children, this book illustrates activities that promote early mathematics development for children ages three to five and "showcases" mathematics for the young child. The thirty-five activities in this book are distributed into five content areas: number and operations, geometry, algebra, measurement, and data…

Descriptors: Young Children, Geometry, Early Childhood Education, Preschool Teachers

Masalski, William J., Ed. – National Council of Teachers of Mathematics, 2005

Technology is playing an increasingly important role in the teaching and learning of mathematics at all levels. This publication reports on overviews of research and findings on the impact of technology. It furnishes a context in which to observe teachers in prekindergarten through grade 12 and teacher educators using technology to help their…

Descriptors: Mathematics Education, Mathematics Activities, Young Children, Computer Software