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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

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

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

Bay-Williams, Jennifer M.; Bush, Sarah B.; Peters, Susan A.; McGatha, Maggie B. – National Council of Teachers of Mathematics, 2015

To succeed in college, career, and life, students need to become financially literate. But understanding the basics of a long-term investment or a short-term loan is not enough without the math skills to make financially sound choices. In the already full curriculum of middle schools today, how can teachers find room to include financial literacy?…

Descriptors: Money Management, Middle School Students, Teaching Methods, Mathematical Concepts

Rubenstein, Rheta N., Ed.; Bright, George W., Ed. – National Council of Teachers of Mathematics, 2004

Teaching is a complex, ongoing endeavor that involves a myriad of decisions. NCTM's Sixty-Sixth Yearbook is organized around three aspects of teaching: foundations for teaching, the enactment of teaching, and the support of teaching nurtured in preservice education and strengthened throughout a teacher's career. The accompanying professional…

Descriptors: Preservice Teacher Education, Mathematics Education, Teaching Models, Educational Change

National Council of Teachers of Mathematics, 2006

The 2006 NCTM Sixty-eighth Yearbook focuses on students' and teachers' learning in statistics centered on a set of activities. Topics include the relation between mathematics and statistics, the development and enrichment of mathematical concepts through the use of statistics, and a discussion of the research related to teaching and learning…

Descriptors: Yearbooks, Probability, Inferences, Educational Technology

Kloosterman, Peter, Ed.; Lester, Frank K., Jr., Ed. – National Council of Teachers of Mathematics, 2004

Often referred to as "The Nation's Report Card," the mathematics assessments of the National Assessment of Educational Progress (NAEP) have come to be regarded by many policymakers as the primary yardstick by which to judge our schools' success in meeting national expectations. This monograph reports and interprets trends in NAEP…

Descriptors: Student Evaluation, National Competency Tests, Mathematics Tests, Educational Testing