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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
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
Cai, Jinfa, Ed. – National Council of Teachers of Mathematics, 2017
This volume, a comprehensive survey and critical analysis of today's issues in mathematics education, distills research to build knowledge and capacity in the field. The compendium is a valuable new resource that provides the most comprehensive evidence about what is known about research in mathematics education. The 38 chapters present five…
Descriptors: Mathematics Education, Educational Research, Educational Trends, Trend Analysis
Muschla, Judith A.; Muschla, Gary Robert; Muschla, Erin – Jossey-Bass, An Imprint of Wiley, 2012
The new Common Core State Standards for Mathematics have been formulated to provide students with instruction that will help them acquire a thorough knowledge of math at their grade level, which will in turn enable them to move on to higher mathematics with competence and confidence. "Hands-on Activities for Teaching the Common Core Math…
Descriptors: State Standards, Mathematics Instruction, Academic Standards, Experiential Learning
Polly, Drew, Ed. – IGI Global, 2015
Common Core education standards establish a clear set of specific ideas and skills that all students should be able to comprehend at each grade level. In an effort to meet these standards, educators are turning to technology for improved learning outcomes. "Cases on Technology Integration in Mathematics Education" provides a compilation…
Descriptors: Technology Integration, Mathematics Instruction, Educational Technology, Spreadsheets
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

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