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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

Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2016

The "Building a System of Tens Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation of specific mathematical…

Descriptors: Mathematics Instruction, Seminars, Case Method (Teaching Technique), Mathematical Concepts

Hirsch, Christian R., Ed.; McDuffie, Amy Roth, Ed. – National Council of Teachers of Mathematics, 2016

Mathematical modeling plays an increasingly important role both in real-life applications--in engineering, business, the social sciences, climate study, advanced design, and more--and within mathematics education itself. This 2016 volume of "Annual Perspectives in Mathematics Education" ("APME") focuses on this key topic from a…

Descriptors: Mathematics Education, Mathematical Models, Mathematics Instruction, STEM Education

Olson, Travis A.; Olson, Melfried; Slovin, Hannah – National Council of Teachers of Mathematics, 2015

Do your students think they can model ratios with sets of discrete objects and combine them to show the addition of ratios? Do they believe that equivalent ratios are based on additive relationships rather than multiplicative ones? What tasks can you offer what questions can you ask to determine what your students know or don't know and move them…

Descriptors: Mathematics Instruction, Mathematical Concepts, Pedagogical Content Knowledge, Grade 6

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

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

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

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

Collins, Anne – National Council of Teachers of Mathematics, 2011

Linking assessment to everyday classroom instruction requires a shift in both thinking and practice. For many, the term "assessment" simply means "grade". "Using Classroom Assessment to Improve Student Learning" shows how teachers can move away from using tests, letter or numerical grades, or passing or failing as evidence of student learning to…

Descriptors: Student Evaluation, Formative Evaluation, State Standards, Classroom Environment

Jansen, Amanda; Middleton, James – National Council of Teachers of Mathematics, 2011

This book is designed to be the go-to source for information on mathematical motivation. It presents the full body of research on motivation in a useful, interesting, and provocative matter.

Descriptors: Student Motivation, Learner Engagement, Mathematics Instruction, Educational Strategies

Blanton, Maria; Levi, Linda; Crites, Terry; Dougherty, Barbara; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2011

Like algebra at any level, early algebra is a way to explore, analyze, represent, and generalize mathematical ideas and relationships. This book shows that children can and do engage in generalizing about numbers and operations as their mathematical experiences expand. The authors identify and examine five big ideas and associated essential…

Descriptors: Algebra, Mathematics Instruction, Intermediate Grades, Thinking Skills

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

National Council of Teachers of Mathematics, 2011

"Focus in Grade 2: Teaching with Curriculum Focal Points" describes and illustrates learning paths for the mathematical concepts and skills of each grade 2 Focal Point as presented in 'Curriculum Focal Points for Prekindergarten through Grade 8 Mathematics". It includes representational supports for teaching and learning that can facilitate…

Descriptors: Mathematics Curriculum, Mathematical Concepts, Grade 2, Misconceptions

Karp, Karen; Caldwell, Janet; Zbiek, Rose Mary; Bay-Williams, Jennifer – National Council of Teachers of Mathematics, 2011

What is the relationship between addition and subtraction? How do individuals know whether an algorithm will always work? Can they explain why order matters in subtraction but not in addition, or why it is false to assert that the sum of any two whole numbers is greater than either number? It is organized around two big ideas and supported by…

Descriptors: Subtraction, Mathematics Instruction, Addition, Mathematical Concepts