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Howse, Tashana D.; Howse, Mark E. – Teaching Children Mathematics, 2014

Geometry is the branch of mathematics that addresses spatial sense and geometric reasoning. Students begin to understand geometry through direct interaction with their physical world. Because it is the study of the physical attributes of the environment, geometry has relevance for every student; the world becomes a big classroom. As students see,…

Descriptors: Mathematics Instruction, Geometry, Geometric Concepts, Mathematics Activities

Small, Marian; Lin, Amy – Teachers College Press, 2010

Teachers know that Differentiated Instruction (DI) helps all students to learn. Yet DI challenges teachers, and nowhere more than in mathematics. In this new book, written specifically for secondary mathematics teachers, the authors cut through the difficulties with two powerful and universal strategies that teachers can use across all math…

Descriptors: Mathematics Education, Student Participation, Data Analysis, Mathematics Teachers

Prasad, Priya V. – Mathematics Teaching in the Middle School, 2016

How can we, as teachers, encourage students to move from drawing geometric objects to constructing them and thereby build their mathematical reasoning skills? One way to encourage students to construct instead of draw shapes and to help students develop more robust understandings of geometric relationships and constructions is to use interactive…

Descriptors: Middle School Students, Middle School Teachers, Mathematics, Mathematics Education

Paoletti, Teo J. – Mathematics Teacher, 2013

To engage students, many teachers wish to connect the mathematics they are teaching to other branches of mathematics or to real-world applications. The lesson presented in this article, which uses the algebraic skill of finding the equation of a line between two points and the geometric axiom that any two points define a line, does both. A…

Descriptors: Mathematics Instruction, Relevance (Education), Algebra, Mathematics Skills

Ichinose, Cherie Lynn; Martinez-Cruz, Armando M. – Mathematics Teacher, 2018

The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) propose a new vision for the mathematics classroom with updated content standards and Standards for Mathematical Practice (SMP). These practices are founded on NCTM processes (Problem Solving, Reasoning and Proof, Communication, Representation, and Connections) and abilities…

Descriptors: Mathematics Instruction, Teaching Methods, Problem Solving, Common Core State Standards

Keazer, Lindsay M.; Menon, Rahul S. – Mathematics Teacher, 2015

This article argues that the practices of reasoning and sense making are critical for developing students' mathematical literacy. Seven mathematics teachers collaborated throughout a school year to discuss the ideas proposed in Reasoning and Sense Making (NCTM 2009) and put them into practice through action research. Conducting action research,…

Descriptors: Mathematics Instruction, Mathematics Teachers, Mathematical Logic, Teacher Collaboration

Cetner, Michelle – Mathematics Teacher, 2015

When thinking about student reasoning and sense making, teachers must consider the nature of tasks given to students along with how to plan to use the tasks in the classroom. Students should be presented with tasks in a way that encourages them to draw connections between algebraic and geometric concepts. This article focuses on the idea that it…

Descriptors: Mathematics Instruction, Teaching Methods, 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

McNamara, Timothy J. – Corwin Press, 2006

Helping teachers envision how math standards can be integrated into the secondary classroom, this book presents engaging activities and ready-to-use lessons aligned with NCTM content and process standards. This user-friendly book by mathematics educator Timothy J. McNamara is filled with a generous collection of lessons for each of the ten NCTM…

Descriptors: Probability, Elementary Secondary Education, Data Analysis, Graphing Calculators