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Switzer, J. Matt – Teaching Children Mathematics, 2016

National Council of Teachers of Mathematics' (NCTM's) "Principles to Actions: Ensuring Mathematical Success for All" outlines eight teaching practices for effective teaching and learning of mathematics (NCTM 2014). One of the teaching practices, "elicit and use evidence of student thinking," states, "Effective teaching of…

Descriptors: Mathematics Instruction, Teaching Methods, Thinking Skills, Mathematical Logic

Bulut, Aykut; Isiksal-Bostan, Mine – Journal of Computers in Mathematics and Science Teaching, 2019

According to the principles of the National Council of Teachers of Mathematics [NCTM, 2000], teaching mathematics needs well equipped teachers in terms of knowledge because of its complex structure. Moreover, teachers' knowledge and technology are an important issue to build up and enhance students' learning. Qualified teachers should know how and…

Descriptors: Geometry, Mathematics Instruction, Preservice Teachers, Mathematics Teachers

Actuarial Foundation, 2013

"Setting the Stage with Geometry" is a new math program aligned with the National Council of Teachers of Mathematics (NCTM) standards that is designed to help students in grades 6-8 build and reinforce basic geometry skills for measuring 2D and 3D shapes. Developed by The Actuarial Foundation, this program seeks to provide skill-building math…

Descriptors: Mathematics Instruction, Mathematics Skills, Class Activities, Mathematics Activities

Suzuka, Kara; Venenciano, Linda – Mathematics Teacher, 2019

Fragile understanding is where new learning begins. Students' understanding of new concepts is often shaky at first, when they have only had limited experiences with or single viewpoints on an idea. This is not inherently bad. Despite teachers' best efforts, students' tenuous grasp of mathematics concepts often falters with time or when presented…

Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Misconceptions

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

Hoosain, Emam – Online Submission, 2010

Measurement is an integral component of the PK-12 mathematics curriculum. At various grade levels, much attention is given to the areas of geometric shapes. However, there is research evidence that measurement is problematic for US students. In this paper, the merits and demerits of two possible sequences (conventional and alternative) in teaching…

Descriptors: Mathematics Curriculum, Mathematics Education, Geometric Concepts, Measurement

Small, Marian – Teachers College Press, 2012

Expanded to include connections to Common Core State Standards, as well as National Council of Teachers of Mathematics (NCTM) standards, this critically acclaimed book will help every teacher and coach to meet the challenges of differentiating mathematics instruction in the K-8 classroom. In this bestseller, math education expert Marian Small…

Descriptors: State Standards, Student Participation, Data Analysis, Mathematics Teachers

Obara, Samuel – Mathematics Teacher, 2010

The inquiry-based approach to learning has gained popularity in recent times. Those who promote this approach maintain that mathematical investigation should be used to engage students. The National Council of Teachers of Mathematics (NCTM) recommends that problem solving be the center of mathematics teaching in promoting student learning through…

Descriptors: Inquiry, Active Learning, Mathematics Instruction, Investigations

Safi, Farshid; Desai, Siddhi – Mathematics Teaching in the Middle School, 2017

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014) gives teachers access to an insightful, research-informed framework that outlines ways to promote reasoning and sense making. Specifically, as students transition on their mathematical journey through middle school and beyond, their knowledge and use of…

Descriptors: Mathematics Instruction, Middle School Students, Algebra, Arithmetic

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Swarthout, Mary – Teaching Children Mathematics, 2003

Presents the Shape Search problem to develop student visualization. Focuses attention on the National Council of Teachers of Mathematics (NCTM) Geometry Standard. (Author/NB)

Descriptors: Elementary Education, Geometric Concepts, Geometry, Mathematics Activities

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

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

Copley, Juanita V. – National Association for the Education of Young Children, 2010

This second edition of the bestselling book "The Young Child and Mathematics" reflects recent developments in math education in a wealth of vignettes from classrooms, activity ideas, and strategies for teaching young children about math processes and concepts. Using standards and guidelines from the National Council of Teachers of Mathematics…

Descriptors: Young Children, Early Childhood Education, Curriculum, Mathematics

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