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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
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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
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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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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
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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
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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
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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
Jacobbe, Tim – Australian Primary Mathematics Classroom, 2008
According to the National Council of Teachers of Mathematics (NCTM) (1989, 2000), students at all levels should be exposed to geometry and measurement topics. Standards documents have identified the importance of primary school students selecting appropriate units for measurements in one- and two-dimensional space (NCTM 1989, 2000). This paper…
Descriptors: Mathematics Teachers, Mathematics Instruction, Geometry, Measurement
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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
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Roberts, Sally K.; Borum, Viveka O. – Mathematics Teaching in the Middle School, 2012
Students often view mathematics as a set of unrelated facts and procedures and fail to make the connections between and among related topics. One role of a teacher is to help students understand that mathematics is an interrelated discipline. Another role is to assist students in the scaffolding of their knowledge so that they can make connections…
Descriptors: State Standards, Teaching Methods, Mathematics Instruction, Middle Schools
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Bergner, Jennifer A.; Groth, Randall E. – Mathematics Teacher, 2005
This article describes a polyhedra construction project that illustrates how one activity can address several of the mathematics content standards in the NCTM Principles and Standards for School Mathematics.
Descriptors: Mathematics Instruction, Geometric Concepts, Geometry, Academic 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
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Manouchehri, Azita – Mathematics Teacher, 2007
"Principles and Standards for School Mathematics" (NCTM 2000) proposes that mathematics instruction provide opportunities for students to engage in mathematical inquiry and in meaning-making through discourse. Mathematics teachers are encouraged to build on student discoveries in designing subsequent instruction. In this article, the author…
Descriptors: Mathematics Instruction, Inquiry, Mathematics Skills, Mathematical Concepts
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
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Rodrigue, Paulette R.; Robichaux, Rebecca R. – Teaching Children Mathematics, 2010
Sorting shapes and solving riddles develop and advance children's geometric thinking and understanding while promoting mathematical communication, cooperative learning, and numerous representations. This article presents a brief summary of how children develop an understanding of the properties of geometric shapes as well as a description of the…
Descriptors: Preservice Teachers, Cooperative Learning, Geometric Concepts, Geometry