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Showing 1 to 15 of 34 results Save | Export
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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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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
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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 – 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
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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
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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
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Wiles, Peter; Lemon, Travis; King, Alessandra – Mathematics Teaching in the Middle School, 2019
Middle school students are faced with a number of mathematical concepts that require new forms of reasoning. Although the shifts toward proportional and algebraic reasoning are often emphasized in middle school curricula, changes in the nature of geometric reasoning are not always given the same weight. As highlighted in "Catalyzing Change in…
Descriptors: Middle School Students, Middle School Mathematics, Mathematics Instruction, Geometry
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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Askey, Richard; Matsuura, Ryota; Sword, Sarah – Mathematics Teacher, 2015
NCTM's Connections Standard recommends that students in grades 9-12 "develop an increased capacity to link mathematical ideas and a deeper understanding of how more than one approach to the same problem can lead to equivalent results, even though the approaches might look quite different" (NCTM 2000, p. 354). In this article, the authors…
Descriptors: Arithmetic, Geometry, Mathematics Instruction, Mathematical Concepts
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Cullen, Craig J.; Hertel, Joshua T.; John, Sheryl – Mathematics Teacher, 2013
The NCTM Algebra Standard suggests that students use technology to explore the effects of varying the parameters in y = ax2 + bx + c. This article discusses an extension of this task that incorporates dynamic geometry software to engage students in generating, testing, and proving mathematical conjectures.
Descriptors: Algebra, Academic Standards, Geometry, Computer Software
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Zahner, William; Dent, Nick – Mathematics Teacher, 2014
Sometimes a student's unexpected solution turns a routine classroom task into a real problem, one that the teacher cannot resolve right away. Although not knowing the answer can be uncomfortable for a teacher, these moments of uncertainty are also an opportunity to model authentic problem solving. This article describes such a moment in Zahner's…
Descriptors: Problem Solving, Mathematics Skills, Mathematics Education, Mathematics Instruction
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