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Freeburn, Ben; Arbaugh, Fran – Mathematics Teacher, 2017

"Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014, p. 10) contains eight research-informed teaching practices that have been shown to support students' mathematical thinking and learning. Two teaching practices highlighted herein are "to elicit and use evidence of students' thinking" and "support…

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

McDowell, Eric L. – Mathematics Teacher, 2016

By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…

Descriptors: Fractions, Number Systems, Number Concepts, Numbers

Özgün-Koca, S. Asli – Mathematics Teacher, 2016

The Common Core State Standards (CCSSI 2010) and NCTM's (2014) "Principles to Actions" agree that "for meaningful learning of mathematics, tools and technology must be indispensable features of the classroom . . . that support students in exploring mathematics as well as in making sense of concepts and procedures and engaging in…

Descriptors: Mathematics Instruction, Technology Uses in Education, Educational Technology, Mathematical Concepts

Manizade, Agida G.; Mason, Marguerite M. – Mathematics Teacher, 2014

A mathematics classroom that reflects the vision of NCTM's "Principles and Standards for School Mathematics" will have the teacher posing problems, asking questions that build on students' thinking, and encouraging students to explore different solutions. In teaching about area, it is not sufficient to give students the…

Descriptors: Geometric Concepts, State Standards, Academic Standards, Problem Solving

Ellis, Mark W.; Bryson, Janet L. – Mathematics Teacher, 2011

The absolute value learning objective in high school mathematics requires students to solve far more complex absolute value equations and inequalities. When absolute value problems become more complex, students often do not have sufficient conceptual understanding to make any sense of what is happening mathematically. The authors suggest that the…

Descriptors: Mathematics Instruction, Equations (Mathematics), Teaching Methods, Secondary School Mathematics

Kotsopoulos, Donna – Mathematics Teacher, 2008

This article introduces readers to various examples of discourse analysis in mathematics education. Highlighted is interactional sociolinguistics, used in a present study to investigate peer discourse in a middle-school setting. Key findings from this study include the benefits of video modeling as a mechanism for fostering inclusive peer group…

Descriptors: Mathematics Education, Sociolinguistics, Modeling (Psychology), Discourse Analysis