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Lamm, Millard W.; Pugalee, David K. – Teaching Children Mathematics, 2010

Proportional reasoning is perhaps one of the most important types of mathematical thinking for elementary school students to develop. It includes aspects of rational numbers, spans the entire mathematics curriculum, and is a significant foundation for mathematical proficiency. Understanding students' use of proportional reasoning is a basis on…

Descriptors: Mathematics Curriculum, Elementary School Students, Textbooks, Numbers

Kinman, Robin Lynn – Teaching Children Mathematics, 2010

When the author recently turned her attention to the National Council of Teachers of Mathematics (NCTM) "Principles and Standards," she was startled to see communication as key. She adjusted her teaching to meet the NCTM Communication Standard and promote communication in her classroom by providing a safe environment, developing discourse and…

Descriptors: Metacognition, Mathematics Instruction, Teaching Methods, Interpersonal Communication

Marshall, Anne Marie; Superfine, Alison Castro; Canty, Reality S. – Teaching Children Mathematics, 2010

Ms. Beyer's first graders have been working for several weeks on solving problems that encourage the use of such multiple representations as ten frames and number lines. The class is using Math Trailblazers, a National Science Foundation-supported elementary school math curriculum developed to reflect recent reform efforts in mathematics…

Descriptors: Educational Strategies, Mathematics Instruction, Elementary School Mathematics, Grade 1

Bostic, Jonathan; Jacobbe, Tim – Teaching Children Mathematics, 2010

Fourteen fifth-grade students gather at the front of the classroom as their summer school instructor introduces Jonathan Bostic as the mathematics teacher for the week. Before examining any math problems, Bostic sits at eye level with the students and informs them that they will solve problems over the next four days by working individually as…

Descriptors: Problem Solving, Mathematics Teachers, Mathematics Instruction, Elementary School Mathematics

Fillingim, Jennifer G.; Barlow, Angela T. – Teaching Children Mathematics, 2010

Mathematics educators promote student engagement in the Process Standards and create problem-solving tasks and facilitate discussions to help their students develop strengths in explaining their methods, using and interpreting multiple representations, and making connections between topics. They are excited and encouraged when they see students…

Descriptors: Mathematics Instruction, Problem Solving, Elementary School Mathematics, Student Participation

Bray, Wendy S.; Abreu-Sanchez, Laura – Teaching Children Mathematics, 2010

One mathematical focus for third graders is to develop deep understanding of fractions and fraction equivalence, including comparing fractions through use of models and reasoning strategies. Before reading further, consider how you might solve the following problem: Which fraction is greater, 14/24 or 17/36? The initial impulse of many adults is…

Descriptors: Grade 3, Mathematics Instruction, Thinking Skills, Elementary School Mathematics

Barlow, Angela T. – Teaching Children Mathematics, 2010

"The World Is Flat" (Friedman 2005) describes the globalization that advances in technology have imposed on the world economy in recent decades. For the U.S. to maintain its stature in the world, future citizens must be prepared to problem solve and apply their skills to new situations. These future citizens are sitting in elementary school…

Descriptors: Problem Solving, Teaching Methods, Word Problems (Mathematics), Mathematics Instruction

Schwartz, James E. – Teaching Children Mathematics, 2010

The "flat" world described by Friedman (2006) is one of global supply chains and economic networks, outsourcing, international personal entrepreneurial opportunities, and nearly unlimited, universal information availability. American children will inherit a world in which their competition and opportunities are international. In light of these…

Descriptors: Mathematics Curriculum, Mathematical Concepts, Mathematics Instruction, Mathematical Logic

Fung, Maria G.; Latulippe, Christine L. – Teaching Children Mathematics, 2010

Elementary school teachers are responsible for constructing the foundation of number sense in youngsters, and so it is recommended that teacher-training programs include an emphasis on number sense to ensure the development of dynamic, productive computation and estimation skills in students. To better prepare preservice elementary school teachers…

Descriptors: Preservice Teachers, Number Systems, Mathematics Teachers, Elementary School Teachers

Wohlhuter, Kay A.; Breyfogle, M. Lynn; McDuffie, Amy Roth – Teaching Children Mathematics, 2010

Developing deep knowledge and understanding of mathematics is a lifelong process, and building the foundation for teachers' development must begin in preservice preparation and continue throughout one's professional life. While teaching mathematics content courses and methods courses, the authors have found that preservice elementary school…

Descriptors: Preservice Teachers, Methods Courses, Mathematics Education, Elementary School Teachers

Darley, Joy W.; Leapard, Barbara B. – Teaching Children Mathematics, 2010

Algebraic thinking is a top priority in mathematics classrooms today. Because elementary school teachers lay the groundwork to develop students' capacity to think algebraically, it is crucial for teachers to have a conceptual understanding of the connections between arithmetic and algebra and be confident in communicating these connections. Many…

Descriptors: Preservice Teachers, Elementary School Teachers, Arithmetic, Algebra

Cady, Jo Ann; Hodges, Thomas E.; Brown, Clara Lee – Teaching Children Mathematics, 2010

English Language Learners (ELLs) have an increasing presence in the nations' classrooms. From 1991 to 2004 the number of ELLs nearly doubled in grades K-12. Furthermore, new forms of accountability have school personnel concerned with the progress--or lack of progress--of the ELLs. "Principles and Standards" also reflects this concern: The Equity…

Descriptors: Classroom Environment, Elementary School Mathematics, Algebra, Second Language Learning

Martin, W. Gary; Kasmer, Lisa – Teaching Children Mathematics, 2010

In late 2009, the National Council of Teachers of Mathematics released "Focus in High School Mathematics: Reasoning and Sense Making" (NCTM 2009). This new NCTM policy publication is designed to offer guidance for high school mathematics teachers in providing focus and coherence that parallels what "Curriculum Focal Points for Prekindergarten…

Descriptors: High Schools, Secondary School Mathematics, Mathematics Teachers, Mathematics Instruction

Steckroth, Jeffrey J. – Teaching Children Mathematics, 2010

For nearly three decades, during which the author taught everything from basic algebra to advanced placement calculus, the author thought of himself as a secondary school mathematics teacher. The notion of teaching elementary school math never appealed to him because of its simplicity. The author stresses that anyone could teach children to count,…

Descriptors: Secondary School Mathematics, Elementary School Mathematics, Advanced Placement, Mathematics Teachers

Sellers, Patricia A. – Teaching Children Mathematics, 2010

The fourth graders were ready to learn long division; however, their teachers were hesitant to begin the unit--just as they are every year. In a grade-level meeting with the school's math consultant, the teachers voiced their typical concerns. The math consultant was a university mathematics education professor spending a semester of sabbatical…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Elementary School Students, Problem Solving