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Walter, Hope A. – Teaching Children Mathematics, 2018

Discourse in mathematics classrooms has been at the forefront of mathematics reform for years. Of the eight NCTM Mathematics Teaching Practices, four relate specifically to the use of discussion, questioning, and the analysis of student thinking that is based on discourse. As an answer to the demand for discourse within many mathematics classroom,…

Descriptors: Mathematics Instruction, Classroom Communication, Learner Engagement, Academic Discourse

Peña, Jesica; Cortina, José Luis; Višnovská, Jana – Teaching Children Mathematics, 2018

This article describes how a teacher in Mexico City worked with two researchers on an instructional design project to help kindergartners become proficient in participating in whole-class mathematical conversations.

Descriptors: Foreign Countries, Kindergarten, Preschool Teachers, Mathematics Instruction

Ding, Meixia – Teaching Children Mathematics, 2018

Tape diagrams, also known as strip diagrams, bar models, fraction strips, or length models, are linear representations that can be used to effectively model quantitative relationships during problem solving. Tape diagrams are a powerful model recommended by the Common Core, but they are relatively new to teachers and students in the United States.…

Descriptors: Foreign Countries, Mathematics Instruction, Elementary School Mathematics, Grade 2

Whitacre, Ian; Schoen, Robert C.; Champagne, Zachary; Goddard, Andrea – Teaching Children Mathematics, 2017

Data (Schoen et al. 2016) suggests that because many students' understanding of subtraction is limited by thinking about the operation only as take-away or by using a default procedure, such as the standard subtraction algorithm in the United States, second graders are much more likely to solve 100 minus 3 correctly than 201 minus 199. This…

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

Barlow, Angela T.; Lischka, Alyson E.; Willingham, James C.; Hartland, Kristin S. – Teaching Children Mathematics, 2017

This article describes a process called "Backing Up" which is a way to preassess student understanding of a topic and gauge student readiness to move forward in the learning process. This process of backing up begins with using responses to a word problem to identify categories of students' understandings in relation to the expectations…

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

Adams, Anne E.; Ely, Rob; Yopp, David – Teaching Children Mathematics, 2017

The twenty-first century has seen an increased call to train students to craft mathematical arguments. The third of the Common Core's (CCSS) Standards for Mathematical Practice (SMP 3) (CCSSI 2010) calls for all mathematically proficient students to "construct viable arguments" to support the truth of their ideas and to "critique…

Descriptors: Mathematics Instruction, Persuasive Discourse, Teaching Methods, Common Core State Standards

Thomas, Amanda – Teaching Children Mathematics, 2017

Increasing availability of digital devices in elementary school classrooms presents exciting new opportunities for teachers to support the teaching and learning of mathematics. Although many of the math applications available for these devices focus on drill and practice of mathematical procedures, screencasting apps can help support effective…

Descriptors: Teaching Methods, Vignettes, Elementary School Mathematics, Mathematical Applications

Billings, Esther M. H. – Teaching Children Mathematics, 2017

Arithmetic is a major mathematical focus in elementary school curriculum, and researchers such as Mason (2008) claim that "algebraic thinking is required in order to make sense of arithmetic" (p. 58). When adding, subtracting, multiplying, and dividing, learners must rely on a small set of fundamental properties also important for the…

Descriptors: Algebra, Thinking Skills, Mathematics Instruction, Arithmetic

Keazer, Lindsay; Gerberry, Carla – Teaching Children Mathematics, 2017

Imagine a mathematics classroom in which students engage in sharing ideas and reasoning through solutions to interesting mathematical problems. They are excited about mathematics and working on challenging problems that encourage collaboration and critical thinking. These are things that teachers want, but sometimes they do not know how to achieve…

Descriptors: Common Core State Standards, Mathematics Education, Problem Solving, Persistence

Wasserman, Nicholas H. – Teaching Children Mathematics, 2017

As a parent, the author stepped into his child's class on a Friday morning to a room buzzing with activity. Parents walked around the room, coffee and bagel in hand, reading stories that their child (and others) had drafted, revised, written, and illustrated. Students eagerly shared their stories and drawings, cherishing the comments and praise…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 2, Elementary School Students

Gresham, Gina; Shannon, Tracy – Teaching Children Mathematics, 2017

Mathematics discourse is a teaching approach that encourages student discussion and reveals an understanding of concepts as students engage in mathematical reasoning and debate (Cobb 2006). Grabowski and Ke (2007) posit that students have significantly higher achievement and positive attitudes toward mathematics after participating in gaming…

Descriptors: Grade 1, Elementary School Mathematics, Mathematics Skills, Mathematics Achievement

Hodges, Thomas E.; Johnson, Malisa; Roy, George J. – Teaching Children Mathematics, 2017

Children's intuitive understandings of mathematical ideas--both correct, generalizable strategies alongside misconceptions--showcase the complexity of their thinking. However, recognizing children as complex thinkers is one thing but it is another thing altogether to leverage their ideas to plan for and carry out mathematics instruction. The…

Descriptors: Grade 4, Elementary School Students, Elementary School Mathematics, Mathematics Instruction

McCormick, Kelly K.; Twitchell, Guinevere – Teaching Children Mathematics, 2017

Young children thrive in classrooms that allow them to explore and discover their environment and interests and also support them in this learning. Because children learn best when they are interested and excited, early-childhood educators should offer children play-based, integrated mathematical experiences (NRC 2009). In this article, the…

Descriptors: Investigations, Active Learning, Student Projects, Preschool Children

Bahr, Damon L.; Bahr, Kim – Teaching Children Mathematics, 2017

Many teachers try to engage their students in meaningful mathematical discussions in which one or more students share their thinking about a problem while the other students are expected to listen and learn from the sharing. Indeed, such discussions can help students learn from one another and promote high levels of mathematical proficiency.…

Descriptors: Mathematics Instruction, Discussion (Teaching Technique), Mathematics Teachers, Learner Engagement

Bates, Meg S.; Moran, Cheryl G.; Phalen, Lena – Teaching Children Mathematics, 2017

Teachers face many challenges helping students meet the expectations set forth in the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010). CCSSM content standards not only introduce new concepts at each grade level but also require teachers to learn new terminology for old concepts and consider how students' understanding of concepts…

Descriptors: Common Core State Standards, Mathematics Education, Mathematics Instruction, Teaching Methods