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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

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

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

Murata, Aki; Stewart, Chana – Teaching Children Mathematics, 2017

Effective use of mathematical representation is key to supporting student learning. In "Principles to Actions: Ensuring Mathematical Success for All" (NCTM 2014), "use and connect mathematical representations" is one of the effective Mathematics Teaching Practices. By using different representations, students examine concepts…

Descriptors: Elementary School Mathematics, Elementary School Students, Grade 1, Mathematics Instruction

Bush, Sarah B.; Karp, Karen S.; Lentz, Tova; Nadler, Jennifer – Teaching Children Mathematics, 2017

Many elementary schools across the nation are scaling back or cutting arts curriculum altogether. This article presents classroom teachers with an activity for integrating art with mathematics. Through a three-phase exploration of reasoning with shapes and their attributes, students will get to know a classmate better, work with defining and…

Descriptors: Elementary School Students, Elementary School Mathematics, Art Education, Integrated Activities

Earnest, Darrell; Radtke, Susan; Scott, Siri – Teaching Children Mathematics, 2017

In this article, the authors first present the Hands Together! task. The mathematics in this problem concerns the relationship of hour and minute durations as reflected in the oft-overlooked proportional movements of the two hands of an analog clock. The authors go on to discuss the importance of problem solving in general. They then consider…

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

Turrou, Angela Chan; Franke, Megan L.; Johnson, Nicholas – Teaching Children Mathematics, 2017

The students in Ms. Moscoso's second-grade class gather on the rug after recess, ready for one of their favorite math warm-ups: Choral Counting. Counting is an important part of doing mathematics throughout the school; students count collections (Schwerdtfeger and Chan 2007) and solve problems using a variety of strategies, many of which are…

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

Bray, Wendy S.; Blais, Tanya Vik – Teaching Children Mathematics, 2017

When asked to determine the number of tens in twenty-five, most second graders who have had instruction on place value can quickly provide the correct answer of two. However, when asked to show how the numeral 2 is represented in a set of twenty-five objects, many children struggle to draw a connection between the digit 2 and twenty objects in the…

Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 2, Mathematical Concepts

Firmender, Janine M.; Casa, Tutita M.; Colonnese, Madelynn W. – Teaching Children Mathematics, 2017

Local teachers have been working with their colleagues and math coach for years on ensuring that oral discourse during their mathematics classes has them acting as a facilitator and allowing students themselves to make sense of the mathematics. Specifically, their discussions are aimed at having students reason mathematically because discourse and…

Descriptors: Elementary School Mathematics, Logical Thinking, Mathematics Instruction, Expository Writing

Lomax, Kendra; Alfonzo, Kristin; Dietz, Sarah; Kleyman, Ellen; Kazemi, Elham – Teaching Children Mathematics, 2017

The goals of problem-solving activities in the elementary grades often include making sense of story problems, developing a range of strategies, and reaching accurate solutions. These are important mathematical aims, but they do not fully address the demands of modeling with mathematics as described in the fourth of the Common Core's eight…

Descriptors: Elementary School Mathematics, Elementary School Students, Primary Education, Problem Solving