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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
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
Brooks, Lisa A. – Teaching Children Mathematics, 2017
Recognizing the challenges that students face when they may lack background and experiential knowledge with regard to coins is important so that teachers can address this during instruction. Exposure to coins is one of the basic necessities to learning about the coins, but that is just the initial part of the learning sequence. Unless students are…
Descriptors: Mathematics Instruction, Manipulative Materials, Teaching Methods, Mathematical Concepts
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
Zeybek, Zulfiye; Cross Francis, Dionne I. – Teaching Children Mathematics, 2017
Measurement is an important component of K-grade 12 mathematics curricula. The concepts of area and perimeter of polygons are first introduced in third grade and serve as the basis for teaching in the upper grades. Without a strong understanding of measurement, students will struggle to meaningfully grasp three-dimensional measurement concepts…
Descriptors: Elementary School Teachers, Elementary School Students, Elementary School Mathematics, Mathematics Instruction
Barlow, Angela T.; Duncan, Matthew; Lischka, Alyson E.; Hartland, Kristin S.; Willingham, J. Christopher – Teaching Children Mathematics, 2017
When presented with a problem in mathematics class, students often function as problem performers rather than problem solvers (Rigelman 2007). That is, rather than understanding the problem, students focus on using an operation to complete it. Students' tendencies to act as problem performers can prevent them from suggesting problem-solving…
Descriptors: Problem Solving, Learning Strategies, Mathematics Education, Scaffolding (Teaching Technique)
Perry, Rebecca R.; Lewis, Catherine C. – Teaching Children Mathematics, 2017
The authors recently conducted a randomized controlled trial that showed a significant impact of teachers' lesson study, supported by mathematical resources, on both teachers' and students' understanding of fractions. The research and mathematical resources are described in the second part of this article. First the authors examine some of the…
Descriptors: Randomized Controlled Trials, Mathematics Instruction, Fractions, Mathematical Concepts
Bleiler-Baxter, Sarah K.; Stephens, D. Christopher; Baxter, Wesley A.; Barlow, Angela T. – Teaching Children Mathematics, 2017
The goal in this article is to support teachers in better understanding what it means to model with mathematics by focusing on three key decision-making processes: Simplification, Relationship Mapping, and Situation Analysis. The authors use the Theme Park task to help teachers develop a vision of how students engage in these three decision-making…
Descriptors: Mathematics Instruction, Decision Making, Teaching Methods, Elementary School Mathematics
McCormick, Kelly K.; Essex, N. Kathryn – Teaching Children Mathematics, 2017
This article reports on a study in which researchers asked children to "make up as story and a picture about marbles for this number sentence: 3 x 5 = 15." Students in this study came from pre - dominantly low- to average-income families living in three distinct geographical areas within the United States. A similar division task was…
Descriptors: Mathematics Instruction, Multiplication, Arithmetic, Elementary School Students
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