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Wood, Marcy B.; Sheldon, James; Felton-Koestler, Mathew D.; Oslund, Joy; Parks, Amy Noelle; Crespo, Sandra; Featherstone, Helen – Teaching Children Mathematics, 2019

Thinking about students in terms of participation instead of "high" or "low" achievers is more than replacing one term with another; it encourages us to shift our focus to student activity as well as barriers to and supports for productive activity. It encourages us to create classroom spaces that draw on student strengths and…

Descriptors: Mathematics Instruction, Equal Education, Classroom Environment, Student Centered Learning

Huinker, DeAnn – Teaching Children Mathematics, 2019

Mathematics education at the high school level is not working for many students. Although there has been steady improvement in mathematics learning at the elementary and middle school levels across the United States, for the past decade, student achievement has remained essentially flat at the high school level (NCES 2015, 2016). One possible…

Descriptors: Mathematics Instruction, Learner Engagement, Elementary School Mathematics, Elementary School Students

Batista, Lisa Nguyen; Chapin, Suzanne H. – Teaching Children Mathematics, 2019

Classroom discourse is critical to helping students learn mathematics. Interacting with peers and the teacher within a classroom community assists students in building their understanding of mathematical concepts. A discourse community, sometimes referred to as a math-talk learning community, is "a classroom community in which the teacher and…

Descriptors: Discourse Communities, Mathematics Instruction, Mathematical Concepts, Mathematics Teachers

Shumway, Jessica F.; Hoggan, Jessica – Teaching Children Mathematics, 2019

The standards from the Operations and Algebraic Thinking (OA) domain in the Common Core State Standards for Mathematics (CCSSM) build on one another across the grades (CCSSI 2010). Understanding each grade level's OA standards is necessary within the broader context of the K-grade 5 OA standards. In this article, the authors share their…

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

Ryan, Laura E.; Dietiker, Leslie – Teaching Children Mathematics, 2018

One way to recognize how mathematical lessons can be stimulating for children is to interpret them as stories. If mathematical lessons follow a structure similar to that of a story, they can build anticipation, create surprise, and even generate intrigue (Egan 1988). To support the design of mathematical lessons with these types of aesthetic…

Descriptors: Mathematics Instruction, Teaching Methods, Aesthetics, Grade 5

Russo, James A. – Teaching Children Mathematics, 2018

Three-in-a-Row Lucky Numbers is an engaging, enjoyable, mathematically meaningful, game-based activity involving dice and a hundred chart, which can be used to introduce students to multiplication. The game provides a mechanism for students to explore the structure of multiplication, experiment with the distributive property, and begin to…

Descriptors: Mathematics Instruction, Multiplication, Educational Games, Teaching Methods

Raisor, Jill M.; Hudson, Rick A. – Teaching Children Mathematics, 2018

Early childhood provides a time of crucial growth in all developmental domains. Prekindergarten is an optimal time for young children to use objects of play as a medium to explore new cognitive concepts, including mathematical structure. Mathematical structure plays an important role in providing students a means to reason about mathematics,…

Descriptors: Early Childhood Education, Mathematics Instruction, Manipulative Materials, Teaching Methods

Wickstrom, Megan H.; Aytes, Tracy – Teaching Children Mathematics, 2018

Mathematical modeling is an important and accessible process for elementary school students because it allows them to use mathematics to engage with the world and consider if and when to use it to help them reason about a situation. It fosters productive struggle and twenty-first-century skills that will aid them throughout their lifetime.

Descriptors: Elementary School Mathematics, Mathematical Models, Computation, Relevance (Education)

Barlow, Angela T.; Watson, Lucy A.; Tessema, Amdeberhan A.; Lischka, Alyson E.; Strayer, Jeremy F. – Teaching Children Mathematics, 2018

The inspection of mistakes can play a powerful role in an individual's learning process (Boaler 2015). The purpose of this article is to support the reader in selecting mistakes that can be leveraged to benefit the learning of all students. Specifically, the authors focus on "which" and "why": "which" mistakes to…

Descriptors: Mathematics Instruction, Teaching Methods, Error Correction, Learning Processes

Thomas, Jonathan N. – Teaching Children Mathematics, 2018

Gesture is a powerful and frequent means of mathematical communication. It is a rich modality through which we may reach out to students and they may reach out to teachers, and this is particularly true for instances in which spoken language is not necessarily a commonality among classroom participants. Indeed, our movements help us share more…

Descriptors: Mathematics Instruction, Mathematics Teachers, Mathematics Activities, Elementary School Mathematics

Martínez, José Manuel; Ramírez, Laura – Teaching Children Mathematics, 2018

When the focus of instruction is on learning to use mathematical tools--such as a ruler or a calculator--as a procedure, students tend not to incorporate their own mathematical reasoning. This unreflective use of tools hinders students' questioning of the reasonableness of their answers. This article describes how children expressed their…

Descriptors: Geometric Concepts, Geometry, Mathematics Instruction, Measurement Equipment

Brickwedde, James – Teaching Children Mathematics, 2018

This article examines the importance of developing the notion of place value as a rate of ten. In exploring how to nurture this concept, the author looks at the role of the language of value, the problem types of multistep multiplication and addition along with measurement division, each with ten as an organizing unit, as well as strategically…

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

Parks, Amy Noelle; Wakabayashi, Tomoko; Hardin, Beth – Teaching Children Mathematics, 2018

In many prekindergarten classes, children begin the day by singing a song as part of their opening routine. In reflecting on opening routines in public prekindergarten classrooms across Michigan, the authors have been struck by how often small changes in teachers' routines or materials could enrich the mathematical engagement of children. The goal…

Descriptors: Mathematics Instruction, Preschool Education, Preschool Children, Teaching Methods

Singer, Bethany; Shafer, Kathryn G. – Teaching Children Mathematics, 2018

Building physical models is a natural activity for children and provides a context for lessons on two-dimensional (2D) and three-dimensional (3D) shapes. However, children do not think of their models as prisms, cylinders, and pyramids. Their creations are spaceships, tunnels, castles, and nets on the floor. Creating these types of shapes with…

Descriptors: Kindergarten, Young Children, Mathematics Education, Mathematics Skills

Baker, Courtney; Knapp, Melinda C.; Galanti, Terrie – Teaching Children Mathematics, 2018

Acknowledging the critical role of mathematics coaches in enhancing teacher capacity, positively influencing teacher beliefs, and increasing teacher investment in professional development, NCTM's "Principles to Actions: Ensuring Mathematical Success for All" (2014) calls on coaches to "take action." However, coaches seek…

Descriptors: Mathematics Instruction, Coaching (Performance), Mathematics Teachers, Teacher Attitudes