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Ebby, Caroline B.; Hulbert, Elizabeth T.; Fletcher, Nicole – Teaching Children Mathematics, 2019

Assessing student learning traditionally involves determining whether students can solve a certain percentage of problems correctly, under the assumption that this achievement indicates they have the knowledge and understanding they need to progress to new topics. This article explores what teachers can learn from looking closely at student…

Descriptors: Mathematics Instruction, Problem Solving, Mathematical Logic, Learning Processes

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)

Hunt, Jessica H.; MacDonald, Beth; Lambert, Rachel; Sugita, Trisha; Silva, Juanita – Teaching Children Mathematics, 2018

Anticipating and responding to learner variability can make using talk moves complex. The authors fuse Universal Design for Learning (UDL), differentiation, and talk moves into three key planning and pedagogy considerations.

Descriptors: Mathematics Instruction, Teaching Methods, Access to Education, Individualized Instruction

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

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

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

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

Clements, Douglas H.; Fuson, Karen C.; Sarama, Julie – Teaching Children Mathematics, 2017

Teachers are on the front line in any educational controversy. Increasingly, some bloggers, newspaper articles, and other media have criticized the Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) as being inappropriate for children in kindergarten and first grade. However, both research and expert practice reveal that children are…

Descriptors: Mathematics Instruction, Developmentally Appropriate Practices, Preschool Education, Preschool Children

Russell, R. Alan – Teaching Children Mathematics, 2017

Paper folding is an easy and inexpensive way to engage students artistically, culturally, and mathematically. The pinwheel base is the source for many origami playthings, from a pinwheel to a boat to a butterfly. This article explores a fourth grade activity that repurposes the pinwheel base into a rich and inexpensive manipulative for the review…

Descriptors: Mathematics Instruction, Teaching Methods, Manipulative Materials, Grade 4

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