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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
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
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
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
Lee, Mi Yeon; Francis, Dionne Cross – Teaching Children Mathematics, 2016
Measurement comprises an important set of concepts that are fundamental for students to competently navigate and work with objects and structures within their physical environment. Despite their importance, these concepts are difficult for students to grasp, as evidenced by low performance on measurement items on the National Assessment of…
Descriptors: Mathematics Instruction, Mathematical Concepts, Elementary School Teachers, Elementary School Mathematics
Griffin, Linda B. – Teaching Children Mathematics, 2016
Understanding the decimal system is challenging, requiring coordination of place-value concepts with features of whole-number and fraction knowledge (Moloney and Stacey 1997). Moreover, the learner must discern if and how previously learned concepts and procedures apply. The process is complex, and misconceptions will naturally arise. In a…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Concepts, Elementary School Mathematics
Wickstrom, Megan H.; Jurczak, Lindsay M. – Teaching Children Mathematics, 2016
In this article, the authors describe how their first-grade class used the book "Inch by Inch" (Lionni 1960)--the story of an inchworm that escapes from a hungry robin by proving he is useful for measuring--as inspiration for a lesson focused on exploring length measurement through examining the meaning of an inch. The authors designed a…
Descriptors: Mathematics Instruction, Grade 1, Elementary School Mathematics, Books
Boote, Stacy K. – Teaching Children Mathematics, 2016
Students' success with fourth-grade content standards builds on mathematical knowledge learned in third grade and creates a conceptual foundation for division standards in subsequent grades that focus on the division algorithm. The division standards in fourth and fifth grade are similar; but in fourth grade, division problem divisors are only one…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Grade 4, Grade 5