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Lee, Mi Yeon; Francis, Dionne Cross – Teaching Children Mathematics, 2019
Children's literature can provide useful contexts for teaching mathematics. In this article, the authors discuss the use of the children's book "Measuring Penny" (Leedy 1997) to support Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) related to length measurement. The authors first describe three types of misconceptions…
Descriptors: Elementary School Mathematics, Elementary School Students, Mathematics Instruction, Teaching Methods
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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
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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
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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
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Keazer, Lindsay; Gerberry, Carla – Teaching Children Mathematics, 2017
Imagine a mathematics classroom in which students engage in sharing ideas and reasoning through solutions to interesting mathematical problems. They are excited about mathematics and working on challenging problems that encourage collaboration and critical thinking. These are things that teachers want, but sometimes they do not know how to achieve…
Descriptors: Common Core State Standards, Mathematics Education, Problem Solving, Persistence
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Bay-Williams, Jennifer M.; Martinie, Sherri L. – Teaching Children Mathematics, 2015
Many of us embrace the order and beauty in mathematics. The order of operations is an iconic mathematics topic that seems untouchable by time, reform, or mathematical discoveries. Yet, think for a moment about a commonly heard statement in teaching the order of operations: "You work from left to right." At another point in the…
Descriptors: Mathematics Instruction, Teaching Methods, Misconceptions, Mathematical Concepts
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Cramer, Kathleen; Ahrendt, Sue; Monson, Debra; Wyberg, Terry; Colum, Karen – Teaching Children Mathematics, 2017
The Common Core State Standards for Mathematics (CCSSM) (CCSSI 2010) outlines ambitious goals for fraction learning, starting in third grade, that include the use of the number line model. Understanding and constructing fractions on a number line are particularly complex tasks. The current work of the authors centers on ways to successfully…
Descriptors: Common Core State Standards, Mathematics Instruction, Fractions, Numbers
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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
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Fagan, Emily R.; Tobey, Cheryl Rose; Brodesky, Amy R. – Teaching Children Mathematics, 2016
This article introduces the formative assessment probe--a powerful tool for collecting focused, actionable information about student thinking and potential misconceptions--along with a process for targeting instruction in response to probe results. Drawing on research about common student mathematical misconceptions as well as the former work of…
Descriptors: Formative Evaluation, Individualized Instruction, Mathematics, Mathematics Instruction
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Pratt, Sarah S.; Lupton, Tina M.; Richardson, Kerri – Teaching Children Mathematics, 2015
As teachers seek activities to assist students in understanding division as more than just the algorithm, they find many examples of division as fair sharing. However, teachers have few activities to engage students in a quotative (measurement) model of division. Efraim Fischbein and his colleagues (1985) defined two types of whole-number…
Descriptors: Mathematics Instruction, Mathematical Concepts, Color, Teaching Methods
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Hodges, Thomas E.; Rose, Terry D.; Hicks, April D. – Teaching Children Mathematics, 2012
With the implementation of Response to Intervention (RtI) throughout the United States and the strong evidence that validates the use of RtI as a way of supporting struggling students, teachers need ways to understand and reach tier 2 students within their classrooms. One approach to gaining a better understanding of students' misconceptions is…
Descriptors: Response to Intervention, Misconceptions, Questioning Techniques, Teaching Methods
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Lannin, John K.; Chval, Kathryn B. – Teaching Children Mathematics, 2013
As beginning teachers start to recognize the complexity of teaching mathematics in elementary school classrooms and how their new vision for teaching mathematics creates new challenges, they experience discomfort--a healthy awareness that much is to be learned. Brousseau (1997) notes that changes in the roles that are implicitly assigned to the…
Descriptors: Beginning Teachers, Preservice Teachers, Mathematics Instruction, Student Role
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Barlow, Angela T.; McCrory, Michael R. – Teaching Children Mathematics, 2011
As elementary school students attempt to understand mathematical concepts, engaging in the processes of reasoning and sense making is important. To do so, students should be expected to listen to and challenge their classmates' ideas. Disagreements provide students with the impetus to think deeply about mathematics in an effort to make sense of a…
Descriptors: Elementary School Mathematics, Teaching Methods, Elementary School Students, Mathematical Concepts
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Cooper, Linda L.; Tomayko, Ming C. – Teaching Children Mathematics, 2011
Developing an understanding of place value and the base-ten number system is considered a fundamental goal of the early primary grades. For years, teachers have anecdotally reported that students struggle with place-value concepts. Among the common errors cited are misreading such numbers as 26 and 62 by seeing them as identical in meaning,…
Descriptors: Enrichment Activities, Number Systems, Number Concepts, Misconceptions
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Ellington, Aimee J.; Whitenack, Joy W. – Teaching Children Mathematics, 2010
Mathematics specialists play a significant, meaningful, and integral role in supporting elementary school teachers in this mathematically connected world. These teacher leaders (coaches, resource teachers, math leads, and so on) work closely with all members of the school community--students, teachers, and administrators--and have a range of…
Descriptors: Elementary School Teachers, Teacher Leadership, Mathematics Instruction, Teaching Methods
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