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Bertolone-Smith, Claudia M.; Gillette-Koyen, Linda – Teaching Children Mathematics, 2019

The first author's initial attempts at a whole-class mathematics discussion were woefully dysfunctional. Ten second graders showing their answers to a missing addend question about the number of children left riding a school bus did not result in the mathematical epiphany that the textbook promised. She did not give up on using mathematical…

Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Classroom Communication

Cetin, Hatice – Universal Journal of Educational Research, 2019

Many related studies have studied many different models in the teaching of the concept of integer, which have reported that counters failed to completely help with the understanding of the concept of and operation modeling in integers. The purpose of the present research is presenting the "opposite model", which is a quantitative model,…

Descriptors: Numbers, Mathematics Instruction, Elementary School Mathematics, Mathematical Concepts

Crawford, Lindy; Quebec Fuentes, Sarah; Huscroft-D'Angelo, Jacqueline; Higgins, Kristina N. – Intervention in School and Clinic, 2019

Meaningful inclusion of quantitative reasoning into mathematics instruction requires meaningful ways to evaluate it. Few formative assessments exist to evaluate the strategies students use when reasoning mathematically. The Framework for Evaluating Quantitative Reasoning Strategies presented in this article provides teachers with categories for…

Descriptors: Fractions, Mathematics Instruction, Mathematical Logic, Student Evaluation

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

Ahmadpour, Fatemeh; Reid, David; Reza Fadaee, Mohammad – Mathematical Thinking and Learning: An International Journal, 2019

We present a model for describing the growth of students' understandings when reading a proof. The model is composed of two main paths. One is focused on becoming aware of the deductive structure of the proof, in other words, understanding the proof at a semantic level. Generalization, abstraction, and formalization are the most important…

Descriptors: Mathematical Logic, Validity, Mathematics Instruction, Secondary School Mathematics

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)

West, John – Australian Primary Mathematics Classroom, 2018

The importance of mathematical reasoning is unquestioned and providing opportunities for students to become involved in mathematical reasoning is paramount. The open-ended tasks presented incorporate mathematical content explored through the contexts of problem solving and reasoning. This article presents a number of simple tasks that may be…

Descriptors: Mathematics Instruction, Mathematical Logic, Problem Solving, Fractions

Hurst, Chris – Australian Primary Mathematics Classroom, 2018

Evidence suggests that some students have learned procedures with little or no underpinning understanding while others have a much more connected and conceptual levels of understanding. In this article, the work of four primary students is discussed in terms of their contextual understanding of multiplicative concepts. The difference between…

Descriptors: Mathematics Instruction, Mathematical Logic, Multiplication, Teaching Methods

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

Gold, Lindsay A.; Houston, Michael S.; Bay-Williams, Jennifer M.; Ashurst, John M. – National Council of Teachers of Mathematics, 2018

Financial skills, like mathematical ones, must be built on a firm foundation. Whether one is putting money in a piggy bank or a 401(k), and purchasing a toy car or a real one, everyone needs the understanding of financial issues and math skills necessary for making sound decisions. The elementary classroom is the perfect place to introduce…

Descriptors: Money Management, Skill Development, Mathematics Skills, Elementary School Students

Schifter, Deborah; Bastable, Virginia; Russell, Susan Jo – National Council of Teachers of Mathematics, 2018

The "Reasoning Algebraically about Operations Casebook" was developed as the key resource for participants' Developing Mathematical Ideas seminar experience. The thirty-four cases, written by teachers describing real situations and actual student thinking in their classrooms, provide the basis of each session's investigation into the…

Descriptors: Mathematics Instruction, Elementary Schools, Middle Schools, Teaching Methods

Poon, Kin Keung – International Journal of Mathematical Education in Science and Technology, 2018

GeoGebra is a mathematics software system that can serve as a tool for inquiry-based learning. This paper deals with the application of a fraction comparison software, which is constructed by GeoGebra, for use in a dynamic mathematics environment. The corresponding teaching and learning issues have also been discussed.

Descriptors: Mathematics Instruction, Computer Software, Computer Assisted Instruction, Active Learning

Rawlins, Debra; Hernandez, Natasha; Miller, William – Teaching Children Mathematics, 2018

A second-grade class visits Saint John's Food Pantry each year and spends the morning learning about the needs of the community. Then students pitch in and help the staff for a few hours. When the children return to school, they create signs advertising a canned food drive, and they place collection boxes at various locations around the school.…

Descriptors: Grade 2, Problem Solving, Elementary School Mathematics, Elementary School Students

Ding, Meixia – Teaching Children Mathematics, 2018

Tape diagrams, also known as strip diagrams, bar models, fraction strips, or length models, are linear representations that can be used to effectively model quantitative relationships during problem solving. Tape diagrams are a powerful model recommended by the Common Core, but they are relatively new to teachers and students in the United States.…

Descriptors: Foreign Countries, Mathematics Instruction, Elementary School Mathematics, Grade 2