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Jillian M. Cavanna; Byungeun Pak; Brent E. Jackson – Mathematics Teacher: Learning and Teaching PK-12, 2024
Teachers can make number talks more ambitious and increase learning opportunities for students by debugging errors, promoting multi-student thinking, and orienting to make connections. This article describes the basic number talks routine and examines some common tendencies, such as "Serial Sharing." It concludes with a vignette to…
Descriptors: Number Concepts, Numbers, Mathematics Teachers, Mathematics Instruction
Patrick L. Sullivan – Solution Tree, 2024
Reimagining elementary mathematics pedagogy using a three-step process--See It, Say It, Symbolize It--author Patrick L. Sullivan provides a guide for developing a dynamic and flexible understanding of numbers and operations. By helping students develop a language that is consistent across concepts and connecting it to what is seen and symbolized,…
Descriptors: Elementary School Students, Mathematics Instruction, Numbers, Mathematical Concepts
Russo, James – Australian Primary Mathematics Classroom, 2019
In this article, James presents the Extended Hundreds Chart, a task he used with Year 6 students to explore their thinking about and representations of negative numbers.
Descriptors: Thinking Skills, Mathematics Instruction, Teaching Methods, Numbers
Bishop, Jessica Pierson; Lamb, Lisa L.; Whitacre, Ian; Philipp, Randolph A.; Schappelle, Bonnie P. – Mathematics Teacher: Learning and Teaching PK-12, 2022
In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…
Descriptors: Thinking Skills, Problem Solving, Mathematics Instruction, Logical Thinking
Morrow-Leong, Kimberly; Moore, Sara Delano; Gojak, Linda M. – Mathematics Teacher: Learning and Teaching PK-12, 2021
In this article, the authors share five strategies for using a primary teacher's existing picture book library to create engaging, standard-supporting lessons in mathematics. Because teachers choose the books they read according to their students' interests and concerns, the lessons they create are also more likely to be highly responsive to…
Descriptors: Teaching Methods, Mathematics Instruction, Elementary School Students, Student Interests
McDowell, Eric L. – Mathematics Teacher, 2016
By the time they reach middle school, all students have been taught to add fractions. However, not all have "learned" to add fractions. The common mistake in adding fractions is to report that a/b + c/d is equal to (a + c)/(b + d). It is certainly necessary to correct this mistake when a student makes it. However, this occasion also…
Descriptors: Fractions, Number Systems, Number Concepts, Numbers
Bird, Ronit – SAGE Publications Ltd (UK), 2021
This practical book draws on Ronit Bird's teaching experience to create detailed strategies and teaching plans for students aged 9-16 who have difficulties with number. Activities and games are used to teach numeracy skills in these key areas: number components, bridging, multiplication, division and reasoning strategies. New to this edition: (1)…
Descriptors: Learning Disabilities, Numeracy, Mathematics Instruction, Teaching Methods
Weber, Christof – Mathematics Teacher, 2019
Students' difficulties understanding the meaning of logarithms could stem in part from differences between teachers' and students' views of them. The purpose of this article is to unpack some specialized content knowledge for teaching logarithms. The author discusses the history of logarithms to show why they can be understood as repeated…
Descriptors: Mathematics Instruction, Teaching Methods, Difficulty Level, Numbers
Ahrendt, Susan; Monson, Debra; Cramer, Kathleen – Mathematics Teacher: Learning and Teaching PK-12, 2021
In grade 3, students are expected to be able to represent a fraction on a number line by first identifying the interval from 0 to 1 as the unit and by partitioning the unit as needed on the basis of the denominator. This task extends these grade 3 fraction goals stated in the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010)…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Grade 3, Fractions
What Works Clearinghouse, 2021
This document includes instructional tips on: (1) Building on students' informal understanding of sharing and proportionality to develop initial fraction concepts; (2) Helping students recognize that fractions are numbers that expand the number system beyond whole numbers, and using number lines to teach this and other fraction concepts; (3)…
Descriptors: Mathematics Instruction, Instructional Effectiveness, Fractions, Elementary School Students
Weng, Pei-Lin; Bouck, Emily C. – TEACHING Exceptional Children, 2017
Price comparison is a functional mathematics skill involving purchasing, use of money, and budgeting, with the goal of selecting the best deal based on a person's financial resources (Browder, Spooner, & Trela, 2011). The operational definition of "price comparison" is to compare the magnitudes of the price numbers and then select…
Descriptors: Mathematics Instruction, Mathematics Skills, Mathematical Concepts, Special Education Teachers
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
Hourigan, Mairéad; Leavy, Aisling – Australian Primary Mathematics Classroom, 2019
We are pleased to bring you this follow-up to Mairéad Hourigan and Aisling Leavy's article [EJ1289314] that was published in issue 1 this year. In this contribution, they demonstrate that embedding mathematics within a rich context and learning sequence assists with the consolidation of student understanding and makes more effective use of teacher…
Descriptors: Number Concepts, Mathematics Instruction, Teaching Methods, Sequential Approach
McCormick, Kelly K.; Essex, N. Kathryn – Teaching Children Mathematics, 2017
This article reports on a study in which researchers asked children to "make up as story and a picture about marbles for this number sentence: 3 x 5 = 15." Students in this study came from pre - dominantly low- to average-income families living in three distinct geographical areas within the United States. A similar division task was…
Descriptors: Mathematics Instruction, Multiplication, Arithmetic, Elementary School Students
Cox, Teodora – Australian Mathematics Teacher, 2016
Mathematics teachers are frequently looking for real-life applications and meaningful integration of mathematics and other content areas. Many genuinely seek to reach out to students and help them make connections between the often abstract topics taught in school. In this article the author presents ideas on integrating literature and mathematics…
Descriptors: Mathematics Instruction, Teaching Methods, Literature, Interdisciplinary Approach