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Showing 1 to 15 of 45 results Save | Export
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Marah Sutherland; David Furjanic; Joanna Hermida; Ben Clarke – Intervention in School and Clinic, 2024
This article illustrates how teachers can use number lines to support students with or at risk for learning disabilities (LD) in mathematics. Number lines can be strategically used to help students understand relations among numbers, approach number combinations (i.e., basic facts), as well as represent and solve addition and subtraction problems.…
Descriptors: Number Concepts, Arithmetic, Mathematics Instruction, Teaching Methods
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Brave, Kathryn Lavin; McMullen, Mary; Martin, Cecile – Mathematics Teacher: Learning and Teaching PK-12, 2021
During a time when students are accessing instruction virtually because of COVID-19, reflecting on the sixth of the Standards for Mathematical Practice (SMP 6) is a vital step for educators to take. Although the Common Core State Standards for Mathematics (NGA Center and CCSSO 2010) identifies SMP 6 as Attend to precision, associated expertise…
Descriptors: COVID-19, Pandemics, Academic Standards, Mathematics Instruction
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
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Miller, Geoffrey; Obara, Samuel – Australian Mathematics Teacher, 2017
A mathematical mnemonic is a visual cue or verbal strategy that is used to aid initial memorisation and recall of a mathematical concept or procedure. Used wisely, mathematical mnemonics can benefit students' performance and understanding. Explorations into how mathematical mnemonics work can also offer students opportunities to engage in proof…
Descriptors: Mathematics Instruction, Teaching Methods, Mnemonics, Learning Strategies
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Bishop, Jessica Pierson; Lamb, Lisa L.; Philipp, Randolph A.; Whitacre, Ian; Schappelle, Bonnie P. – Mathematics Teaching in the Middle School, 2016
Recognizing and using mathematical structure are key components of mathematical reasoning. The authors believe that one productive way to support students' use of structure is by identifying opportunities to address structure in the context of what teachers are already doing, rather than developing additional tasks or new curriculum materials. The…
Descriptors: Mathematical Logic, Mathematics Instruction, Instructional Materials, Numbers
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Baroody, Arthur J. – PNA, 2016
Six widely used US Grade 1 curricula do not adequately address the following three developmental prerequisites identified by a proposed learning trajectory for the meaningful learning of the subtraction-as-addition strategy (e.g., for 13-8 think "what + 8 = 13?"): (a) reverse operations (adding 8 is undone by subtracting 8); (b) common…
Descriptors: Grade 1, Elementary School Mathematics, Arithmetic, Addition
Liu, Fuchang – Routledge, Taylor & Francis Group, 2017
Learn the most effective ways to teach elementary math, no matter how much experience you have with the subject. In this book, Fuchang Liu takes you through many common mistakes in math instruction and explains the misunderstandings behind them. He points out practices that should be avoided, helping you to adjust your lessons so that all students…
Descriptors: Teaching Methods, Mathematics Instruction, Elementary School Mathematics, Mathematics Teachers
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Nanna, Robert J. – The Mathematics Educator, 2016
Algorithms and representations have been an important aspect of the work of mathematics, especially for understanding concepts and communicating ideas about concepts and mathematical relationships. They have played a key role in various mathematics standards documents, including the Common Core State Standards for Mathematics. However, there have…
Descriptors: Mathematics, Common Core State Standards, Mathematics Instruction, Mathematical Concepts
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Eisenhardt, Sara; Fisher, Molly H.; Thomas, Jonathan; Schack, Edna O.; Tassell, Janet; Yoder, Margaret – Teaching Children Mathematics, 2014
The Common Core State Standards for Mathematics (CCSSI 2010) expect second grade students to "fluently add and subtract within 20 using mental strategies" (2.OA.B.2). Most children begin with number word sequences and counting approximations and then develop greater skill with counting. But do all teachers really understand how this…
Descriptors: Mathematics Instruction, State Standards, Grade 2, Elementary School Mathematics
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Davis, Brent – Mathematics Teaching in the Middle School, 2015
For centuries, the basic operations of school mathematics have been identified as addition, subtraction, multiplication, and division. Notably, these operations are "basic," not because they are foundational to mathematics knowledge, but because they were vital to a newly industrialized and market-driven economy several hundred years…
Descriptors: Grade 8, Units of Study, Teaching Methods, Fundamental Concepts
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Ameis, Jerry A. – Mathematics Teaching in the Middle School, 2011
When learning the order of operations, students are instructed to adhere to a directive when determining the numerical value of an arithmetic expression. A more typical approach is the use of a popular mnemonic called PEDMAS (parentheses, exponents, division, multiplication, addition, subtraction). The literature is scant on conceptual approaches…
Descriptors: Mathematics Instruction, Arithmetic, Mnemonics, Multiplication
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Cheeseman, Jill; Michels, Deborah – Australian Primary Mathematics Classroom, 2013
Jill Cheeseman and Deborah Michels let us eavesdrop on a young child's attempt to solve a four-digit subtraction. In the process they describe the use of an empty number line as a tool for describing the calculation process. If you haven't tried using an empty number line, then the authors outline some compelling reasons for using empty number…
Descriptors: Elementary School Mathematics, Primary Education, Mathematics Skills, Young Children
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Ovchinnikov, Sergei – College Mathematics Journal, 2011
Finding the sum of a series in the form of a closed expression has always been a challenging problem in analysis. The paper presents an elementary method for summation of series with terms generated by functions satisfying subtraction identities.
Descriptors: Mathematics Instruction, College Mathematics, Subtraction, Arithmetic
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Soto-Johnson, Hortensia – International Journal for Technology in Mathematics Education, 2014
The Common Core State Standards Initiative stresses the importance of developing a geometric and algebraic understanding of complex numbers in their different forms (i.e., Cartesian, polar and exponential). Unfortunately, most high school textbooks do not offer such explanations much less exercises that encourage students to bridge geometric and…
Descriptors: Arithmetic, Mathematics Instruction, High School Students, Secondary School Mathematics
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Kreith, Kurt; Mendle, Al – Journal of Mathematics Education at Teachers College, 2013
The transition from whole numbers to integers involves challenges for both students and teachers. Leadership in mathematics education calls for an ability to translate depth of understanding into effective teaching methods, and this landscape includes alternative treatments of familiar topics. Noting the multiple meanings associated with the…
Descriptors: Numbers, Number Concepts, Mathematics, Mathematics Education
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