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Dupree, Kami M. – Mathematics Teaching in the Middle School, 2016
For decades, students have been encouraged to use "Please Excuse My Dear Aunt Sally" as a means of learning the order of operations. Teachers unfamiliar with the Aunt Sally mnemonic are perhaps more familiar with a mnemonic such as PEMDAS. Each mnemonic is intended to convey "parentheses, exponents, multiplication, division,…
Descriptors: Teaching Methods, Mnemonics, Computation, Mathematics Instruction
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Degner, Kate – Mathematics Teaching in the Middle School, 2015
In the author's experience with this activity, students struggle with the idea of representativeness in probability. Therefore, this student misconception is part of the classroom discussion about the activities in this lesson. Representativeness is related to the (incorrect) idea that outcomes that seem more random are more likely to happen. This…
Descriptors: Mathematics Education, Mathematics Activities, Probability, Educational Games
Suh, Jennifer M.; Seshaiyer, Padmanabhan – Rowman & Littlefield Publishers, 2016
"Modeling Mathematical Ideas" combining current research and practical strategies to build teachers and students strategic competence in problem solving.This must-have book supports teachers in understanding learning progressions that addresses conceptual guiding posts as well as students' common misconceptions in investigating and…
Descriptors: Elementary School Mathematics, Secondary School Mathematics, Mathematics Instruction, Problem Solving
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Coughlin, Heather A. – Mathematics Teaching in the Middle School, 2010
Dividing by fractions is considered by many to be one of the most complicated procedures in elementary mathematics. The computations are not only complicated but also challenging to explain in the context of a word problem. In this article, the author discusses the role of the divisor in the concept of division by fractions. She examines three…
Descriptors: Misconceptions, Mathematics Instruction, Computation, Preservice Teacher Education
Clarke, Carne; Fisher, William; Marks, Rick; Ross, Sharon; Zbiek, Rose Mary – National Council of Teachers of Mathematics, 2010
This book focuses on essential knowledge for teachers about rational numbers. It is organized around four big ideas, supported by multiple smaller, interconnected ideas--essential understandings. Taking teachers beyond a simple introduction to rational numbers, the book will broaden and deepen their mathematical understanding of one of the most…
Descriptors: Mathematics Curriculum, Numbers, Elementary School Teachers, Misconceptions
Dacey, Linda; Collins, Anne – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards on Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…
Descriptors: Grade 2, Grade 1, Misconceptions, Academic Standards
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Singh, Chandralekha – Physics Education, 2009
Acceleration is a fundamental concept in physics which is taught in mechanics at all levels. Here, we discuss some challenges in teaching this concept effectively when the path along which the object is moving has a curvature and centripetal acceleration is present. We discuss examples illustrating that both physics teachers and students have…
Descriptors: Physics, Mechanics (Physics), Science Instruction, Concept Teaching
Dacey, Linda; Collins, Anne – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…
Descriptors: Grade 3, Grade 4, Misconceptions, Academic Standards
Collins, Anne; Dacey, Linda – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Sandards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained through decades of mathematics teaching and research,…
Descriptors: Grade 5, Grade 6, Misconceptions, Academic Standards
Collins, Anne; Dacey, Linda – Stenhouse Publishers, 2010
"The Zeroing in on Number and Operations" series, which aligns with the Common Core State Standards and the NCTM Standards and Focal Points, features easy-to-use tools for teaching key concepts in number and operations and for addressing common misconceptions. Sharing the insights they've gained in decades of mathematics teaching and research,…
Descriptors: Grade 7, Grade 8, Misconceptions, Academic Standards
Fazio, Lisa; Siegler, Robert – UNESCO International Bureau of Education, 2011
Students around the world have difficulties in learning about fractions. In many countries, the average student never gains a conceptual knowledge of fractions. This research guide provides suggestions for teachers and administrators looking to improve fraction instruction in their classrooms or schools. The recommendations are based on a…
Descriptors: Class Activities, Learning Activities, Teaching Methods, Numbers
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Stanton, Robert O. – Mathematics Teacher, 1993
Presents a problem in which the incorrect application of the Law of Sines leads to an erroneous solution. Demonstrates that the commission of this error by an ophthalmologist using laser trabeculoplasty could lead to patient injury. (MDH)
Descriptors: Computation, Lasers, Mathematical Applications, Mathematics Education
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Lindsay, Margaret; Scott, Amanda – Australian Primary Mathematics Classroom, 2005
The authors discuss mass as one of the three fundamental measurements (the others being length and time), noting that estimation of mass is little taught and assessed in primary schools. This article briefly explores the reasons for this in terms of culture, practice, and the difficulty of assessing estimation of mass. An activity using the…
Descriptors: Elementary School Mathematics, Elementary School Students, Misconceptions, Mathematics Instruction
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Davis, Robert B. – Arithmetic Teacher, 1991
Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Computation
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Baker, Delores; And Others – Arithmetic Teacher, 1990
Uses of calculators to teach the concept of exponents are described. Topics covered on activity sheets include powers of two, number systems, and powers as repeated multiplication. Cooperative learning is emphasized. (KR)
Descriptors: Calculators, Computation, Concept Formation, Elementary School Mathematics