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Showing 1 to 15 of 40 results Save | Export
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Isman M. Nur; Cholis Sa'Dijah; Santi Irawati; Subanji – Pegem Journal of Education and Instruction, 2024
This study aims to analyze and to describe, in terms of information processing theory, the thinking processes of junior high school students as they solved problems involving direct and inverse proportions. This study design is qualitative and exploratory-descriptive in nature. 26 students in the seventh grade of SMP Negeri 1 Kota Ternate were…
Descriptors: Thinking Skills, Problem Solving, Mathematical Concepts, Information Processing
Chin, Sze Looi; Choy, Ban Heng; Leong, Yew Hoong – Mathematics Education Research Group of Australasia, 2022
In this paper, we present a case study of a secondary mathematics teacher, Isaac (pseudonym), and his considerations for teaching with multiple methods for solving missing-value problems. While his students preferred methods that drew more closely on their intuitive understanding of proportionality, Isaac emphasised the algorithmic…
Descriptors: Teaching Methods, Secondary School Mathematics, Mathematics Instruction, Mathematics Teachers
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Cordero-Siy, Eric; Ghousseini, Hala – Mathematics Teacher: Learning and Teaching PK-12, 2022
Representations are used throughout school mathematics for students to both think through a problem and communicate their ideas. Students also often come to mathematics class with a repertoire of representations. This article presents the ideas of different and multiple representations with conceptual connections as their underlying distinguishing…
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Frank, Isaac – Mathematics Teacher, 2019
In this brief article, the author illustrates the flaws of FOIL (multiply the First, Outer, Inner, and Last terms of two binomials) and introduces the box method. Much like FOIL, the box method can become easy to use. Unlike FOIL, however, the box method is a more direct and visible link to using the distributive property to determine area, a…
Descriptors: Mathematics Instruction, Mathematical Concepts, Mathematics Teachers, Multiplication
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Izsák, Andrew; Kulow, Torrey; Beckmann, Sybilla; Stevenson, Dean; Ölmez, Ibrahim Burak – Mathematics Teacher Educator, 2019
We report results from a mathematics content course intended to help future teachers form a coherent perspective on topics related to multiplication, including whole-number multiplication and division, fraction arithmetic, proportional relationships, and linear functions. We used one meaning of multiplication, based in measurement and expressed as…
Descriptors: Mathematics Instruction, Multiplication, Division, Mathematical Concepts
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Stevenson, Dean L.; Beckmann, Sybilla; Johnson, Sheri E.; Kang, Rui – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
We have extended two perspectives of proportional reasoning to solve problems based in probability. Four future middle grade teachers were enrolled in a mathematics content course that emphasized reasoning about multiplication with quantities. The course expected future teachers to generate and explain methods for solving proportions. Probability…
Descriptors: Problem Solving, Probability, Middle School Teachers, Preservice Teachers
Powell, Sarah R.; Fuchs, Lynn S. – TEACHING Exceptional Children, 2018
Many general and special education teachers teach mathematics word problems by defining problems as a single operation and linking key words to specific operations. Unfortunately, teaching students to approach word problems in these ways discourages mathematical reasoning and frequently produces incorrect answers. This article lists eight common…
Descriptors: Mathematics Instruction, Teaching Methods, Word Problems (Mathematics), Problem Solving
Powell, Sara R.; Fuchs, Lynn S. – Grantee Submission, 2018
Many general and special education teachers across the U.S. teach word problems by defining problems as a single operation (e.g., "Today, we're working on subtraction word problems") and linking key words (e.g., more, altogether, share, twice) to specific operations (e.g., share means to divide). Unfortunately, teaching students to…
Descriptors: Mathematics Instruction, Teaching Methods, Word Problems (Mathematics), Problem Solving
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Fyfe, Emily R.; Alibali, Martha W.; Nathan, Mitchell J. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2017
Making connections during math instruction is a recommended practice, but may increase the difficulty of the lesson. We used an avatar video instructor to qualitatively examine the role of linking multiple representations for 24 middle school students learning algebra. Students were taught how to solve polynomial multiplication problems, such as…
Descriptors: Middle School Students, Secondary School Mathematics, Algebra, Learning Processes
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Schneier, Lisa – Interchange: A Quarterly Review of Education, 2018
Originally written 30 years ago, this paper is an analysis of the central challenge of schooling--that of engaging fully the powers of students' minds in classroom learning. This challenge maintains its relevance today. The work of engaging what John Dewey referred to as students' "inner attention" becomes the focus of an investigation…
Descriptors: Learner Engagement, Attention, Teaching Methods, Research Methodology
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Siy, Eric – North American Chapter of the International Group for the Psychology of Mathematics Education, 2018
Using memorized rules and algorithms without coherence and understanding is a perennial problem for teachers and students especially in the teaching and learning of fraction operations. I present data in which prospective middle school teachers explain a commonly used rule for fraction division--keep-change-flip. I argue that using both strip…
Descriptors: Mathematics Instruction, Fractions, Division, Multiplication
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Tekin Sitrava, Reyhan – European Journal of Educational Research, 2018
The aim of this qualitative case study is to investigate prospective mathematics teachers' subject matter knowledge of the underlying concepts of standard and nonstandard algorithms used to solve the problems with whole numbers. Twenty three prospective mathematics teachers enrolled in the Elementary Mathematics Education Program of one of the…
Descriptors: Foreign Countries, Case Studies, Preservice Teachers, Mathematics Teachers
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Finesilver, Carla – Mathematical Thinking and Learning: An International Journal, 2017
The move from additive to multiplicative thinking requires significant change in children's comprehension and manipulation of numerical relationships, involves various conceptual components, and can be a slow, multistage process for some. Unit arrays are a key visuospatial representation for supporting learning, but most research focuses on 2D…
Descriptors: Multiplication, Computation, Numeracy, Number Concepts
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Machaba, France M. – Pythagoras, 2016
This article focuses on learners' understanding and their descriptions of the concepts of area and perimeter, how learners solve problems involving area and perimeter and the relationship between them and misconceptions, and the causes of these misconceptions as revealed by learners when solving these problems. A written test was administered to…
Descriptors: Foreign Countries, Grade 10, Secondary School Mathematics, Mathematics Instruction
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Tillema, Erik; Gatza, Andrew – North American Chapter of the International Group for the Psychology of Mathematics Education, 2015
The study reported on in this paper is an interview study conducted with 20 7th and 8th grade students whose purpose was to understand the generalizations they could make about non-linear meanings of multiplication (NLMM) and non-linear growth (NLG) in the context of solving combinatorics problems. The paper identifies productive challenges for…
Descriptors: Middle School Students, Secondary School Mathematics, Generalization, Number Concepts
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