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Showing 1 to 15 of 35 results Save | Export
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Basil Conway IV; Marjorie Mitchell – Mathematics Teacher: Learning and Teaching PK-12, 2023
This article describes students learning to build their own numbering system by recognizing and identifying patterns with interlocking cubes in different place values. The students used the Egyptian hieroglyphic numeral system in conjunction with this activity to connect learning in other subjects. Students used prior knowledge of place value to…
Descriptors: Mathematics Instruction, Geometric Concepts, Concept Formation, Number Systems
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Karaali, Gizem; Yih, Samuel – PRIMUS, 2020
When first learning how to write mathematical proofs, it is often easier for students to work with statements using the universal quantifier. Results that single out special cases might initially come across as more puzzling or even mysterious. In this article we explore three specific statements from abstract algebra that involve the number…
Descriptors: Mathematics Instruction, College Mathematics, Algebra, Numbers
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Abd-Elhameed, W. M.; Zeyada, N. A. – International Journal of Mathematical Education in Science and Technology, 2017
This paper is concerned with developing a new class of generalized numbers. The main advantage of this class is that it generalizes the two classes of generalized Fibonacci numbers and generalized Pell numbers. Some new identities involving these generalized numbers are obtained. In addition, the two well-known identities of Sury and Marques which…
Descriptors: Generalization, Numbers, Number Concepts, Number Systems
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MacDonald, Beth L.; Shumway, Jessica F. – Teaching Children Mathematics, 2016
Use young children's quick attention to numerosity to evaluate their grasp of number while they engage in game play.
Descriptors: Number Concepts, Number Systems, Numbers, Preschool Children
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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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
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Davis, Zain – African Journal of Research in Mathematics, Science and Technology Education, 2016
Anthropological approaches to studying the contextual specificity of mathematical thought and practice in schools can productively inform descriptions and analyses of mathematical practices within and across different teaching and learning contexts. In this paper I argue for an anthropological methodological orientation that takes into…
Descriptors: Anthropology, Elementary School Mathematics, Mathematics Instruction, Teaching Methods
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Kurz, Terri L.; Yanik, H. Bahadir; Lee, Mi Yeon – Clearing House: A Journal of Educational Strategies, Issues and Ideas, 2016
Using a dog's paw as a basis for numerical representation, sixth grade students explored how to count and regroup using the dog's four digital pads. Teachers can connect these base-4 explorations to the conceptual meaning of place value and regrouping using base-10.
Descriptors: Animals, Number Concepts, Mathematics, Mathematics Education
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Nivens, Ryan – Australian Mathematics Teacher, 2013
Some people recognize a palindrome when they see one, however fewer realize that a palindrome is a special case of a pattern and that these patterns are all around. Palindromes frequently occur in names, both of vehicles and people, and in music. The traditional mathematical curriculum has often left palindromes out of the common vernacular. Where…
Descriptors: Mathematics Instruction, Grade 6, Grade 7, Grade 8
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Hirsch, Jenna – MathAMATYC Educator, 2012
A facility with signed numbers forms the basis for effective problem solving throughout developmental mathematics. Most developmental mathematics textbooks explain signed number operations using absolute value, a method that involves considering the problem in several cases (same sign, opposite sign), and in the case of subtraction, rewriting the…
Descriptors: Mathematics Education, Number Concepts, Number Systems, Numbers
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Berman, Jeanette – Australian Primary Mathematics Classroom, 2011
Place value underpins much of what people do in number. In this article, the author describes some simple tasks that may be used to assess students' understanding of place value. This set of tasks, the Six Tasks of Place Value (SToPV), takes five minutes to administer and can give direct insight into a student's understanding of the number system…
Descriptors: Comprehension, Grade 3, Number Systems, Number Concepts
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Cooper, Linda L.; Tomayko, Ming C. – Teaching Children Mathematics, 2011
Developing an understanding of place value and the base-ten number system is considered a fundamental goal of the early primary grades. For years, teachers have anecdotally reported that students struggle with place-value concepts. Among the common errors cited are misreading such numbers as 26 and 62 by seeing them as identical in meaning,…
Descriptors: Enrichment Activities, Number Systems, Number Concepts, Misconceptions
Gibson, David – Mathematics Teaching, 2011
In the September 2010 issue of "Mathematics Teaching," Tom O'Brien offered practical advice about how to teach addition, subtraction, multiplication, and division and contrasted his point of view with that of H.H. Wu. In this article, the author revisits Tom's examples, drawing on his methodology while, hopefully, simplifying it and giving it…
Descriptors: Opinions, Number Systems, Methods, Teaching Methods
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Mack, Nancy K. – Teaching Children Mathematics, 2011
Exploring number systems of other cultures can be an enjoyable learning experience that enriches students' knowledge of numbers and number systems in important ways. It helps students deepen mental computation fluency, knowledge of place value, and equivalent representations for numbers. This article describes how the author designed her…
Descriptors: Number Systems, Mental Computation, Number Concepts, Learning Experience
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Coffland, David A. – Mathematics Teaching in the Middle School, 2012
The combined seventh-grade and eighth-grade class began each day with a mathematical reasoning question as a warm-up activity. One day's question was: Is the product of two odd numbers always an odd number? The students took sides on the issue, and the exercise ended in frustration. Reflecting on the frustration caused by this warm-up activity,…
Descriptors: Number Systems, Grade 7, Grade 8, Thinking Skills
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