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Nnadi, James N. – International Journal of Mathematical Education in Science and Technology, 2004
This classroom note includes the following sections: Introduction; The General Case; and Related Formulas.
Descriptors: Number Systems, Trigonometry, Mathematics Instruction
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Halberda, Justin; Feigenson, Lisa – Developmental Psychology, 2008
Behavioral, neuropsychological, and brain imaging research points to a dedicated system for processing number that is shared across development and across species. This foundational Approximate Number System (ANS) operates over multiple modalities, forming representations of the number of objects, sounds, or events in a scene. This system is…
Descriptors: Number Systems, Neurology, Child Development, Children
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Ketterlin-Geller, Leanne R.; Jungjohann, Kathleen; Chard, David J.; Baker, Scott – Educational Leadership, 2007
Much of the difficulty that students encounter in the transition from arithmetic to algebra stems from their early learning and understanding of arithmetic. Too often, students learn about the whole number system and the operations that govern that system as a set of procedures to solve addition, subtraction, multiplication, and division problems.…
Descriptors: Number Systems, Word Problems (Mathematics), Arithmetic, Algebra
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Leviatan, T. – International Journal of Mathematical Education in Science & Technology, 2006
Real numbers are often a missing link in mathematical education. The standard working assumption in calculus courses is that there exists a system of "numbers", extending the rational number system, adequate for measuring continuous quantities. Moreover, that such "numbers" are in one-to-one correspondence with points on a "number line". But…
Descriptors: Geometric Concepts, Number Systems, Mathematics Education, Calculus
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MacDonald, I. D. – Australian Mathematics Teacher, 1972
Descriptors: Calculus, History, Mathematics, Number Systems
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Maier, E. A.; Maier, David – Two-Year College Mathematics Journal, 1973
Descriptors: Algebra, College Mathematics, Mathematics, Number Systems
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Trigg, Charles W. – School Science and Mathematics, 1971
Descriptors: Mathematical Concepts, Mathematics, Number Systems, Numbers
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Cheng-Zijuan; Chan, Lorna Kim Sang – International Journal of Early Years Education, 2005
Simplicity in number naming in a language (e.g. "ten-two" in Chinese is simpler than the irregular "twelve" in English) has been used to explain cross-cultural disparities in children's computational competence. In contrast to previous research focusing only on whether children can provide the correct answers, in this study (N =117 and 92) we…
Descriptors: Number Systems, Number Concepts, Mathematics Instruction
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Benjamin, Arthur T.; Quinn, Jennifer J. – Mathematics Teacher, 2006
Authors use combinatorical analysis to prove some interesting facts about the Fibonacci sequence.
Descriptors: Mathematical Concepts, Sequential Approach, Mathematics Instruction, Number Concepts
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Swenton, Frank J. – International Journal of Mathematical Education in Science & Technology, 2006
The paper details a comprehensive system for the treatment of the topic of limits--conceptually, computationally, and formally. The system addresses fundamental linguistic flaws in the standard presentation of limits, which attempts to force limit discussion into the language of individual real numbers and equality. The system of near-numbers…
Descriptors: Mathematics Instruction, Calculus, Mathematical Concepts, Number Systems
Baum, John D. – Mathematical Gazette, 1972
Illustrated is the use of arithmetic modulo 2 for finding the truth values of logical statements. (MM)
Descriptors: Logic, Mathematics, Number Systems, Secondary School Mathematics
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Pincus, Morris – Arithmetic Teacher, 1972
Descriptors: Elementary School Mathematics, Instruction, Number Systems, Numbers
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Byrkit, Donald R. – School Science and Mathematics, 1971
Descriptors: Mathematics, Number Concepts, Number Systems, Resource Materials
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Arzt, Joshua; Gaze, Eric – Mathematics and Computer Education, 2004
Divisibility tests for digits other than 7 are well known and rely on the base 10 representation of numbers. For example, a natural number is divisible by 4 if the last 2 digits are divisible by 4 because 4 divides 10[sup k] for all k equal to or greater than 2. Divisibility tests for 7, while not nearly as well known, do exist and are also…
Descriptors: Number Concepts, Mathematics Education, Arithmetic, Number Systems
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Karvonen, Meagan; Huynh, Huynh – Applied Measurement in Education, 2007
Although many studies have examined the alignment of state standards with large-scale assessment and instruction, fewer have attended to alignment concerning alternate assessments for students with significant disabilities. This study was designed to (1) compare expectations in one state's alternate assessment (AA) with curricular priorities…
Descriptors: State Standards, Mathematics Tests, Scores, Reading Comprehension
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