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Bates, Tom; Rousseau, Leo – Arithmetic Teacher, 1986
The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
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Ettline, J. Fred – Arithmetic Teacher, 1985
Two difficulties that students have in computing with fractions are idenfitied. Then a procedure is described, stressing the identity element, that resolves these difficulties and increases students' understanding and retention. (MNS)
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Fractions
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Curcio, Frances R.; Schwartz, Sydney L. – Teaching Children Mathematics, 1998
Suggests that issues surrounding the teaching of algorithms focus not on whether to teach them but rather on balancing and connecting the development of algorithmic thinking. Presents an approach to help students develop their algorithmic thinking. Contains 18 references. (ASK)
Descriptors: Algorithms, Elementary Education, Mathematics Activities, Mathematics Instruction
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Morgan, Geoffrey – Australian Primary Mathematics Classroom, 2000
Debates the place of standard methods, the calculator, and mental mathematics in elementary education. Proposes a framework for computation that emphasizes a sequence for introducing computational procedures. (ASK)
Descriptors: Algorithms, Calculators, Computation, Elementary Education
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Fisher, Tony J. – Mathematics Teacher, 2001
Describes a calculator exercise that can help students develop a better visual and numeric feel for Newton's method. (KHR)
Descriptors: Algorithms, Functions (Mathematics), Graphing Calculators, Mathematics Instruction
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Foster, Robin – Mathematics in School, 1998
Indicates that there has been a lot of work done and that a great deal needs to be done in the future to explore the world of children's early number. Discusses the counting, the use of algorithm, practical mathematics, the use of manipulatives, individual differences and pedagogical concerns, and classroom applications. Contains 18 references.…
Descriptors: Algorithms, Computation, Elementary Education, Manipulative Materials
Talton, Carolyn – Illinois Mathematics Teacher, 1997
Illustrates how upper elementary grade students can develop an understanding of the invert-and-multiply algorithm. (CCM)
Descriptors: Algorithms, Arithmetic, Elementary Education, Fractions
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Stencel, John E. – American Biology Teacher, 1991
A real world sample of actual data that students can use to see the application of the Hardy-Weinberg law to a real population is provided. The directions for using a six-step algorithmic procedure to determine Hardy-Weinberg percentages on the data given are described. (KR)
Descriptors: Algorithms, Biology, Genetics, Problem Solving
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Brinkworth, Peter – Australian Primary Mathematics Classroom, 1998
Compares methods of subtraction used by children and teachers. Suggests ways to encourage children to invent their own subtraction algorithms. (CCM)
Descriptors: Algorithms, Arithmetic, Elementary Education, Foreign Countries
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Hall, William D. – Arithmetic Teacher, 1983
A strategy to make the transition from manipulative materials to a written algorithm for division is outlined in dialogue form. (MNS)
Descriptors: Algorithms, Computation, Division, Elementary Education
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Mathematics Teacher, 1982
The following ideas are shared: (1) a low-stress subtraction algorithm that eliminates the traditional borrowing process, and (2) an approach to graphing circular functions that looks at the process of modifying simple functions as a series of shifting, sliding, and stretching adjustments, with its biggest advantage viewed as its generality. (MP)
Descriptors: Algorithms, Graphs, Instruction, Mathematics Instruction
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Philipp, Randolph A. – Teaching Children Mathematics, 1996
Encourages teachers to allow opportunities for students to present alternative algorithms, whether the students invent them or learn them, then lead a discussion about the meaning of the operations with the goal of students understanding why the algorithm works. Teachers with students of similar racial and ethnic backgrounds should encourage the…
Descriptors: Algorithms, Computation, Elementary Education, Mathematical Applications
Yelon, Stephen – Performance and Instruction, 1992
Guidelines for the integration of effective and efficient practice into the lecture format of higher education curricula are outlined and discussed. An algorithm for incorporating active learning into lecture courses is provided, with examples and discussion of possible constraints. (four references) (EA)
Descriptors: Algorithms, Experiential Learning, Flow Charts, Guidelines
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Beishuizen, Meindert; Anghileri, Julia – Mathematics in School, 1998
Compares the approaches to teaching division in Britain and in Holland where different emphasis is placed on the development of mental and written methods. Describes how it is common for pupils in Britain to work from an early stage with pencil and paper rather than mentally whereas early emphasis is placed on mental strategies in Holland. (ASK)
Descriptors: Algorithms, Arithmetic, Computation, Division
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Mathematics Teacher, 1983
The first section promotes use of student notebooks in mathematics instruction as incentives for pupils to do daily work. Part two looks at a geometric interpretation of the Euclidean algorithm. The final section examines an open box problem that is thought to appear in virtually every elementary calculus book. (MP)
Descriptors: Algorithms, Calculus, Geometric Concepts, Geometry
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