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Computational Fluency, Algorithms, and Mathematical Proficiency: One Mathematician's Perspective.
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Bass, Hyman – Teaching Children Mathematics, 2003
Suggests that algorithms, both traditional and student-invented, are proper objects of study not only as tools for computation, but also for understanding the nature of the operations of arithmetic. (Author/NB)
Descriptors: Algorithms, Arithmetic, Computation, Concept Formation
There Are No Algorithms for Teaching Algorithms.
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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
Alternative Algorithms: Increasing Options, Reducing Errors.
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Randolph, Tamela D.; Sherman, Helene J. – Teaching Children Mathematics, 2001
Presents several alternatives to customary algorithms for whole number arithmetic. Includes a brief history of each algorithm and discusses why each might be useful for particular kinds of children. (KHR)
Descriptors: Algorithms, Arithmetic, Elementary Education, Learning Strategies
Multicultural Mathematics and Alternative Algorithms.
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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
Developing Computational Fluency with Whole Numbers.
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Russell, Susan Jo – Teaching Children Mathematics, 2000
Examines the philosophy behind the issue of computational fluency in "Principles and Standards." (Author)
Descriptors: Algorithms, Arithmetic, Computation, Early Childhood Education
Culture in the Curriculum: Enriching Numeration and Number Operations.
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Moldavan, Carla C. – Teaching Children Mathematics, 2001
Describes a multicultural enrichment project for 4th graders that highlights number systems and computation algorithms of various cultures. Discusses student responses and reactions. (KHR)
Descriptors: Algorithms, Arithmetic, Computation, Curriculum Design
Research into Practice: Multiplication and Division: Sense Making and Meaning.
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Kouba, Vicky L.; Franklin, Kathy – Teaching Children Mathematics, 1995
Discusses mathematics education research on multiplication and division which implies that instruction should emphasize development of a sound conceptual basis for multiplication and division rather than memorization of tables and rules. Presents action research ideas. (10 references) (MKR)
Descriptors: Action Research, Algorithms, Arithmetic, Computation
Children's Inventions for Multidigit Multiplication and Division.
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Caliandro, Christine Koller – Teaching Children Mathematics, 2000
Describes an informal research activity in which third grade students invent their own algorithms for multidigit multiplication and division. Discusses teaching implications and action research ideas. (ASK)
Descriptors: Action Research, Algorithms, Division, Elementary School Mathematics
Helping Students Understand Subtraction.
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Page, Anita – Teaching Children Mathematics, 1994
Discusses using what students already know about taking away objects when teaching subtraction and gives six lessons to develop language for discussing and recording subtraction situations that give meaning to the subtraction algorithm. (MKR)
Descriptors: Algorithms, Charts, Elementary School Mathematics, Language Role
Invented Strategies Can Develop Meaningful Mathematical Procedures.
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Carroll, William M.; Porter, Denise – Teaching Children Mathematics, 1997
Describes teaching strategies in which children are encouraged to develop computational procedures that are meaningful to them. Authors state that classroom observation reveals most primary students to be capable of developing their own accurate solution procedures for multi-digit addition and subtraction as well as for simple multiplication and…
Descriptors: Algorithms, Associative Learning, Computation, Cooperative Learning