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Haven't We Found Out All We Can about Children's Early Number?
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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
Activities
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Mathematics Teacher, 1973
Patterns for a set of Napiers Bones and for a denominate number slide rule are provided, with instructions on how to use each of the calculating instruments. (DT)
Descriptors: Algorithms, Instruction, Instructional Materials, Manipulative Materials
Mental Imagery in Mathematics
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Jencks, Stanley M.; Peck, Donald M. – Arithmetic Teacher, 1972
Descriptors: Algorithms, Elementary School Mathematics, Fractions, Instruction
Children's Mathematical Frameworks--Part Three. Subtraction.
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Hart, Kathleen – Mathematics in School, 1987
Describes a research project designed to monitor the transition from work based on concrete materials to the more formalized aspect of mathematics found in secondary schools. The topic of subtraction was chosen by three teachers who were involved in the investigation. (PK)
Descriptors: Algorithms, Computation, Concept Formation, Elementary Education
Understanding, Doing, and Teaching Multiplication.
Lampert, Magdalene – 1985
The concept of multiplication is described and illustrated using several different representational systems. A conceptual approach to teaching mathematics is compared with the procedural approach commonly found in the school curriculum. Four different methods of representing the multiplication process with numbers larger than ten are presented:…
Descriptors: Algorithms, Cognitive Processes, Computation, Educational Research
Left-to-Right Computations and Estimation.
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Lee, Kil S. – School Science and Mathematics, 1991
Traditional methods of teaching addition include algorithms that involve right-to-left procedures. This article describes efficient procedures for left-to-right addition and subtraction involving computation and computational estimation that reflect children's natural behaviors observed during activities with unifix cubes. (MDH)
Descriptors: Addition, Algorithms, Cognitive Development, Cognitive Processes
CSMP Mathematics for the Intermediate Grades, Part VI, Teacher's Guide: General Introduction, The World of Numbers, Workbooks, The Languages of Strings and Arrows, Geometry and Measurement, Probability and Statistics. Experimental Version.
Armstrong, Richard; And Others – 1980
This two-volume teacher's guide is to be used with a second-semester, sixth-grade mathematics program. The manner of presentation and the pedagogical ideas and tools are based on the works of Georges and Frederique Papy. They are recognized as having introduced colored arrow drawings ("papygrams") and models of our numeration system (the…
Descriptors: Algorithms, Diagrams, Elementary Education, Elementary School Mathematics
CSMP Mathematics for the Upper Primary Grades, Part III, Teacher's Guide: General Introduction, The World of Numbers, The Languages of Strings and Arrows, Geometry and Measurement, Workbooks. Final Experimental Version.
Heidema, Clare; And Others – 1979
This two-volume teacher's guide is to be used with a first-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools are…
Descriptors: Addition, Algorithms, Diagrams, Elementary Education
CSMP Mathematics for the Upper Primary Grades, Part IV, Teacher's Guide: General Introduction, The World of Numbers, The Languages of Strings and Arrows, Geometry and Measurement, Workbooks. Final Experimental Version.
Heidema, Clare; And Others – 1979
This two-volume teacher's guide is to be used with a second-semester, third-grade mathematics program. The program is in large part the outgrowth of involvement with children and was influenced by information gathered in an extended pilot project conducted nationwide during 1975-79. The manner of presentation and the pedagogical ideas and tools…
Descriptors: Addition, Algorithms, Diagrams, Elementary Education
The Arithmetic Project Course for Teachers - 7. Topic: Lower Brackets. Supplement: Using Centimeter Blocks to Introduce Prime Numbers to a Third Grade.
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Education Development Center, Inc., Newton, MA. – 1973
This is one of a series of 20 booklets designed for participants in an in-service course for teachers of elementary mathematics. The course, developed by the University of Illinois Arithmetic Project, is designed to be conducted by local school personnel. In addition to these booklets, a course package includes films showing mathematics being…
Descriptors: Algorithms, Elementary Education, Elementary School Mathematics, Elementary School Teachers