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Melrose, Jean; Rowe, Susan – Mathematics in School, 1989
Describes number strips, arrow diagrams, and grids for number operations. Provides diagrams for the activity materials. (YP)
Descriptors: Arithmetic, Educational Games, Elementary Education, Elementary School Mathematics

Olson, Melfried; Olson, Judith – School Science and Mathematics, 1988
Describes a pattern which emerged from an examination of the digits of the squares of numbers. Provides eight examples having the pattern at the units or tens digit of the number. (YP)
Descriptors: Algorithms, Arithmetic, Elementary Education, Elementary School Mathematics

Haigh, Gordon – Mathematics in School, 1990
Discusses a number series made from the multiplication of numbers to digits. Presents a number series for diverse multiplication numbers. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics
Gurganus, Susan – Intervention in School and Clinic, 2004
"Number sense" is "an intuition about numbers that is drawn from all varied meanings of number" (NCTM, 1989, p. 39). Students with number sense understand that numbers are representative of objects, magnitudes, relationships, and other attributes; that numbers can be operated on, compared, and used for communication. It is fundamental knowledge…
Descriptors: Mathematics Education, Numbers, Arithmetic, Educational Strategies
Barnett, I. A. – 1961
The material in this booklet is designed for non-professional mathematicians who have an interest in the theory of numbers. The author presents some elementary results of number theory without involving detailed proofs. Much of the material has direct application for secondary school mathematics teachers. A brief account of the nature of number…
Descriptors: Algebra, Arithmetic, College Mathematics, Mathematical Enrichment
Gattegno, Caleb – Mathematics Teaching, 1972
Descriptors: Arithmetic, Education, Instruction, Learning Processes

Hervey, Margaret A.; Litwiller, Bonnie H. – School Science and Mathematics, 1970
Descriptors: Addition, Arithmetic, Elementary School Mathematics, Instruction

Sowder, Judith T. – Arithmetic Teacher, 1990
Discusses mental computation and how and when it should be taught. Describes seven properties of mental algorithms. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics

Anderson, Oliver D. – Mathematics and Computer Education, 1990
Discusses arithmetic during long-multiplications and long-division. Provides examples in decimal reciprocals for the numbers 1 through 20; connection with divisibility tests; repeating patterns; and a common fallacy on repeating decimals. (YP)
Descriptors: Arithmetic, Computation, Decimal Fractions, Division
Anderson, R. D., Ed.; And Others – 1961
This volume was prepared by the School Mathematics Study Group (SMSG) to help elementary teachers develop a sufficient subject matter competence in the mathematics of the elementary school program. Background material for related SMSG materials for grades four through eight are included. Chapters in the book are: (1) What is Mathematics; (2)…
Descriptors: Algebra, Arithmetic, Elementary Education, Elementary School Mathematics

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
May, Lola J. – Grade Teacher, 1969
Descriptors: Addition, Arithmetic, Division, Elementary Education
GARBER, CLAIRE N.
IT IS SUGGESTED THAT THE SECOND YEAR OF ARITHMETIC INSTRUCTION SHOULD BEGIN, IF NECESSARY, WITH REVIEW OF THE WORK OF THE PREVIOUS GRADE. THE NUMBER SYSTEM SHOULD BE DEVELOPED WITH BACKWARD AND FORWARD COUNTING AND THE INTRODUCTION OF 10 AND THE ZERO. THE WHOLE NUMBERS UNIT SHOULD DEVELOP MULTIPLICATION AND DIVISION FACTS THROUGH GROUPS UP TO…
Descriptors: Arithmetic, Disadvantaged, Grade 2, Mathematics Curriculum
Werstler, Richard E. – 1972
This workbook for elementary teachers presents basic definitions and examples in the areas of set theory, numeration systems, fundamental operations and geometry. Text organization does not use programming frames. Answers to examples are included in a separate section. (DT)
Descriptors: Arithmetic, Elementary School Mathematics, Geometry, Instructional Materials
Tahta, D. G. – Mathematics Teaching, 1972
Beginning with peg manipulation the author sets up a different multiplication system and set of primes. (JM)
Descriptors: Arithmetic, Elementary School Mathematics, Instruction, Manipulative Materials