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Thwaites, G. N. – Mathematics in School, 1989
Discusses a counting system and number operations. Suggests six distinct areas in a "number" subject: one-to-one correspondences; simple counting process; complicated counting process; addition and multiplication; algorithms for the operations; and the decimal system. (YP)
Descriptors: Arithmetic, Computation, Elementary School Mathematics, Mathematical Concepts
Carpenter, Thomas P.; And Others – 1994
In this paper four programs are described in which children learn multidigit number concepts and operations with understanding: (1) the Supporting Ten-Structured Thinking projects, (2) the Conceptually Based Instruction project, (3) Cognitively Guided Instruction projects, and (4) the Problem Centered Mathematics Project. The diversity in these…
Descriptors: Arithmetic, Cognitive Development, Demonstration Programs, Mathematics Instruction
Marine Corps Inst., Washington, DC. – 1984
This course is designed to review the arithmetic skills used by many Marines in the daily pursuance of their duties. It consists of six study units: (1) number systems and operations; (2) fractions and percents; (3) introduction to algebra; (4) units of measurement (considering both the metric and United States systems); (5) geometric forms; and…
Descriptors: Algebra, Arithmetic, Fractions, Geometric Concepts

Immerzeel, George; Wiederanders, Don – Arithmetic Teacher, 1971
Four worksheets showing how number patterns may be used to give extra practice and insight into the decimal numeration system and the basic properties of arithmetic. (MM)
Descriptors: Addition, Arithmetic, Elementary School Mathematics, Instruction
Zaslavsky, Claudia – Teacher, 1979
In presenting a rationale for allowing--even encouraging--children to count on their fingers, the author illustrates finger counting systems from African and American Indian tribes and the medieval European system cataloged by the Venerable Bede. She cites number words from many languages which derive from names for gestures. (SJL)
Descriptors: African Culture, American Indian Culture, Arithmetic, Computation
Groves, Susie – 1994
The Calculators in Primary Mathematics Project in Australia was a long-term investigation into the effects of the introduction of calculators on the learning and teaching of primary mathematics. The Australian project commenced with children who were in kindergarten and grade 1 in 1990, moving up through the schools to grade 4 level by 1993.…
Descriptors: Arithmetic, Calculators, Elementary Education, Elementary School Students
Northwest Territories Dept. of Education, Yellowknife. Programs and Evaluation Branch. – 1981
Following instructions provided in the teacher's manual, the SCOPE Mathematics Achievement Test booklet for grade 3 presents 11 mathematical concepts. Testing items include: skip counting by 2's, 5's, and 10's to 100, 3's to 30, and 4's to 40; writing number words to 20; identifying and naming 100's, 10's, and 1's in three-digit numerals; reading…
Descriptors: Arithmetic, Criterion Referenced Tests, Division, Elementary School Mathematics
Northwest Territories Dept. of Education, Yellowknife. Programs and Evaluation Branch. – 1981
The SCOPE Mathematics Achievement Test booklet for grade 3-s contains the same testing items as the test booklet for grade 3. This booklet is more suitable for the more mature student; therefore, directions have been written to permit the student to take the test with little or no teacher direction. (ERB)
Descriptors: Arithmetic, Criterion Referenced Tests, Division, Elementary School Mathematics
Jones, Burton W., Ed. – 1966
This text was written for junior high school teachers who wish to have more mathematical background on number systems. It is particularly useful for teachers who teach SMSG materials at grades 7 and 8. Chapters included are: (1) Introduction; (2) Numeration; (3) The Whole Numbers; (4) Divisibility and Properties of Whole Numbers; (5) The…
Descriptors: Algebra, Arithmetic, Instructional Materials, Junior High Schools

Strand, Susan – Arithmetic Teacher, 1990
Discusses activities using base-10-block skits to teach number system concepts in first grade classrooms. Describes the students' responses to the activities. (YP)
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics

Gill, Alice J.; Thompson, Arlene – Journal of Mathematical Behavior, 1995
Illustrates the multiple strategies used by second graders to solve a problem with three addends and how their teacher tries to map their thinking into the system of mathematical notation. Describes the American Federation of Teachers' Thinking Mathematics program that the teacher uses. (MKR)
Descriptors: Addition, Arithmetic, Cognitive Mapping, Cognitive Processes

Kouba, Vicky L. – Journal for Research in Mathematics Education, 1993
Discusses the contributions in each chapter of the book, highlighting the textbook analyses for each arithmetic topic presented. (MDH)
Descriptors: Addition, Arithmetic, Book Reviews, Elementary Education
Palmer, Don; And Others – 1994
This manual is a dictionary of some 150 errors made by students in their work in mathematics. A precise definition and examples are given for each of these errors and these, combined with a description of common causes of the error, form a background for diagnosis of student problems with arithmetic. Teaching strategies and ideas, each linked to a…
Descriptors: Algorithms, Arithmetic, Educational Diagnosis, Elementary Education
Song, Myung Ja; Ginsburg, Herbert A. – 1986
Reasons which account for Asians' superiority in mathematics achievement are discussed in this paper. It is suggested that the regularity of the Oriental number system facilitates counting, calculation, and concepts. This paper reviews a study which sought to determine whether and how the structural regularity of a counting system affected the…
Descriptors: Arithmetic, Computation, Elementary Education, Elementary School Mathematics
Northwest Territories Dept. of Education, Yellowknife. Programs and Evaluation Branch. – 1981
Following instructions provided in the teacher's manual, the SCOPE Mathematics Achievement Test booklet for grade 2 presents 10 mathematical concepts. Testing items are: counting number of objects in a set to 100; using ordinals to the 31st; forming numerals correctly; writing number words to 10; identifying and naming the number of 10's and 1's…
Descriptors: Addition, Arithmetic, Computation, Criterion Referenced Tests