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Ross, Sharon Hill – 1986
The goal of this study was to describe characteristic stages in the development of children's understanding of place value. Sixty children (15 in each grade, 2 through 5) at 5 elementary schools in Butte County, California, were individually administered 18 tasks designed to reveal their thinking about place value and part-whole relations. On six…
Descriptors: Concept Formation, Educational Research, Elementary Education, Elementary School Mathematics
Begle, E. G.; And Others – 1975
Examined were the effects of varying the number of practice problems in a programed unit on negative bases designed for high school students. A sample of 421 students from grades 9 through 12 was divided into three groups on the basis of amount of mathematics coursework completed. Students were given four pretests (numeration, arithmetic…
Descriptors: Educational Research, Instruction, Integers, Learning Activities
Allen, Charles; And Others – 1970
Developed by a committee of the National Council of Teachers of Mathematics, this publication is designed to help teachers provide interesting and worthwhile learning opportunities for slow learners in grades five through eight. It employs a variety of teaching strategies, many not commonly known or practiced, which are particularly helpful with…
Descriptors: Arithmetic, Elementary School Mathematics, Instruction, Instructional Materials
Secondary School Mathematics Curriculum Improvement Study, New York, NY. – 1968
This is Part 1 of the first course in a series which focuses on building fundamental mathematical structures. The arithmetic studied in elementary school along with modular arithmetic is examined and set notation and mappings of sets are presented. Mathematical group structures are introduced. Points and numbers are related both on a line and in a…
Descriptors: Algebra, Curriculum Development, Instructional Materials, Modern Mathematics
Topics in Mathematics for Elementary School Teachers, Booklet Number 11, The System of Real Numbers.
Beckenbach, Edwin F.; And Others – 1968
This booklet has been written for elementary school teachers as an introductory survey of the real number system. The topics which are developed include the number line, infinite decimals, density, rational numbers, repeating decimals, irrational numbers, approximation, and operations on the real numbers. (RS)
Descriptors: Elementary School Mathematics, Elementary School Teachers, Mathematical Concepts, Mathematics
Stanford Univ., CA. School Mathematics Study Group. – 1971
The third student text in this SMSG series of 14 covers the following topics from number theory: the division algorithm, divisibility, prime numbers, prime factorization, common divisors and common multiples, and properties of the whole number system. A second chapter discusses properties and operations with integers. For a special edition of this…
Descriptors: Curriculum, Instruction, Instructional Materials, Integers

Rosenberg, Herman – School Science and Mathematics, 1976
The early use of the distributive law can aid students in learning addition of fractions and provide rapid approaches to computation involving other operations. (SD)
Descriptors: Addition, Algorithms, Elementary Education, Elementary School Mathematics

Dubbey, J. M. – Mathematics in School, 1976
Described is mathematics used by the ancient Babylonians and recorded on tablets which have been dated 3000-2000 B.C., and 700-500 B.C. (SD)
Descriptors: Algebra, Geometry, Mathematical Enrichment, Mathematics Education
Bartolini, Pietro – Mathematics Teaching, 1976
An instructional sequence in which number lines and beads are used to illustrate addition and subtraction of directed numbers is described. (SD)
Descriptors: Addition, Elementary Education, Elementary School Mathematics, Instruction

Johnson, R. W.; Waterman, M. S. – International Journal of Mathematical Education in Science and Technology, 1976
In a thesis written for the Doctor of Arts in Mathematics, the connection between Euclid's algorithm and continued fractions is developed and extended to n dimensions. Applications to computer sciences are noted. (SD)
Descriptors: Algorithms, College Mathematics, Computers, Doctoral Dissertations

Avesar, Charlotte; Dickerson, Donald J. – Journal of Experimental Child Psychology, 1987
Examines the factors influencing the use of a plan by four- and five-year-old children to judge the relative number of two sets by one-to-one correspodence. Results suggest that most children have one-to-one plans in long-term memory by age four. (Author/RWB)
Descriptors: Evaluative Thinking, Logical Thinking, Long Term Memory, Mathematical Concepts

Burton, Grace M. – Arithmetic Teacher, 1984
Describes various aids and activities to help in planning lessons that will encourage the development of sound place value knowledge. Also discusses various instructional strategies to help students avoid problems which may lead to an incomplete or faulty understanding of place value. (JN)
Descriptors: Computation, Elementary Education, Elementary School Mathematics, Mathematics Education
Minshall, B. W. – Didaskalos, 1976
An explanation is given for the development of the Roman numeral system in terms of the smallest number of marks required to enumerate items. (RM)
Descriptors: Alphabets, Arabic, Graphemes, Greek

Arpaia, Pasquale J. – Mathematics Teacher, 1974
Descriptors: Discovery Learning, Instruction, Mathematical Enrichment, Multiplication
Barney, LeRoy – Today's Education, 1973
Arithmetic reading can be made lighter if teacher explains vocabulary, selects simple text, and aids in improving reading skills. (DS)
Descriptors: Arithmetic, Mathematical Vocabulary, Mathematics Curriculum, Mathematics Instruction