Abstract
The number line is often recommended as an aid for the teaching of whole number addition and subtraction. The possible stages in young children's use of the aid are described, as is their ultimate outgrowing of this aid.
Number line diagrams are also used in diagnostic and achievement test items to assess the understanding of whole number addition. This practice is discussed and criticised with the aid of the empirical findings of the second NAEP. Finally the wider role of number line diagrams in mathematics teaching is outlined.
Similar content being viewed by others
References
Assessment of Performance Unit: 1980, 1981, 1982, Mathematical Development: Primary Survey Reports No. 1, 2, 3, Secondary Survey Reports No. 1, 2, 3, Her Majesty's Stationery Office, London.
Baron, M. E.: 1973, Number in Elementary Mathematics, Hutchinson, London.
Billstein, R., Libeskind, S., and Lott, J. W.: 1984, A Problem Solving Approach to Mathematics for Elementary School Teachers, Benjamin/Cummings, Menlo Park, California.
Board of Education for the Borough of North York: undated, Guidelines for Developing a Mathematics Programme K-6, The Board of Education for the Borough of North York, Toronto, Ontario.
Carpenter, T. P. et al.: 1981, Results from the Second Mathematics Assessment of the National Assessment of Academic Progress, National Council of Teachers of Mathematics, Reston, Virginia.
Carr, K. and Katterns, B.: 1984, Mathematics in School, 13(4), 30–34.
Ernest, P.: 1983, Mathematical Education for Teaching, 4(2) 30–40.
Essex Education Committee: undated, The Impact of Modern Mathematics on Primary Schools, Essex County Council, Essex.
Georgia Department of Education: 1971, Mathematics for Georgia Schools, Volume 1: Primary Grades, Georgia Department of Education, Atlanta, Georgia.
Hart, K. M. (ed.): 1981, Children's Understanding of Mathematics: 11–16, John Murray, London.
Heddens, J. W.: 1971, Today's Mathematics: A Guide to Concepts and Methods in Elementary School Mathematics, Science Research Associates, Palo Alto, California.
Liebeck, P.: 1984, How Children Learn Mathematics, Penguin, Harmondsworth.
Marks, J. L., Purdy, C. R., and Kinney, L. B.: 1970, Teaching Elementary School Mathematics for Understanding, McGraw-Hill, New York.
Paige, D. D., Thiessen, D., and Wild, M.: 1982, Elementary Mathematical Methods, Wiley, New York.
Reisman, F. K.: 1982, A Guide to the Diagnostic Teaching of Arithmetic, Charles E. Merrill, Columbus, Ohio.
Resnick, L. B. and Ford, W. B.: 1981, The Psychology of Mathematics for Instruction, Lawrence Erlbaum Associates. Hillsdale, New Jersey.
Riedesel, C. A. and Burns, P. C.: 1977, Handbook for Exploratory and Systematic Teaching of Elementary School Mathematics, Harper and Row, San Francisco.
Spencer, P. L. and Brydegaard, M.: 1966, Building Mathematical Compentence in the Elementary School, Holt, Rinehart and Winston, New York.
Underhill, B., Uprichard, E. and Heddens, J.: 1982, Diagnosing Mathematical Difficulties, Charles E. Merrill, Columbus, Ohio.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Ernest, P. The number line as a teaching aid. Educ Stud Math 16, 411–424 (1985). https://doi.org/10.1007/BF00417195
Issue Date:
DOI: https://doi.org/10.1007/BF00417195