References
Bobis, J. (1996).
Visualisation and the development of number sense with kindergarten children.
In Mulligan, J. & Mitchelmore, M. (Eds.) Children’s Number Learning: A Research Monograph of the Mathematics
Education Group of Australasia and the Australia Association of Mathematics
Teachers. Adelaide: AAMT.
Brownell, W. A. (1945). When
is arithmetic meaningful? Journal of
Educational Research, 38,
481-498.
Burns, M. (1989). “Teaching
for understanding: A focus on Multiplication”. In Trafton, P. R., & Shulte,
A. P. (Eds). New Directions for
Elementary School Mathematics. Reston, Virginia: NCTM; 123-134.
Burns, M. (1994). Arithmetic:
The last holdout. Phi Delta Kappan,
(February), 471-476.
Burton, G. M., Mills, A.,
Lennon, C., & Parker, C. (1993). Curriculum
and evaluation standards for school mathematics addenda series. Grades K-6:
Number sense and operations. National Council of Teachers of Mathematics,
Inc: United States of America.
Ekenstam, A. (1977). On
children’s quantitative understanding of numbers. Educational Studies in Mathematics, 8, 317−332.
Greeno, J. G. (1991). Number
sense as situated knowing in a conceptual domain. Journal for Research in Mathematics Education, 22(3), 170-218.
Hiebert, J. (1984). Children’s
mathematics learning: The struggle to link form and understanding. The Elementary School Journal, 84, 496-513.
Kyeleve & O. Chukwu
(Eds.), Globalisation trends in science,
mathematics and technical education (pp. 183−192). Gadong: Universiti
Brunei Darussalam.
Leutzinger, L. P. &
Bertheau, M. (1989). “Making sense of numbers”. In Trafton, P. R. & Shulte,
A. P. (Eds.). New Directions for
Elementary School Mathematics. Reston, Virginia: NCTM; 111-123.
Markovits, Z. & Sowder, J.
T. (1994). Developing number sense: An intervention study in grade 7. Journal for research in Mathematics
Education, 25, 4-49.
McIntosh, A., Reys, B. J. and
Reys, R. E. (1992). A proposed framework for examining basic number sense. For the learning of mathematics, 12: 2-8.
McIntosh, A., Reys, B., Reys,
R., Bana, J. and Farrell, B. (1997). Number
Sense in School Mathematics. Student Performance in Four Countries. Perth:
MASTE
Menon, R. (2004). Elementary school children’s number sense.
California: University Los Angeles. [On-line WWW]. Available: www.cimt.plymouth.ac.uk/journal/ramamenon.pdf
Nannested, C. L. (2002). The role of students’ perceptions in
modifying science and mathematics classroom activities. Unpublished PhD
thesis, Curtin University of Technology, Perth, Western Australia.
National Council of Teachers
of Mathematics (2000). Curriculum and
evaluation standards for school mathematics. Reston, VA: NCTM
National Research Council.
(1989). [On-line WWW]. Available: www.humboldt.edu/~dro1/elem/Number%20Sense.doc-
Noor Azlan Ahmad Zanzali &
Munirah Ghazali (1993). Assessment of
school childrens’ number sense [On-line WWW]. Available: http://math.unipa.it/~grim/ENoor8.PDF
Pirie, S. (1988).
Understanding: Instrumental, relational, intuitive, constructed, formalized …?
How can we know? For the learning of
Mathematics, 8(3), 2 – 6.
Plunkett, S. (1979). Decomposition
and all that rot. Mathematics in School,
8(3), 2-5.
Hajah Sainah binti Haji Nayan
& Suffolk, J. (1999). Errors Made by Bruneian Primary School Children in
Solving Word Problems. In Y. P. Leong & M. A. Clements (Eds.), Caltural
and Language Aspects of Science, Mathematics, and Technical Education (pp.
307 – 317). Gadong: Universiti Brunei Darussalam.
Sarina binti Haji Yahya.
(2004). Understanding of trigonometric
ratios in the enhancement of students’ performance in mathematics (Syllabus D).
Unpublished Master Dissertation. Gadong: Universiti Brunei Darussalam.
Schull, R. M. (1998). Investigation of the development of number
sense in seventh grade and eleventh grade students over a three year period of
time. Doctoral dissertation, Columbia: University of Missouri.
Singh, P. (2004). Gaps in
Children Mathematical Learning: Additive and Multiplicative. In I. P-A. Cheong,
H. S. Dhinsa, I. J. Kyeleve & O. Chukwu (Eds.), Globalisation trends in science, mathematics and technical education
(pp. 127−136). Gadong: Universiti Brunei Darussalam.
Skemp, R. R. (1987). The psychology of learning mathematics.
Hillsdale. NJ: Erlbaum.
Suydam, M. N., & Dessart,
D. J. (1976). Classroom ideas from
research on computational skills. Reston: National Council of Teachers of
Mathematics.
Tash, B. (in progress, 2006). Developing Number Sense. Paper scheduled
to be presented at a seminar of Creative Mathematics, held at United States
& Canada. [On-line WWW]. Available: www.creativemathematics.com/seminars/numbers.htm
Veloo, P. K., & Ali
Hamdani bin Hj Md Diah (2004). Instrumental instruction and its influence on
the development of number sense. In I. P. A. Cheong, H. S. Dhinsa, I. J.
Kyeleve & O. Chukwu (Eds.), Globalisation
trends in science, mathematics and technical education (pp. 183−192).
Gadong: Universiti Brunei Darussalam.
Verschaffel, L. & De
Corte, E. (1996). “Number and Arithmetic”
in A.J. Bishop (Eds), International Handbook of Mathematics Education pp
99-137, Kluwer Academic Publishers, Netherlands.
Yang, D-C., & Reys, R. E.
(2001). Developing number sense. Mathematics Teaching, Quarterly Journal of the Association of Teachers of
Mathematics, 174-177, 39-41.
Hajah Zurina bte Hj Harun.
(2004). The Teaching and Learning of Fractions and Decimals Concepts at
N-Level. In I. P-A. Cheong, H. S. Dhinsa, I. J. Kyeleve & O. Chukwu (Eds.),
Globalisation trends in science,
mathematics and technical education (pp. 193−202). Gadong: Universiti
Brunei Darussalam.