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Type :article
Subject :QA Mathematics
ISSN :2232-0393
Main Author :Ali Siti Rahaimah, Idris Noraini,
Title :A model to identify the level of numeracy understanding of primary school pupils a case study (IR)
Year of Publication :2012
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Abstract :
Numeracy knowledge is very important to learn from an early stage because of numeracy encompasses identifying numbers, basic computation, measurement, geometry, probability and statistics. Numeracy understanding level model is introduced to determine the level of a student in numeracy. There are four stages that have to be passed by all students to achieve understanding in numeracy, which is the one, de-coding, level two, acquisition of knowledge, level three, application and level four, analysis. Numeracy is a part of mathematics and is closely related to each other. In particular, numeracy is the ability to perform basic mathematical operations and understand simple mathematical ideas and apply knowledge and skills in mathematics in everyday life. Numeracy understanding determines students’ excellence at a higher level. This is because the basic understandings of numeracy in the classroom makes students are able to apply their knowledge of numeracy in everyday life.


Amin Salleh, M. A. (2001). Laporan Pembelajaran. Kuala Lumpur: Bahagian 

Perancangan dan Penyelidikan, Kementerian Pelajaran Malaysia.


Askew, M. B. (1997). Effective teachers of numeracy. London School of 



Ball, D. L. (1993). Halves pieces and twoths: constructing and using representational 

contexts in teaching fraction. In E. F. T.P Carpenter, Rational numbers: an 

intergration of research (pp. 157-195). Hillsdale: Lawrence Erlbaum.


Ball, D. (2002). Mathematical proficiency for all students: Toward a strategic 

research and development program in mathematics education. RAND 

Education/Science and Teknology Policy Institute.


Ball, D. (2003). What mathematical knowledge is necessary for teaching 

mathematics. USA: US Department of Education.


Bass, H. (2005). Mathematics, Mathematicians and Mathematics Education. 

Bulletin of the American Mathematics Sociaty 42 (14), 417-430.


Behr, M. H. (1992). Rational number, ratio and proportion. Dlm D.A Grouws 

(Ed). Handbook of research on mathematics teaching and learning: A project 

of the National Council of Teachers of Mathmematics. 209-333.


Bobies, J. C. (2005). Supporting teachers in the development of young children’s 

mathematical thinking:Three Large scale cases. Mathematics Education 

Research Journal 16(3), 27-57.


Bogdan, R. &. (2003). Qualitative research for education: An introduction to 

theories and methods (4 ed). Boston: Allyn and Bacon.


Brown, M. A. (2003). The key role of educational research in the development 

and evaluation of the National Numeracy Strategy. British Educational 

Research Journal 29(5), 663-680.


Carol Murphy (2004). How the Children come to use a taught mental calculation 

strategy? Educational Studies in Mathematics 56(1), 3-18.


Carlson, R. (1990). Ssessing teachers’ pedagogical content knowledge: Item 

development issues. Journal of Personal Evaluation in Education,4, 



Clandinim, D. J. (2005). Personal Practices knowledge: A study of teachers’classroom 

images. Curriculum Inquiry 15 (4), 362-385.


Clarke, D (2004). Mathematics teaching in Grades K-2: Painting a picture of 

challenging, supportive and effective classrooms. In R.N Rubenstien & G.W 

Bright (Eds). Perspectives on the teaching of mathematics (66th Yearbook of 

the National Council of Teachers of Mathematics. Reston,VA:NCTM.


Clarke, D (2006) Proceedings of the 24th Annual Confeernce ot the Mathematics 

Education Research group of Australasia, Vol 1). Understanding assessing 

and developing young children’s mathematical thinking: Research as powerful 

tool for profesional growth. In J. Bobis, B Perry & M. Mitchelmore (Eds). 



Coles, D. &. (2002). Numeracy and mathematics across the primary curriculum.

London: Fulton.


Doig, B. M. (2003, january 31). A good start to numeracy: Effective numeracy 

strategies from research and practice in early chilhood. Retrieved Februari 17, 

2012, from start.pdf.


Fosnot, C. &. (2007). Mini lessons for extending addition and subtractions a 

yearlong resource, contexts for learning, k-3. Portsmounth: Nh:Heinemann.


Fuson, K. &. (1990). Using a base-ten bloks learning/teaching approach for 

first and second-grade place value and multi-digit addition and subtraction . 

Journal for research in mathematics education 21, 180-206.


Fuson, K. (2003). Developing mathematical power in whole number operation. In 

J. kilpatrick w.g. Martin and D. Schiffer. A research companion to principles 

and standards for school mathematics, 68-98.


Geary, D. (2000). The development of numerical and arithmetical cognitif: A 

longitudinal study of process and concept deficits in children with learning 

disability. Journal of Experimental Child Psychology, 77, 236-263.


Munirah Ghazali, (2000). Kajian Kepekaan nombor murid tahun lima. tesis Phd. 

tidak diterbitkan. Johor: Universiti Teknologi Malaysia.


Ginsburg, L. (2000). Instructional straregies for adult numeracy education. Adult 

numeracy development:Theory, research. practise, 89-114.

Van Glaserfeld, V. (1987b). Preliminaries to any theory of representation. Dlm 

C. Janvier (ed), Problems of representation in the teaching and learningof 

mathematics. 215-225.


Van Glaserfeld (2007). Radical Constructic. London: The falmer.


Van Glaserfeld (2006). You Have to be two to start: Rational Thoughts About 

Love. Contructivist Foundations 2 , 1-5.


Van Glasersfeid (1995). Radical Contructivisim: A Way of knowing and leraning.

Hog Kong: The Falmer.


Van Glasersfeld (2005). Thirty Years Radical Contructivism. Constructivist 

Foundations 1 (1) , 9-12.


Van Glasesrfeld (2001). The radical constructivisme view of science, foundation 

of science 6. 31-43.


Graeber. (1999). Forms of knowing mathematics: what preservice teachers should 

learn . educational studies in mathematics, 38 (1-3) , 189-208.


H Wu (2005). Mathematic, mathematician and mathematics education. Bulletin 

(New Series) of the American Mathematical Society 424 , 417-430.


Russell, & Martin (2001). Teacher’s knowledge and how it develops. In V. 

richardson (ed). Handbook of research on teaching , 433-436.


Heather C Hill & Brian Rowan (2005). Effects of teachers mathematical knowledge 

for teaching on student achievement. American educational Research Journal 

42 (2), 371-406.


Heaton, R. (2000). Teaching Mathematics to the new standards: relearning .

New York: College Press.


Higgin, J. (2001). An evaluation of the advanced numeracy project . New 

Zealand: Wllington, Ministry of Education.


Higgin, J. (2002). An evaluation of the advanced Numeracy Project. New 

Zealand: Wwllington, Ministry of Education.


Hill, H. Rowan (2005). Effects of Teachers’ Mathematical Knowledge for Teaching 

on Student Achievement. America Educational Research Journal42(2), 



Hogan, J. (2000). Numeracy across the curiculum? Autralian Mathematics 

Teachers Association Journal 56(3), 17-20.


Noraini Idris (2000). Linguistik aspects of mathematical education: How 

precise do teachers need to be? In Cultural and Language Aspects of 

Science,Mathematics and TechnicalEducation. Universiti Brunai Darulsalam.


Noraini Idris (2004). Mathematics learning in English as a second language. 

Diges Pendidik, 4(1), 64-72.


Noraini Idris(1994). Pengajaran dan pembelajaran matematik untuk sekolah 

rendah. Kuala Lumpur: Dewan Bahasa dan Pustaka.


Noraini Idris (2009). Penyelesaian masalah daya penggerak dalam pengajaran 

dan pembelajaran. Persidangan Kebangsaan Pendidikan Matematik. Sungai 

Petani: Institut Pendidikan Guru Malaysia.


Kilpatrick, J. S. (2001). All adding it up: Helping children learnmathematics.

Whingston Dc: Nasional Academic Press.


Margaret Brown (2000). What kinds of teaching and what other factors accelerate 

promary pupil’s progress in acquiring numeracy? ACER Research.


Heaton R.M (2000). Teaching Mathematics to the new standard: Re learning to 

dance. New York: Teaching College Press.


Kementerian Pelajaran Malaysia (2010). Bengkel Kajian Semula Pelan Induk 

Pembangunan Pendidikan. Teks Ucapan.


Kementerian Pelajaran Malaysia (2009). Huraian Sukatan Pelajaran Matematik 

Tahun 4. Kuala Lumpur: Pusat Perkembangan Kurikulum.


Kementerian Pelajaran Malaysia Malaysia, K. P. (2003). Kurikulum Bersepadu 

Sekolah Rendah: Huraian Sukatan Pelajaran Matematik Tahun 4. Kuala 

Lumpur: Pusat Perkembangan Kurikulum.


Lembaga Peperiksaan Malaysia (2011). Analisa prestasi dan gred purata 

matematik. Kuala Lumpur: Lembaga Peperikasaan Malaysia.


Matthijsse, W. (2000). Adult numeracy at the elementary level: Addition 

and subtraction up to 100. In G. Iddo, Adult Numeracy Development: 

Theory,research, practise (pp. 133-155). UK.


Muir, T. (2008). Describing effective teachig of numeracy links between 

principles of practice and teachers actions. 11th International Conference on 

Mathematics Education (ICMG-11) for study group2 New development and 

trends in mathematics education of primary level. Monterry, Mexico.


Munirah, G. (2000). Kajian Kepekaan Nombor Murid Tahun LIma. Johor: 



Munirah, G (2003). Development of a framework to assess primary students 

number sense in Malaysia: Counting. SEMT, International Senior For 

Elementary Mathematics. Repbuplic Czes: Charles University.


NCTM. (2000). Principles and standard for school mathematics. USA: Reston, 

Va Author.


O’Donoghue, J. (2002). Numeracy and Mathematics. Math. Soc. Bulletin 48, 



Perry, M. (2000). Explanations of mathematicsal concepts in Japanese, Chinese, 

and U>S first and fifth-grade classrooms. Cognition and Instruction, 18, 



Reys, R. ,. (2007). Helping children learn mathematics (9ed). New York: John 

Wiley & Sons.


Reys, R. L. (2006). Helping children lear mathematics (6 ed). New York: John 

Wiley & Sons.


Department of skill (2011). Literacy And Numeracy. Dublin: Department of 

Education and Skill.


Steen, L. A. (1999). Numeracy: The New Literacy for a Data-Drenchea Sociaty. 

Educational Leadership, Volume 57, number 2.


Steen, L. (2007). Every teacher is a teacher of mathematics. Principlsl 

Leadership,7,5 , 16-20.


Steffe L.P & Thompsom, P. (2000). Teaching experiment methodology: underlying 

principles and essencial elements in R. Lesh & A.E Kelly (Eds). Research 

design in mathematics and science education, 267-307.


Strategy Numerasi Kebangsaan. (2011). Primary framework for literacy and 

mathematics. Department of eductional and skill.


Thomas, G. a. (2008). What do the 2002 school entrants know now?. In finding 

from the numeracy development project 2007. Wellington: Learning Media.


Thompson, I. (2000). Teaching Place Value in the UK: Time for reappraisal? 

Educational Review. 52(3) , 291-298.


TIMSS. (2011). Assessment Frameworks. TIMSS.

Curriculum Development and Planning (2001). Count Me in Too: Profesional 

development package. Sydney: NSW Department of education & Training 

Curriculum Directorate.


Von Glasersfeld & Larochelle, M (2007). Key works in radical constructivism.

New York: Sense Publishers.


Wallance.D. (2000). The many needs to numeracy. In M.J Burk & F.R curcio 

(Eds) learning mathematics for a new centry. Reston.


Westwood, P. (2008). What teachers need to know about numeracy. Australia: 

ACER press.


Wikipedia. (2011, Disember 6). Retrieved 

Disember 6, 2011, from ht://


Wright, B. M. (2002). Teaching number advancing children’s skills and strategies.

London: Paul Chapman.


Wright, R. M. (2000). Early numeracy: Assessment for teaching and intervention.

London: Chapman.

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