A model to identify the level of numeracy understanding of primary school pupils a case study

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.

[1]  Michael O. Martin,et al.  TIMSS 2003 Technical Report: Findings from IEA's Trends in International Mathematics and Science Study at the Fourth and Eighth Grades. , 2004 .

[2]  Nik Azis Nik Pa,et al.  Isu-isu kritikal dalam pendidikan matematik , 2008 .

[3]  J. Gerring.  A case study , 2011, Technology and Society.

[4]  Jane Watson.  Critical Numeracy in Context , 2008 .

[5]  Michael F. Charette,et al.  Literacy and numeracy , 1998, Global Education Monitoring Report 2020.

[6]  Sandra McNally,et al.  Numeracy And Mathematics , 2015 .

[7]  Gilbert J. Cuevas,et al.  MATHEMATICS LEARNING IN ENGLISH AS A SECOND LANGUAGE , 1984 .

[8]  Peter Westwood,et al.  What Teachers Need to Know About Numeracy , 2008 .

[9]  Nik Azis Nik Pa.  Pendekatan konstruktivisme radikal dalam pendidikan matematik , 1999 .

[10]  P. Freebody,et al.  Further notes on the four resources model , 1999 .

[11]  Ken Rowe,et al.  A Good Start to Numeracy : Effective Numeracy Strategies from Research and Practice in Early Childhood , 2003 .

[12]  James W. Stigler,et al.  An Analysis of Addition and Subtraction Word Problems in American and Soviet Elementary Mathematics Textbooks , 1986 .

[13]  Samsuri.  QUALITATIVE INQUIRY AND RESEARCH DESIGN Chapter Biography (power point summary) John W. Creswell , 2007 .

[14]  Mary K. Hoard,et al.  Numerical and arithmetical cognition: a longitudinal study of process and concept deficits in children with learning disability. , 2000, Journal of experimental child psychology.

[15]  H. Bass.  Mathematics, mathematicians, and mathematics education , 2005 .

[16]  V. Rhodes,et al.  EFFECTIVE TEACHERS OF NUMERACY , 1997 .

[17]  E. Glasersfeld.  Key Works in Radical Constructivism , 2007 .

[18]  K LiteracyCurriculum.  About National Literacy and Numeracy Week , 2006 .

[19]  Marco Furini,et al.  International Journal of Computer and Applications , 2010 .

[20]  Sudhir Gupta,et al.  Case Studies , 2013, Journal of Clinical Immunology.

[21]  John Bynner,et al.  Does Numeracy Matter More , 2006 .

[22]  R. Bogdan.  Qualitative research for education : an introduction to theory and methods / by Robert C. Bogdan and Sari Knopp Biklen , 1997 .

[23]  Carol Murphy,et al.  How Do Children Come to Use a Taught Mental Calculation Strategy? , 2004 .

[24]  V. Steinle.  Changes with Age in Student Misconceptions of Decimal Numbers , 2008 .

[25]  Anna O. Graeber.  Forms of Knowing Mathematics: What Preservice Teachers Should Learn. , 1999 .

[26]  Robert J. Wright,et al.  Early Numeracy: Assessment for Teaching and Intervention , 2000 .

[27]  Robert J. Wright,et al.  Teaching Number: Advancing Children's Skills and Strategies , 2002 .

[28]  Deborah Loewenberg Ball,et al.  Mathematical Proficiency for All Students: Toward a Strategic Research and Development Program in Mathematics Education , 2002 .

[29]  Donald D. Hoffman,et al.  Visual Intelligence: How We Create What We See , 1998 .

[30]  Richard Lesh,et al.  Rational number, ratio and proportion , 1992 .

[31]  Steven J. Chrostowski,et al.  TIMSS 2003 International Mathematics Report: Findings from IEA's Trends in International Mathematics and Science Study at the Fourth and Eighth Grades. , 2004 .

[32]  Robert E. Carlson,et al.  Assessing teachers' pedagogical content knowledge: Item development issues , 1990 .

[33]  Lorna Earl,et al.  Final Report of the External Evaluation of England's National Literacy and Numeracy Strategies. Final Report. Watching & Learning 3. , 2003 .

[34]  I. Thompson,et al.  Teaching Place Value in the UK: Time for a reappraisal? , 2000 .

[35]  Doug M. Clarke,et al.  Understanding assessing and developing young children's mathematical thinking: Research as a powerful tool for professional growth , 2001 .

[36]  Barbara Clarke,et al.  Mathematics teaching in grades K-2: painting a picture of challenging, supportive, and effective classrooms , 2004 .

[37]  Norman E. Wallen,et al.  How to Design and Evaluate Research in Education , 1990 .

[38]  Lynn Arthur Steen.  Every Teacher Is a Teacher of Mathematics. , 2007 .

[39]  Munirah Ghazali.  Kepekaan nombor dikalangan murid tahun lima , 2000 .

[40]  Cynthia E. Glidden.  How to Design and Evaluate Research in Education (2nd ed.). , 1993 .

[41]  E. Glasersfeld,et al.  You Have to Be Two to Start: Rational Thoughts About Love , 2006 .

[42]  Noraini Idris.  LINGUISTIC ASPECTOF MATHEMATICAL EDUCATION: HOW PRECISE DO TEACHERS NEED TO BE? , 2008 .

[43]  Mike Askew,et al.  The key role of educational Research in the development and evaluation of the national numeracy strategy , 2003 .

[44]  Ernst von Glasersfeld,et al.  The radical constructivist view of science , 2001 .

[45]  James T. Enns.  The Thinking Eye, the Seeing Brain: Explorations in Visual Cognition , 2004 .

[46]  Ruth M. Heaton,et al.  Teaching Mathematics to the New Standards: Relearning the Dance (Practitioner Inquiry Series) , 2000 .

[47]  Iddo Gal.  Adult Numeracy Development: Theory, Research, Practice. Series on Literacy: Research, Policy, and Practice. , 2000 .

[48]  Dewey I. Dykstra,et al.  The Challenge of Understanding Radical Constructivism , 2007 .

[49]  Ian Thompson,et al.  Issues in Teaching Numeracy in Primary Schools , 1999 .

[50]  D. Clarke,et al.  Supporting teachers in the development of young children’s mathematical thinking: Three large scale cases , 2005 .

[51]  Heather C. Hill,et al.  Effects of Teachers’ Mathematical Knowledge for Teaching on Student Achievement , 2005 .

[52]  Wolff‐Michael Roth.  Mathematical Inscriptions and the Reflexive Elaboration of Understanding: An Ethnography of Graphing and Numeracy in a Fish Hatchery , 2005 .

[53]  R. Skemp.  Relational Understanding and Instrumental Understanding. , 2006 .

[54]  Lynn Arthur Steen,et al.  Numeracy: The New Literacy for a Data-Drenched Society. , 1999 .

[55]  E. Glasersfeld.  Thirty Years Constructivism , 2005 .

[56]  S. Merriam.  Qualitative research in practice : examples for discussion and analysis , 2002 .

[57]  Diane J. Briars,et al.  USING A BASE-TEN BLOCKS LEARNING/ TEACHING APPROACH FOR FIRST- AND SECOND-GRADE PLACE-VALUE AND MULTIDIGIT ADDITION AND SUBTRACTION , 1990 .