References

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Anderson, P. (1998). //Years 1-7 mathematics syllabus support document :// //a content core for a school-based program in Queensland primary schools//. Department of Education Brisbane, Queensland. Retrieved from CQUniversity e-courses, EDCU11022 Numeracy in Action, [|http://moodle.cqu.edu.au]

Australian Curriculum, Assessment and Reporting Authority (ACARA), (2012). //Australian curriculum: Mathematics.// Retrieved from [|http://www.acara.edu.au]

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Australian Curriculum, Assessment and Reporting Authority (ACARA), (2012). //Year 1 mathematics: Student portfolio summary//. Retrieved from []

Australian Curriculum, Assessment and Reporting Authority (ACARA), (2012). //Year 4 mathematics: Student portfolio summary.// Retrieved from []

Australian Curriculum, Assessment and Reporting Authority (ACARA), (2012). //Year 5 mathematics: Student portfolio summary.// Retrieved from []

Booker, G., Bond, D., Sparrow, L., & Swan, P. (2004). //Teaching primary mathematics// (3rd ed.) French Forest, NSW: Pearson Education Australia.

Booker, G., Bond, D., Sparrow, L., Swan, P. (2010). //Teaching primary mathematics// (4th ed.). Frenchs Forest, NSW: Pearson

Cooper, T., Nuyen, A., & Baturo, A. (2003). //An expert analysis of the rich tasks in relation to teaching mathematics years 1-9.// Retrieved from http://education.qld.gov.au/corporate/newbasics/pdfs/richtaskrep3-final-8.4.03.pdf

Department of Education, Science and Training (DEST). (2004). //Understanding place value: A case study of the base ten game//. Retrieved from http://www.dest.gov.au/NR/rdonlyres/5D4B0095-AA36-4ED9-BD50-07A931B22C91/1645/understanding_place_value.pdf

Department of Education and Training. (2007). Mathematics K-6: program support. Retrieved from http://www.curriculumsupport.education.nsw.gov.au/primary/mathematics/k6/programming/program_support/fractions/ws_fract_s3.html

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Department of Education, Employment and Workplace Relations (DEEWR). (2010). //Teaching and learning. clever-skilled-creative. Teaching mathematics.// Retrieved from http://education.qld.gov.au/curriculum/roadmap/index.html

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Early Years Montessori School. (n.d.). //The Montessori curriculum//. Retrieved from []

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Education Queensland. (2010). Fraction, decimal and percentage (Years 3 to 6). Retrieved from []

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Holt, H. (2011). //Exploring Fractions and Misconceptions.// Retrieved from, <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[|www.skillsworkshop.org/.../E3-L220**Fractions**20]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Kerlake, D. (1986). //Fractions: Students' strategies and errors.// Windsor, England: NEFR-Nelson. Retrieved from, <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Marzano, R. J., & Pickering, D. J. (with Arrendondo, D. E., Paynter, D. E., Blackburn, G. J., Brandt, R. D., … Whistler, J. S.). (2009). Dimensions of learning teacher’s manual (2nd ed.). Moorabbin, VIC: Hawker Brownlow Education.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">McLeod, R., & B, Newmarch. (2006). //Fractions.// National Research and Development Centre. London: United Kingdom. Retrieved from, <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">National Centre for Excellence in the Teaching of Mathematics. (NCETM). (2012). //Misconceptions in Mathematics.// Retrieved from: []

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">New South Wales Board of Studies. (n.d). //Fractions, decimals and percentages//. Retrieved from http://draftsyllabuses.bos.nsw.edu.au/mathematics/mathematics-k10/content/780/

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Ontario Ministry of Education and Training. (2003). //A guide to effective instruction in Mathematics: Number sense and numeration.// Retrieved from []

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Ontario Ministry of Education and Training. (n.d.). //A guide to effective instruction in Mathematics:Volume one foundations of mathematics instruction.// Retrieved from []

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Sadi, A. (2007). //Misconceptions in Numbers//. Retrieved from http://www.ugru.uaeu.ac.ae/UGRUJournal/UGRUJournal_files/SR5/MIN.pdf

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Siegler, R et al. (2010). //Developing Effective Fractions Instruction for Kindergarten Through 8th Grade.// National Center for Education Statistics. Retrieved from <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[]

<span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Siemon,D., Beswick,K., Brady,K., Clark, J., Faragher, R., & Warren, E. (2011). //Teaching mathematics: Foundations to middle years.// South Melbourne, VIC: Oxford University Press

<span style="color: #000000; font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Sadi, A. (2007). //Misconceptions in Numbers.// UGRU Journal, Vol. 5. Retrieved from: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Steinle, V. (n.d). //Detection and remediation of decimal misconceptions//. Retrieved from http://gismo.fi.ncsu.edu/version1/files/articles/561ded4202ff15af02d70f63126135f4.pdf

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Teaching and Learning Research Programme (TLRP), (2006). //Fractions: Difficult but crucial in mathematics learning//. Retrieved from <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">The University of Melbourne. (2011). //Foundations of teaching arithmetic online sample: Teaching connections for fractions//. Retrieved from <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">The University of Melbourne. (2004). //Teaching and Learning about decimals: Summary of misconceptions and decimal numbers.// Retrieved from <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[|http://extranet.edfac.unimelb.edu.au/DSME/decimals/SLIMversion/tests/miscon.shtml#apparent]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">University of Cambridge. (2007). //Teaching fractions with understanding: Part-whole concept//. Retrieved from []

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Zipf, R. (2012). //Fractions and Decimals// [PowerPoint slides]. Retrieved from CQUniversity e-courses, EDCU11022 Numeracy in Action, http://moodle.cqu.edu.au