Publication Cover
Education 3-13
International Journal of Primary, Elementary and Early Years Education
Volume 36, 2008 - Issue 4
611
Views
4
CrossRef citations to date
0
Altmetric
Articles

Building middle school students' understanding of proportional reasoning through mathematical investigation

Pages 383-392 | Received 06 Jul 2007, Published online: 22 Dec 2008

References

  • Cai , J. and Sun , W. 2002 . “ Developing students' proportional reasoning: A Chinese perspective ” . In Making sense of fractions, ratios, and proportions , Edited by: Litwiller , Bonnie and Bright , George . 195 – 205 . Reston, VA : National Council of Teachers of Mathematics .
  • Carpenter , T. P. and Lehrer , R. 1999 . “ Teaching and learning mathematics with understanding ” . In Mathematics classrooms that promote understanding , Edited by: Fennema , Elizabeth and Romberg , Thomas . 19 – 32 . New Jersey : Lawrence Erlbaum Publishers .
  • Cockcroft Report . 1982 . Mathematics counts: Report of the committee of inquiry into the teaching of mathematics in schools , London : HMSO .
  • Cramer , K. and Post , T. 1993 . Connecting research to teaching proportional reasoning . Mathematics Teacher , 86 ( 5 ) : 404 – 407 .
  • Cramer , K. , Post , T. and Curier , S. 1993 . “ Learning and teaching ratio and proportion: A research implication ” . In Research ideas for the classroom: Middle school grades , Edited by: Owens , Douglas . 159 – 178 . New York : MacMillan .
  • Erickson , S. 2003 . Proportional reasoning: Algebraic thinking series , Fresno : AIMS Education Foundation .
  • Greenes , C. and Fendell , C. 2000 . Groundworks: Algebraic puzzles and problems , Chicago, IL : Creative Publications .
  • Hiebert , J. 2005 . “ Signposts for teaching mathematics through problem solving ” . In Teaching mathematics through problem solving: Prekindergarten-grade 6 , Edited by: Frank , Lester Jr . 53 – 61 . Reston, VA : National Council of Teachers of Mathematics Publication .
  • Lambdin , D. V. 2005 . “ Benefits of teaching through problem solving ” . In Teaching mathematics through problem solving: Prekindergarten-grade 6 , Edited by: Frank , Lester Jr . 3 – 13 . Reston, VA : National Council of Teachers of Mathematics Publication .
  • Lamon , S. 2005 . Teaching fractions and ratios for understanding: Essential content knowledge and instructional strategies for teachers , New Jersey : Lawrence Erlbaum .
  • National Council of Teachers of Mathematics . 2000 . Principles and standards for school mathematics , Reston, VA : National Council of Teachers of Mathematics .
  • National Research Council . 2001 . Adding it up: Helping children learn mathematics , Washington, DC : National Academy Press .
  • NCTM. See National Council of Teachers of Mathematics
  • Skemp , R. 1989 . Mathematics in the primary school , London : Routledge .
  • Spinillo , A. and Bryant , P. 1999 . Proportional reasoning in young children: Part–part comparison about continuous and discontinuous quantity . Mathematical Cognition , 5 ( 2 ) : 181 – 197 .
  • Vanhille , L. and Baroody , A. 2002 . “ Fraction instruction that fosters multiplicative reasoning ” . In Making sense of fractions, ratios, and proportions , Edited by: Litwiller , Bonnie and Bright , George . 224 – 236 . Reston, VA : National Council of Teachers of Mathematics .
  • Vergnaud , G. 1983 . “ Multiplicative structures ” . In Acquisition of mathematics concepts and processes , Edited by: Lesh , R. and Landau , M. 127 – 174 . New York : Academic Press .
  • Weinberg , S. 2002 . “ Proportional reasoning: One problem, any solutions! ” . In Making sense of fractions, ratios, and proportions , Edited by: Litwiller , Bonnie and Bright , George . 138 – 144 . Reston, VA : National Council of Teachers of Mathematics .
  • Williams , M. , Forrest , K. and Schnabel , D. 2006 . Water wonders (Math by the Month) . Teaching Children Mathematics , 12 ( 5 ) : 248 – 9 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.