605
Views
11
CrossRef citations to date
0
Altmetric
Original Articles

Categorization and analysis of explanatory writing in mathematics

Pages 867-878 | Received 09 May 2011, Published online: 07 Oct 2011

References

  • Waywood , A . 1992 . Journal writing and learning mathematics . Learn. Math. , 12 ( 2 ) : 34 – 43 .
  • Waywood , A . 1994 . Informal writing-to-learn as a dimension of a student profile . Educ. Stud. Math. , 27 : 321 – 340 .
  • Clarke , DJ , Waywood , A and Stephens , M . 1993 . Probing the structure of mathematical writing . Educ. Stud. Math. , 25 : 235 – 250 .
  • Schoenfeld , AH . 1985 . Mathematical Problem Solving , Orlando, FL : Academic Press .
  • Kenyon , RW . 1989 . “ Writing is problem solving ” . In Writing to Learn Mathematics and Science , Edited by: Connolly , P and Vilardi , T . 73 – 87 . New York : Teachers College Press .
  • Stanic , GMA and Kilpatrick , J . 1989 . “ Historical perspectives on problem solving in the mathematics curriculum ” . In The Teaching and Assessing of Mathematical Problem Solving , Edited by: Charles , RI and Silver , EA . 1 – 22 . NJ : Lawrence Erlbaum Associates, Hillsdale .
  • Schoenfeld , AH . 1992 . “ Learning to think mathematically: Problem solving, metacognition and sense making in mathematics ” . In Handbook of Research on Mathematics Teaching and Learning , Edited by: Grouws , DA . 334 – 370 . New York : Macmillan .
  • Lester , FK . 1994 . Musings about mathematical problem-solving research: 1970–1994 . J. Res. Math. Educ. , 25 ( 6 ) : 660 – 675 .
  • Emig , J . 1977 . Writing as a mode of learning . Coll. Comp. Comm. , 28 ( 2 ) : 122 – 128 .
  • Applebee , AN . 1984 . Writing and reasoning . Rev. Educ. Res. , 54 ( 4 ) : 577 – 596 .
  • Bell , ES and Bell , RN . 1985 . Writing and mathematical problem solving: Arguments in favour of synthesis . School Sci. Math. , 85 ( 3 ) : 210 – 221 .
  • Gaskins , IW , Guthrie , JT , Satlow , E , Ostertag , J , Six , L , Byrne , J and Connor , B . 1994 . Integrating instruction of science, reading and writing: Goals, teacher development, and assessment . J. Res. Sci. Teach. , 31 ( 9 ) : 1039 – 1056 .
  • Pugalee , DK . 2001 . Writing, mathematics, and metacognition: Looking for connections through students’ work in mathematical problem solving . School Sci. Math. , 101 ( 5 ) : 236 – 245 .
  • Ellerton , NF and Clements , MA . 1992 . “ A research agenda for the “Writing Mathematics” movement ” . In Mathematics: Meeting the Challenge , Edited by: Horne , M and Supple , M . 153 – 159 . Melbourne : Mathematical Association of Victoria .
  • Cross , DI . 2009 . Creating optimal mathematics learning environments: Combining argumentation and writing to enhance achievement . Int. J. Sci. Math. Educ. , 7 : 905 – 930 .
  • Borasi , R and Rose , B . 1989 . Journal writing and mathematics instruction . Educ. Stud. Math. , 20 : 347 – 365 .
  • Glynn , SM and Muth , KD . 1994 . Reading and writing to learn science: Achieving scientific literacy . J. Res. Sci. Teach. , 31 ( 9 ) : 1057 – 1073 .
  • Mendez , B and Taube , SR . 1997 . Mathematics and writing: Linking problem solving and composing strategies . J. Coll. Read. Learn. , 27 ( 3 ) : 108 – 118 .
  • Shield , M and Galbraith , P . 1998 . The analysis of student expository writing in mathematics . Educ. Stud. Math. , 36 : 29 – 52 .
  • Pólya , G . 1945 . How to Solve It, , 2nd ed. , Princeton, NJ : Princeton University Press .
  • Berlinghoff , WP . 1989 . “ Locally original mathematics through writing ” . In Writing to Learn Mathematics and Science , Edited by: Connolly , P and Vilardi , T . 88 – 94 . New York : Teachers College Press .
  • Baker , L and Saul , W . 1994 . Considering science and language arts connections: A study of teacher cognition . J. Res. Sci. Teach. , 31 ( 9 ) : 1023 – 1037 .
  • Cooley , L . 2002 . Writing in calculus and reflective abstraction . J. Math. Behav. , 21 : 255 – 282 .
  • Leonard , WJ , Dufresne , RJ and Mestre , JP . 1996 . Using qualitative problem-solving strategies to highlight the role of conceptual knowledge in solving problems . Am. J. Phys. , 64 ( 12 ) : 1495 – 1503 .
  • Garofalo , J and Lester , FK . 1985 . Metacognition, cognitive monitoring, and mathematical performance . J. Res. Math. Educ. , 16 ( 3 ) : 163 – 176 .
  • Gopen , GD and Smith , DA . 1989 . “ What's an assignment like you doing in a course like this? Writing to learn mathematics ” . In Writing to Learn Mathematics and Science , Edited by: Connolly , P and Vilardi , T . 209 – 228 . New York : Teachers College Press .
  • Keys , CW . 1994 . The development of scientific reasoning skills in conjunction with collaborative writing assignments: An interpretive study of six ninth-grade students . J. Res. Sci. Teach. , 31 ( 9 ) : 1003 – 1022 .
  • Lew , DNM and Schmidt , HG . 2011 . Writing to learn: Can reflection journals be used to promote self-reflection and learning? . High. Educ. Res. Dev. , 30 ( 4 ) : 519 – 532 .
  • Morgan , C . 1998 . Writing Mathematically: The Discourse of Investigation , London : Falmer Press .
  • Nückles , M , Hübner , S , Dümer , S and Renki , A . 2010 . Expertise reversal effects in writing-to-learn . Instr. Sci. , 38 : 237 – 258 .
  • Ellerton , NF and Clarkson , PC . 1996 . “ Language factors in mathematics teaching and learning ” . In International Handbook of Mathematics Education , Edited by: Bishop , AJ , Clements , K , Keitel , C , Kilpatrick , J and Laborde , C . 987 – 1033 . The Netherlands : Kluwer Academic Publishers .
  • Ellerton , NF and Clements , MA . 1996 . “ Researching language factors in mathematics education: The Australasian contribution ” . In Mathematics Education Research in Australasia 1992–1995 , Edited by: Atweh , B , Owens , K and Sullivan , P . 191 – 235 . Sydney : Mathematics Education Research Group of Australasia .
  • Rivard , LP . 1994 . A review of writing to learn in science: Implications for practice and research . J. Res. Sci. Teach. , 31 ( 9 ) : 969 – 983 .
  • Craig , TS . Promoting understanding in mathematical problem-solving through writing: A Piagetian analysis, Ph.D. diss., University of Cape Town, 2007
  • McCartney , S . Making better problem solvers through oral and written communication, Math. Middle Inst. Partn. Action Res. Proj. Univ. Nebraska (2009), pp. 1–36. Available at http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1038&context=mathmidactionresearch (accessed May 2011)
  • Craig , TS . 2010 . Development of an engineering identity: Personal discovery of classroom mathematics in “real engineering” . Afr. J. Res. Math. Sci. Tech. Educ. , 14 ( 2 ) : 56 – 70 .

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.