Publication Cover
PRIMUS
Problems, Resources, and Issues in Mathematics Undergraduate Studies
Volume 19, 2009 - Issue 5
262
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Creating a Proof Error Evaluation Tool for Use in the Grading of Student-Generated “Proofs”

Pages 447-462 | Published online: 04 Sep 2009

REFERENCES

  • Anderson , J. R. , Corbett , A. T. , Koedinger , K. R. and Pelletier , R. 1995 . Cognitive tutors: Lessons learned . Journal of the Learning Sciences , 4 : 167 – 208 .
  • Balacheff , N. 1988 . “ Aspects of proof in pupils' practice of school mathematics ” . In Mathematics, Teachers and Children , Edited by: Pimm , D. 216 – 230 . London : Hodder and Stoughton .
  • Black , P. and William , D. 1998 . Evaluation and classroom learning . Evaluation in Education. , 5 ( 1 ) : 7 – 74 .
  • Chazan , D. 1993 . High School geometry students' justification for their views of empirical evidence and mathematical proof . Educational Studies in Mathematics. , 24 : 359 – 387 .
  • De Villers , M. D. 1999 . Rethinking proof with the Geometer's Sketchpad , Emeryville, CA : Key Curriculum Press .
  • Driscoll , M. P. 2000 . Psychology of learning for instruction , Boston, MA : Allyn and Bacon .
  • Frazer , R. C Sr. 1970 . A comparison of an implicit and two explicit methods of teaching mathematical proof via abstract groups using selected rules of logic . Dissertation Abstracts International. , 30 : 5317A
  • Gibson , D. 1998 . Students' use of diagrams to develop proofs in an introductory analysis course . CBMS Issues in Mathematics Education: Research in Collegiate Mathematics Education. , III : 284 – 307 .
  • Gutstein , E. , Lipman , P. , Hernandez , P. and de los Reyes , R. 1997 . Culturally relevant mathematics teaching in a Mexican American context . Journal for Research in Mathematics Education. , 28 : 709 – 737 .
  • Harel , G. and Sowder , L. 1998 . Students' proof schemes . CBMS Issues in Mathematics Education: Research in Collegiate Mathematics Education. , III : 234 – 283 .
  • Healy , L. and Hoyles , C. 2000 . A study of proof conceptions in algebra . Journal for Research in Mathematics Education. , 31 : 396 – 428 .
  • Henderson , C. , Yerushalmi , E. , Kue , V. H. , Heller , P. and Heller , K. 2004 . Grading student problem solutions: The challenge of sending a consistent message . American Journal of Physics. , 72 ( 2 ) : 164 – 169 .
  • Herzig , A. 2002 . Where have all the students gone? Participation of doctoral students in authentic mathematical activity as a necessary condition for persistence toward the Ph.D . Educational Studies in Mathematics. , 50 : 177 – 212 .
  • McCrone , S. M. S. and Martin , T. S. 2004 . Assessing high school students' understanding of geometric proof . Canadian Journal of Science, Mathematics, and Technology Education. , 4 : 223 – 242 .
  • Mckendree , J. 1990 . Effective feedback content for tutoring complex skills . Human-Computer Interaction. , 5 : 381 – 414 .
  • Moore , R. C. 1994 . Making the transition to formal proof . Educational Studies in Mathematics. , 27 : 249 – 266 .
  • National Council of Teachers of Mathematics . 2000 . Principals and standards for school mathematics , Reston, VA : Author .
  • Novak , G. , Patterson , E. , Gavrin , A. and Christian , W. 1999 . Just-in-time teaching: Blending Active learning with web technology , Saddle River, NJ : Printice-Hall .
  • Patton , M. Q. 2002 . Qualitative research & evaluation methods , Thousand Oaks, CA : Sage .
  • Schoenfeld , A. H. 1988 . When good teaching leads to bad results: The disasters of ‘well-taught’ mathematics courses . Educational Psychologist , 23 : 145 – 166 .
  • Selden , A. and Selden , J. 2003 . Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem? . Journal for Research in Mathematics Education , 34 : 4 – 36 .
  • Senk , S. L. 1985 . How well do students write geometry proofs? . Mathematics Teacher , 78 : 448 – 456 .
  • Sowder , L. and Harel , G. 2003 . Case studies of mathematics majors' proof understanding, production, and appreciation . Canadian Journal of Science, Mathematics and Technology Education. , 3 : 251 – 267 .
  • Strauss , A. and Corbin , J. 1998 . Basics of qualitative research: Techniques and procedures for developing grounded theory , London : Sage .
  • Stylianides , A. J. , Stylianides , G. J. and Philippou , G. N. 2004 . Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts . Educational Studies in Mathematics. , 55 : 133 – 162 .
  • Thompson , D. R. 1996 . Learning and teaching indirect proof . Mathematics Teacher , 89 : 474 – 482 .
  • Uhlig , F. 2002 . The role of proof in comprehending and teaching elementary linear algebra . Educational Studies in Mathematics. , 50 : 335 – 346 .
  • Weber , K. 2002 . Student difficulty in constructing proofs: The need for strategic Knowledge . Educational Studies in Mathematics. , 48 : 101 – 119 .
  • Williams , E. 1980 . An investigation of senior high school students' understanding of the nature of mathematical proof . Journal for Research in Mathematics Education. , 11 : 165 – 166 .
  • Wu , H. 1996 . The role of Euclidean geometry in high school . Journal of Mathematical Behavior. , 15 : 221 – 237 .

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.