University of Pittsburgh School of Education

School of Education

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Gabriel Stylianides - Publications

 
Picture of Gabriel Stylianides
Gabriel Stylianides
School of Education
University of Pittsburgh
5517 Wesley W. Posvar Hall
Pittsburgh, PA 15260
PHONE: 412-648-1079
EMAIL: gstylian@pitt.edu

Book Chapters

  • Stylianides, G. J., & Silver, E. A. (2009). Reasoning-and-proving in school mathematics: The case of pattern identification. In D. A. Stylianou, M. L. Blanton, & E. J. Knuth (Eds.), Teaching and learning proofs across the grades: A K-16 perspective (pp. 235-249). New York, NY: Routledge.

Conference Proceedings/Yearbooks

  • Stylianides, G. J., & Stylianides, A. J. (2009). Ability to construct proofs and evaluate one's own constructions. In, Proceedings of the 19th International Commission on Mathematical Instruction: Proof and Proving in Mathematics Education, National Taiwan Normal University, Taipei, Taiwan, May 2009. ICMI Study Series 19, Springer.
  • Stylianides, G. J., & Stylianides, A. J. (2009). The mathematical preparation of teachers: A focus on tasks. In, Proceedings of the 6th Congress of the European Society for Research in Mathematics Education. Lyon, France.
  • Stylianides, A. J., & Stylianides, G. J. (2008). 'Cognitive conflict' as a mechanism for supporting developmental progressions in students' knowledge about proof. Article presented at, and available at the website of, the 11th International Congress on Mathematical Education, under Topic Study Group 18 (Reasoning, proof and proving in mathematics education) (http://tsg.icme11.org/tsg/show/19). Monterrey, Mexico.
  • Stylianides, G. J., & Stylianides, A. J. (2008). Enhancing undergraduate students' understanding of proof. Article in the Electronic Proceedings of the 11th Conference on Research in Undergraduate Mathematics Education, San Diego, CA.Link: More...
  • Stylianides, A. J., & Stylianides, G. J. (2007). The mental models theory of deductive reasoning: Implications for proof instruction. In D. Pitta-Pantazi, & G. Philippou (Eds.), Proceedings of the 5th Congress of the European Society for Research in Mathematics Education (pp. 665-674). Cyprus, Larnaca.
  • Stylianides, G. J., & Stylianides, A. J. (2006). Promoting teacher learning of mathematics: The use of 'teaching-related mathematics tasks'? in teacher education. In S. Alatorre, J. L. Cortina, M. Sáiz, & A. Méndez (Eds.), Proceedings of the 28th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 411-417). Mérida, Mexico: Universidad Pedagógica Nacional.
  • Silver, E. A., Charalambous, C. Y., Strawhun, B. F., & Stylianides, G. J. (2006). Focusing on teacher learning: Revisiting the issue of having students consider multiple solutions for mathematics problems. In S. Alatorre, J. L. Cortina, M. Sáiz, & A. Méndez (Eds.), Proceedings of the 28th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 294-301). Mérida, Mexico: Universidad Pedagógica Nacional.
  • Stylianides, A. J., & Stylianides, G. J. (2006). Content knowledge for mathematics teaching: The case of reasoning and proving. In J. Novotná, H. Moraová, M. Krátká, & N. Stehliková (Eds.), Proceedings of the 30th Annual Meeting of the International Group for the Psychology of Mathematics Education (Vol. 5, pp. 201-208). Prague, Czech Republic.
  • Stylianides, G. J., & Stylianides, A. J. (2006). 'Making proof central to pre- high school mathematics is an appropriate instructional goal': Provable, refutable, or undecidable proposition? In J. Novotná, H. Moraová, M. Krátká, & N. Stehliková (Eds.), Proceedings of the 30th Annual Meeting of the International Group for the Psychology of Mathematics Education (Vol. 5, pp. 209-216). Prague, Czech Republic.
  • Stylianides, A. J., Stylianides, G. J., & Philippou, G. N. (2005). Prospective teachers' understanding of proof: What if the truth set of an open sentence is broader than that covered by the proof? In H. L. Chick & J. L. Vincent (Eds.), Proceedings of the 29th Annual Meeting of the International Group for the Psychology of Mathematics Education (Vol. 4, pp. 241-248). Melbourne, Australia.
  • Stylianides, G. J., & Silver, E. A. (2004). Reasoning and proving in school mathematics curricula: An analytic framework for investigating the opportunities offered to students. In D. E. McDougall & J. A. Ross (Eds.), Proceedings of the 26th Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 611-619). Toronto, Canada: OISE/UT.
  • Stylianides, G. J., & Stylianides, A. J. (2004). Reconsidering the drag test as criterion of validation for solutions of construction problems in dynamic geometry environments. Available at the website of the 10th International Congress on Mathematical Education, under Topic Study Group 15 (http://www.icme-10.dk/). Denmark, Copenhagen.
  • Stylianides, G. J., Stylianides, A. J., & Philippou, G. N. (2003). Undergraduate students’ understanding of proof by mathematical induction. In T. Triantafyllides, K. Hadjikyriakou, P. Politis, & A. Chronaki (Eds.), Proceedings of the 6th Panellenian Conference on Didactics of Mathematics and Computers in Education (Volos, 2003) (pp. 150-158). University of Thessaly, Greece. (in Greek)
  • Stylianides, A. J., Stylianides, G. J., & Philippou, G. N. (2002). University students' conceptions of empirical arguments and proof by counterexample. In M. Tzekaki (Ed.), Proceedings of the 5th Panellenian Conference on Didactics of Mathematics and Computers in Education (Thessaloniki, 2001) (pp. 277-282). Aristotle University of Thessaloniki, Greece. (in Greek)
  • Stylianides, A. J., Stylianides, G. J., Philippou, G. N., & Christou, K. (2002). University students' conceptions about the use of computer in the proving process. In M. Tzekaki (Ed.), Proceedings of the 5th Panellenian Conference on Didactics of Mathematics and Computers in Education (Thessaloniki, 2001) (pp. 283-289). Aristotle University of Thessaloniki, Greece. (in Greek)
  • Stylianides, A. J., Stylianides, G. J., & Philippou, G. N. (2002). University students' conceptions of the contraposition equivalence rule. In Proceedings of the VII Conference of Pedagogical Society of Cyprus on Educational Research in the Era of Globalization (Nicosia, 2002) (Vol. B, pp. 241-250). Pedagogical Society, Cyprus. (in Greek)
  • Stylianides, A. J., Stylianides, G. J., Christou, K., & Georgiou, G. (2001). The transition from informal to formal proof. In A. Gagatsis & G. Makrides (Eds.), Proceedings of the 4th Pancyprian Conference on Mathematics Education (Larnaka, 2001) (pp. 81-92). Cyprus Mathematical Society, Cyprus. (in Greek)

Journal Articles

  • Stylianides, G. J. (2009). Reasoning-and-proving in school mathematics textbooks. Mathematical Thinking and Learning, 11(4), 258-288.
  • Stylianides, A. J., & Stylianides, G. J. (2009). Proof constructions and evaluations. Educational Studies in Mathematics, 72(2), 237-253.Link: More...
  • Stylianides, G. J., & Stylianides, A. J. (in press). Mathematics for teaching: A form of applied mathematics. Teaching and Teacher Education.
  • Stylianides, G. J., & Stylianides, A. J. (2009). Facilitating the transition from empirical arguments to proof. Journal for Research in Mathematics Education, 40(3), 314-352.Link: More...
  • Stylianides, A. J., & Stylianides, G. J. (2009). Learning about the nature of argument in mathematical and scientific contexts. Mediterranean Journal for Research in Mathematics Education, 8, 69-80.
  • Stylianides, A. J., & Stylianides, G. J. (in press). A type of parental involvement with isomorphic effect on urban children's mathematics, reading, science, and social studies achievement. Urban Education.
  • Stylianides, G. J., & Stylianides, A. J. (2008). Proof in school mathematics: Insights from psychological research into students' ability for deductive reasoning. Mathematical Thinking and Learning, 10(2), 103-133.Link: More...
  • Stylianides, A. J., & Stylianides, G. J. (2008). Studying the implementation of tasks in classroom settings: High-level mathematics tasks embedded in real-life contexts. Teaching and Teacher Education, 24(4), 859-875.
  • Stylianides, G. J. (2008). Proof in school mathematics curriculum: A historical perspective. Mediterranean Journal for Research in Mathematics Education, 7(1), 23-50.
  • Stylianides, G. J. (2008). An analytic framework of reasoning-and-proving. For the Learning of Mathematics, 28(1), 9-16.
  • Stylianides, G. J. (2007). Investigating the guidance offered to teachers in curriculum materials: The case of proof in mathematics. International Journal of Science and Mathematics Education, 6, 191-215.Link: More...
  • Stylianides, G. J., Stylianides, A. J., & Philippou, G. N. (2007). Preservice teachers' knowledge of proof by mathematical induction. Journal of Mathematics Teacher Education, 10, 145-166.Link: More...
  • Stylianides, A. J., & Stylianides, G. J. (2007). Learning mathematics with understanding: A critical consideration of the Learning Principle in the Principles and Standards for School Mathematics. The Montana Mathematics Enthusiast, 4(1), 103-114.
  • Stylianides, G. J., & Stylianides, A. J. (2005). Validation of solutions of construction problems in Dynamic Geometry Environments. International Journal of Computers for Mathematical Learning, 10, 31-47.Link: More...
  • Stylianides, A. J., Stylianides, G. J., & Philippou, G. N. (2004). Undergraduate students' understanding of the contraposition equivalence rule in symbolic and verbal contexts. Educational Studies in Mathematics, 55, 133-162.Link: More...