B.Sc. (S'ton); Dip.Ed. (Wales); M.A. (Lond.); M.Phil. (Cantab.)
Honorary Associate Professor

 

Teaching Areas

Mathematics education; Mathematics content courses

 

Research Interests
  • Pupil strategies in mathematical problem-solving;

  • Impact of dynamic geometry software on the teaching and learning of geometry;

  • Investigating a 'Chinese pedagogy' of mathematics teaching;

  • Supervisor/student/mentor interactions in Teaching Practice conferencing

 

Research Projects
  • Quality Classroom Practice in Mathematics: An International Collaborative Study of the Eighth Grade. RGC funded for 3 years from 2002 (under P.I. Dr. F.K.S.Leung)

  • The Chinese Pedagogy of Mathematics Education: An inquiry into its characteristics through international comparisons. RGC funding of HK$808,000 for 2 years starting October 2000 (under P.I. Dr. Frederick Leung)

  • An Investigation into the Impact of School-University Partnerships in Teacher Education in Hong Kong. RGC funding of HK$808,000 for 2 years from November 2000 (under P.I. Dr. Jeffrey Day)

  • An Analysis of Problem-solving Processes in a Dynamic Geometry Environment. Department funding of HK$59000 for 1 year from September 2000. (co-investigator: Dr. Allen Leung)

  • Quality Enhancement of Supervising Teaching. TDG funding of HK$1.1m from 1998-2000. (under P.I. Dr. Philip Stimpson)

Publications
  • Tsui, A.B.M., Edwards, G. & Lopez-Real, F. (2009) Learning in School-University Partnership: Sociocultural Perspectives. Routledg

  • Tsui, A.B.M., Lopez-Real, F. & Edwards, G. (2009) Sociocultural Perspectives of Learning. In Tsui, Edwards, & Lopez-Real. Learning in School-University Partnership: Sociocultural Perspectives. Routledge

  • Kwan, T., Lopez-Real, F. & Tsui, A.B.M. (2009) Mentoring, Learning and Identity Formation. In Tsui, Edwards, & Lopez-Real. Learning in School-University Partnership: Sociocultural Perspectives. Routledge

  • Lopez-Real, F., Law, D. & Tang, R. (2009) Tripartite Conferences: Positioning and Activity Systems. In Tsui, Edwards, & Lopez-Real. Learning in School-University Partnership: Sociocultural Perspectives. Routledge

  • Lopez-Real, F. (2008) Un défi relative aux isométries. Losanges. No.1

  • Lopez-Real, F. (2008) A Theorem of Mystery (Part 1). Mathematics Teaching 208

  • Lopez-Real, F. (2008) A Theorem of Mystery (Part 2). Mathematics Teaching 209

  • Lopez-Real, F. (2008) The Spirit of Investigation: Modifying Pascal and Fibonacci. The Australian Mathematics Teacher

  • Lopez-Real, F. (2008) A Congruence Challenge. Mathematics Teaching 207

  • Lopez-Real, F. & Leung, A. (2006) Dragging as a conceptual tool in dynamic geometry environments. International Journal of Mathematical Education in Science and Technology. 37(6), 665-679

  • Mok, I.A.C. & Lopez-Real, F. (2006) A Tale of Two Cities: A Comparison of Six Teachers in Hong Kong and Shanghai. In Clarke, D.J., Keitel, C., & Shimizu, Y. (Eds.) Mathematics Classrooms in Twelve Countries: The Insider's Perspective. (pp. 237-246) Rotterdam: Sense Publishers.

  • Lopez-Real, F. & Lee, A.M.S. (2006) Encouraging the use of technology in problem solving: Some examples from an initial teacher education programme. The International Journal for Technology in Mathematics Education. 13 (1)

  • Lopez-Real, F. (2006) A New Look at a Polya Problem. Mathematics Teaching 196

  • Leung, F.K.S., Graf, K-D. & Lopez-Real, F. (Eds) (2006) Mathematics Education in Different Cultural Traditions: A Comparative Study of East Asia and the West. New York: Springer

  • Lopez-Real, F. (2005) Invariance (Ch.1), Language and Points of View (Ch.2) & Reasoning Based on Invariant Properties (Ch.3). In Johnston-Wilder, S.and Mason, J. (Eds.) Developing Thinking in Geometry. London, Open University & Paul Chapman Publishing

  • Kwan, T. & Lopez-Real, F. (2005) Mentors' Perceptions of their Roles in Mentoring Student Teachers. Asia-Pacific Journal of Teacher Education, 33(3)

  • Lopez-Real, F. & Lee, A.M.S. (2005) Problem Solving and ICT: Experiences from an initial teacher education programme . In Olivero, F. & Sutherland, R. (eds.) Visions of Mathematics Education: Embedding Technology in Learning. (Proceedings of the 7th International Conference on Technology in Mathematics Teaching). Bristol University

  • Lopez-Real, F. & Kwan, T. (2005) Mentors' perceptions of their own professional development during mentoring. Journal of Education for Teaching. Vol.31 No.1

  • Lopez-Real, F. & Leung, A. (2005) Cyclic and Tangential Polygons Revisited. Mathematics Teaching 190

  • Lopez-Real, F. (2004) Using the history of mathematics as a starting point for investigations: some examples on approximations. Teaching Mathematics and its Applications. 23(3)

  • Lopez-Real, F., Mok, I.A.C., Leung, F.K.S. & Marton, F. (2004) Identifying a Pattern of Teaching: An analysis of a Shanghai teacher's lessons. In Fan, L-H., Wong, N-Y, Cai, J-F. & Li, S. (eds.) How Chinese Learn Mathematics: Perspectives from Insiders. Singapore: World Scientific

  • Leung, A. & Lopez-Real, F. (2003) Properties of tangential and cyclic polygons: an application of circulant matrices. International Journal of Mathematical Education in Science and Technology. 34(6), 859-870

  • Lopez-Real, F. (2003) Collaborative reflection through sharing significant incidents. In A. Peter-Koop, A. Begg, C. Breen & V. Santos-Wagner (Eds.) Collaboration in teacher education: Examples from the context of mathematics education (pp. 235-251). Dordrecht, NL: Kluwer Academic Publishers.

  • Ng, S.N., Lopez-Real, F. & Rao, N. (2003) Early Mathematics Teaching: The relationship between teachers' beliefs and classroom practices. In Proceedings of PME 27 (International Group for the Psychology of Mathematics Education)

  • Lopez-Real, F. (2003) An analysis of teachers' reflections on significant incidents. In Edge, D. & Har, Y.B. (Eds.) Mathematics education for a knowledge-based era. Proceedings of EARCOME/SEACME (Singapore)

  • Lopez-Real, F. (2002) Approximating the volume of a truncated cone. The Australian Mathematics Teacher 58(4)

  • Lopez-Real, F. (2002) Cyclic and Tangential Polygons. Part One: Extending a familiar concept. Mathematics Teaching 179

  • Lopez-Real, F. (2002) Cyclic and Tangential Polygons. Part Two: Unexpected connections. Mathematics Teaching 180

  • Bunton , D., Stimpson, P. & Lopez-Real, F. (2002) University tutors' practicum observation notes: format and content. Mentoring & Tutoring, 10(3), 233-252.

  • Leung, A. & Lopez-Real, F. (2002) Theorem Justification and Acquisition in Dynamic Geometry: A Case of Proof by Contradiction. International Journal of Computers for Mathematical Learning 7: 145-165 Kluwer Academic Publishers

  • Lopez-Real, F. & Leung, A. (2001) Reflections on a TIMSS Geometry Lesson. For the learning of mathematics. 21(3)

  • Lopez-Real, F., Stimpson, P. & Bunton, D. (2001) Supervisory Conferences: An exploration of some difficult topics. Journal of Education for Teaching. Vol.27 No.2

  • Tsui, A., Lopez-Real, F., Law, Y.K., Tang, R. & Shum, S.K.(2001) Roles and relationships in tripartite supervisory conferencing processes. Journal of Curriculum and Supervision,vol.16 No. 4

  • Leung, A. & Lopez-Real, F. (2000) An analysis of students' explorations and constructions using Cabri geometry. In Clements, M.A., Tairab, H. & Yoong, W.K. (Eds) Science, Mathematics and Technical Education in the 20th and 21st Centuries. Universiti Brunei Darussalam

  • Stimpson, P., Lopez-Real, F., Bunton , D., Chan, D., Sivan, A. & Williams, M. (2000) Better Supervision, Better Teaching. HKU Press.

  • Lopez-Real, F. & Leung, A. (2000) Students' perceptions of computer versus non-computer environments in the study of geometry. Curriculum Forum, 9(2).

  • Lopez-Real, F. & Chan, Y.P (1999) Peer Assessment of a Group Project in a Primary Mathematics Education Course. Assessment & Evaluation in Higher Education, 24(1).

  • Lopez-Real, F. (1998) Pre-Lesson Discussion in Supervision: Can it be More Than a Ritual? in Kwo, O. (Ed) Professional Learning Together: Building a Collaborative Culture in Teaching Practicum Supervision. (INSTEP, University of Hong Kong)

  • Lopez-Real, F. (1998) "Students' Reasoning on Qualitative Changes in Ratio: A Comparison of Fraction and Division Representations". Proceedings of PME 22: Psychology of Mathematics Education 22nd International Conference, (S. Africa), pp. 223-230

  • Lopez-Real, F. (1997) Between Two Fractions. The Australian Mathematics Teacher, Vol.53 No.3

  • Lopez-Real, F. (1997) "Effect of the Different Syntactic Structures of English and Chinese in Simple Algebraic Problems". Proceedings of MERGA 20, Mathematics Education Research Group of Australasia, pp. 317-323

  • Lopez-Real, F. (1996) An Investigative Approach to Congruence. The Australian Mathematics Teacher. Vol.52 No.4

  • Lopez-Real, F. (1996) "Teachers' Reflections on Critical Incidents in Mathematics Lesson". Proceedings of International Seminar on Assessment and Evaluation in Science and Mathematics Education: Innovative Approaches, Universiti Brunei Darussalam, pp. 202-211

  • Lopez-Real, F. (1995) How Important is the Reversal Error in Algebra? Proceedings of MERGA 18 (Mathematics Education Research Group of Australasia).

  • Lopez-Real, F. (1995) "Generating Real-life Problems for the Classroom". Teaching Mathematics and its Applications, 14(4), 156-162


Professional/Community Service (including consultancies)
  • Member of the Reviewing Panel for the Journal of Education for Teaching.

  • External Examiner for the Open University of Hong Kong

  • Research Reviewer for the International Group for the Psychology of Mathematics Education

  • Member of Editorial Board for the 'Mathematics Teacher Education' series published by Kluwer Academic

  • Editor-in-Chief, Curriculum Forum (Refereed journal for Educators)

  • English Language Advisor for mathematical textbooks published in Hong Kong

  • Running Mentoring Workshops for teachers

Contacts
Email: lopezfj@hkucc.hku.hk

 

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