AUT - Sergiy Klymchuk

Sergiy Klymchuk

Associate Professor

Phone: +64-9-921 9999 ext.8431

Email: sergiy.klymchuk@aut.ac.nz

Physical Address:
AUT Tower, Level 1,
2 – 14 Wakefield St,
Auckland 1010

Qualifications:

PhD (Mathematics), Odessa National University, Ukraine, 1988
MSc (Mathematics), Odessa National University, Ukraine, 1980

Memberships and Affiliations:

 

•    Fellow of the Institute of Mathematics and Its Applications (IMA) – since 2011

•    Member of the European Society for Engineering Education Mathematics Working Group (SEFI MWG) – since 2008

•    Member of the Royal Society of New Zealand (RSNZ) – since 2006

•    Member of the International Group on Psychology in Mathematics Education (PME), an affiliated group of the International Commission on Mathematical Instruction (ICMI) of the International Mathematical Union (IMU) – since 2001

•    Member of the International Group on Improvements in Mathematics Education (CIEAEM), an affiliated group of the International Commission on Mathematical Instruction (ICMI) of the International Mathematical Union (IMU) – since 1999

•    Member of the New Zealand Mathematical Society (NZMS) – since 1998

•    Member of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), an affiliated group of the International Commission on Mathematical Instruction (ICMI) of the International Mathematical Union (IMU) – since 1997

 

Teaching Areas:

Differential Equations
Industrial Mathematics
Operations Research
Multivariate Calculus
Business Statistics
Primary supervisor of a PhD student on the topic Modelling the Spread of AIDS in Ghana

 

Research areas:

 

Current Research: Mathematics Education
•    using counterexamples to enhance students’ understanding of undergraduate mathematics
•    effective teaching of mathematical modelling and applications to undergraduate students
•    analysing the transition from secondary to university education in mathematics

Previous Research: Differential Equations
Asymptotic methods (in particular, the averaging method) for differential equations with discontinuous right-hand side and differential equations with multivalued right-hand side (differential inclusions)

 

Publications:

Selected Refereed Publications since 2003

 

Journal Articles

•    Klymchuk, S., Thomas, M. (2011) The influence of attention on mathematical knowledge of teachers and lecturers: A comparison. International Journal of Mathematical Education in Science and Technology (IJMEST), Vol. 42, No. 7, pp. 1011-1120, ISSN: 0020–739X, doi:10.1080/0020739X.2011.607246, Online: http://www.tandfonline.com/doi/abs/10.1080/0020739X.2011.607246
•    Klymchuk, S., Plotnikov, A., Skripnik, N. (2011) Overview of V.A. Plotnikov’s research on averaging of differential inclusions. Physica D – Nonlinear Phenomena, ISSN: 0167- 2789, DOI: 10.1016/j.physd.2011.05.004, Online from 27 May 2011:   http://ijjkk.com/science/article/pii/S0167278911001114
•    Klymchuk, S., Kachapova, F. (2011) Paradoxes and counterexamples in teaching and learning of probability at university. International Journal of Mathematical Education in Science and Technology (IJMEST), ISSN: 0020–739X, Online from 21 November 2011: http://www.tandfonline.com/doi/pdf/10.1080/0020739X.2011.633631
•    Klymchuk, S., Kachapova, F., Schott, D., Sauerbier, G., Kachapov, I. (2011) Using paradoxes and counterexamples in teaching probability: A parallel study. Mathematics Teaching-Research Journal (MTRJ), Vol. 5, No. 1, pp. 50-70, Online: http://www.hostos.cuny.edu/departments/math/MTRJ/archives/volume5/issue1/3_Using%20Paradoxes.pdf
•    Klymchuk, S., Gruenwald, N., Jovanoski, Z. (2011) University Lecturers’ Views on the Transition from Secondary to Tertiary Education in Mathematics: An International Survey. Mathematics Teaching-Research Journal (MTRJ), Vol. 5, No. 1, pp. 101-128, Online: http://www.hostos.cuny.edu/departments/math/MTRJ/archives/volume5/issue1/5_LECTURERS%20VIEW.pdf
•    Klymchuk, S., Zverkova, T., Gruenwald, N., Sauerbier, G. (2010) University Students’ Difficulties in Solving Application Problems in Calculus: Student Perspectives. Mathematics Education Research Journal (MERJ), Vol. 22, No. 2, pp. 81-91. DOI: 10.1007/BF03217567, Online: http://www.merga.net.au/documents/MERJ22%282%29-KlymchukZverkovaGruenwald&Sauerbier.pdf 
•    Hong, Y., Kerr, S., Klymchuk, S., McHardy, J., Murphy, P., Spencer, S., Thomas, M., Watson, P. (2009) A comparison of teacher and lecturer perspectives on the transition from secondary to tertiary mathematics education. International Journal of Mathematical Education in Science and Technology (IJMEST), Vol. 40, No. 7, pp. 877 – 889 ISSN: 0020-739X, doi:10.1080/00207390903223754
•    Klymchuk, S., Zverkova, T., Gruenwald, N., Sauerbier, G. (2008) Increasing Engineering Students’ Awareness to Environment through Innovative Teaching of Mathematical Modelling. Teaching Mathematics and Its Applications, Oxford University Press, UK, Vol. 27, No. 3, pp. 123-130, ISSN 0268-3679 doi:10.1093/teamat/hrn007
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2008) Teaching Non-Traditional Applications in Engineering Mathematics: A Case Study. Mathematics Teaching-Research Journal, USA, Vol. 2, No. 2, Online: http://www.hostos.cuny.edu/departments/math/mtrj/archives/volume2/issue2/volume2issue2full.pdf
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2007) Unusual applications in engineering mathematics: Students’ attitudes. The New Zealand Mathematics Magazine. ISSN: 0549-0510. Vol. 44, No 3, pp. 5-10
•    Black, M., Kachapova, F., Klymchuk, S., Kachapov, I. (2007) Probability Counter-Examples and Paradoxes as a Teaching Strategy. Mathematics and Informatics Quarterly, Singapore, Vol. 17, No. 3/4, pp. 154 – 160
•    Kachapova, F., Black, M., Klymchuk, S., Kachapov, I. (2007) Counter-examples and paradoxes in teaching mathematical statistics: A case study. Mathematics Teaching-Research Journal, USA, Vol. 2, No. 1, http://199.219.158.116/~mathdepartment/TRJ/
•    Gruenwald, N., Klymchuk S. (2006) Counter-examples in mathematics. Mathematics and Information Quarterly, Vol. 16, No. 3/4, pp. 73-77 
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2006) Bestand und Nachhaltigkeit in der Mathematischen Modellierung für Ingenieurstudenten (Survival and sustainability issues in mathematical modelling for engineering students). Global Journal of Engineering Education – German Edition. V.10, No.3, pp. 293-298 ISSN: 1328-3154 (in German), Online: http://www.wiete.com.au/journals/GJEE/Publish/Vol.10,No.3/Klymchuk.pdf
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2005) Using mathematical models of ecology in teaching first-year engineering mathematics. The New Zealand Mathematics Magazine. ISSN: 0549-0510. Vol. 42, No 3, pp. 11-23 
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2005) Mathematische  Modelle der Ökologie im ersten Studienjahr Ingenieurmathematik (Mathematical models of ecology in first-year engineering mathematics). Global Journal of Engineering Education – German Edition. V.9, No.3, pp. 237-244  ISSN 1328-3154 (in German)
•    Klymchuk, S. (2005) Counter-examples in teaching/learning of Calculus: Students’ performance. The New Zealand Mathematics Magazine. ISSN: 0549-0510. Vol 42, No 1, pp. 31-38
•    Klymchuk, S., Zverkova T. (2004) Role of mathematical modelling and applications in university service courses: An across countries study. The New Zealand Mathematics Magazine. ISSN: 0549-0510. Vol 41, No 1, pp.25-33
•    Gruenwald, N., Klymchuk S., Jovanoski, Z. (2004) Reducing the Gap between the School and University Mathematics: University Lecturers’ Perspective. The New Zealand Mathematics Magazine. ISSN: 0549-0510. Vol. 41, No 3, pp.12-24 
•    Gruenwald, N., Kossow, A., Sauerbier, G., Klymchuk, S. (2004) Der Übergang von der Schul- zur Hochschulmathematik – Erfahrungen aus internationaler und deutscher Sicht – Transition from School to University Mathematics: International and German Perspectives. Global Journal of Engineering Education – Special Edition. ISSN: 1328-3154. Vol 8, No 3, pp.283-293 (in German)
•    Gruenwald, N., Klymchuk S. (2003) Using counter-examples in teaching Calculus. The New Zealand Mathematics Magazine. ISSN: 0549-0510. Vol 40, No 2, pp.33-41.
•    Gruenwald, N., Sauerbier, G., Klymchuk, S. (2003) Probleme der Studenten beim Loesen von Anwendungsaufgaben: Eine parallele Studie (Students’ problems in solving application problems in Calculus: A parallel study) Global Journal of Engineering Education – Special Edition. ISSN: 1328-3154. Vol 7, No 3, pp. 313-317 (in German)

Books

•    Klymchuk, S. (2011) Paradoxes and Sophisms in Calculus - Second Edition. Maths Press, New Zealand, 56 p. ISBN 0-473-10550-0
•    Klymchuk, S. (2010) Counterexamples in Calculus. Mathematical Association of America (MAA), USA, 101 pp. ISBN: 978-0-88385-765-6  
•    Mason, J., Klymchuk, S. (2009) Using Counter-Examples in Calculus. Imperial College Press, London, UK, 98 pp. ISBN-13: 978-1-84816-359-1
•    Klymchuk, S. (2008) Acertijos con Dinero: Desarrollo del Razonamiento Matematico y Pensamiento Lateral. Editorial Trillas, Mexico, Mexico, 108 pp. ISBN: 978-968-24-8023-2 (in Spanish)
•     Gruenwald, N., Buckeridge, J., Gulyaev, S., Klymchuk, S. (2007) Shape Puzzles. Wismar University, Germany, 43 p. plus a CD-ROM, ISBN 978-3-939159-26-1 (in English and German)
•     Klymchuk, S. (2007) Money Puzzles: Fun with Finance. Rupa & Co., New Delhi, India. 116 p. ISBN: 81-291-1151-9
•     Klymchuk, S. (2006) Number Puzzles. Times Editions – Marshall Cavendish. Singapore, 204 p. ISBN: 978-89-87799-55-1-43410 (in Korean and English)
•     Buckeridge, J., Gulyaev, S., Klymchuk, S. (2006) Science Puzzles. Times Editions – Marshall Cavendish. Singapore, 192 p. ISBN: 978-89-87799-56-8-43410 (in Korean and English)
•     Gruenwald, N., Buckeridge, J., Gulyaev, S., Klymchuk, S. (2006) Science Puzzles. Wismar University, Germany, 47 p. plus a CD-ROM, ISBN: 978-3-939159-25-4 (in English and German)
•    Klymchuk, S. (2005) Paradoxes and Sophisms in Calculus. Maths Press, New Zealand, 56 p. ISBN 0-473-10550-0 
•    Klymchuk, S. (2005) Money Puzzles. University Games, San Francisco, USA, 96 p. ISBN 1-57528-977-6     
•    Gruenwald, N., Klymchuk, S (2005) Money Puzzles: On Critical Thinking and Financial Literacy. Wismar University, Germany, 81 p. plus a CD-ROM, ISBN: 3-910102-83-2 (in English and German)
•    Buckeridge, J., Gulyaev, S., Klymchuk, S. (2005) Shape Puzzles. Times Editions. Singapore, 112 p. ISBN: 981-261-191-6
•    Klymchuk, S. (2004) Number Puzzles. Times Editions. Singapore, 112 p. ISBN: 981 232 622 7
•    Buckeridge, J., Gulyaev, S., Klymchuk, S. (2004) Science Puzzles. Times Editions. Singapore, 112 p. ISBN: 981 232 7541
•    Klymchuk, S. (2004) Counter-Examples in Calculus. Maths Press, New Zealand, 116 p. ISBN: 0-476-01215-5

Book Chapters

•    Klymchuk, S., Narayanan, A., Gruenwald, N., Sauerbier, G., Zverkova, T.  (2011) Modelling of infectious disease with biomathematics: Implications for teaching and research. In Kaiser, G., Blum, W., Borromeo Ferri, R., Stillman, G. (Eds) Trends in  Teaching and Learning of Mathematical Modelling, ICTMA-14, Springer, pp. 489 – 498, ISBN: 978-94-007-0909-6, doi: 10.1007/978-94-007-0910-2
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2007) Models of ecology in teaching engineering mathematics. In Haines C., Galbraith P., Blum W. and Khan S. (Eds) Mathematical Modelling (ICTMA 12): Education, Engineering and Economics, Chichester: Horwood Publishing, UK, pp.314-322, ISBN: 978-1-904275-20-6

 

Full Papers in Conference Proceedings

•    Klymchuk, S., Gruenwald, N., Jovanoski, Z. (2011) University Lecturers’ Views on the Transition from Secondary to Tertiary Education in Mathematics: An International Survey. In Hannah, J. & Thomas, M. (Eds) Proceedings of Volcanic Delta 2011, the 8th Southern Hemisphere Conference on Teaching and Learning Undergraduate Mathematics and Statistics, Rotorua, New Zealand, pp. 190-201.
•    Sauerbier, G., Narayanan, A., Gruenwald, N., Klymchuk, S., Zverkova, T. (2010) Teaching Non-Traditional Applications to Engineering Students. In Araujo, A., Fernandes, A., Azevedo, A., Rodrigues, J.F. (Eds) Proceedings of the International Conference on Educational Interface between Mathematics and Industry (ICMI-20 Study), Lisbon, Portugal, pp. 437-447, ISBN-13: 978-1-933223-64-2
•    Gruenwald, N., Sauerbier, G., Narayanan, A., Klymchuk, S., Zverkova, T., (2010) Teaching Unusual Applications in Engineering Mathematics: Students’ Attitudes. In Schott, D. (Ed) Proceedings of the 15th conference of the Mathematics Working Group (MWG) of the European Society for Engineering Education (SEFI), Wismar, Germany, E-format, ISBN: 978-3-939159-97-1
•    Hong, Y., Kerr, S., Klymchuk, S., McHardy, J., Murphy, P., Spencer, S., Thomas, M., Watson, P. (2009) Teachers’ Perspectives on the Transition from Secondary to Tertiary Mathematics Education. In Hunter, Bicknell, Burgess (Eds) Proceedings of the 32nd International Conference of Mathematics Education Research Group Australasia (MERGA-32), Wellington, New Zealand, pp. 241-248  ISBN: 978-1-920846-22-0
•    Klymchuk, S., Thomas, M. (2009) Teachers’ mathematical knowledge: Influence of attention. In Tsekaki M. et al (Eds) Proceedings of the 33rd Conference of the International Group for the  Psychology of Mathematics Educations (PME-33), Thessaloniki, Greece, Vol.3, pp. 361-368 ISBN: 978-960-243-655-4
•    Hong, Y.Y., Kerr, S., Klymchuk, S., McHardy, J., Murphy, P., Spencer, S., Thomas, M., & Watson, P. (2009) Modelling the transition from secondary to tertiary mathematics education. In Paditz, L.& Rogerson, A. (Eds) Proceedings of the 10th International Conference of the Mathematics Education into the 21st Century, Dresden, Germany, pp. 250-254 ISBN: 83-919465-9-2
•    Gruenwald, N., Sauerbier, G., Klymchuk, S., Zverkova, T. (2008) Mission 2 Mars und andere Projekte in einem extracurricularen Kurs f¨ur Ingenieurstudenten (Mission to Mars and other projects in an extra-curriculum course for engineering students). In Schott, D. (Ed) Proceedings of the 6th German Workshop “Mathematics for Engineers”, Soest, Germany, Vol.2, pp. 45-53 ISSN 1862-1767, ISBN 978-3-939159-72-8  (in German)  
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2008) Teaching Business Applications to Future Engineers. In Gruenwald N. (Ed) Proceedings of the 1st International Conference on Engineering and Business Education. Wismar, Germany. E-format ISBN 978-3-939159-67-4 
•    Klymchuk, S., Mays, M. (2008) Current problems and challenges in non-university tertiary mathematics education. In Niss M. (Ed) Proceedings of the 10th International Congress on Mathematics Education (ICME-10), Roskilde Univerrsity, Denmark, pp. 519-523, ISBN: 978-97-7349-733-3
•    Klymchuk, S., Zverkova, T., Gruenwald, N., Sauerbier, G. (2008) Increasing Engineering Students’ Awareness to Environmental Issues through Innovative Teaching of Mathematical Modelling. In Alpers B. et el (Eds) Proceedings of the Conference Mathematical Education of Engineers – joint 14th conference of the European Society for Engineering Education Mathematics Working Group (SEFI) and 6th conference of the Institute of Mathematics and its Applications, Loughborough University, UK. E-format
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2007) A novel approach to teach mathematical modelling to engineering students: A case study. In Szendrei J. (Ed) Proceedings of the CIEAEM-59 Congress. Dobogoko, Hungary, pp.174-178, ISBN: 978-963-06-3733-6
•    Gruenwald, N., Sauerbier, G., Zverkova, T., Klymchuk, S. (2006) Teaching mathematical modelling of survival and sustainability to engineering students. In Pudlovski Z. (Ed) Proceedings of the 10th Baltic Region Seminar on Engineering Education, Szczecin, Poland. Monash University, Australia, pp. 174-176, ISBN: 0-7326-2259-X
•    Klymchuk, S., Gruenwald, N. (2006) Counter-examples in calculus as a pedagogical strategy. In Hughes-Hallett D., Vakalis I., Arikan H., Quinney D. (eds) Proceedings of the Third International Conference on Teaching Mathematics at the Undergraduate Level (ICTM-3), Istanbul, Turkey, CD format, John Wiley & Sons Inc. ISBN: 0471072709
•    Klymchuk, S., Zverkova, T., Gruenwald, N., Sauerbier, G. (2005) Mathematische  Modelle der Ökologie für Ingenieurstudenten (Mathematical models of ecology for engineering students). In D. Schott (Ed) Proceedings of the German Workshop-2005 “Mathematics for Engineers”. Bremen, Germany, ISBN 3-910102-81-6, pp. 43-51 (in German)
•    Gruenwald, N., Klymchuk S. (2003) Transition from school to university: university mathematics lecturers’ perspective. In Tze-li Kang, Wen-shung Tai & Zenon J. Pudlowski (Eds) Proceedings of the 1st South Asia Conference on Engineering and Technology Education. National Changhua University of Education, Taiwan, pp. 176-180. – Plenary address.
•    Gruenwald, N., Klymchuk, S. (2003) The role of counter-examples in developing creative learning environment in engineering mathematics. In Z.J.Pudlowski (Ed) Proceedings of the 6th conference of UNESCO International Centre for Engineering Education. Cairns, Australia, ISBN: 0-7326-2240 9, pp.23-26 - Opening address.

 

Awards:

2011    Ako Aotearoa National Centre for Tertiary Teaching Excellence Grant of $10,000 for dissemination of the findings from my project “Analysing the Transition from Secondary to Tertiary Education in Mathematics” among all New Zealand universities

2010    Outstanding Academic Title Award in 2010 by the Choice Magazine of the American Library Association for my book Counterexamples in Calculus published by the Mathematical Association of America

2010    Ako Aotearoa National Centre for Tertiary Teaching Excellence Grant of $12,000 for distribution of my book Counterexamples in Calculus based on my research to all New Zealand universities and high schools with the aim to improve students' conceptual understanding in calculus

2008    Ako Aotearoa National Centre for Tertiary Teaching Excellence Good Practice Publication Grant of $3,000 for developing a resource on using counterexamples for enhancing teaching and learning of undergraduate mathematics

2007    The New Zealand Council for Educational Research Grant of $180,000 for a 2-year project “Analysing the Transition from Secondary to Tertiary Education in Mathematics”

2007    Auckland University of Technology Grant of $10,000 for developing an online resource to enhance teaching and learning “Increasing Students’ Awareness to Environmental Issues through Innovative Teaching of Mathematical Modelling”

2006    German Academic Exchange Service (DAAD) visiting Associate Professor at Wismar University, Germany   

2005    Auckland University of Technology Grant of $10,000 for developing an online resource to enhance teaching and learning “Enhancing Students’ Problem Solving and Critical Thinking Skills through Paradoxes and Sophisms in Calculus”

2004    Auckland University of Technology Grant of $10,000 for developing an online resource to enhance teaching and learning “Using Counterexamples for Enhancing Students’ Critical Thinking Skills and Conceptual Understanding in Undergraduate Mathematics”

2002    Auckland Chamber of Commerce Scholarship of $2,000 for undertaking research at Wismar University, Germany

2001    AMP Financial Services Scholarship of $5,000 for printing and distribution of my educational book on popular mathematics to all New Zealand schools and libraries