Problem set 4

Article

Yevdokimov, Oleksiy. 2009. "Problem set 4." Australian Senior Mathematics Journal. 23 (2), pp. 63-63.
Article Title

Problem set 4

ERA Journal ID40314
Article CategoryArticle
Authors
AuthorYevdokimov, Oleksiy
Journal TitleAustralian Senior Mathematics Journal
Journal Citation23 (2), pp. 63-63
Number of Pages1
Year2009
Place of PublicationAdelaide, South Australia
ISSN0819-4564
Web Address (URL)http://www.aamt.edu.au
Abstract

This problem set includes a selection of probability problems. Probability theory started essentially as an empirical science and developed on the mathematical side later. Pascal and Fermat were among those who suggested
the basics of probability theory as we now know it. The problems featured in this issue demonstrate diversity of ideas and different concepts of probability, in particular, they refer to Laplace and Bernoulli models as well as to geometric probability.

Keywordsproblem solving; mathematics; probability
ANZSRC Field of Research 2020490506. Probability theory
390109. Mathematics and numeracy curriculum and pedagogy
390306. Secondary education
Public Notes

Copyright of Australian Senior Mathematics Journal is the property of Australian Association of Mathematics Teachers and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use.

Byline AffiliationsDepartment of Mathematics and Computing
Permalink -

https://research.usq.edu.au/item/9zwy1/problem-set-4

Log in to edit

Download files

Published Version
Yevdokimov_ASMJ_v23n2_PV.pdf
File access level: Anyone

  • 1861
    total views
  • 119
    total downloads
  • 6
    views this month
  • 4
    downloads this month

Export as

Related outputs

The role of numbers in teaching mathematics at university level
Yevdokimov, Oleksiy. 2024. "The role of numbers in teaching mathematics at university level." Campbell, A.L. (ed.) The 14th Delta Conference on the Teaching and Learning of Undergraduate Mathematics and Statistics . Cape Town, South Africa 26 Nov - 01 Dec 2023 South Africa. University of Cape Town.
The use of straightedge, compass, and fixed shapes to enhance the content knowledge of mathematics teachers in their professional training in geometry education
Yevdokimov, Oleksiy. 2024. "The use of straightedge, compass, and fixed shapes to enhance the content knowledge of mathematics teachers in their professional training in geometry education." Lowrie, T. (ed.) The 26th ICMI Study . Reims, France 23 - 26 Apr 2024 France.
Minimising mathematical anxiety in teaching mathematics and assessing student’s work
Yevdokimov, Oleksiy. 2021. "Minimising mathematical anxiety in teaching mathematics and assessing student’s work." Kollosche, David (ed.) 11th International Mathematics Education and Society Conference: Exploring new ways to connect (2021). Virtual Germany.
Links between problems and their role in students' preparation for mathematical contests
Yevdokimov, Oleksiy. 2010. "Links between problems and their role in students' preparation for mathematical contests." Avotina, Maruta, Bonca, Dace, Falk de Losada, Maria, Ramana, Liga and Soifer, Alexander (ed.) WFNMC6: 6th Congress of the World Federation of National Mathematics Competitions. Riga, Latvia 25 - 31 Jul 2010 Australia.
Problem set 12
Yevdokimov, Oleksiy. 2013. "Problem set 12." Australian Senior Mathematics Journal. 27 (2), pp. 63-63.
Problem set 11
Yevdokimov, Oleksiy. 2013. "Problem set 11." Australian Senior Mathematics Journal. 27 (1), pp. 64-64.
On the analysis of indirect proofs: contradiction and contraposition
Jourdan, Nicolas and Yevdokimov, Oleksiy. 2016. "On the analysis of indirect proofs: contradiction and contraposition." Australian Senior Mathematics Journal. 30 (1), pp. 55-64.
Problem set 8
Yevdokimov, Oleksiy. 2011. "Problem set 8." Australian Senior Mathematics Journal. 25 (2), pp. 63-63.
Problem set 7
Yevdokimov, Oleksiy. 2011. "Problem set 7." Australian Senior Mathematics Journal. 25 (1), pp. 64-64.
Problem set 6
Yevdokimov, Oleksiy. 2010. "Problem set 6." Australian Senior Mathematics Journal. 24 (2), pp. 64-64.
Problem set 5
Yevdokimov, Oleksiy. 2010. "Problem set 5." Australian Senior Mathematics Journal. 24 (1), pp. 64-64.
Problem set 9
Yevdokimov, Oleksiy. 2012. "Problem set 9 ." Australian Senior Mathematics Journal. 26 (1), pp. 64-64.
Problem set 10
Yevdokimov, Oleksiy. 2012. "Problem set 10." Australian Senior Mathematics Journal. 26 (2), pp. 63-63.
Notes about teaching mathematics as relationships between structures: a short journey from early childhood to higher mathematics
Yevdokimov, Oleksiy. 2012. "Notes about teaching mathematics as relationships between structures: a short journey from early childhood to higher mathematics." The De Morgan Journal. 2 (1), pp. 69-83.
Cognitive development of proof
Tall, David, Yevdokimov, Oleksiy, Koichu, Boris, Whiteley, Walter, Kondratieva, Margo and Cheng, Ying-Hao. 2012. "Cognitive development of proof." Hanna, Gila and de Villiers, Michael (ed.) Proof and proving in mathematics education. Dordrecht, Germany. Springer. pp. 13-49
On creating a 'free of anxiety' assessment environment for students with special needs
Yevdokimov, Oleksiy. 2011. "On creating a 'free of anxiety' assessment environment for students with special needs ." NORSMA6: New Trends in Special Needs Education in Mathematics: Problems and Possibilities. Kristiansand, Norway 02 - 04 Nov 2011 Kristiansand, Norway.
Problem solving activities in a constructivist framework: exploring how students approach difficult problems
Yevdokimov, Oleksiy and Passmore, Tim. 2008. "Problem solving activities in a constructivist framework: exploring how students approach difficult problems." Goos, Merrilyn, Brown, Ray and Makar, Katie (ed.) 31st Annual Conference of the Mathematics Education Research Group of Australasia (MERGA 31). Brisbane, Australia 28 Jun - 01 Jul 2008 Adelaide, Australia. Mathematics Education Research Group of Australasia (MERGA).
Problem set 3
Yevdokimov, Oleksiy. 2009. "Problem set 3." Australian Senior Mathematics Journal. 23 (1), pp. 63-63.
On the nature of mathematical education of engineers: identifying hidden obstacles and potential for improvement
Yevdokimov, Oleksiy. 2008. "On the nature of mathematical education of engineers: identifying hidden obstacles and potential for improvement." Alpers, Burkhard, Hibberd, Stephen, Lawson, Duncan, Mustoe, Leslie and Robinson, Carol (ed.) 2008 Mathematical Education of Engineers Conference . Loughborough, United Kingdom 06 - 09 Apr 2008 Loughborough, UK.
Higher order reasoning produced in proof construction: how well do secondary school students explain and write mathematical proofs?
Yevdokimov, Oleksiy. 2009. "Higher order reasoning produced in proof construction: how well do secondary school students explain and write mathematical proofs?" Lin, Fou-Lai, Hsieh, Feng-Jui, Hanna, Gila and de Villiers, Michael (ed.) ICMI Study 19 Working Conference: Proof and Proving in Mathematics Education. Taipei, Taiwan 10 - 15 May 2009 Taipei.
Theoretical perspectives of the process of making conjectures [in Spanish]
Canadas, Maria, Deulofeu, Jordi, Figueiras, Lourdes, Reid, David A. and Yevdokimov, Oleksiy. 2008. "Theoretical perspectives of the process of making conjectures [in Spanish]." Ensenanza de las Ciencias. 26 (3), pp. 431-444.
Making generalisations in geometry: students' views on the process: a case study
Yevdokimov, Oleksiy. 2008. "Making generalisations in geometry: students' views on the process: a case study." Figueras, Olimpia, Cortina, Jose Luis, Alatorre, Silvia, Rojano, Teresa and Sepulveda, Armando (ed.) 2008 Annual Conference for the Psychology of Mathematics Education (PME 32): Mathematical Ideas: History, Education and Cognition. Morelia, Mexico 17 - 21 Jul 2008 Morelia, Mexico.
Notes on 'perpetual question' of problem solving: how can learners best be taught problem-solving skills?
Yevdokimov, Oleksiy and Taylor, Peter. 2008. "Notes on 'perpetual question' of problem solving: how can learners best be taught problem-solving skills?" Journal of the Korean Society of Mathematical Education Series D: Research in Mathematical Education. 12 (3), pp. 179-191.
Problem set 2
Yevdokimov, Oleksiy. 2008. "Problem set 2." Australian Senior Mathematics Journal. 22 (2), pp. 63-64.
Problem set 1
Yevdokimov, Oleksiy. 2008. "Problem set 1." Australian Senior Mathematics Journal. 22 (1), pp. 63-64.
The conjecturing process: perspectives in theory and implications in practice
Yevdokimov, Oleksiy, Canadas, Maria, Deulofeu, Jordi, Figueiras, Lourdes and Reid, David. 2007. "The conjecturing process: perspectives in theory and implications in practice." Journal of Teaching and Learning. 5 (1), pp. 55-72.
Asymptotically accurate flow completion time distributions under fair queueing
Addie, R. G. and Yevdokimov, Oleksiy. 2008. "Asymptotically accurate flow completion time distributions under fair queueing." Green, Richard (ed.) Australasian Telecommunication Networks and Applications Conference (ATNAC 2007): Next Generation Networks: Enabling Closer International Cooperation. Christchurch, New Zealand 02 - 05 Dec 2007 Piscataway, NJ. United States. https://doi.org/10.1109/ATNAC.2007.4665290
Using the history of mathematics for mentoring gifted students: Notes for teachers
Yevdokimov, Oleksiy. 2007. "Using the history of mathematics for mentoring gifted students: Notes for teachers." Milton, Ken, Reeves, Howard and Spencer, Toby (ed.) The 21st Biennial Conference of the Australian Association of Mathematics Teachers Inc.. Hobart, Australia 06 - 09 Jul 2007 Adelaide, Australia.
Inquiry activities in a classroom: extra-logical processes of illumination vs logical process of deductive and inductive reasoning. A case study
Yevdokimov, Oleksiy. 2006. "Inquiry activities in a classroom: extra-logical processes of illumination vs logical process of deductive and inductive reasoning. A case study ." Novotna, Jarmila, Stehlikova, Nada, Kratka, Magdalena and Moraova, Hana (ed.) 30th Conference of the International Group for the Psychology of Mathematics Education. Prague, Czech Republic 16 - 21 Jul 2006 Prague, Czech Republic.
Using materials from the history of mathematics in discovery-based learning
Yevdokimov, Oleksiy. 2006. "Using materials from the history of mathematics in discovery-based learning ." Furinghetti, Fulvia, Kaijser, Sten and Tzanakis, Constantinos (ed.) ICME 10 Satellite Meeting of the International Study Group on the Relations between the History and Pedagogy of Mathematics. Uppsala, Sweden 12 - 17 Jul 2004 Heraclion, Greece.
About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry
Yevdokimov, Oleksiy. 2006. "About a constructivist approach for stimulating students' thinking to produce conjectures and their proving in active learning of geometry." Bosch, Marianna, Perpinan, Marta and Portabella, M. Angels (ed.) 4th Congress of the European Society for Research in Mathematics Education. Sant Feliu de Guixols, Spain 17 - 21 Feb 2005 Barcelona, Spain.
On development of students' abilities in problem posing: a case of plan geometry
Yevdokimov, Oleksiy. 2005. "On development of students' abilities in problem posing: a case of plan geometry ." Gagatsis, Athanasios, Spagnolo, Filippo, Makrides, Gregory and Farmaki, Vassiliki (ed.) 4th Mediterranean Conference on Mathematics Education. Palermo, Italy 28 - 30 Jan 2005 Palermo, Italy.
Protecting small flows from large ones for quality of service
Addie, R. G., Yevdokimov, Oleksiy, Braithwaite, Stephen and Millsom, David. 2007. "Protecting small flows from large ones for quality of service." Bernstein, David, Dini, Petre, Hladka, Eva, Reza, Hassan, Romascanu, Dan and Sankar, Krishna (ed.) 2nd International Conference on Digital Telecommunications (ICDT 2007). San Jose, United States 01 - 06 Jul 2007 Piscataway, NJ. United States. https://doi.org/10.1109/ICDT.2007.68