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Original Articles

The Microevolution of Mathematical Knowledge: The Case of Randomness

Pages 453-488 | Published online: 17 Nov 2009

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (9)

Jenni Ingram. (2022) Randomness and probability: exploring student teachers’ conceptions. Mathematical Thinking and Learning 0:0, pages 1-19.
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Aditya P. Adiredja. (2021) Students’ struggles with temporal order in the limit definition: uncovering resources using knowledge in pieces. International Journal of Mathematical Education in Science and Technology 52:9, pages 1295-1321.
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Sibel Kazak & Dave Pratt. (2021) Developing the role of modelling in the teaching and learning of probability. Research in Mathematics Education 23:2, pages 113-133.
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Zisimos Braessas & Tasos Patronis. (2021) Understanding 15-year-old students’ conceptions of randomness through their ‘potential worlds’: a qualitative analysis. International Journal of Mathematical Education in Science and Technology 52:2, pages 237-258.
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Michelle Hoda Wilkerson-Jerde & Uri J. Wilensky. (2015) Patterns, Probabilities, and People: Making Sense of Quantitative Change in Complex Systems. Journal of the Learning Sciences 24:2, pages 204-251.
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Dave Pratt, Carmen Batanero, Rolf Biehler, Andreas Eichler, Maria Meletiou-Mavrotheris & Efi Paparistodemou. (2012) CERME7 Working Group 5: Stochastic thinking. Research in Mathematics Education 14:2, pages 193-194.
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Anne Watson. (2010) Shifts of mathematical thinking in adolescence. Research in Mathematics Education 12:2, pages 133-148.
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Joseph F. Wagner. (2006) Transfer in Pieces. Cognition and Instruction 24:1, pages 1-71.
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Articles from other publishers (35)

Andreas Eichler & Markus Vogel. 2022. Digitales Lehren und Lernen von Mathematik in der Schule. Digitales Lehren und Lernen von Mathematik in der Schule 277 301 .
Karl Halvor Teigen & Alf Børre Kanten. (2019) Are random events expected to be small?. Psychological Research 85:1, pages 133-150.
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Andrea A. diSessa. 2019. Compendium for Early Career Researchers in Mathematics Education. Compendium for Early Career Researchers in Mathematics Education 245 264 .
Fengfeng Ke, Valerie Shute, Kathleen M. Clark & Gordon ErlebacherFengfeng Ke, Valerie Shute, Kathleen M. Clark & Gordon Erlebacher. 2019. Interdisciplinary Design of Game-based Learning Platforms. Interdisciplinary Design of Game-based Learning Platforms 99 118 .
Carli D. Flynn, Cliff I. Davidson & Sharon Dotger. (2018) Development and Psychometric Testing of the Rate and Accumulation Concept Inventory. Journal of Engineering Education 107:3, pages 491-520.
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Michelle H. Wilkerson, Alfredo Bautista, Roger G. Tobin, Bárbara M. Brizuela & Ying Cao. (2016) More than meets the eye: patterns and shifts in middle school mathematics teachers’ descriptions of models. Journal of Mathematics Teacher Education 21:1, pages 35-61.
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Aditya P. Adiredja. 2018. Toward Equity and Social Justice in Mathematics Education. Toward Equity and Social Justice in Mathematics Education 59 76 .
Per Nilsson, Andreas Eckert & Dave Pratt. 2018. Teaching and Learning Stochastics. Teaching and Learning Stochastics 51 71 .
Haneet Gandhi. 2018. Teaching and Learning Stochastics. Teaching and Learning Stochastics 181 200 .
Andrea A. diSessa. 2018. Invited Lectures from the 13th International Congress on Mathematical Education. Invited Lectures from the 13th International Congress on Mathematical Education 65 84 .
Dave Pratt & Sibel Kazak. 2018. International Handbook of Research in Statistics Education. International Handbook of Research in Statistics Education 193 227 .
Andrea A. diSessa. (2017) Une introduction accessible à la « Connaissance par Morceaux »A friendly introduction to “Knowledge in Pieces”: Modeling types of knowledge and their roles in learning. Éducation et didactique 11:2, pages 215-231.
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Kate Mackrell & Dave Pratt. (2017) Constructionism and the space of reasons. Mathematics Education Research Journal 29:4, pages 419-435.
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Arthur Bakker, Dani Ben-Zvi & Katie Makar. (2017) An inferentialist perspective on the coordination of actions and reasons involved in making a statistical inference. Mathematics Education Research Journal 29:4, pages 455-470.
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Gila Ron, Tommy Dreyfus & Rina Hershkowitz. (2017) Looking back to the roots of partially correct constructs: The case of the area model in probability. The Journal of Mathematical Behavior 45, pages 15-34.
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Richard Noss & Celia Hoyles. 2017. Technology Enhanced Learning. Technology Enhanced Learning 29 35 .
Ghislaine Gueudet, Marianna Bosch, Andrea A. diSessa, Oh Nam Kwon & Lieven VerschaffelGhislaine Gueudet. 2016. Transitions in Mathematics Education. Transitions in Mathematics Education 1 34 .
Shulamit Kapon, Gila Ron, Rina Hershkowitz & Tommy Dreyfus. (2014) Perceiving permutations as distinct outcomes: the accommodation of a complex knowledge system. Educational Studies in Mathematics 88:1, pages 43-64.
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Efi Paparistodemou. 2014. Probabilistic Thinking. Probabilistic Thinking 599 612 .
Susanne Prediger & Susanne Schnell. 2014. Probabilistic Thinking. Probabilistic Thinking 533 558 .
Per Nilsson. 2014. Probabilistic Thinking. Probabilistic Thinking 509 532 .
Simin Jolfaee, Rina Zazkis & Nathalie Sinclair. 2014. Probabilistic Thinking. Probabilistic Thinking 397 416 .
Ruma Falk & Avital Lavie Lann. (2013) Numbers defy the law of large numbers. Teaching Statistics, pages n/a-n/a.
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Rolf Biehler & Dave Pratt. (2012) Research on the reasoning, teaching and learning of probability and uncertainty. ZDM 44:7, pages 819-823.
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Susanne Schnell & Susanne Prediger. (2012) From “everything changes” to “for high numbers, it changes just a bit”. ZDM 44:7, pages 825-840.
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Antri Avraamidou, John Monaghan & Aisha Walker. (2012) Abstraction Through Game Play. Technology, Knowledge and Learning 17:1-2, pages 1-21.
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Gila Ron, Tommy Dreyfus & Rina Hershkowitz. (2010) Partially correct constructs illuminate students’ inconsistent answers. Educational Studies in Mathematics 75:1, pages 65-87.
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Dave Pratt & Richard Noss. (2010) Designing for Mathematical Abstraction. International Journal of Computers for Mathematical Learning 15:2, pages 81-97.
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Per Nilsson. (2009) Conceptual variation and coordination in probability reasoning. The Journal of Mathematical Behavior 28:4, pages 247-261.
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Efthymia Paparistodemou, Richard Noss & Dave Pratt. (2008) The Interplay Between Fairness and Randomness in a Spatial Computer Game. International Journal of Computers for Mathematical Learning 13:2, pages 89-110.
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Per Nilsson. (2007) Different ways in which students handle chance encounters in the explorative setting of a dice game. Educational Studies in Mathematics 66:3, pages 293-315.
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Dave Pratt. 2005. Exploring Probability in School. Exploring Probability in School 171 189 .
Cynthia W. Langrall & Edward S. Mooney. 2005. Exploring Probability in School. Exploring Probability in School 95 119 .
Graham A. Jones & Carol A. Thornton. 2005. Exploring Probability in School. Exploring Probability in School 65 92 .
Tommy Dreyfus & Pessia Tsamir. (2004) Ben's consolidation of knowledge structures about infinite sets. The Journal of Mathematical Behavior 23:3, pages 271-300.
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