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Productive Failure in Learning Math

Cognitive Science 38 (5):1008-1022 (2014)

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  1. The influence of the order and congruency of correct and erroneous worked examples on learning and (meta-)cognitive load.Lukas Wesenberg, Felix Krieglstein, Sebastian Jansen, Günter Daniel Rey, Maik Beege & Sascha Schneider - 2022 - Frontiers in Psychology 13.
    Several studies highlight the importance of the order of different instructional methods when designing learning environments. Correct but also erroneous worked examples are frequently used methods to foster students’ learning performance, especially in problem-solving. However, so far no study examined how the order of these example types affects learning. While the expertise reversal effect would suggest presenting correct examples first, the productive failure approach hypothesizes the reversed order to be learning-facilitating. In addition, congruency of subsequent exemplified problems was tested as (...)
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  • Gaining Mathematical Understanding: The Effects of Creative Mathematical Reasoning and Cognitive Proficiency.Bert Jonsson, Carina Granberg & Johan Lithner - 2020 - Frontiers in Psychology 11:574366.
    In the field of mathematics education, one of the main questions remaining under debate is whether students’ development of mathematical reasoning and problem-solving is aided more by solving tasks with given instructions or by solving them without instructions. It has been argued, that providing little or no instruction for a mathematical task generates a mathematical struggle, which can facilitate learning. This view in contrast, tasks in which routine procedures can be applied can lead to mechanical repetition with little or no (...)
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  • Cultivating Intellectual Humility in Political Philosophy Seminars.Finlay Malcolm - 2019 - Blended Learning in Practice.
    The cultivation of intellectual character is an important goal within university education. This article focusses on cultivating intellectual humility. It first explores an account of intellectual humility from recent literature on the intellectual virtues. Then, it considers one recent pedagogical approach – Making Thinking Visible – as a means of teaching intellectual virtue. It assesses one particular technique for cultivating intellectual humility arising from this pedagogical literature, and applies it to the teaching of political philosophy. Finally, there is a discussion (...)
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  • The order matters: sequencing strategies in example-based learning.Julia Murböck - 2018 - Dissertation, Ludwig Maximilians Universität, München
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