Providing worked examples for learning multiple principles

Worked examples support learning. However, if they introduce easy-to-confuse concepts or principles, specific ways of providing worked examples may influence their effectiveness. Multiple worked examples can be introduced blocked (i.e., several for the same principle) or interleaved (i.e., switching between principles), and can be sequentially or simultaneously presented. Crossing these two factors provides four ways of presenting worked examples: blocked/sequential, interleaved/sequential, blocked/simultaneous, and interleaved/simultaneous. In an experiment with university students (N = 174), we investigated how these two factors influence the acquisition of procedural and conceptual knowledge about different, but closely related (thus, easy-to-confuse) stochastic principles. Additionally, we assessed the ability of students to discriminate between principles with verification tasks. Simultaneous presentation benefitted procedural knowledge whereas, interleaved presentation benefitted conceptual knowledge. No significant differences were found for verification tasks. The results suggest that it is worthwhile to adapt the presentation of the worked examples to the learning goals.     

When seeing what's wrong makes you right: The effect of erroneous examples on 3D diagram learning

Comprehending 3D diagrams is critical for success in scientific practice and research demonstrates that understanding of 3D geology diagrams can be improved by making predictive sketches. In mathematics, explaining erroneous examples can support learning. This study combined these approaches to better understand how to effectively support 3D geologic diagram understanding. Participants generated sketches, explained erroneous example sketches, or copied and explained correct sketches. It was hypothesized that generating sketches or explaining erroneous cases would improve understanding, but an open question was whether these conditions would differ from each other. Explaining erroneous examples and sketching improved understanding whereas explaining correct sketches did not. Further, explaining erroneous examples was a more efficient strategy than sketching. These results indicate that erroneous examples can be effective for supporting 3D diagram comprehension and may be a practical substitute for some traditional sketching activities in the context of real classrooms where class time is limited.     

Embracing complexity in research on learning from examples and from problem solving

This contribution is a commentary to a special issue titled “Example-based learning: New theoretical perspectives and advances to a contemporary instructional approach” published in Applied Cognitive Psychology (2020). In the commentary, the presented research is discussed with respect to three extensions compared with previous research, namely, theoretical frameworks, learning scenarios and domains. It concludes with some suggestions for methodological advancements.     

Example-based learning: New theoretical perspectives and use-inspired advances to a contemporary instructional approach

Decades of research has shown that example-based learning is an effective instructional strategy for learning new skills. The field of learning from examples is seeing a shift in focus towards more innovative and use-inspired research, in part because the use of examples for informal and formal learning purposes has mushroomed. This special issue comprises a set of eight papers in which students learned a procedural skill from worked examples or modeling examples. Each study characterizes a recent development towards more innovative example-based learning research. These developments are: (a) the integration of social-cognitive and cognitive example research, (b) the integration of example-based learning and analogical reasoning research, (c) the extension of traditional Cognitive Load Theory effects, (d) a greater focus on learning from (productive) errors, and (e) more research on individual differences. This special issue concludes with insightful commentary articles written by Prof. Dr. Katharina Scheiter and Prof. Dr. Richard Mayer.     

多重样例变异性与先前知识对样例学习效果的影响述评

样例学习研究表明多重样例的学习效果好于单个样例。然而研究者关于如何有效设计多重样例得出了不同的发现。通过综述已有关于多重样例学习的实证研究,总结出两个尚未得到解决的问题：（1）多重样例之间的相似或相异程度应该如何;（2）学生的先前知识在多重样例学习中的作用如何。针对已有研究的局限性,本文指出,具有不同先前知识的学生学习时感受到不同的关键属性,多重样例应该基于学生学习时的关键属性设计特定的变易范式以帮助学生学习。     

领域知识与自我解释策略间关系的实验研究

从领域知识的个体差异的角度,研究领域知识与自我解释策略之间的关系,探讨自我解释在示例学习中的作用。研究结果表明,（１）在学习示例时,高领域知识组被试倾向于使用发现意义和建立新旧信息间联结的解释策略对示例进行认知加工;低领域知识组被试主要采用句法加工策略对示例进行加工;（２）领域知识对监控活动的制约,主要体现在被试监控到理解失败之后所采取的对策上。高领域知识组被试利用解释策略解决问题,低领域知识组被试利用句法加工策略解决问题。     

Hypocrisy, Change of Mind, and Weakness of Will: How to Do Moral Philosophy with Examples

What are the differences between hypocrisy, change of mind, and weakness of will? Each typically involves a gap between word and deed, yet they do not seem morally equivalent. Moreover, they are intuitively different concepts, even though the conceptual boundaries between them are fuzzy. This paper explores diverse examples, attempting to identify elements which may be distinctive of each concept, with special attention to hypocrisy. It also provides a discussion of the appropriateness of such use of examples in moral philosophy.     

Book Reviews

Books reviewed:
Raymond D. Boisvert, John Dewey: Rethinking Our Time
Larry A. Hickman, ed., Reading Dewey: Interpretations for a Postmodern Generation
Jennifer Welchman, Dewey's Ethical Thought
Richard Shusterman, Practicing Philosophy: Pragmatism and the Philosophical Life
Richard E. Hart and Douglas R. Anderson, eds., Philosophy in Experience: American Philosophy in Transition
Richard Kearney, Poetics of Modernity: Toward a Hermeneutic Imagination     

From Brouwerian Counter Examples to the Creating Subject

The original Brouwerian counter examples were algorithmic in nature; after the introduction of choice sequences, Brouwer devised a version which did not depend on algorithms. This is the origin of the creating subject technique. The method allowed stronger refutations of classical principles. Here it is used to show that negative dense subsets of the continuum are indecomposable.     

Specificity and Abstraction of Examples: Opposite Effects on Fixation for Creative Ideation

Fixation is one of the major obstacles that individuals face in creative idea generation contexts. Several studies have shown that individuals unintentionally tend to fixate to the examples they are shown in a creative ideation task, even when instructed to avoid them. Most of these studies used examples formulated with high level of specificity. However, no study has examined individuals’ creative performance under an instruction to diverge from given examples, when these examples are formulated with a high level of abstraction. In the present study, we show that (a) instructing participants to avoid using common examples when formulated with a high level of specificity increases fixation; whereas (b) instructing participants to avoid such examples while using a more abstract level for stating these common examples—such as a categorization of these examples—mitigates fixation and doubles the number of creative ideas generated. These findings give new insights on the key role of categorization in creative ideation contexts.