Many philosophers would concede that mathematics contributes to the abstractness of some of our most successful scientific representations. Still, it is hard to know what this abstractness really comes to or how to make a link between abstractness and success. I start by explaining how mathematics can increase the abstractness of our representations by distinguishing two kinds of abstractness. First, there is an abstract representation that eschews causal content. Second, there are families of representations with a (...) common mathematical core that is variously interpreted. The second part of the paper makes a connection between both kinds of abstractness and success by emphasizing confirmation. That is, I will argue that the mathematics contributes to the confirmation of these abstract scientific representations. This can happen in two ways which I label "direct" and "indirect". The contribution is direct when the mathematics facilitates the confirmation of an accurate representation, while the contribution is indirect when it helps the process of disconfirming an inaccurate representation. Establishing this conclusion helps to explain why mathematics is prevalent in some of our successful scientific theories, but I should emphasize that this is just one piece of a fairly daunting puzzle. (shrink)

I examine the abstraction/representation theory of computation put forward by Horsman et al., connecting it to the broader notion of modeling, and in particular, model-based explanation, as considered by Rosen. I argue that the ‘representational entities’ it depends on cannot themselves be computational, and that, in particular, their representational capacities cannot be realized by computational means, and must remain explanatorily opaque to them. I then propose that representation might be realized by subjective experience (qualia), through being the bearer of the (...) structure of abstract objects that are represented. (shrink)

According to usage-based theories, children initially acquire surface-level constructions and then abstract representations. If so, bilingual children might show lags relative to monolingual children early in acquisition, but not later on, once they rely on abstract representations. We tested this prediction with comprehension of passives in 3- to 6-year-old children: French–English bilinguals and English monolinguals. As predicted, younger bilingual children tended to be less accurate than monolingual children. In contrast, the older bilingual children scored equivalently to (...) monolinguals, despite less exposure to English. When the children made errors, the bilingual children were more likely to interpret the subject as the agent of the action than the monolingual children. These results are consistent with the argument that children develop increasingly abstract representations of linguistic constructions with usage. They further suggest that bilingual children might catch up with monolingual through use of selective attention and/or a semantic bias. (shrink)

Recently, Horsman et al. have proposed a new framework, Abstraction/Representation theory, for understanding and evaluating claims about unconventional or non-standard computation. Among its attractive features, the theory in particular implies a novel account of what is means to be a computer. After expounding on this account, I compare it with other accounts of concrete computation, finding that it does not quite fit in the standard categorization: while it is most similar to some semantic accounts, it is not itself a semantic (...) account. Then I evaluate it according to the six desiderata for accounts of concrete computation proposed by Piccinini. Finding that it does not clearly satisfy some of them, I propose a modification, which I call Agential AR theory, that does, yielding an account that could be a serious competitor to other leading account of concrete computation. (shrink)

We agree that the default numerical representation is best accessed by probing automatic processing. The locus of this representation is apparently at the horizontal intraparietal sulcus (HIPS), the convergence zone of magnitude information. The parietal lobes are the right place to look for non-abstract representation of magnitude, yet the proof for that is still to be found.

Cognition, it is often heard nowadays, is embodied. My concern is with embodied accounts of language comprehension. First, the basic idea will be outlined and some of the evidence that has been put forward in their favor will be examined. Second, their empiricist heritage and their conception of abstract ideas will be discussed. Third, an objection will be raised according to which embodied accounts underestimate the cognitive functions language fulfills. The remainder of the paper will be devoted to arguing (...) for the cognitive indispensability of non-embodied, abstract representations by highlighting some of the cognitive benefits they bestow upon us. (shrink)

We challenge the arguments of Cohen Kadosh & Walsh (CK&W) on two grounds. First, interactions between number form (e.g., notation, format, modality) and an experimental factor do not show that the notations/formats/modalities are processed separately. Second, we discuss evidence that numbers are coded abstractly, also when not required by task demands and processed unintentionally, thus challenging the authors' dual-code account.

This article explores the complementary strengths and weaknesses of grounded and abstract representations in the domain of early algebra. Abstract representations, such as algebraic symbols, are concise and easy to manipulate but are distanced from any physical referents. Grounded representations, such as verbal descriptions of situations, are more concrete and familiar, and they are more similar to physical objects and everyday experience. The complementary computational characteristics of grounded and abstract representations lead to trade‐offs (...) in problem‐solving performance. In prior research with high school students solving relatively simple problems, Koedinger and Nathan (2004) demonstrated performance benefits of grounded representations over abstract representations—students were better at solving simple story problems than the analogous equations. This article extends this prior work to examine both simple and more complex problems in two samples of college students. On complex problems with two references to the unknown, a “symbolic advantage” emerged, such that students were better at solving equations than analogous story problems. Furthermore, the previously observed “verbal advantage” on simple problems was replicated. We thus provide empirical support for a trade‐off between grounded, verbal representations, which show advantages on simpler problems, and abstract, symbolic representations, which show advantages on more complex problems. (shrink)

Recent scholarship emphasizes the scaffolding role of language for cognition. Language, it is claimed, is a cognition-enhancing niche ( Clark, 2006 ), a programming tool for cognition ( Lupyan and Bergen, 2016 ), even neuroenhancement ( Dove, 2019 ) and augments cognitive functions such as memory, categorization, cognitive control, and meta-cognitive abilities (“thinking about thinking”). Yet, the notion that language enhances or augments cognition, and in particular, cognitive control does not easily fit in with embodied approaches to language processing, or (...) so we will argue. Accounts aiming to explain how language enhances various cognitive functions often employ a notion of abstract representation. Yet, embodied approaches to language processing have it that language processing crucially, according to some accounts even exclusively, involves embodied, modality-specific, i.e., non-abstract representations. In coming to understand a particular phrase or sentence, a prior experience has to be simulated or reenacted. The representation thus activated is embodied (modality-specific) as sensorimotor regions of the brain are thereby recruited. In this paper, we will first discuss the notion of representation, clarify what it takes for a representation to be embodied or abstract, and distinguish between conceptual and (other) linguistic representations. We will then put forward a characterization of cognitive control and examine its representational infrastructure. The remainder of the paper will be devoted to arguing that language augments cognitive control. To that end, we will draw on two lines of research, which investigate how language augments cognitive control: (i) research on the availability of linguistic labels and (ii) research on the active usage of a linguistic code, specifically, in inner speech. Eventually, we will argue that the cognition-enhancing capacity of language can be explained once we assume that it provides us with (a) abstract, non-embodied representations and with (b) abstract, sparse linguistic representations that may serve as easy-to-manipulate placeholders for fully embodied or otherwise more detailed representations. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:The Paradox of Kandinsky's Abstract RepresentationKenneth BerryThere is a paradox in the relationship between Kandinsky's use of the terms, "abstract" and "concrete," which is presented in the expression, "Kandinsky's abstract representation." Thisexpression, while being apparently contradictory, may point to a feature underpinning Kandinsky's art, which is pivotal to a proper experience of his work, just as, in Christopher Middleton's view, a poetic language may be (...) pivotal to the formation of cultures.1 Art and cultural artifacts are vital to aesthetic experience and aesthetic education, and both the language of art and other languages are instrumental to this end. However, how may Kandinsky's mature abstraction, being in essence objectless, have any claim to representation, and consequently the higher cultural goals of aesthetic expression and the aesthetic enrichment of society?According to Thomas M. Messer, the position of centrality that Kandinsky has assumed in our understanding of modern art is largely due to his having brought to bear on his art, an instinctive awareness of what constituted the central aesthetic issues of his era.2 Kandinsky's writings in Concerning the Spiritual in Art elaborate on his aesthetic theories, and, in particular, [End Page 99] present the view that paintings should be looked at as a graphic representation of a mood rather than as a representation of objects. Messer observes that, for Kandinsky, abstraction, defined as a mode of painting extending beyond the depiction of recognizable objects, having gradually stripped itself of mimetic vestiges, thus becomes paramount. Michael Carter has similarly pointed out that with the pure forms of absolute abstraction, the non-objective colors and shapes of Kandinsky's paintings were regarded as distillations of the aesthetic properties of the artistic sign3 — separable from any referential aspect of art.4 This aesthetic aspect of Kandinsky's work, which became known as nonfigurative, nonobjective, or nonrepresentational,goes along with the cultural — and, as sculptor Anish Kapoor has remarked, "in the deepest, deepest depths of human history the cultural has always been a motivator of people," and has the power to transform society through finding visual equivalents for an emotional language.5Much has been written about Kandinsky's use of color, but perhaps the primary innovation that he made, as in the case of Barnett Newman, was in the field of drawing. Kandinsky was influenced by Gauguin's idea that drawing was an abstraction from memory after nature, just as Gauguin had been affected by the simplified contours and flattened forms of Puvis de Chavannes. Drawing did not come so easily to Kandinsky as color — he had to work harder at drawing, but in his early improvisations, forms and their outlines as graphic symbols came welling up from the unconscious, and eidetic motifs only had to be copied — almost as the art of calligraphy. Kandinsky's "organic" drawing developed as an urge to nonnaturalistic impulses, and during the period of Point and Line to Plane became almost a grammar of form, saved from mere pedantry by the living forces or visual tensions that made various kinds of line operate not just as contours but as dynamic or restful elements within themselves. In 1913, Kandinsky wrote in his "Reminiscences" that, "painting is a thundering collision of different worlds, intended to create a new world in, and from, their struggles with one another, a new world which is the work of art."6 It is clear from this that the Modernist work of art was intended to be a "new world" operating according to its own universal aesthetic laws.Kandinsky is not just a painter; he is also a visual poet. Poetry, according to Tony Curtis, involves the expression of the intensification of experience — the elevation of banal facts of life into something beyond the merely prosaic — something unique and perceptively heightened.7 It involves both imagination and poetic license to explore both ambiguity and paradox. As Scottish poet Norman MacCaig observed, poetry renders the ordinary extraordinary, seeing the unfamiliar in the familiar.8 Creative analogical thinking such as evinced in Kandinsky's art, often involves breaking free of a clichéd representation.Malcolm Budd has remarked that, in its most exclusive sense, a work... (shrink)

This work is an investigation into the analytical debate on pictorial representation and the theory of pictorial art. My main concern are a critical exposition of the questions raised by the idea that it is resemblance to depicted objects that explains pictorial representation and the investigation of the phenomenon of abstract painting from an analytical point of view in relation to the debate on depiction. The first part is dedicated to a survey of the analytical debate on depiction, with (...) special attention to the fortunes and misfortunes of the resemblance theory of depiction. In the first chapter I give an outline of the main contemporary theories on offer, contextualised within an historical background that stretches from Plato to Descartes. I have decided to focus on the theory of resemblance more than on other approaches on depiction, because much of my research is dedicated to an analysis and implementation of one of the theories that have recently sought to re-discover the resemblance paradigm, although with certain important modifications. Namely, the second chapter is dedicated to the exposition of John Hyman’s basic resemblance theory of depiction, to the elucidation of its presuppositions and to the discussion of some criticisms and objections that the theory has raised. The third and the fourth chapter are dedicated to the implementation of Hyman’s theory in relation to the phenomenon of abstract painting. There are two peculiarities about Hyman’s theory: first, it is in counter-tendency in comparison with all the other accounts of depiction on offer, in that it does not need to conceive of pictorial representation as of representation of particulars or kinds of objects that we can easily identify. Second, it is a theory that gives art a prominent role: Hyman illustrates his claims with many examples taken from the history of figurative art. The second part of my work is inspired by the idea that the basic resemblance theory can be applied to abstract paintings as well. Developing an analysis of abstract painting from an analytical point of view is a task that very few authors have tried to accomplish so far – as far as I am aware. However, it is evident that the task abstract painters have set themselves is interestingly akin to the task philosophers try to accomplish when arguing about depiction. It is widely agreed that one of the main topics of contemporary art is art itself and that one of the main topics of abstract painting is the art of painting itself, the art of producing pictures, the exploration of its limits and its conventions. With these considerations in mind, I have sought to sketch my proposal for a basic resemblance theory of abstract painting, critically engaging with philosophers such as Richard Wollheim, Kendall Walton, Lambert Wiesing and with art-critics and historians such as Clement Greenberg and Ernst Gombrich. (shrink)

Focussing on some claims by Richard Wollheim and Clement Greenberg, I investigate how the concepts of depicted figure, background of a pictorial scene and ground of a picture are relevant for an understanding of the relation between figurative and abstract pictures, especially when it comes to considering whether abstract pictures can be said to represent pictorially.

The goal of the present commentary is to show that past results on automatic numerical processing in different notations are consistent with the idea of an abstract numerical representation. This is done by reviewing the relevant studies and giving alternative explanations to the ones proposed in the target article.

Gilead et al. provide a unified account of predictive cognition in which abstract representations play an essential role. Although acknowledging the similarity to linguistic concepts toward the higher end of the proposed abstraction gradient, Gilead et al. do not consider the potential of their account to embrace phonetic and phonological speech sound representations and their neural bases.

The study of neuronal specialisation in different cognitive and perceptual domains is important for our understanding of the human brain, its typical and atypical development, and the evolutionary precursors of cognition. Central to this understanding is the issue of numerical representation, and the question of whether numbers are represented in an abstract fashion. Here we discuss and challenge the claim that numerical representation is abstract. We discuss the principles of cortical organisation with special reference to number and also (...) discuss methodological and theoretical limitations that apply to numerical cognition and also to the field of cognitive neuroscience in general. We argue that numerical representation is primarily non-abstract and is supported by different neuronal populations residing in the parietal cortex. (shrink)

Abstract pictures are distinguished from depictive pictures in that no visibly recognizable objects can be seen in them. Abstract pictures are thus non-depictive and non-figurative. The question still remains, however, if abstract pictures can be representations. The aim of this chapter is to defend the view that abstract pictures can be representational and therefore have content or subject matter. It will be shown that there are at least three ways to understand what the subject matter (...) of abstract pictures can be: it is either abstracted from figurative content, it is spiritual or the subject matter is produced. (shrink)

This paper investigates the roles that abstraction and representation have in activities associated with language. Activities such as associative learning and counting require both the abilities to abstract from and accurately represent the environment. These activities are successfully carried out among vocal learners aside from humans, thereby suggesting that nonhuman animals share something like our capacity for abstraction and representation. The identification of these capabilities in other species provides additional insights into the development of language.

ion is instrumental for our understanding of how numbers are cognitively represented. We propose that the notion of abstraction becomes testable from within the framework of simulated cognition. We describe mental simulation as embodied, grounded, and situated cognition, and report evidence for number representation at each of these levels of abstraction.

Overlaps in form and meaning between morphologically related words have led to ambiguities in interpreting priming effects in studies of lexical organization. In Semitic languages like Arabic, however, linguistic analysis proposes that one of the three component morphemes of a surface word is the CV-Skeleton, an abstract prosodic unit coding the phonological shape of the surface word and its primary syntactic function, which has no surface phonetic content (McCarthy, J. J. (1981). A prosodic theory of non-concatenative morphology, Linguistic Inquiry, (...) 12 373-418). The other two morphemes are proposed to be the vocalic melody, which conveys additional syntactic information, and the root, which defines meaning. In three experiments using masked, cross-modal, and auditory-auditory priming we examined the role of the vocalic melody and the CV-Skeleton as potential morphemic units in the processing and representation of Arabic words. Prime/target pairs sharing the vocalic melody but not the CV-Skeleton consistently failed to prime. In contrast, word pairs sharing only the CV-Skeleton primed reliably throughout, with the amount of priming being as large as that observed between word pattern pairs sharing both vocalic melody and CV-Skeleton. Priming between morphologically related words can be observed when there is no overlap either in meaning or in surface phonetic form. (shrink)

Even the simplest known living organisms are complex chemical processing systems. But how sophisticated is the behaviour that arises from this? We present a framework in which even bacteria can be identified as capable of representing information in arbitrary signal molecules, to facilitate altering their behaviour to optimise their food supplies, for example. Known asion/Representation theory, this framework makes precise the relationship between physical systems and abstract concepts. Originally developed to answer the question of when a physical system is (...) computing, AR theory naturally extends to the realm of biological systems to bring clarity to questions of computation at the cellular level. (shrink)

Natural language processing techniques contribute more and more in analyzing legal documents recently, which supports the implementation of laws and rules using computers. Previous approaches in representing a legal sentence often based on logical patterns that illustrate the relations between concepts in the sentence, often consist of multiple words. Those representations cause the lack of semantic information at the word level. In our work, we aim to tackle such shortcomings by representing legal texts in the form of abstract (...) meaning representation, a graph-based semantic representation that gains lots of polarity in NLP community recently. We present our study in AMR Parsing and AMR-to-text Generation specifically for legal domain. We also introduce JCivilCode, a human-annotated legal AMR dataset which was created and verified by a group of linguistic and legal experts. We conduct an empirical evaluation of various approaches in parsing and generating AMR on our own dataset and show the current challenges. Based on our observation, we propose our domain adaptation method applying in the training phase and decoding phase of a neural AMR-to-text generation model. Our method improves the quality of text generated from AMR graph compared to the baseline model. 2018; and “Legal Text Generation fromMeaning Representation”, published in the 32nd International Conference on Legal Knowledge and Information Systems 2019.). (shrink)

The commentators have raised many pertinent points that allow us to refine and clarify our view. We classify our response comments into seven sections: automaticity; developmental and educational questions; priming; multiple representations or multiple access(?); terminology; methodological advances; and simulated cognition and numerical cognition. We conclude that the default numerical representations are not abstract.

This study aimed to present a novel explanation for the perplexing nature of moral intuition regarding abstract and concrete descriptions of deterministic actions. Nichols and Knobe (2007) have found that, when deterministic actions are described concretely, most people exhibit compatibilist responses. Conversely, when deterministic actions are described abstractly, most people exhibit incompatibilist responses. The prevailing explanation for this phenomenon is that one of the two responses is an error. However, this study argues that this phenomenon can be understood as (...) a consequence of normal operation of the mechanism that generates moral intuition. The focus is on Björnsson’s Explanation Hypothesis (Björnsson & Persson, 2012, 2013; Björnsson, 2015), which posits that differences in explanations provided for deterministic actions in different cases account for the discrepancy in intuition between concrete and abstract cases. This study reinterpreted this proposal by focusing on how actions were represented in concrete and abstract cases and presented a new theory, which is the explanation-representation hypothesis. This theory accounts for both compatibilist and incompatibilist intuition without relying on error accounts. (shrink)

What is a concept? Philosophers have given many different answers to this question, reflecting a wide variety of approaches to the study of mind and language. Nonetheless, at the most general level, there are two dominant frameworks in contemporary philosophy. One proposes that concepts are mental representations, while the other proposes that they are abstract objects. This paper looks at the differences between these two approaches, the prospects for combining them, and the issues that are involved in the (...) dispute. We argue that powerful motivations have been offered in support of both frameworks. This suggests the possibility of combining the two. Unlike Frege, we hold that the resulting position is perfectly coherent and well worth considering. Nonetheless, we argue that it should be rejected along with the view that concepts are abstract objects. (shrink)

Bayesian decision theory provides a simple formal elucidation of some of the ways that representation and representational abstraction are involved with, and exploit, both prediction and its rather distant cousin, predictive coding. Both model-free and model-based methods are involved.

The nature of abstract and concrete semantics and differences between them have remained a debated issue in psycholinguistic and cognitive studies for decades. Most of the available behavioral and neuroimaging studies reveal distinctions between these two types of semantics, typically associated with a so-called “concreteness effect.” Many attempts have been made to explain these differences using various approaches, from purely theoretical linguistic and cognitive frameworks to neuroimaging experiments. In this brief overview, we will try to provide a snapshot of (...) these diverse views and relationships between them and highlight the crucial issues preventing this problem from being solved. We will argue that one potentially beneficial way forward is to identify the neural mechanisms underpinning acquisition of the different types of semantics (e.g., by using neurostimulation techniques to establish causal relationships), which may help explain the distinctions found between the processing of concrete and abstract semantics. (shrink)

According to a simple similarity theory of representation, x represents y because x and y share some properties. In Meaning and Mental Representation, Robert Cummins rejects this account for representations that play a role in cognition because, among other things, a similarity theory of representation precludes a satisfactory account of an essential cognitive task, namely abstraction. Intelligent beings have representations of classes and properties, and we need an account for such representations. Cummins argues that a causal covariance (...) theory of representation, even a very simple version of it, is superior to a similarity theory because causal covariance at least makes abstraction possible. I want to argue that this is not so. Covariance theories of representation do not achieve abstraction. (shrink)

We argue that Cohen Kadosh & Walsh's (CK&W's) definitions of neural coding and of abstract representations are overly shallow, influenced by classical cognitive psychology views of modularity and seriality of information processing, and incompatible with the current knowledge on principles of neural coding. As they stand, the proposed dichotomies are not very useful heuristic tools to guide our research towards a better understanding of the neural computations underlying the processing of numerical quantity in the parietal cortex.

All accounts of language acquisition agree that, by around age 4, children’s knowledge of grammatical constructions is abstract, rather than tied solely to individual lexical items. The aim of the present research was to investigate, focusing on the passive, whether children’s and adults’ performance is additionally semantically constrained, varying according to the distance between the semantics of the verb and those of the construction. In a forced‐choice pointing study (Experiment 1), both 4‐ to 6‐year olds (N = 60) and (...) adults (N = 60) showed support for the prediction of this semantic construction prototype account of an interaction such that the observed disadvantage for passives as compared to actives (i.e., fewer correct points/longer reaction time) was greater for experiencer‐theme verbs than for agent‐patient and theme‐experiencer verbs (e.g., Bob was seen/hit/frightened by Wendy). Similarly, in a production/priming study (Experiment 2), both 4‐ to 6‐year olds (N = 60) and adults (N = 60) produced fewer passives for experiencer‐theme verbs than for agent‐patient/theme‐experiencer verbs. We conclude that these findings are difficult to explain under accounts based on the notion of A(rgument) movement or of a monostratal, semantics‐free, level of syntax, and instead necessitate some form of semantic construction prototype account. (shrink)

We continue work of our earlier paper :219–241, 2009) where abstract logics and particularly intuitionistic abstract logics are studied.logics can be topologized in a direct and natural way. This facilitates a topological study of classes of concrete logics whenever they are given in abstract form. Moreover, such a direct topological approach avoids the often complex algebraic and lattice-theoretic machinery usually applied to represent logics. Motivated by that point of view, we define in this paper the category of (...) intuitionistic abstract logics with stable logic maps as morphisms, and the category of implicative spectral spaces with spectral maps as morphisms. We show the equivalence of these categories and conclude that the larger categories of distributive abstract logics and distributive sober spaces are equivalent, too. (shrink)

The present study used masked repetition priming to examine whether face representations can be accessed without attention. Two experiments using a face recognition task presented masked repetition and control primes in spatially unattended locations prior to target onset. Experiment 1 used the same images as primes and as targets and Experiment 2 used different images of the same individual as primes and targets. Repetition priming was observed across both experiments regardless of whether spatial attention was cued to the location (...) of the prime. Priming occurred for both famous and non-famous targets in Experiment 1 but was only reliable for famous targets in Experiment 2, suggesting that priming in Experiment 1 indexed access to view-specific representations whereas priming in Experiment 2 indexed access to view-invariant, abstract representations. Overall, the results indicate that subliminal access to abstract face representations does not rely on attention. (shrink)

Language comprehension of action verbs recruits embodied representations in the brain that are assumed to invoke a mental simulation. This extends to abstract concepts, as well. We, therefore, argue that mental simulation works across levels of abstractness and involves higher-level schematic structures that subsume a generic structure of actions and events.

The target article undermines the existence of a shared unitary numerical format, illustrating a variety of representations. The / dichotomy does not capture their specific features. These representations are with respect to the sensory modality of the stimulus, and independent of its specific notation, with a main role of spatial codes, both related and unrelated to the mental number line.

The theory put forward by Cohen Kadosh & Walsh (CK&W) proposing that semantic representations of numerical magnitude in the parietal cortex are format-specific, does not specify how these representations might be constructed over the course of learning and development. The developmental predictions of the non-abstract theory are discussed and the need for a developmental perspective on the abstract versus non-abstract question highlighted.

Multimedia learning research addresses the question of how to design instructional material effectively. Signaling and adding graphics are typical instructional means that might support constructing a mental model, particularly when learning abstract content from multiple representations. Although signals can help to select relevant aspects of the learning content, additional graphics could help to visualize mentally the subject matter. Learners’ prior knowledge is an important factor for the effectiveness of both types of support: signals and added graphics. Therefore, we (...) conducted an experimental study situated in a university course of computer science with N = 124 participants. In our 2 × 2 factorial design, we investigated the effects of signals and illustrating graphics on learning outcomes and their potential interplay. Based on our regression analysis, we revealed prior knowledge as a significant moderator. Although learners with low levels of prior knowledge can profit from all types of help but still gain rather weak learning outcomes, learners with medium levels of prior knowledge profit from the synergy of both helps. With higher levels of prior knowledge, signals were particularly hampering. To improve the understanding of these supportive or hampering effects, a more fine-grained analysis of these processes and motivational effects is necessary. (shrink)