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Transfer of Mathematical Knowledge: The Portability of Generic Instantiations

Jennifer A. Kaminski, Vladimir M. Sloutsky, Andrew Heckler
2009 Child Development Perspectives  
One approach to this challenge is to present the learner with a concrete instantiation of the to-be-learned concept.  ...  Concrete instantiations communicate more information than their abstract, generic counterparts and, in doing so, they may facilitate initial learning.  ...  Rather, we suggest that if they are used, measures need to be taken to help the learner extract the relevant structure from the learning context and recognize it in novel contexts.  ... 
doi:10.1111/j.1750-8606.2009.00096.x fatcat:6ueq6lb3b5dt7lp7ki246nuggu

Applying the value of equality unequally: Effects of value instantiations that vary in typicality

Gregory R. Maio, Ulrike Hahn, John-Mark Frost, Wing-Yee Cheung
2009 Journal of Personality and Social Psychology  
This effect occurred when participants generated reasons for valuing equality in the instantiation (Experiment 1) and when participants merely read about hypothetical examples of the instantiation context  ...  Results across experiments indicated that the effect of prior instantiations was not mediated by changes in the abstract value; instead, the process of applying the abstract value was crucial (Experiment  ...  same situational context even though the value of equality was equally relevant to both instantiations.  ... 
doi:10.1037/a0016683 pmid:19785481 fatcat:uw35z7sdyrebhm5xone2phtwem

Abstraction and context in concept representation

J. A. Hampton
2003 Philosophical Transactions of the Royal Society of London. Biological Sciences  
Instantiation as the reverse of abstraction It is possible to argue that most context effects involve the instantiation of an abstract concept by reference to plausibility in the context.  ...  There is a clear link here with Rosch and Mervis' notion of the Hampton: Abstraction and Context 20 basic level of concepts.  ... 
doi:10.1098/rstb.2003.1314 pmid:12903660 pmcid:PMC1693212 fatcat:ttmwpaihrvhtzkordvcwxpyosa

Pre-conceptual-schema-based patterns for deriving key performance indicators from strategic objectives

Carlos Mario Zapata Jaramillo, Luis Fernando Castro Rojas
2017 Ingeniería e Investigación  
Performance measurement is crucial for achieving business success. Moreover, such success is also related to the fulfillment of the organizational strategic objectives.  ...  Hence, an adequate determination of relevant performance indicators—or key performance indicators (KPIs)—and their relationships to organizational objectives is needed.  ...  The instantiated attribute-concept pattern. Context.  ... 
doi:10.15446/ing.investig.v37n2.62252 fatcat:vqaytgqnwfgsvobbag7enhy6ge

LEARNING THEORY: The Advantage of Abstract Examples in Learning Math

J. A. Kaminski, V. M. Sloutsky, A. F. Heckler
2008 Science  
Compared with concrete instantiations, generic instantiations present minimal extraneous information and hence represent mathematical concepts in a manner close to the abstract rules themselves.  ...  Alternatively, the concept can be instantiated in a more abstract manner as the probability of choosing one of n things from a larger set of m things.  ... 
doi:10.1126/science.1154659 pmid:18436760 fatcat:ibs4tn2wi5bdrbzz53ewtkks4q

"Concreteness fading" promotes transfer of mathematical knowledge

Nicole M. McNeil, Emily R. Fyfe
2012 Learning and Instruction  
Undergraduates were randomly assigned to learn a mathematical concept in one of three conditions: generic, in which the concept was instantiated using abstract symbols, concrete in which it was instantiated  ...  However, concrete instantiations may benefit transfer in the long run, particularly if they are "faded" into more abstract instantiations.  ...  For example, the fading condition in the present study first introduced the concept with representations that activated realworld knowledge (i.e., measuring cups).  ... 
doi:10.1016/j.learninstruc.2012.05.001 fatcat:ytzhvktlnbdm7niztfn3dazmxy

Mental Representations of Social Values [chapter]

Gregory R. Maio
2010 Advances in Experimental Social Psychology  
Values are used at an abstract level in real-world contexts.  ...  equality in the context of an atypical instantiation.  ... 
doi:10.1016/s0065-2601(10)42001-8 fatcat:o6kbdq7idbbjllhlj5tckcxsb4

Quantifying usability of domain-specific languages: An empirical study on software maintenance

Diego Albuquerque, Bruno Cafeo, Alessandro Garcia, Simone Barbosa, Silvia Abrahão, António Ribeiro
2015 Journal of Systems and Software  
A usability measurement framework was developed based on the Cognitive Dimensions of Notations (CDN).  ...  It is expected that DSLs improve the maintainability of artifacts otherwise produced with general-purpose languages.  ...  For example, the measure for the CD Abstraction is presented in contrast to the number of Elements to the number of Concepts.  ... 
doi:10.1016/j.jss.2014.11.051 fatcat:zd4wvq6eijam5nbdbadupm64ka

Pattern-Based Design Research – An Iterative Research Method Balancing Rigor and Relevance [chapter]

Sabine Buckl, Florian Matthes, Alexander W. Schneider, Christian M. Schweda
2013 Lecture Notes in Computer Science  
To ensure relevance of the research outcome, research projects in IS are often conducted in close cooperation with one or more industry partners.  ...  partner(s) while performing rigorous and relevant design science research.  ...  Relevant measures given the perspective of pattern-based learning are measures that adapt the information model.  ... 
doi:10.1007/978-3-642-38827-9_6 fatcat:gttflir46raatcwcmfdcaueoky

Abstract or Concrete Examples in Learning Mathematics? A Replication and Elaboration of Kaminski, Sloutsky, and Heckler's Study

Dirk De Bock, Johan Deprez, Wim Van Dooren, Michel Roelens, Lieven Verschaffel
2011 Journal for Research in Mathematics Education  
s findings, but the accompanying qualitative data raise serious questions about their interpretation of what students actually learned from the abstract concept exemplification.  ...  Moreover, whereas Kaminski et al. showed that abstract learners transferred what they had learned to a similar abstract context, this study shows also that students who learned from concrete examples transferred  ...  They doubt the "taken for granted" belief that well-chosen concrete contexts can facilitate students' understanding of an underlying abstract mathematical concept, because "instantiating an abstract concept  ... 
doi:10.5951/jresematheduc.42.2.0109 fatcat:fyiedsko25cvfmlkegplau7yxu

Specializing a Design Science Research Methodology for the Domains of is/IT Management and IT Project Management

Andreas Drechsler
2014 European Conference on Information Systems  
The methodology was synthesized based on the current state-of-the-art of DSR in the management discipline and is aimed at designing, instantiating, and evaluating management artefacts.  ...  Furthermore, the phases of the research agenda can serve as a foundation for further research on how to reduce the level of abstraction of artefacts in a systematic way.  ...  to be mutable to fit to a specific context) while instantiated artefacts are to be evaluated in terms of their instrumental relevance (or actual utility).  ... 
dblp:conf/ecis/Drechsler14 fatcat:fiyrxn7mhbhghppozvdgjzx4hq

A framework for unifying ontology-based semantic similarity measures: A study in the biomedical domain

Sébastien Harispe, David Sánchez, Sylvie Ranwez, Stefan Janaqi, Jacky Montmain
2014 Journal of Biomedical Informatics  
By demonstrating that groups of measures are just particular instantiations of parameterized functions, we unify a large number of state-of-the-art semantic similarity measures through common expressions  ...  The application of the proposed framework and its practical usefulness is underlined by an empirical analysis of hundreds of semantic measures in a biomedical context.  ...  We can therefore conclude that relevancy of tuning a and b depends on the selected abstract measure from which the similarity measure will be instantiated.  ... 
doi:10.1016/j.jbi.2013.11.006 pmid:24269894 fatcat:3drmastybvgqhlxsc4vjxikhx4

The cost of concreteness: The effect of nonessential information on analogical transfer

Jennifer A. Kaminski, Vladimir M. Sloutsky, Andrew F. Heckler
2013 Journal of experimental psychology. Applied  
The 5 reported experiments with undergraduate students tested the hypothesis by presenting participants with the concept of a commutative mathematical group of order 3.  ...  The experiments varied the level of concreteness of the training instantiation and measured transfer of learning to a new instantiation.  ...  For the purposes of this article, we are concerned not with the concreteness of concepts, but with the concreteness of instantiations of abstract concepts.  ... 
doi:10.1037/a0031931 pmid:23544473 fatcat:cmpio52jgngkdf5zgiprhrx2qm

ALIA4J's [(just-in-time) compile-time] MOP for advanced dispatching

Christoph Bockisch, Andreas Sewe, Martin Zandberg
2011 Proceedings of the compilation of the co-located workshops on DSM'11, TMC'11, AGERE!'11, AOOPES'11, NEAT'11, & VMIL'11 - SPLASH '11 Workshops  
In the latter two cases, the implementation can reason about the current code generation context; this enables sophisticated optimizations.  ...  The meta-object protocol (MOP) formed by the meta-model and the framework are defined such that new programming language concepts can be implemented modularly.  ...  Acknowledgments We would like to thank Andre Loker, who has developed the unified model of aspect instantiation strategies underlying the PerTu-pleContext.  ... 
doi:10.1145/2095050.2095101 dblp:conf/oopsla/BockischSZ11 fatcat:m6ukb6mfonfh5ifg5fr36syh2q

Constructs in the Mist: The Lost World of the IT Artifact

Joerg Evermann, Mary Tate
2009 International Conference on Information Systems  
We propose a theory template that can be used to instantiate specific theories. We illustrate this template by examining how it can be used to instantiate existing theories and develop new theories.  ...  In addressing this question, IS researchers frequently invoke psychological constructs at a high level of abstraction, in order to achieve theories that allow wide knowledge claims.  ...  Seddon and Scheepers, 2006) than in the generalization of abstraction of concepts. It is however the latter that this research is interested in.  ... 
dblp:conf/icis/EvermannT09 fatcat:gddssucafrgqvewsuj5ujmfibi
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