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Big Math and the One-Brain Barrier: The Tetrapod Model of Mathematical Knowledge

Jacques Carette, William M. Farmer, Michael Kohlhase, Florian Rabe
2020 The Mathematical intelligencer  
The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.  ...  In any case, computation via inference is intractable (even basic arithmetic ends up in an unexpected complexity class)-somewhat dual to how inference via computation in decision procedures has only limited  ... 
doi:10.1007/s00283-020-10006-0 fatcat:bxwdexjey5h5zo2nnfxpd7cmju

Training the Approximate Number System Improves Math Proficiency

Joonkoo Park, Elizabeth M. Brannon
2013 Psychological Science  
math may be causally related.  ...  for the uniquely human capacity for symbolic math.  ...  Funding Supplemental Material Additional supporting information may be found at http://pss .sagepub.com/content/by/supplemental-data  ... 
doi:10.1177/0956797613482944 pmid:23921769 pmcid:PMC3797151 fatcat:zqsxweooynbqnbg2ahomf57t7a

COVID-19 as the Catalyst of E-leadership and ICT Implementation in Israeli Arab Sector Elementary Schools

Habib Allah Soleman
2020 Journal of Education and Culture Studies  
The article discusses the vicissitudes of practical implementation of distance learning by the use of ICT technologies in the elementary schools of Israel's Arab sector, following the lock-down induced  ...  The experience is certainly both unprecedented and informed by lessons learned from previous emergencies: the author seeks to integrate the existing scholarly and practical frameworks of knowledge and  ...  , Hebrew, English, Sciences and Math.  ... 
doi:10.22158/jecs.v4n2p90 fatcat:4fz4x24ndfhvjnmnr4mhgz33cy

The quasi-human child: How normative conceptions of childhood enabled neoliberal school reform in the United States

Debbie Sonu, Jeremy Benson
2016 Curriculum Inquiry  
In order to understand how the child comes to be known and recognized as a learner, both at the intersections of normative conceptions of childhood and material expectations of the student, we use Biesta's  ...  Currently, she is studying the perspectives of youth and children as they engage difficult knowledge and an understanding of violence and injustice.  ...  The content and delivery of knowledge is decided upon, broken into discrete manageable chunks, and designed, planned, and taught according to a schedule that is quite literally broken down by the minute  ... 
doi:10.1080/03626784.2016.1168259 fatcat:7wwvwlkdjjbzvgeffj4qvuaxse

The Future of Embodied Design for Mathematics Teaching and Learning

Dor Abrahamson, Mitchell J. Nathan, Caro Williams-Pierce, Candace Walkington, Erin R. Ottmar, Hortensia Soto, Martha W. Alibali
2020 Frontiers in Education  
The action of moving simultaneously, the gestures that materialize via student-student conversations, and the teacher-student dialogues that emerge during such an activity epitomize student-centeredness  ...  Teachers establish and maintain common ground to support students in building new knowledge in several key ways: (1) by managing attention to shared referents, which may be accomplished with pointing gestures  ...  Student Gestures Learners' gestures can reveal knowledge not in speech, emerging or transitional knowledge, and how learners schematize information.  ... 
doi:10.3389/feduc.2020.00147 fatcat:dlthbtsmkvdwfd5gqzlni4gaoe

The care and feeding of wild-caught mutants

David Bingham Brown, Michael Vaughn, Ben Liblit, Thomas Reps
2017 Proceedings of the 2017 11th Joint Meeting on Foundations of Software Engineering - ESEC/FSE 2017  
CCS CONCEPTS • Software and its engineering → Software configuration management and version control systems; Software testing and debugging; Parsers; KEYWORDS mutation testing, repository mining, test  ...  Mutins can duplicate this mutation operator via idiomization (to harvest common literal numeric values 0 and 1) or via syntactic mutation operators for the language-specific keywords true, false, and null  ...  >) v ) ; (i) Math-337 fix as found in Just et al.  ... 
doi:10.1145/3106237.3106280 dblp:conf/sigsoft/BrownVLR17 fatcat:d36z4ob7yfb2fhypjuepnl4r3y

Exploring EFL Students' CMC Discourse Practice in a College-level Classroom

조혜성, 안병규, 나윤희
2007 English Teaching  
You do the math. 3) Two men, one bed, you do the math!! As can be seen in example 1, the math can literally involve the numbers and figures.  ...  math~" Hi Shin-ji!  ... 
doi:10.15858/engtea.62.2.200706.217 fatcat:odaflljryja7rieayqdzhcjzty

Culturally adapted mathematics education with ActiveMath

Erica Melis, Giorgi Goguadze, Paul Libbrecht, Carsten Ullrich
2009 AI & Society: The Journal of Human-Centred Systems and Machine Intelligence  
Although it may seem that mathematics education material does not need any enculturation, the opposite is true.  ...  We describe the knowledge representation and mechanisms through which the user-adaptive learning platform ActiveMath realizes those adaptations to the language, countries, and communities of practice.  ...  Slope In French curricula, the average slope -"pente de la sécante" (literally: slope of a secant) -is introduced via secants, i.e., geometrically, rather than analytically.  ... 
doi:10.1007/s00146-009-0215-4 fatcat:iyei3gtdwneplmfyrl2dm4snda

The Situatedness of Mathematics in Motherhood and Academia

Jennifer Sacco, Jill Shahverdian
2018 Journal of Humanistic Mathematics  
Additionally, as a political scientist who wants students to be math literate because it puts the scope of public policy issues into sharp relief, I use math repeatedly to illustrate the necessity and/  ...  long line of mothers working with textiles or similar materials.  ... 
doi:10.5642/jhummath.201802.04 fatcat:jw4fxomcuvgvxkw4qno2wdeadq

Forms of Plagiarism in Digital Mathematical Libraries [article]

Moritz Schubotz, Olaf Teschke, Vincent Stange, Norman Meuschke and Bela Gipp
2019 arXiv   pre-print
Case 10 (unclear) consists of the paper l 10 , parts of which reuse material from e 10 literally identical. However, the overall text similarity is below the critical threshold (score 0.16).  ...  This case likewise illustrates the limitations induced by sub-optimal digitisation.  ... 
arXiv:1905.03322v1 fatcat:qquemvx3pbgojo2pa2jocmsqoi

D3.4.5 Part 2 - Proceedings Of Workshop 5 - Jem- Joining Educational Mathematics

Hans Cuypers
2009 Zenodo  
Representing Structure and Context of Math. Knowledge To structure collections of learning objects and provide them with context OM-Doc groups them into theories and links them via theory morphisms.  ...  Introduction With the ever-increasing globalisation of higher education, learning institutions have to cope with culturally induced differences in prerequisite knowledge and learning practices.  ... 
doi:10.5281/zenodo.46712 fatcat:fgsauzbfevaxlponexfrpil6pi

Financial Literacy and Portfolio Dynamics

MILO BIANCHI
2018 Journal of Finance  
I have no relevant or material nancial interests that relate to the research described in this paper.  ...  When we control for portfolio risk, the most literate households experience 0.4% higher annual returns than the least literate households.  ...  We then consider the possibility of delegated portfolio management. The dummy Delegate equals one if the client has opted for delegated management in at least one contract.  ... 
doi:10.1111/jofi.12605 fatcat:32qtzf77gfdhbos4b2nxjrjgcm

3 MATHEMATICS, EPISTEMOLOGY, ETHICS: ROBERT MUSIL, THE MAN WITHOUT QUALITIES [chapter]

2018 Modernism, Fiction and Mathematics  
In a similar manner to Musil, Bergson distinguishes between rational analysis rooted in the intellect and focused on material reality, and the immediate and absolute knowledge of a thing in intuition.  ...  But maths no longer proves reliable and the ordering function of narrative similarly fails: the contradictory pre-war society is no longer narrative, and the thread of the story manages to order only the  ... 
doi:10.1515/9781474416245-007 fatcat:zlpfxl4wdzdf7mu6dpkolkvnom

Provenance-Aware Knowledge Representation: A Survey of Data Models and Contextualized Knowledge Graphs

Leslie F. Sikos, Dean Philp
2020 Data Science and Engineering  
This paper is a critical review of data models, annotation frameworks, knowledge organization systems, serialization syntaxes, and algebras that enable provenance-aware RDF statements.  ...  RDF can be used to provide the uniform representation of knowledge for processing data from diverse web sources via syntactic and semantic interoperability.  ...  The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material.  ... 
doi:10.1007/s41019-020-00118-0 fatcat:gzavypx5ejeufjmjmc3yhwcdzy

The Prospects for Mathematics in a Multi-Media Civilization

Philip Davis
1999 Humanistic Mathematics Network Journal  
managers who have little technical knowledge.  ...  For the sake of pure art or knowledge? Alas, we are not classic Greeks or 18th century aristocrats, and even their material was pulled along by astronomy and astrology and geography.  ... 
doi:10.5642/hmnj.199901.19.10 fatcat:3icfrxjl5fgltgqrudsfwre3wy
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