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\providecommand{\bysame}{\leavevmode\hbox to3em{\hrulefill}\thinspace} | |
\providecommand{\MR}{\relax\ifhmode\unskip\space\fi MR } | |
% \MRhref is called by the amsart/book/proc definition of \MR. | |
\providecommand{\MRhref}[2]{% | |
\href{http://www.ams.org/mathscinet-getitem?mr=#1}{#2} | |
} | |
\providecommand{\href}[2]{#2} | |
\begin{thebibliography}{100} | |
\bibitem{abraham2012creativity} | |
Anna Abraham, Karoline Pieritz, Kristin Thybusch, Barbara Rutter, S{\"o}ren | |
Kr{\"o}ger, Jan Schweckendiek, Rudolf Stark, Sabine Windmann, and Christiane | |
Hermann, \emph{Creativity and the brain: uncovering the neural signature of | |
conceptual expansion}, Neuropsychologia \textbf{50} (2012), no.~8, | |
1906--1917. | |
\bibitem{abraham2008thinking} | |
Anna Abraham, Ricarda~I Schubotz, and D~Yves von Cramon, \emph{Thinking about | |
the future versus the past in personal and non-personal contexts}, Brain | |
research \textbf{1233} (2008), 106--119. | |
\bibitem{adcock2006reward} | |
R~Alison Adcock, Arul Thangavel, Susan Whitfield-Gabrieli, Brian Knutson, and | |
John~DE Gabrieli, \emph{Reward-motivated learning: mesolimbic activation | |
precedes memory formation}, Neuron \textbf{50} (2006), no.~3, 507--517. | |
\bibitem{aliyari2015effects} | |
Hamed Aliyari, Masoomeh Kazemi, Elaheh Tekieh, Maryam Salehi, Hedayat Sahraei, | |
Mohammad~Reza Daliri, Hassan Agaei, Behroz Minaei, Reza Lashgari, Nahid | |
Srahian, et~al., \emph{The effects of fifa 2015 computer games on changes in | |
cognitive, hormonal and brain waves functions of young men volunteers}, Basic | |
and Clinical Neuroscience \textbf{6} (2015), no.~3, 193--201. | |
\bibitem{almstrum1996investigating} | |
Vicki~L Almstrum, \emph{Investigating student difficulties with mathematical | |
logic}, Teaching and Learning Formal Methods (1996), 131--160. | |
\bibitem{anderson2011cognitive} | |
John~R Anderson, Shawn Betts, Jennifer~L Ferris, and Jon~M Fincham, | |
\emph{Cognitive and metacognitive activity in mathematical problem solving: | |
prefrontal and parietal patterns}, Cognitive, Affective, \& Behavioral | |
Neuroscience \textbf{11} (2011), no.~1, 52--67. | |
\bibitem{anderson2003information} | |
John~R Anderson, Yulin Qin, Myeong-Ho Sohn, V~Andrew Stenger, and Cameron~S | |
Carter, \emph{An information-processing model of the bold response in symbol | |
manipulation tasks}, Psychonomic Bulletin \& Review \textbf{10} (2003), | |
no.~2, 241--261. | |
\bibitem{arcavi1998teaching} | |
Abraham Arcavi, Cathy Kessel, Luciano Meira, and John~P Smith, \emph{Teaching | |
mathematical problem solving: An analysis of an emergent classroom | |
community}, Research in collegiate mathematics education, III \textbf{7} | |
(1998), 1--70. | |
\bibitem{bachmann2015brain} | |
Talis Bachmann, \emph{On the brain-imaging markers of neural correlates of | |
consciousness}, Frontiers in psychology \textbf{6} (2015). | |
\bibitem{baranchik1998supplementary} | |
ALVIN Baranchik and BARRY Cherkas, \emph{Supplementary methods for assessing | |
student performance on a standardized test in elementary algebra}, Research | |
in Collegiate Mathematics Education \textbf{3} (1998), 216--233. | |
\bibitem{Bezdek2015338} | |
M.A. Bezdek, R.J. Gerrig, W.G. Wenzel, J.~Shin, K.~Pirog Revill, and E.H. | |
Schumacher, \emph{Neural evidence that suspense narrows attentional focus}, | |
Neuroscience \textbf{303} (2015), 338 -- 345. | |
\bibitem{black1998inside} | |
Paul Black and Dylan Wiliam, \emph{Inside the black box: Raising standards | |
through classroom assessment}, Granada Learning, 1998. | |
\bibitem{blood2001intensely} | |
Anne~J Blood and Robert~J Zatorre, \emph{Intensely pleasurable responses to | |
music correlate with activity in brain regions implicated in reward and | |
emotion}, Proceedings of the National Academy of Sciences \textbf{98} (2001), | |
no.~20, 11818--11823. | |
\bibitem{booth1997phenomenography} | |
Shirley Booth, \emph{On phenomenography, learning and teaching}, Higher | |
education research \& development \textbf{16} (1997), no.~2, 135--158. | |
\bibitem{born2012system} | |
Jan Born and Ines Wilhelm, \emph{System consolidation of memory during sleep}, | |
Psychological research \textbf{76} (2012), no.~2, 192--203. | |
\bibitem{bower2000postscript} | |
J~Bower, \emph{Postscript: integrating themes on discourse and design}, | |
Symbolizing and Communicating in Mathematics Classrooms. Perspectives on | |
Discourse, Tools, and Instructional Design, Erlbaum, Mahwah (2000), 385--399. | |
\bibitem{boyatzis1998transforming} | |
Richard~E Boyatzis, \emph{Transforming qualitative information: Thematic | |
analysis and code development}, Sage, 1998. | |
\bibitem{bransford2000designs} | |
John Bransford, Linda Zech, D~Schwarz, Bngid Barron, and Nancy Vye, | |
\emph{Designs for environments that invite and sustain mathematical | |
thinking}, Symbolizing and Communicating in Mathematics Classrooms (2000), | |
275--324. | |
\bibitem{braun2006using} | |
Virginia Braun and Victoria Clarke, \emph{Using thematic analysis in | |
psychology}, Qualitative research in psychology \textbf{3} (2006), no.~2, | |
77--101. | |
\bibitem{Bridge01082015} | |
Donna~J. Bridge and Joel~L. Voss, \emph{Binding among select episodic elements | |
is altered via active short-term retrieval}, Learning \& Memory \textbf{22} | |
(2015), no.~8, 360--363. | |
\bibitem{bridges2007did} | |
Douglas~S Bridges, \emph{Did brouwer really believe that?}, (2007). | |
\bibitem{brosch2013impact} | |
Tobias Brosch, Klaus~R Scherer, Didier Grandjean, and David Sander, \emph{The | |
impact of emotion on perception, attention, memory, and decision-making}, | |
Swiss Med. Wkly \textbf{143} (2013), w13786. | |
\bibitem{bulloch2009makes} | |
Megan~J Bulloch and John~E Opfer, \emph{What makes relational reasoning smart? | |
revisiting the perceptual-to-relational shift in the development of | |
generalization}, Developmental Science \textbf{12} (2009), no.~1, 114--122. | |
\bibitem{bussey2013variation} | |
Thomas~J Bussey, MaryKay Orgill, and Kent~J Crippen, \emph{Variation theory: A | |
theory of learning and a useful theoretical framework for chemical education | |
research}, Chemistry Education Research and Practice \textbf{14} (2013), | |
no.~1, 9--22. | |
\bibitem{carlson1998cross} | |
Marilyn~P Carlson, \emph{A cross-sectional investigation of the development of | |
the function concept}, Research in Collegiate Mathematics Education III, | |
Conference Board of the Mathematical Sciences, Issues in Mathematics | |
Education, vol.~7, 1998, pp.~114--162. | |
\bibitem{carlsson2000neurobiology} | |
Ingegerd Carlsson, Peter~E Wendt, and Jarl Risberg, \emph{On the neurobiology | |
of creativity. differences in frontal activity between high and low creative | |
subjects}, Neuropsychologia \textbf{38} (2000), no.~6, 873--885. | |
\bibitem{cerf2014studying} | |
Moran Cerf, Hagar Gelbard-Sagiv, and Itzhak Fried, \emph{Studying thoughts and | |
deliberations using single neuron recordings in humans}, Single Neuron | |
Studies of the Human Brain: Probing Cognition (2014), 189. | |
\bibitem{chambers2003developmental} | |
R~Andrew Chambers, Jane~R Taylor, and Marc~N Potenza, \emph{Developmental | |
neurocircuitry of motivation in adolescence: a critical period of addiction | |
vulnerability}, American Journal of Psychiatry (2003). | |
\bibitem{chou2011sex} | |
Kun-Hsien Chou, Yawei Cheng, I-Yun Chen, Ching-Po Lin, and Woei-Chyn Chu, | |
\emph{Sex-linked white matter microstructure of the social and analytic | |
brain}, Neuroimage \textbf{54} (2011), no.~1, 725--733. | |
\bibitem{Christoff20098719} | |
K.~Christoff, A.M. Gordon, J.~Smallwood, R.~Smith, and J.W. Schooler, | |
\emph{Experience sampling during fmri reveals default network and executive | |
system contributions to mind wandering}, Proceedings of the National Academy | |
of Sciences of the United States of America \textbf{106} (2009), no.~21, | |
8719--8724, cited By 400. | |
\bibitem{cohen1982modified} | |
David~W Cohen, \emph{A modified moore method for teaching undergraduate | |
mathematics}, American Mathematical Monthly (1982), 473--490. | |
\bibitem{cowansage2014direct} | |
Kiriana~K Cowansage, Tristan Shuman, Blythe~C Dillingham, Allene Chang, Peyman | |
Golshani, and Mark Mayford, \emph{Direct reactivation of a coherent | |
neocortical memory of context}, Neuron \textbf{84} (2014), no.~2, 432--441. | |
\bibitem{davis1984protein} | |
Hasker~P Davis and Larry~R Squire, \emph{Protein synthesis and memory: a | |
review.}, Psychological bulletin \textbf{96} (1984), no.~3, 518. | |
\bibitem{day2007nonintentional} | |
Samuel~B Day and Dedre Gentner, \emph{Nonintentional analogical inference in | |
text comprehension}, Memory \& cognition \textbf{35} (2007), no.~1, 39--49. | |
\bibitem{decety2007role} | |
Jean Decety and Claus Lamm, \emph{The role of the right temporoparietal | |
junction in social interaction: how low-level computational processes | |
contribute to meta-cognition}, The Neuroscientist (2007). | |
\bibitem{deng2010new} | |
Wei Deng, James~B Aimone, and Fred~H Gage, \emph{New neurons and new memories: | |
how does adult hippocampal neurogenesis affect learning and memory?}, Nature | |
Reviews Neuroscience \textbf{11} (2010), no.~5, 339--350. | |
\bibitem{devlin2012mathematical} | |
Keith Devlin, \emph{Introduction to mathematical thinking}, Keith Devlin, 2012. | |
\bibitem{diekelmann2012offline} | |
Susanne Diekelmann, Simon Biggel, Bj{\"o}rn Rasch, and Jan Born, \emph{Offline | |
consolidation of memory varies with time in slow wave sleep and can be | |
accelerated by cuing memory reactivations}, Neurobiology of learning and | |
memory \textbf{98} (2012), no.~2, 103--111. | |
\bibitem{diekelmann2010memory} | |
Susanne Diekelmann and Jan Born, \emph{The memory function of sleep}, Nature | |
Reviews Neuroscience \textbf{11} (2010), no.~2, 114--126. | |
\bibitem{dorfler2000means} | |
Willi D{\"o}rfler, \emph{Means for meaning}, Symbolizing and communicating in | |
mathematics classrooms (2000), 99--131. | |
\bibitem{dubinsky2002apos} | |
Ed~Dubinsky and Michael~A McDonald, \emph{Apos: A constructivist theory of | |
learning in undergraduate mathematics education research}, The teaching and | |
learning of mathematics at university level, Springer, 2002, pp.~275--282. | |
\bibitem{dudai2012restless} | |
Yadin Dudai, \emph{The restless engram: consolidations never end}, Annual | |
review of neuroscience \textbf{35} (2012), 227--247. | |
\bibitem{dunbar2000scientists} | |
Kevin Dunbar, \emph{How scientists think in the real world: Implications for | |
science education}, Journal of Applied Developmental Psychology \textbf{21} | |
(2000), no.~1, 49--58. | |
\bibitem{eickhoff2015excessive} | |
Erin Eickhoff, Kathryn Yung, Diane~L Davis, Frank Bishop, Warren~P Klam, and | |
Andrew~P Doan, \emph{Excessive video game use, sleep deprivation, and poor | |
work performance among us marines treated in a military mental health clinic: | |
A case series}, Military medicine \textbf{180} (2015), no.~7, e839--e843. | |
\bibitem{ellenbogen2007human} | |
Jeffrey~M Ellenbogen, Peter~T Hu, Jessica~D Payne, Debra Titone, and Matthew~P | |
Walker, \emph{Human relational memory requires time and sleep}, Proceedings | |
of the National Academy of Sciences \textbf{104} (2007), no.~18, 7723--7728. | |
\bibitem{epp2010discrete} | |
Susanna Epp, \emph{Discrete mathematics with applications}, Cengage Learning, | |
2010. | |
\bibitem{fenker2008novel} | |
Daniela~B Fenker, Julietta~U Frey, Hartmut Schuetze, Dorothee Heipertz, | |
Hans-Jochen Heinze, and Emrah Duzel, \emph{Novel scenes improve recollection | |
and recall of words}, Journal of cognitive neuroscience \textbf{20} (2008), | |
no.~7, 1250--1265. | |
\bibitem{fereday2008demonstrating} | |
Jennifer Fereday and Eimear Muir-Cochrane, \emph{Demonstrating rigor using | |
thematic analysis: A hybrid approach of inductive and deductive coding and | |
theme development}, International journal of qualitative methods \textbf{5} | |
(2008), no.~1, 80--92. | |
\bibitem{fink1996brain} | |
Gereon~R Fink, Peter~W Halligan, John~C Marshall, Chris~D Frith, RSJ | |
Frackowiak, and Raymond~J Dolan, \emph{Where in the brain does visual | |
attention select the forest and the trees?}, (1996). | |
\bibitem{fischbein1987intuition} | |
Efraim Fischbein, \emph{Intuition in science and mathematics: An educational | |
approach}, vol.~5, Springer Science \& Business Media, 1987. | |
\bibitem{fletcher2001frontal} | |
PC~Fletcher and R~Nx˙~A Henson, \emph{Frontal lobes and human memory}, Brain | |
\textbf{124} (2001), no.~5, 849--881. | |
\bibitem{forcato2013role} | |
Cecilia Forcato, Rodrigo~S Fernandez, and Mar{\'\i}a~E Pedreira, \emph{The role | |
and dynamic of strengthening in the reconsolidation process in a human | |
declarative memory: what decides the fate of recent and older memories?}, | |
(2013). | |
\bibitem{frankland2005organization} | |
Paul~W Frankland and Bruno Bontempi, \emph{The organization of recent and | |
remote memories}, Nature Reviews Neuroscience \textbf{6} (2005), no.~2, | |
119--130. | |
\bibitem{Franklin} | |
J.~Franklin and A.~Daoud, \emph{Proof in mathematics: An introduction}, | |
\url{web.maths.unsw.edu.au/∼jim/proofsch2.pdf}, 2011. | |
\bibitem{freudenthal1973mathematics} | |
Hans Freudenthal, \emph{Mathematics as an educational task}, Springer Science | |
\& Business Media, 1973. | |
\bibitem{frey2008synaptic} | |
Sabine Frey and Julietta~U Frey, \emph{‘synaptic tagging’and | |
‘cross-tagging’and related associative reinforcement processes of | |
functional plasticity as the cellular basis for memory formation}, Progress | |
in brain research \textbf{169} (2008), 117--143. | |
\bibitem{frey1997synaptic} | |
Uwe Frey and Richard~GM Morris, \emph{Synaptic tagging and long-term | |
potentiation}, Nature \textbf{385} (1997), no.~6616, 533--536. | |
\bibitem{fried2014single} | |
Itzhak Fried, Ueli Rutishauser, Moran Cerf, and Gabriel Kreiman, \emph{Single | |
neuron studies of the human brain: Probing cognition}, MIT Press, 2014. | |
\bibitem{gais2006sleep} | |
Steffen Gais, Brian Lucas, and Jan Born, \emph{Sleep after learning aids memory | |
recall}, Learning \& Memory \textbf{13} (2006), no.~3, 259--262. | |
\bibitem{gentner1988metaphor} | |
Dedre Gentner, \emph{Metaphor as structure mapping: The relational shift}, | |
Child development (1988), 47--59. | |
\bibitem{gentner2012analogical} | |
Dedre Gentner and Linsey Smith, \emph{Analogical reasoning}, Encyclopedia of | |
human behavior (2012), 130--136. | |
\bibitem{gentner1986systematicity} | |
Dedre Gentner and Cecile Toupin, \emph{Systematicity and surface similarity in | |
the development of analogy}, Cognitive science \textbf{10} (1986), no.~3, | |
277--300. | |
\bibitem{gibson1998students} | |
DAVID Gibson, \emph{Students’ use of diagrams to develop proofs in an | |
introductory analysis course}, CBMS issues in mathematics education | |
\textbf{7} (1998), 284--307. | |
\bibitem{gick1980analogical} | |
Mary~L Gick and Keith~J Holyoak, \emph{Analogical problem solving}, Cognitive | |
psychology \textbf{12} (1980), no.~3, 306--355. | |
\bibitem{glaser2008conceptualization} | |
Barney~G Glaser, \emph{Conceptualization: On theory and theorizing using | |
grounded theory}, International Journal of Qualitative Methods \textbf{1} | |
(2008), no.~2, 23--38. | |
\bibitem{gray1994duality} | |
Eddie~M Gray and David~O Tall, \emph{Duality, ambiguity, and flexibility: A | |
"proceptual" view of simple arithmetic}, Journal for research in Mathematics | |
Education (1994), 116--140. | |
\bibitem{gries2012science} | |
David Gries, \emph{The science of programming}, Springer Science \& Business | |
Media, 2012. | |
\bibitem{gurden1999integrity} | |
H~Gurden, J-P Tassin, and TM~Jay, \emph{Integrity of the mesocortical | |
dopaminergic system is necessary for complete expression of in vivo | |
hippocampal--prefrontal cortex long-term potentiation}, Neuroscience | |
\textbf{94} (1999), no.~4, 1019--1027. | |
\bibitem{harel1998students} | |
Guershon Harel and Larry Sowder, \emph{Students’ proof schemes: Results from | |
exploratory studies}, Research in collegiate mathematics education III | |
\textbf{7} (1998), 234--282. | |
\bibitem{harel1991constructionism} | |
Idit~Ed Harel and Seymour~Ed Papert, \emph{Constructionism.}, Ablex Publishing, | |
1991. | |
\bibitem{hazzan2003students} | |
Orit Hazzan, \emph{How students attempt to reduce abstraction in the learning | |
of mathematics and in the learning of computer science}, Computer Science | |
Education \textbf{13} (2003), no.~2, 95--122. | |
\bibitem{hiebert2013conceptual} | |
James Hiebert, \emph{Conceptual and procedural knowledge: The case of | |
mathematics}, Routledge, 2013. | |
\bibitem{huang2015highest} | |
Li~Huang, Francesca Gino, and Adam~D Galinsky, \emph{The highest form of | |
intelligence: Sarcasm increases creativity for both expressers and | |
recipients}, Organizational Behavior and Human Decision Processes (2015). | |
\bibitem{hunt1995subtlety} | |
R~Reed Hunt, \emph{The subtlety of distinctiveness: What von restorff really | |
did}, Psychonomic Bulletin \& Review \textbf{2} (1995), no.~1, 105--112. | |
\bibitem{huth2012continuous} | |
Alexander~G Huth, Shinji Nishimoto, An~T Vu, and Jack~L Gallant, \emph{A | |
continuous semantic space describes the representation of thousands of object | |
and action categories across the human brain}, Neuron \textbf{76} (2012), | |
no.~6, 1210--1224. | |
\bibitem{hyman2001addiction} | |
Steven~E Hyman and Robert~C Malenka, \emph{Addiction and the brain: the | |
neurobiology of compulsion and its persistence}, Nature reviews neuroscience | |
\textbf{2} (2001), no.~10, 695--703. | |
\bibitem{imamoglu2012changes} | |
Fatma Imamoglu, Thorsten Kahnt, Christof Koch, and John-Dylan Haynes, | |
\emph{Changes in functional connectivity support conscious object | |
recognition}, Neuroimage \textbf{63} (2012), no.~4, 1909--1917. | |
\bibitem{jacobs2008developing} | |
Sally Jacobs and Maria Trigueros, \emph{On developing a rich conception of | |
variable}, Making the connection: Research and teaching in undergraduate | |
mathematics education (2008), no.~73, 1. | |
\bibitem{kafkas2015striatal} | |
Alexandros Kafkas and Daniela Montaldi, \emph{Striatal and midbrain | |
connectivity with the hippocampus selectively boosts memory for contextual | |
novelty}, Hippocampus (2015). | |
\bibitem{kaput1998research} | |
James~J Kaput, Alan~H Schoenfeld, and Ed~Dubinsky, \emph{Research in collegiate | |
mathematics education iii}, vol.~4, American Mathematical Soc., 1998. | |
\bibitem{karpicke2008critical} | |
Jeffrey~D Karpicke and Henry~L Roediger, \emph{The critical importance of | |
retrieval for learning}, science \textbf{319} (2008), no.~5865, 966--968. | |
\bibitem{kee2007preferential} | |
Nohjin Kee, C{\'a}tia~M Teixeira, Afra~H Wang, and Paul~W Frankland, | |
\emph{Preferential incorporation of adult-generated granule cells into | |
spatial memory networks in the dentate gyrus}, Nature neuroscience | |
\textbf{10} (2007), no.~3, 355--362. | |
\bibitem{keller2009gender} | |
Katherine Keller and Vinod Menon, \emph{Gender differences in the functional | |
and structural neuroanatomy of mathematical cognition}, Neuroimage | |
\textbf{47} (2009), no.~1, 342--352. | |
\bibitem{kemmerer} | |
David Kemmerer, \emph{Cognitive neurscience of language}, Psychology Press, | |
2015. | |
\bibitem{kendall1999axial} | |
Judy Kendall, \emph{Axial coding and the grounded theory controversy}, Western | |
journal of nursing research \textbf{21} (1999), no.~6, 743--757. | |
\bibitem{kinsbourne1974mechanism} | |
Marcel Kinsbourne and James George, \emph{The mechanism of the word-frequency | |
effect on recognition memory}, Journal of Verbal Learning and Verbal Behavior | |
\textbf{13} (1974), no.~1, 63--69. | |
\bibitem{kishiyama2004restorff} | |
Mark~M Kishiyama, Andy~P Yonelinas, and MM~Lazzara, \emph{The von restorff | |
effect in amnesia: The contribution of the hippocampal system to | |
novelty-related memory enhancements}, Journal of cognitive neuroscience | |
\textbf{16} (2004), no.~1, 15--23. | |
\bibitem{kitamura2009adult} | |
Takashi Kitamura, Yoshito Saitoh, Noriko Takashima, Akiko Murayama, Yosuke | |
Niibori, Hiroshi Ageta, Mariko Sekiguchi, Hiroyuki Sugiyama, and Kaoru | |
Inokuchi, \emph{Adult neurogenesis modulates the hippocampus-dependent period | |
of associative fear memory}, Cell \textbf{139} (2009), no.~4, 814--827. | |
\bibitem{klimesch1996theta} | |
W~Klimesch, M~Doppelmayr, H~Russegger, and Th~Pachinger, \emph{Theta band power | |
in the human scalp eeg and the encoding of new information.}, Neuroreport | |
\textbf{7} (1996), no.~7, 1235--1240. | |
\bibitem{knutson2001anticipation} | |
Brian Knutson, Charles~M Adams, Grace~W Fong, and Daniel Hommer, | |
\emph{Anticipation of increasing monetary reward selectively recruits nucleus | |
accumbens}, J Neurosci \textbf{21} (2001), no.~16, RC159. | |
\bibitem{knutson2003region} | |
Brian Knutson, Grace~W Fong, Shannon~M Bennett, Charles~M Adams, and Daniel | |
Hommer, \emph{A region of mesial prefrontal cortex tracks monetarily | |
rewarding outcomes: characterization with rapid event-related fmri}, | |
Neuroimage \textbf{18} (2003), no.~2, 263--272. | |
\bibitem{kosslyn1992wet} | |
Stephen~Michael Kosslyn and Olivier Koenig, \emph{Wet mind: The new cognitive | |
neuroscience}, Simon and Schuster, 1992. | |
\bibitem{kounios2015eureka} | |
John Kounios and Mark Beeman, \emph{The eureka factor: Aha moments, creative | |
insight, and the brain}, Random House, 2015. | |
\bibitem{kowatari2009neural} | |
Yasuyuki Kowatari, Seung~Hee Lee, Hiromi Yamamura, Yusuke Nagamori, Pierre | |
Levy, Shigeru Yamane, and Miyuki Yamamoto, \emph{Neural networks involved in | |
artistic creativity}, Human brain mapping \textbf{30} (2009), no.~5, | |
1678--1690. | |
\bibitem{krebs2009personality} | |
Ruth~M Krebs, Bj{\"o}rn~H Schott, and Emrah D{\"u}zel, \emph{Personality traits | |
are differentially associated with patterns of reward and novelty processing | |
in the human substantia nigra/ventral tegmental area}, Biological psychiatry | |
\textbf{65} (2009), no.~2, 103--110. | |
\bibitem{kuriyama2004sleep} | |
Kenichi Kuriyama, Robert Stickgold, and Matthew~P Walker, \emph{Sleep-dependent | |
learning and motor-skill complexity}, Learning \& Memory \textbf{11} (2004), | |
no.~6, 705--713. | |
\bibitem{lee2007strategic} | |
Kerry Lee, Zee~Ying Lim, Stephanie~HM Yeong, Swee~Fong Ng, Vinod Venkatraman, | |
and Michael~WL Chee, \emph{Strategic differences in algebraic problem | |
solving: Neuroanatomical correlates}, Brain research \textbf{1155} (2007), | |
163--171. | |
\bibitem{lehrer2000inter} | |
Richard Lehrer, Leona Schauble, Susan Carpenter, and David Penner, \emph{The | |
inter-related development of inscriptions and conceptual understanding}, | |
Symbolizing and communicating in mathematics classrooms: Perspectives on | |
discourse, tools, and instructional design (2000), 325--360. | |
\bibitem{leron1983structuring} | |
Uri Leron, \emph{Structuring mathematical proofs}, American Mathematical | |
Monthly (1983), 174--185. | |
\bibitem{leron1995abstract} | |
Uri Leron and Ed~Dubinsky, \emph{An abstract algebra story}, American | |
Mathematical Monthly (1995), 227--242. | |
\bibitem{lesh2000symbolizing} | |
Richard Lesh and Helen~M Doerr, \emph{Symbolizing, communicating, and | |
mathematizing: Key components of models and modeling}, Symbolizing and | |
communicating in mathematics classrooms: Perspectives on discourse, tools, | |
and instructional design (2000), 361--384. | |
\bibitem{lindquist2013mind} | |
Sophie~India Lindquist, \emph{Mind wandering during lectures: Observations of | |
the prevalence and correlates of attentional lapses, and their relationships | |
with task characteristics and memory}, (2013). | |
\bibitem{lisman2011neohebbian} | |
John Lisman, Anthony~A Grace, and Emrah Duzel, \emph{A neohebbian framework for | |
episodic memory; role of dopamine-dependent late ltp}, Trends in | |
neurosciences \textbf{34} (2011), no.~10, 536--547. | |
\bibitem{lisman2013habit} | |
John Lisman and Eliezer~J Sternberg, \emph{Habit and nonhabit systems for | |
unconscious and conscious behavior: Implications for multitasking}, Journal | |
of cognitive neuroscience \textbf{25} (2013), no.~2, 273--283. | |
\bibitem{lisman2005hippocampal} | |
John~E Lisman and Anthony~A Grace, \emph{The hippocampal-vta loop: controlling | |
the entry of information into long-term memory}, Neuron \textbf{46} (2005), | |
no.~5, 703--713. | |
\bibitem{lisman2001storage} | |
John~E Lisman and Nonna~A Otmakhova, \emph{Storage, recall, and novelty | |
detection of sequences by the hippocampus: elaborating on the socratic model | |
to account for normal and aberrant effects of dopamine}, Hippocampus | |
\textbf{11} (2001), no.~5, 551--568. | |
\bibitem{loewenberg2003mathematical} | |
Deborah Loewenberg et~al., \emph{Mathematical proficiency for all students: | |
Toward a strategic research and development program in mathematics | |
education}, Rand Corporation, 2003. | |
\bibitem{luck2014potentiation} | |
David Luck, Marie-Eve Leclerc, and Martin Lepage, \emph{The potentiation of | |
associative memory by emotions: An event-related fmri study}, Advances in | |
Neuroscience \textbf{2014} (2014). | |
\bibitem{lustenberger2012triangular} | |
Caroline Lustenberger, Angelina Maric, Roland D{\"u}rr, Peter Achermann, and | |
Reto Huber, \emph{Triangular relationship between sleep spindle activity, | |
general cognitive ability and the efficiency of declarative learning}, | |
(2012). | |
\bibitem{lutzer1988comprehension} | |
Victoria~D Lutzer, \emph{Comprehension of proverbs by average children and | |
children with learning disorders}, Journal of learning disabilities | |
\textbf{21} (1988), no.~2, 104--108. | |
\bibitem{maass2015does} | |
Asja Maass, Klara~Maria Kl{\"o}pper, Friederike Michel, and Arnold Lohaus, | |
\emph{Does media use have a short-term impact on cognitive performance?}, | |
Journal of Media Psychology (2015). | |
\bibitem{maddox2014directing} | |
Ross~K Maddox, Dean~A Pospisil, G~Christopher Stecker, and Adrian~KC Lee, | |
\emph{Directing eye gaze enhances auditory spatial cue discrimination}, | |
Current Biology \textbf{24} (2014), no.~7, 748--752. | |
\bibitem{Mains01072015} | |
Tyler~E Mains, Joseph Cofrancesco, Stephen~M Milner, Nina~G Shah, and Harry | |
Goldberg, \emph{Do questions help? the impact of audience response systems on | |
medical student learning: a randomised controlled trial}, Postgraduate | |
Medical Journal \textbf{91} (2015), no.~1077, 361--367. | |
\bibitem{maquet2000experience} | |
Pierre Maquet, Steven Laureys, Philippe Peigneux, Sonia Fuchs, Christophe | |
Petiau, Christophe Phillips, Joel Aerts, Guy Del~Fiore, Christian Degueldre, | |
Thierry Meulemans, et~al., \emph{Experience-dependent changes in cerebral | |
activation during human rem sleep}, Nature neuroscience \textbf{3} (2000), | |
no.~8, 831--836. | |
\bibitem{marshall2007contribution} | |
Lisa Marshall and Jan Born, \emph{The contribution of sleep to | |
hippocampus-dependent memory consolidation}, Trends in cognitive sciences | |
\textbf{11} (2007), no.~10, 442--450. | |
\bibitem{martin2015grapes} | |
Alex Martin, \emph{Grapes—grounding representations in action, perception, | |
and emotion systems: How object properties and categories are represented in | |
the human brain}, Psychonomic bulletin \& review (2015), 1--12. | |
\bibitem{martin2000synaptic} | |
SJ~Martin, PD~Grimwood, and RGM Morris, \emph{Synaptic plasticity and memory: | |
an evaluation of the hypothesis}, Annual review of neuroscience \textbf{23} | |
(2000), no.~1, 649--711. | |
\bibitem{marton1981phenomenography} | |
Ference Marton, \emph{Phenomenography—describing conceptions of the world | |
around us}, Instructional science \textbf{10} (1981), no.~2, 177--200. | |
\bibitem{marton1997learning} | |
Ference Marton and Shirley~A Booth, \emph{Learning and awareness}, Routledge, | |
1997. | |
\bibitem{marton2005unit} | |
Ference Marton and Wing~Yan Pong, \emph{On the unit of description in | |
phenomenography}, Higher Education Rresearch \& Development \textbf{24} | |
(2005), no.~4, 335--348. | |
\bibitem{mason1989mathematical} | |
John Mason, \emph{Mathematical abstraction as the result of a delicate shift of | |
attention}, For the learning of mathematics (1989), 2--8. | |
\bibitem{masterman1997frontal} | |
Donna~L Masterman and Jeffrey~L Cummings, \emph{Frontal-subcortical circuits: | |
the anatomic basis of executive, social and motivated behaviors}, Journal of | |
Psychopharmacology \textbf{11} (1997), no.~2, 107--114. | |
\bibitem{Mattuck} | |
Arthur Mattuck, \emph{Introduction to analysis}, Prentice Hall, 1999. | |
\bibitem{mcleod1992research} | |
Douglas~B McLeod, \emph{Research on affect in mathematics education: A | |
reconceptualization}, Handbook of research on mathematics teaching and | |
learning (1992), 575--596. | |
\bibitem{meel1998honors} | |
DAVID~E Meel, \emph{Honors students’ calculus understandings: Comparing | |
calculus\&mathematica and traditional calculus students}, CBMS Issues in | |
Mathematics Education \textbf{7} (1998), 163--215. | |
\bibitem{melby2013working} | |
Monica Melby-Lerv{\aa}g and Charles Hulme, \emph{Is working memory training | |
effective? a meta-analytic review.}, Developmental psychology \textbf{49} | |
(2013), no.~2, 270. | |
\bibitem{mercer2015stress} | |
Nicole Mercer, \emph{Stress relieving video games: Creating a game for the | |
purpose of stress relief and analyzing its effectiveness}, (2015). | |
\bibitem{Merriam2002} | |
Sharan~B. Merriam, \emph{Qualitative research in practice}, Jossey-Bass, 2002. | |
\bibitem{Merriam2009} | |
\bysame, \emph{Qualitative research a guide to design and implementation}, | |
Jossey-Bass, 2009. | |
\bibitem{Mihov2010442} | |
K.M. Mihov, M.~Denzler, and J.~Förster, \emph{Hemispheric specialization and | |
creative thinking: A meta-analytic review of lateralization of creativity}, | |
Brain and Cognition \textbf{72} (2010), no.~3, 442--448, cited By 37. | |
\bibitem{milner1978theory} | |
Robin Milner, \emph{A theory of type polymorphism in programming}, Journal of | |
computer and system sciences \textbf{17} (1978), no.~3, 348--375. | |
\bibitem{Miron-Spektor20111065} | |
E.~Miron-Spektor, D.~Efrat-Treister, A.~Rafaeli, and O.~Schwarz-Cohen, | |
\emph{Others' anger makes people work harder not smarter: The effect of | |
observing anger and sarcasm on creative and analytic thinking}, Journal of | |
Applied Psychology \textbf{96} (2011), no.~5, 1065--1075, cited By 9. | |
\bibitem{moore1994making} | |
Robert~C Moore, \emph{Making the transition to formal proof}, Educational | |
Studies in Mathematics \textbf{27} (1994), no.~3, 249--266. | |
\bibitem{mormann2014visual} | |
Florian Mormann, Matias~J Ison, Rodrigo~Quian Quiroga, Christof Koch, Itzhak | |
Fried, and Gabriel Kreiman, \emph{Visual cognitive adventures of single | |
neurons in the human medial temporal lobe}, Single Neuron Studies of the | |
Human Brain: Probing Cognition (2014), 121. | |
\bibitem{mulder1997short} | |
AB~Mulder, MPM Arts, and FH~Silva, \emph{Short-and long-term plasticity of the | |
hippocampus to nucleus accumbens and prefrontal cortex pathways in the rat, | |
in vivo}, European Journal of Neuroscience \textbf{9} (1997), no.~8, | |
1603--1611. | |
\bibitem{murayama2014consolidation} | |
Kou Murayama and Shinji Kitagami, \emph{Consolidation power of extrinsic | |
rewards: Reward cues enhance long-term memory for irrelevant past events.}, | |
Journal of Experimental Psychology: General \textbf{143} (2014), no.~1, 15. | |
\bibitem{nelson1993proofs} | |
Roger~B Nelson, \emph{Proofs without words}, Mathematical Association of | |
America \textbf{84} (1993), 90. | |
\bibitem{nemirovskymonk} | |
R~Nemirovsky, \emph{Monk, s.(2000):—if you look at it the other way…“an | |
exploration into the nature of symbolizing}, Symbolizing and Communicating in | |
Mathematics Classrooms. Hillsdale NJ: Lawrence Erlbaum Associates. | |
\bibitem{nishida2009rem} | |
Masaki Nishida, Jori Pearsall, Randy~L Buckner, and Matthew~P Walker, \emph{Rem | |
sleep, prefrontal theta, and the consolidation of human emotional memory}, | |
Cerebral Cortex \textbf{19} (2009), no.~5, 1158--1166. | |
\bibitem{ojemann2014human} | |
George Ojemann, \emph{Human lateral temporal cortical single neuron activity | |
during language, recent memory, and learning}, Single Neuron Studies of the | |
Human Brain: Probing Cognition (2014), 247. | |
\bibitem{or2004cognitive} | |
Rachel Or-Bach and Ilana Lavy, \emph{Cognitive activities of abstraction in | |
object orientation: an empirical study}, ACM SIGCSE Bulletin \textbf{36} | |
(2004), no.~2, 82--86. | |
\bibitem{ouchi2013reduced} | |
Yasuo Ouchi, Yuya Banno, Yuko Shimizu, Shouta Ando, Hitoki Hasegawa, Koichi | |
Adachi, and Takashi Iwamoto, \emph{Reduced adult hippocampal neurogenesis and | |
working memory deficits in the dgcr8-deficient mouse model of 22q11. 2 | |
deletion-associated schizophrenia can be rescued by igf2}, The Journal of | |
Neuroscience \textbf{33} (2013), no.~22, 9408--9419. | |
\bibitem{owen2005n} | |
Adrian~M Owen, Kathryn~M McMillan, Angela~R Laird, and Ed~Bullmore, | |
\emph{N-back working memory paradigm: A meta-analysis of normative functional | |
neuroimaging studies}, Human brain mapping \textbf{25} (2005), no.~1, 46--59. | |
\bibitem{paller2002observing} | |
Ken~A Paller and Anthony~D Wagner, \emph{Observing the transformation of | |
experience into memory}, Trends in cognitive sciences \textbf{6} (2002), | |
no.~2, 93--102. | |
\bibitem{parker1998restorff} | |
Amanda Parker, Edward Wilding, and Colin Akerman, \emph{The von restorff effect | |
in visual object recognition memory in humans and monkeys: The role of | |
frontal/perirhinal interaction}, Journal of Cognitive Neuroscience | |
\textbf{10} (1998), no.~6, 691--703. | |
\bibitem{patel2014human} | |
Shaun~R Patel, Demetrio Sierra-Mercado, Clarissa Martinez-Rubio, and Emad~N | |
Eskandar, \emph{Human single neuron reward processing in the basal ganglia | |
and anterior cingulate}, Single Neuron Studies of the Human Brain: Probing | |
Cognition (2014), 205. | |
\bibitem{paz2013physiological} | |
Rony Paz and Denis Pare, \emph{Physiological basis for emotional modulation of | |
memory circuits by the amygdala}, Current opinion in neurobiology \textbf{23} | |
(2013), no.~3, 381--386. | |
\bibitem{pedreira2010responses} | |
Carlos Pedreira, Florian Mormann, Alexander Kraskov, Moran Cerf, Itzhak Fried, | |
Christof Koch, and Rodrigo~Quian Quiroga, \emph{Responses of human medial | |
temporal lobe neurons are modulated by stimulus repetition}, Journal of | |
neurophysiology \textbf{103} (2010), no.~1, 97--107. | |
\bibitem{polyn2008memory} | |
Sean~M Polyn and Michael~J Kahana, \emph{Memory search and the neural | |
representation of context}, Trends in cognitive sciences \textbf{12} (2008), | |
no.~1, 24--30. | |
\bibitem{prince2004does} | |
Michael Prince, \emph{Does active learning work? a review of the research}, | |
JOURNAL OF ENGINEERING EDUCATION-WASHINGTON- \textbf{93} (2004), 223--232. | |
\bibitem{quiroga2012concept} | |
Rodrigo~Quian Quiroga, \emph{Concept cells: the building blocks of declarative | |
memory functions}, Nature Reviews Neuroscience \textbf{13} (2012), no.~8, | |
587--597. | |
\bibitem{rasslan2002definitions} | |
Shaker Rasslan and David Tall, \emph{Definitions and images for the definite | |
integral concept}, PME CONFERENCE, vol.~4, 2002, pp.~4--089. | |
\bibitem{rattermann1998more} | |
Mary~Jo Rattermann and Dedre Gentner, \emph{More evidence for a relational | |
shift in the development of analogy: Children's performance on a | |
causal-mapping task}, Cognitive Development \textbf{13} (1998), no.~4, | |
453--478. | |
\bibitem{reilly2014examination} | |
Christine~F Reilly and Emmett Tomai, \emph{An examination of mathematics | |
preparation for and progress through three introductory computer science | |
courses}, Frontiers in Education Conference (FIE), 2014 IEEE, IEEE, 2014, | |
pp.~1--9. | |
\bibitem{ribeiro2002induction} | |
Sidarta Ribeiro, Claudio~V Mello, Tarciso Velho, Timothy~J Gardner, Erich~D | |
Jarvis, and Constantine Pavlides, \emph{Induction of hippocampal long-term | |
potentiation during waking leads to increased extrahippocampal zif-268 | |
expression during ensuing rapid-eye-movement sleep}, The Journal of | |
Neuroscience \textbf{22} (2002), no.~24, 10914--10923. | |
\bibitem{ribeiro2007novel} | |
Sidarta Ribeiro, Xinwu Shi, Matthew Engelhard, Yi~Zhou, Hao Zhang, Damien | |
Gervasoni, Shi-Chieh Lin, Kazuhiro Wada, Nelson~AM Lemos, and Miguel~AL | |
Nicolelis, \emph{Novel experience induces persistent sleep-dependent | |
plasticity in the cortex but not in the hippocampus}, Frontiers in | |
Neuroscience \textbf{1} (2007), no.~1, 43. | |
\bibitem{robertson2004awareness} | |
Edwin~M Robertson, Alvaro Pascual-Leone, and Daniel~Z Press, \emph{Awareness | |
modifies the skill-learning benefits of sleep}, Current Biology \textbf{14} | |
(2004), no.~3, 208--212. | |
\bibitem{rosen2003} | |
Kenneth~H Rosen, \emph{Discrete mathematics and its applications, 5th ed.}, | |
McGraw Hill, 2003. | |
\bibitem{rosken2007integrating} | |
Bettina R{\"o}sken and Katrin Rolka, \emph{Integrating intuition: The role of | |
concept image and concept definition for students' learning of integral | |
calculus}, The Montana Mathematics Enthusiast \textbf{3} (2007), 181--204. | |
\bibitem{rota1997phenomenology} | |
Gian-Carlo Rota, \emph{The phenomenology of mathematical beauty}, Synthese | |
\textbf{111} (1997), no.~2, 171--182. | |
\bibitem{rottschy2012modelling} | |
Claudia Rottschy, Robert Langner, Imis Dogan, Kathrin Reetz, Angela~R Laird, | |
J{\"o}rg~B Schulz, Peter~T Fox, and Simon~B Eickhoff, \emph{Modelling neural | |
correlates of working memory: a coordinate-based meta-analysis}, Neuroimage | |
\textbf{60} (2012), no.~1, 830--846. | |
\bibitem{roux2014working} | |
Fr{\'e}d{\'e}ric Roux and Peter~J Uhlhaas, \emph{Working memory and neural | |
oscillations: alpha--gamma versus theta--gamma codes for distinct wm | |
information?}, Trends in cognitive sciences \textbf{18} (2014), no.~1, | |
16--25. | |
\bibitem{russoniello2009effectiveness} | |
Carmen~V Russoniello, Kevin O’Brien, and Jennifer~M Parks, \emph{The | |
effectiveness of casual video games in improving mood and decreasing stress}, | |
Journal of Cyber Therapy and Rehabilitation \textbf{2} (2009), no.~1, 53--66. | |
\bibitem{rutishauser2014next} | |
Ueli Rutishauser, Itzhak Fried, Moran Cerf, and Gabriel Kreiman, \emph{The next | |
ten years and beyond}, Single Neuron Studies of the Human Brain: Probing | |
Cognition (2014), 347. | |
\bibitem{rutishauser2014single} | |
Ueli Rutishauser, Erin~M Schuman, and Adam~N Mamelak, \emph{Single neuron | |
correlates of declarative memory formation and retrieval in the human medial | |
temporal lobe}, Single Neuron Studies of the Human Brain: Probing Cognition | |
(2014), 101. | |
\bibitem{sali2014role} | |
Anthony~W Sali, Brian~A Anderson, and Steven Yantis, \emph{The role of reward | |
prediction in the control of attention.}, Journal of experimental psychology: | |
human perception and performance \textbf{40} (2014), no.~4, 1654. | |
\bibitem{salimpoor2015predictions} | |
Valorie~N Salimpoor, David~H Zald, Robert~J Zatorre, Alain Dagher, and | |
Anthony~Randal McIntosh, \emph{Predictions and the brain: How musical sounds | |
become rewarding}, Trends in cognitive sciences \textbf{19} (2015), no.~2, | |
86--91. | |
\bibitem{sandrini2015modulating} | |
Marco Sandrini, Leonardo~G Cohen, and Nitzan Censor, \emph{Modulating | |
reconsolidation: a link to causal systems-level dynamics of human memories}, | |
Trends in cognitive sciences \textbf{19} (2015), no.~8, 475--482. | |
\bibitem{santos1998instructional} | |
Manuel Santos-Trigo, \emph{Instructional qualities of a successful mathematical | |
problem-solving class∗}, International Journal of Mathematical Education in | |
Science and Technology \textbf{29} (1998), no.~5, 631--646. | |
\bibitem{sarter2005unraveling} | |
Martin Sarter, Michael~E Hasselmo, John~P Bruno, and Ben Givens, | |
\emph{Unraveling the attentional functions of cortical cholinergic inputs: | |
interactions between signal-driven and cognitive modulation of signal | |
detection}, Brain Research Reviews \textbf{48} (2005), no.~1, 98--111. | |
\bibitem{schacter1998cognitive} | |
Daniel~L Schacter, Kenneth~A Norman, and Wilma Koutstaal, \emph{The cognitive | |
neuroscience of constructive memory}, Annual review of psychology \textbf{49} | |
(1998), no.~1, 289--318. | |
\bibitem{schendan2003fmri} | |
Haline~E Schendan, Meghan~M Searl, Rebecca~J Melrose, and Chantal~E Stern, | |
\emph{An fmri study of the role of the medial temporal lobe in implicit and | |
explicit sequence learning}, Neuron \textbf{37} (2003), no.~6, 1013--1025. | |
\bibitem{schmalz2015getting} | |
Xenia Schmalz, Eva Marinus, Max Coltheart, and Anne Castles, \emph{Getting to | |
the bottom of orthographic depth}, Psychonomic bulletin \& review (2015), | |
1--16. | |
\bibitem{schoenfeld1998reflections} | |
Alan~H Schoenfeld, \emph{Reflections on a course in mathematical problem | |
solving}, Research in collegiate mathematics education III (1998), 81--113. | |
\bibitem{schoenfeld1993learning} | |
Alan~H Schoenfeld, John~P Smith, and Abraham Arcavi, \emph{Learning: The | |
microgenetic analysis of one student’s evolving understanding of a complex | |
subject matter domain}, Advances in instructional psychology \textbf{4} | |
(1993), 55--175. | |
\bibitem{schultz2000neuronal} | |
Wolfram Schultz and Anthony Dickinson, \emph{Neuronal coding of prediction | |
errors}, Annual review of neuroscience \textbf{23} (2000), no.~1, 473--500. | |
\bibitem{schwabe2014reconsolidation} | |
Lars Schwabe, Karim Nader, and Jens~C Pruessner, \emph{Reconsolidation of human | |
memory: brain mechanisms and clinical relevance}, Biological psychiatry | |
\textbf{76} (2014), no.~4, 274--280. | |
\bibitem{sederberg2003theta} | |
Per~B Sederberg, Michael~J Kahana, Marc~W Howard, Elizabeth~J Donner, and | |
Joseph~R Madsen, \emph{Theta and gamma oscillations during encoding predict | |
subsequent recall}, The Journal of Neuroscience \textbf{23} (2003), no.~34, | |
10809--10814. | |
\bibitem{sipser2012introduction} | |
Michael Sipser, \emph{Introduction to the theory of computation}, Cengage | |
Learning, 2012. | |
\bibitem{smith2013categorizing} | |
Th{\'e}r{\`e}se Smith and Robert McCartney, \emph{Categorizing the school | |
experience of entering computing students}, Journal of Computing Sciences in | |
Colleges \textbf{28} (2013), no.~3, 78--85. | |
\bibitem{smith2014computer} | |
\bysame, \emph{Computer science students' concepts of proof by induction}, | |
Proceedings of the 14th Koli Calling International Conference on Computing | |
Education Research, ACM, 2014, pp.~51--60. | |
\bibitem{smith2013mathematization} | |
Tim Smith and Robert McCartney, \emph{Mathematization in teaching pumping | |
lemmas}, Frontiers in Education Conference, 2013 IEEE, IEEE, 2013, | |
pp.~1671--1677. | |
\bibitem{sohn2004behavioral} | |
Myeong-Ho Sohn, Adam Goode, Kenneth~R Koedinger, V~Andrew Stenger, Kate | |
Fissell, Cameron~S Carter, and John~R Anderson, \emph{Behavioral equivalence, | |
but not neural equivalence—neural evidence of alternative strategies in | |
mathematical thinking}, Nature neuroscience \textbf{7} (2004), no.~11, | |
1193--1194. | |
\bibitem{squire1987memory} | |
Larry~R Squire, \emph{Memory and brain}, New York (1987). | |
\bibitem{squire2015conscious} | |
Larry~R Squire and Adam~JO Dede, \emph{Conscious and unconscious memory | |
systems}, Cold Spring Harbor perspectives in biology \textbf{7} (2015), | |
no.~3, a021667. | |
\bibitem{squire2000memory} | |
Larry~R Squire and Eric~R Kandel, \emph{Memory: From mind to molecules}, | |
Macmillan, 2000. | |
\bibitem{strauss1990basics} | |
Anselm~Leonard Strauss, Juliet~M Corbin, et~al., \emph{Basics of qualitative | |
research}, vol.~15, Sage Newbury Park, CA, 1990. | |
\bibitem{suhonen2007applications} | |
Jarkko Suhonen, Janet Davies, Errol Thompson, et~al., \emph{Applications of | |
variation theory in computing education}, Proc. of the Seventh Baltic Sea | |
Conference on Computing Education Research-Volume 88, Australian Computer | |
Society, Inc., 2007, pp.~217--220. | |
\bibitem{suthana2012memory} | |
Nanthia Suthana, Zulfi Haneef, John Stern, Roy Mukamel, Eric Behnke, Barbara | |
Knowlton, and Itzhak Fried, \emph{Memory enhancement and deep-brain | |
stimulation of the entorhinal area}, New England Journal of Medicine | |
\textbf{366} (2012), no.~6, 502--510. | |
\bibitem{svensson1997theoretical} | |
Lennart Svensson, \emph{Theoretical foundations of phenomenography}, Higher | |
Education Research \& Development \textbf{16} (1997), no.~2, 159--171. | |
\bibitem{takeuchi2010training} | |
Hikaru Takeuchi, Atsushi Sekiguchi, Yasuyuki Taki, Satoru Yokoyama, Yukihito | |
Yomogida, Nozomi Komuro, Tohru Yamanouchi, Shozo Suzuki, and Ryuta Kawashima, | |
\emph{Training of working memory impacts structural connectivity}, The | |
Journal of neuroscience \textbf{30} (2010), no.~9, 3297--3303. | |
\bibitem{talamini2008sleep} | |
Lucia~M Talamini, Ingrid~LC Nieuwenhuis, Atsuko Takashima, and Ole Jensen, | |
\emph{Sleep directly following learning benefits consolidation of spatial | |
associative memory}, Learning \& Memory \textbf{15} (2008), no.~4, 233--237. | |
\bibitem{tall2008transition} | |
David Tall, \emph{The transition to formal thinking in mathematics}, | |
Mathematics Education Research Journal \textbf{20} (2008), no.~2, 5--24. | |
\bibitem{tall2001symbols} | |
David Tall, Eddie Gray, Maselan~Bin Ali, Lillie Crowley, Phil DeMarois, | |
Mercedes McGowen, Demetra Pitta, Marcia Pinto, Michael Thomas, and Yudariah | |
Yusof, \emph{Symbols and the bifurcation between procedural and conceptual | |
thinking}, Canadian Journal of Math, Science \& Technology Education | |
\textbf{1} (2001), no.~1, 81--104. | |
\bibitem{tayler2013reactivation} | |
Kaycie~K Tayler, Kazumasa~Z Tanaka, Leon~G Reijmers, and Brian~J Wiltgen, | |
\emph{Reactivation of neural ensembles during the retrieval of recent and | |
remote memory}, Current Biology \textbf{23} (2013), no.~2, 99--106. | |
\bibitem{thagard2011aha} | |
Paul Thagard and Terrence~C Stewart, \emph{The aha! experience: Creativity | |
through emergent binding in neural networks}, Cognitive science \textbf{35} | |
(2011), no.~1, 1--33. | |
\bibitem{toni2008neurons} | |
Nicolas Toni, Diego~A Laplagne, Chunmei Zhao, Gabriela Lombardi, Charles~E | |
Ribak, Fred~H Gage, and Alejandro~F Schinder, \emph{Neurons born in the adult | |
dentate gyrus form functional synapses with target cells}, Nature | |
neuroscience \textbf{11} (2008), no.~8, 901--907. | |
\bibitem{tononi2014sleep} | |
Giulio Tononi and Chiara Cirelli, \emph{Sleep and the price of plasticity: from | |
synaptic and cellular homeostasis to memory consolidation and integration}, | |
Neuron \textbf{81} (2014), no.~1, 12--34. | |
\bibitem{trouche2009recruitment} | |
St{\'e}phanie Trouche, Bruno Bontempi, Pascal Roullet, and Claire Rampon, | |
\emph{Recruitment of adult-generated neurons into functional hippocampal | |
networks contributes to updating and strengthening of spatial memory}, | |
Proceedings of the National Academy of Sciences \textbf{106} (2009), no.~14, | |
5919--5924. | |
\bibitem{valiant2000circuits} | |
Leslie~G Valiant, \emph{Circuits of the mind}, Oxford University Press, 2000. | |
\bibitem{van1992jasper} | |
JP~Van~Haneghan, Linda Barron, MF~Young, SM~Williams, NJ~Vye, and JD~Bransford, | |
\emph{The jasper series: An experiment with new ways to enhance mathematical | |
thinking}, Enhancing thinking skills in the sciences and mathematics (1992), | |
15--38. | |
\bibitem{van2000appropriation} | |
Bert van Oers, \emph{The appropriation of mathematical symbols: A | |
psychosemiotic approach to mathematics learning}, Symbolizing and | |
communicating in mathematics classrooms: Perspectives on discourse, tools, | |
and instructional design (2000), 133--176. | |
\bibitem{van2011slow} | |
EJ~Van~Someren, \emph{Slow brain oscillations of sleep, resting state and | |
vigilance}, vol. 193, Elsevier, 2011. | |
\bibitem{viete2006analytic} | |
Fran{\c{c}}ois Vi{\`e}te and T~Richard Witmer, \emph{The analytic art}, Courier | |
Corporation, 2006. | |
\bibitem{waelti2001dopamine} | |
Pascale Waelti, Anthony Dickinson, and Wolfram Schultz, \emph{Dopamine | |
responses comply with basic assumptions of formal learning theory}, Nature | |
\textbf{412} (2001), no.~6842, 43--48. | |
\bibitem{wagner2008memory} | |
Ullrich Wagner and Jan Born, \emph{Memory consolidation during sleep: | |
Interactive effects of sleep stages and hpa regulation: Review}, Stress | |
\textbf{11} (2008), no.~1, 28--41. | |
\bibitem{wagner2004sleep} | |
Ullrich Wagner, Steffen Gais, Hilde Haider, Rolf Verleger, and Jan Born, | |
\emph{Sleep inspires insight}, Nature \textbf{427} (2004), no.~6972, | |
352--355. | |
\bibitem{wagner2006brief} | |
Ullrich Wagner, Manfred Hallschmid, Bj{\"o}rn Rasch, and Jan Born, \emph{Brief | |
sleep after learning keeps emotional memories alive for years}, Biological | |
psychiatry \textbf{60} (2006), no.~7, 788--790. | |
\bibitem{waisman2014brain} | |
Ilana Waisman, Mark Leikin, Shelley Shaul, and Roza Leikin, \emph{Brain | |
activity associated with translation between graphical and symbolic | |
representations of functions in generally gifted and excelling in mathematics | |
adolescents}, International Journal of Science and Mathematics Education | |
\textbf{12} (2014), no.~3, 669--696. | |
\bibitem{walker2003dissociable} | |
Matthew~P Walker, Tiffany Brakefield, J~Allan Hobson, and Robert Stickgold, | |
\emph{Dissociable stages of human memory consolidation and reconsolidation}, | |
Nature \textbf{425} (2003), no.~6958, 616--620. | |
\bibitem{walker2014sleep} | |
Matthew~P Walker and Robert Stickgold, \emph{Sleep, memory and plasticity}, | |
Neuroscience and Psychoanalysis \textbf{1} (2014), 93. | |
\bibitem{wallace1965review} | |
William~P Wallace, \emph{Review of the historical, empirical, and theoretical | |
status of the von restorff phenomenon.}, Psychological bulletin \textbf{63} | |
(1965), no.~6, 410. | |
\bibitem{ward1994structured} | |
Thomas~B Ward, \emph{Structured imagination: The role of category structure in | |
exemplar generation}, Cognitive psychology \textbf{27} (1994), no.~1, 1--40. | |
\bibitem{weber2004traditional} | |
Keith Weber, \emph{Traditional instruction in advanced mathematics courses: A | |
case study of one professor's lectures and proofs in an introductory real | |
analysis course}, The Journal of Mathematical Behavior \textbf{23} (2004), | |
no.~2, 115--133. | |
\bibitem{whitehead1959aims} | |
Alfred~North Whitehead, \emph{The aims of education}, Daedalus \textbf{88} | |
(1959), no.~1, 192--205. | |
\bibitem{wittgenstein1989wittgenstein} | |
Ludwig Wittgenstein, RG~Bosanquet, N~Malcolm, R~Hrees, Y~Symthies, and Cora | |
Diamond, \emph{Wittgenstein's lectures on the foundations of mathematics, | |
cambridge, 1939}, Cornell University Press, 1976. | |
\bibitem{wittmann2007anticipation} | |
Bianca~C Wittmann, Nico Bunzeck, Raymond~J Dolan, and Emrah D{\"u}zel, | |
\emph{Anticipation of novelty recruits reward system and hippocampus while | |
promoting recollection}, Neuroimage \textbf{38} (2007), no.~1, 194--202. | |
\bibitem{wittmann2011behavioral} | |
Bianca~C Wittmann, Raymond~J Dolan, and Emrah D{\"u}zel, \emph{Behavioral | |
specifications of reward-associated long-term memory enhancement in humans}, | |
Learning \& Memory \textbf{18} (2011), no.~5, 296--300. | |
\bibitem{wittmann2005reward} | |
Bianca~C Wittmann, Bj{\"o}rn~H Schott, Sebastian Guderian, Julietta~U Frey, | |
Hans-Jochen Heinze, and Emrah D{\"u}zel, \emph{Reward-related fmri activation | |
of dopaminergic midbrain is associated with enhanced hippocampus-dependent | |
long-term memory formation}, Neuron \textbf{45} (2005), no.~3, 459--467. | |
\bibitem{yates1990theories} | |
Timothy Yates, \emph{Theories of cognitive development}, Child and adolescent | |
psychiatry. Baltimore (MD): Williams and Wilkins (1990), 109--29. | |
\bibitem{zacks2008neuroimaging} | |
Jeffrey~M Zacks, \emph{Neuroimaging studies of mental rotation: a meta-analysis | |
and review}, Cognitive Neuroscience, Journal of \textbf{20} (2008), no.~1, | |
1--19. | |
\bibitem{zamarian2009neuroscience} | |
L~Zamarian, A~Ischebeck, and M~Delazer, \emph{Neuroscience of learning | |
arithmetic—evidence from brain imaging studies}, Neuroscience \& | |
Biobehavioral Reviews \textbf{33} (2009), no.~6, 909--925. | |
\bibitem{zysset2003functional} | |
Stefan Zysset, Oswald Huber, Andrea Samson, Evelyn~C Ferstl, and D~Yves von | |
Cramon, \emph{Functional specialization within the anterior medial prefrontal | |
cortex: a functional magnetic resonance imaging study with human subjects}, | |
Neuroscience letters \textbf{335} (2003), no.~3, 183--186. | |
\end{thebibliography} |