Красочные карты в кодексах ацтеков

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Синтаксис и семантика карт-схем

Denis, M. (1997). The description of routes: A cognitive approach to the production of spatial discourse. Cahiers de Psychologie, 16, 409–458.

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Tversky, B., & Lee, P. U. (1999). Pictorial and verbal tools for conveying routes. In International Conference on Spatial Information Theory (pp. 51–64). Berlin, Germany: Springer, Berlin, Heidelberg.

Эмпирический поиск когнитивных принципов разработки карт

Agrawala, M., & Stolte, C. (2001, August). Rendering effective route maps: Improving usability through generalization. Proceedings of the 28th Annual Conference on Computer Graphics and Interactive Techniques, 241–249.

Tversky, B., Agrawala, M., Heiser, J., Lee, P., Hanrahan, P., Phan, D., Daniel, M.-P. (2006). Cognitive design principles for automated generation of visualizations. In G. L. Allen (Ed.), Applied spatial cognition: From research to cognitive technology (pp. 53–75). New York, NY: Psychology Press.

«Три П» (производство, предпочтение, производительность) при создании дизайна

Kessell, A., & Tversky, B. (2011). Visualizing space, time, and agents: Production, performance, and preference. Cognitive Processing, 12(1), 43–52.

Интерпретация кости Ишанго

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Pletser, V., & Huylebrouck, D. (2008, January). An interpretation of the Ishango rods. In Proceedings of the Conference Ishango, 22000 and 50 Years Later: The Cradle of Mathematics (pp. 139–170). Brussels, Belgium: Royal Flemish Academy of Belgium, KVAB.

Развитие понимания количества

Gelman, R., & Gallistel, C. R. (1986). The child’s understanding of number. Cambridge, MA: Harvard University Press.

Формальные системы обозначений – это схемы

Landy, D., & Goldstone, R. L. (2007). Formal notations are diagrams: Evidence from a production task. Memory & Cognition, 35(8), 2033–2040.

Люди используют пространство для решения математических задач; доказательства – это истории

Landy, D., & Goldstone, R. L. (2007). How abstract is symbolic thought? Journal of Experimental Psychology: Learning, Memory, and Cognition, 33(4), 720.

Восточная окружающая среда сложнее западной в глазах представителей как восточной, так и западной культур

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Китайские арифметические схемы оцениваются как более сложные по сравнению с американскими

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Zheng, F, (2015). Math visualizations across cultures: Comparing Chinese and American math images. (Unpublished master’s thesis). Columbia Teachers College, New York, NY.

Измерения и вычисления могут устранить некоторые искажения и ошибки

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Tversky, A., & Kahneman, D. (1974). Judgment under uncertainty: Heuristics and biases. Science, 185(4157), 1124–1131.

Tversky, A., & Kahneman, D. (1981). The framing of decisions and the psychology of choice. Science, 211(4481), 453–458.

Tversky, A., & Kahneman, D. (1983). Extensional versus intuitive reasoning: The conjunction fallacy in probability judgment. Psychological Review, 90(4), 293.

В геометрии древних слова служили лишь примечаниями к схемам, а не наоборот

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Пространственные мысленные модели

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Диаграммы Эйлера и рассуждения

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Построение силлогизма с использованием диаграмм

Barwise, J., & Etchemendy, J. (1994). Hyperproof: For Macintosh. Center for the Study of Language and Inf.

Giardino, V. (2017). Diagrammatic reasoning in mathematics. In L. Magnani & T. Bertolotti (Eds.), Springer handbook of model-based science (pp. 499–522). New York, NY: Springer.

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Shin, S. J. (1994). The logical status of diagrams. Cambridge, England: Cambridge University Press.

Stenning, K., & Lemon, O. (2001). Aligning logical and psychological perspectives on diagrammatic reasoning. Artificial Intelligence Review, 15(1–2), 29–62.