DEVELOPING SPATIAL THINKING AND LOGICAL REASONING THROUGH MÖBIUS STRIP MODELING IN PRESCHOOL
Keywords:
preschool education; mathematical modeling; Möbius strip; inquiry-based learning; problem situation; spatial reasoning; visual thinking; logical reasoning; didactic games; experimentation; observation; reflectionAbstract
The paper presents a practice-oriented approach to introducing senior preschool children (6–7 years) to the Möbius strip through mathematical modeling and guided experimentation. Möbius strip activities are described as a low-cost, high-impact pedagogical tool that strengthens children’s spatial representations, visual–figurative thinking, attention, and logical reasoning. The proposed methodology is built around problem situations, inquiry-based tasks, and play-based experiments that help children move from direct manipulation to mediated representations (schemes, conditional signs, and modeling actions). The article offers a step-by-step instructional sequence and a set of exploratory tasks that can be used in the educational area “Cognition,” as well as in extracurricular mathematics clubs. The approach emphasizes children’s autonomy, curiosity, and the development of learning motivation through discovery and reflection.
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References
Pickover, Clifford A.. The Möbius Strip: Dr. August Möbius’s Marvelous Band in Mathematics, Games, Literature, Art, Technology, and Cosmology. — New York: Basic Books, 2006.
Gardner, Martin. Mathematical Puzzles and Diversions. — New York: Simon and Schuster, 1959.
Weeks, Jeffrey R.. The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds. — New York: Marcel Dekker, 1985.
Piaget, Jean. The Origins of Intelligence in Children. — New York: International Universities Press, 1952.
Vygotsky, Lev S.. Мышление и речь. — М.: Лабиринт, 1999.
Elkonin, Daniil B.. Психология игры. — М.: Педагогика, 1978.
Galperin, Pyotr Ya.. Введение в психологию. — М.: Изд-во МГУ, 1976.
Wenger, Leonid A. (ред.). Развитие познавательных способностей в процессе дошкольного воспитания: коллективная монография. — М.: Педагогика, 1986. — 224 с.
Poddiakov, Alexander N.. Исследовательское поведение: стратегии познания, помощь, противодействие, конфликт. — М.: ПЕР СЭ-Пресс, 2006.
Leushina, Antonina M.. Формирование элементарных математических представлений у детей дошкольного возраста. — М.: Просвещение, 1974. — 368 с.
Формирование элементарных математических представлений у дошкольников / под ред. А. А. Столяра. — М.: Просвещение, 1988.
Beloshistaya, Anna V.. Формирование и развитие математических способностей дошкольников: вопросы теории и практики: курс лекций. — М.: ВЛАДОС, 2003. — 400 с.
Mikhaylova, Zinaida A.. Игровые занимательные задачи для дошкольников. — СПб.: Детство-Пресс, 1990.
Mikhaylova, Zinaida A., Бабаева Т. И. Развитие познавательных и исследовательских умений у старших дошкольников: методическое пособие для педагогов. — СПб.: Детство-Пресс, 2012.
Shcherbakova, E. I.. Методика обучения математике в детском саду. — М., 2000.
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