Анализ изменений в основных содержательных линиях при построении альтернативного курса математики, основанного на цифровых ресурсах.
Аннотация
В статье анализируются изменения в преподавании математики в школе, связанные с развитием цифровой образовательной среды. Теоретический анализ сопровож- дается обсуждением базовых примеров изменений по основным содержательным линиям курса, таким, как алгебраическая линия, теоретико-функциональная линия, линия уравнений и неравенств, геометрическая линия, стохастическая линия, линия дискретной математики и теоретической информатики. В процессе конструктивного анализа рассматриваются такие виды изменений, как: перенос акцента с операцион- ной деятельности на моделирование, что связывается с развитием “вычислительно- алгоритмического мышления” (computational thinking); использование цифровых репрезентаций математических понятий для формирования мысленных образов математических понятий и повышения внимания к оперированию мысленными образами; изучение материала на различных уровнях сложности посредством ис- пользования компьютерных моделей; изучение алгоритмов, которые используются в системах компьютерной математики; развитие горизонтальных связей как в методи- ческом аспекте через повышение роли интегративных сюжетов, соединяющих в себе различные разделы математики и информатики, так и в аспекте общей педагогики через конструирование общих информационных пространств для взаимодействия образовательных сообществ и расширения их участников.
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