{"title":"数学概念遗忘与记忆的数学模型","authors":"E. Bonyah, Ernest Larbi, Raphael Owusu","doi":"10.56855/ijmme.v1i1.212","DOIUrl":null,"url":null,"abstract":"\n \n \n \nMemorization and forgetfulness in Mathematics Education have been major issues in most developing countries, including Ghana. This work explored forgetfulness and memorization in the context of the fractional calculus domain using the Mittag-Leffler function. The Sumudu transform was employed to obtain a special solution. The existence and uniqueness of solutions was established using the concept of the fixed-point theory. It is established that fractional order plays a major role in memorization and forgetfulness of mathematical concepts. It is concluded that factors that enhance the teaching and learning of mathematical concepts should be encouraged. \n \n \n \n","PeriodicalId":151126,"journal":{"name":"International Journal of Mathematics and Mathematics Education","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mathematical Modeling of Forgetfulness and Memorization of Mathematical Concepts\",\"authors\":\"E. Bonyah, Ernest Larbi, Raphael Owusu\",\"doi\":\"10.56855/ijmme.v1i1.212\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n \\n \\n \\nMemorization and forgetfulness in Mathematics Education have been major issues in most developing countries, including Ghana. This work explored forgetfulness and memorization in the context of the fractional calculus domain using the Mittag-Leffler function. The Sumudu transform was employed to obtain a special solution. The existence and uniqueness of solutions was established using the concept of the fixed-point theory. It is established that fractional order plays a major role in memorization and forgetfulness of mathematical concepts. It is concluded that factors that enhance the teaching and learning of mathematical concepts should be encouraged. \\n \\n \\n \\n\",\"PeriodicalId\":151126,\"journal\":{\"name\":\"International Journal of Mathematics and Mathematics Education\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematics and Mathematics Education\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56855/ijmme.v1i1.212\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematics and Mathematics Education","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56855/ijmme.v1i1.212","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical Modeling of Forgetfulness and Memorization of Mathematical Concepts
Memorization and forgetfulness in Mathematics Education have been major issues in most developing countries, including Ghana. This work explored forgetfulness and memorization in the context of the fractional calculus domain using the Mittag-Leffler function. The Sumudu transform was employed to obtain a special solution. The existence and uniqueness of solutions was established using the concept of the fixed-point theory. It is established that fractional order plays a major role in memorization and forgetfulness of mathematical concepts. It is concluded that factors that enhance the teaching and learning of mathematical concepts should be encouraged.