{"title":"多元表征对学生在微积分中诠释与表征技巧表现的影响","authors":"Niguse Arefaine, Kassa Michael, S. Assefa","doi":"10.22342/jpm.16.3.18291.351-372","DOIUrl":null,"url":null,"abstract":"This study investigated the effect of the multiple representations approaches on students’ representation interpretation in learning calculus. Pretest and posttest quasi-experimental design of non-equivalent groups was used. Three intact groups of size 53, 57, and 54 students from Jigjiga and Kebri-Dehar Universities in Ethiopia participated in this study. The groups included a GeoGebra-supported multiple representations approach (MRT) from Jigjiga University, a multiple representation approach (MR), and a conventional approach (CG), both from Kebri Dehar University. Representation interpretation problem pretest and posttest were administered compiled from pre and calculus contents, respectively. Students’ performance on representation interpretation problems was assessed using rubric scores, and their interpretation techniques were labeled as local versus global and syntactic versus semantic. Results revealed no statistically significant mean difference among the three groups on representation interpretation from the posttest that was determined by one-way ANOVA ((F(2.161) = 2.232, P = .111 , Partial eta = .03). More students in each group demonstrated local and semantic interpretation than global and syntactic interpretation. After the treatment, many students from each group shifted towards the local and semantic interpretation. It is recommended that the study need to replicate other calculus contents with different participants to generalize the results of the study.","PeriodicalId":31653,"journal":{"name":"Pythagoras Jurnal pendidikan Matematika","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Effect of Multiple Representations on Students’ Performance on Interpretations and Techniques of Representation in Calculus\",\"authors\":\"Niguse Arefaine, Kassa Michael, S. Assefa\",\"doi\":\"10.22342/jpm.16.3.18291.351-372\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This study investigated the effect of the multiple representations approaches on students’ representation interpretation in learning calculus. Pretest and posttest quasi-experimental design of non-equivalent groups was used. Three intact groups of size 53, 57, and 54 students from Jigjiga and Kebri-Dehar Universities in Ethiopia participated in this study. The groups included a GeoGebra-supported multiple representations approach (MRT) from Jigjiga University, a multiple representation approach (MR), and a conventional approach (CG), both from Kebri Dehar University. Representation interpretation problem pretest and posttest were administered compiled from pre and calculus contents, respectively. Students’ performance on representation interpretation problems was assessed using rubric scores, and their interpretation techniques were labeled as local versus global and syntactic versus semantic. Results revealed no statistically significant mean difference among the three groups on representation interpretation from the posttest that was determined by one-way ANOVA ((F(2.161) = 2.232, P = .111 , Partial eta = .03). More students in each group demonstrated local and semantic interpretation than global and syntactic interpretation. After the treatment, many students from each group shifted towards the local and semantic interpretation. It is recommended that the study need to replicate other calculus contents with different participants to generalize the results of the study.\",\"PeriodicalId\":31653,\"journal\":{\"name\":\"Pythagoras Jurnal pendidikan Matematika\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Pythagoras Jurnal pendidikan Matematika\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22342/jpm.16.3.18291.351-372\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pythagoras Jurnal pendidikan Matematika","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22342/jpm.16.3.18291.351-372","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
本研究探讨多元表征方法对学生微积分学习中表征解释的影响。非等效组采用前测和后测准实验设计。来自埃塞俄比亚吉吉加大学和凯布里-德哈大学的三组学生分别为53,57和54人,参加了这项研究。这些小组包括来自Jigjiga大学的geogebra支持的多重表示方法(MRT)、来自Kebri Dehar大学的多重表示方法(MR)和传统方法(CG)。表征解释问题的前测和后测分别根据前测和微积分内容进行。学生在表征解释问题上的表现采用标题分数进行评估,他们的解释技术被标记为局部与全局、句法与语义。经单因素方差分析(单因素方差分析,F(2.161) = 2.232, P = 0.111,偏eta = 0.03),三组间后验表征解释均数差异无统计学意义。每个组中更多的学生表现出局部和语义解释,而不是整体和句法解释。治疗后,各组中有许多学生转向局部和语义解释。建议本研究需要与不同的参与者重复其他微积分内容,以推广研究结果。
Effect of Multiple Representations on Students’ Performance on Interpretations and Techniques of Representation in Calculus
This study investigated the effect of the multiple representations approaches on students’ representation interpretation in learning calculus. Pretest and posttest quasi-experimental design of non-equivalent groups was used. Three intact groups of size 53, 57, and 54 students from Jigjiga and Kebri-Dehar Universities in Ethiopia participated in this study. The groups included a GeoGebra-supported multiple representations approach (MRT) from Jigjiga University, a multiple representation approach (MR), and a conventional approach (CG), both from Kebri Dehar University. Representation interpretation problem pretest and posttest were administered compiled from pre and calculus contents, respectively. Students’ performance on representation interpretation problems was assessed using rubric scores, and their interpretation techniques were labeled as local versus global and syntactic versus semantic. Results revealed no statistically significant mean difference among the three groups on representation interpretation from the posttest that was determined by one-way ANOVA ((F(2.161) = 2.232, P = .111 , Partial eta = .03). More students in each group demonstrated local and semantic interpretation than global and syntactic interpretation. After the treatment, many students from each group shifted towards the local and semantic interpretation. It is recommended that the study need to replicate other calculus contents with different participants to generalize the results of the study.