Proof image     

Ivy Kidron  Tommy Dreyfus 《Educational Studies in Mathematics》2014,87(3):297-321

The emergence of a proof image is often an important stage in a learner’s construction of a proof. In this paper, we introduce, characterize, and exemplify the notion of proof image. We also investigate how proof images emerge. Our approach starts from the learner’s efforts to construct a justification without (or before) attempting any formal argument, and it focuses on the process by which a complete but not necessarily communicable image of that justification becomes available to the learner and provides explanation with certainty. We consider the interplay between the learner’s intuitive and logical thinking and, using the theoretical framework of Abstraction in Context, we trace the construction of knowledge that results from and enables progress of this interplay. The existence and identification of proof images and the nature of the processes by which they emerge constitute the theoretical contribution of this paper. Its practical value lies in the empirical analyses of these processes and in the potential to apply them to the design of tasks that support students in constructing their own proofs images and proofs. We believe that such processes are likely to considerably enrich students’ mathematical experience.  相似文献   

Upper Secondary Schools and Sparsity: The Case of Northern Sweden     

Tommy Lind 《Scandinavian Journal of Educational Research》2019,63(3):333-346

Governmental reforms since the early 1990s have acted as a push factor for starting new schools in Sweden and have created options for pupils to choose a school irrespective of municipal borders. This study highlights the upper secondary school system in small municipalities in northern Sweden since the late 1990s. The analysis shows that the reforms led to more schools, and thereby also to more competition in recruiting pupils both within and across municipal borders. When the cohorts started declining, the vulnerability of the school structure became obvious. The competition generated higher costs per capita and fewer available programs in small municipalities. Furthermore, it was noted that fewer pupils attending schools in small municipalities completed their education compared to those in larger municipalities.  相似文献   

Opportunity-to-learn context-based tasks provided by mathematics textbooks     

Ariyadi Wijaya  Marja van den Heuvel-Panhuizen  Michiel Doorman 《Educational Studies in Mathematics》2015,89(1):41-65

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P. E. and the “Normal” American Child     

Tommy Thompson 《Clearing house (Menasha, Wis.)》2013,86(4)

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Illegal tuition waivers in Minnesota     

Tommy Sangchompuphen 《Academic Questions》1998,11(4):66-68

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Childhood football play and practice in relation to self-regulation and national team selection; a study of Norwegian elite youth players     

Martin K. Erikstad  Rune Høigaard  Bjørn Tore Johansen  Ngianga-Bakwin Kandala  Tommy Haugen 《Journal of sports sciences》2018,36(20):2304-2310

Childhood sport participation is argued to be important to understand differences in self-regulation and performance level in adolescence. This study sought to investigate if football-specific activities in childhood (6–12 years of age) is related to self-regulatory skills and national under 14- and 15-team selection in Norwegian elite youth football. Data of practice histories and self-regulatory skills of 515 youth football players selected at Norwegian regional level were collected and further analysed using multilevel analyses. The results revealed that high self-regulated players were more likely to be selected for national initiatives, and increased their involvement in peer-led football practice and adult-led football practice during childhood, compared to players with lower levels of self-regulation. While national level players reported higher levels of peer-led football play in childhood, the interaction effect suggest that the regional level players increased their involvement in peer-led play during childhood compared to national level players. In conclusion, the findings indicate that childhood sport participation may contribute to later differences in self-regulation, and highlights the importance of childhood engagement in football-specific play and practice in the development of Norwegian youth football players.  相似文献   

Letters to Our Children: Narrating Legacies of Love,Dissent, and Possibility     

Juan F. Carrillo  Tommy Ender  Josmell J. Perez 《Journal of Latinos & Education》2018,17(3):238-251

Drawing from Cervantes-Soon’s (2012) framework of testimonios as confessions, counter-narratives, and consejos, we explore how writing letters to our children serves as a process of historical documentation, healing, and a passing down of social justice principles and family history. Additionally, we expand on Cervantes-Soon’s framework by utilizing testimonios as a process by which to affirm intergenerational memory. Finally, connections are made to the potential role of letter writing as an important pedagogical tool.  相似文献   

E, S, and M As in Esm – an Editorial     

Tommy Dreyfus 《Educational Studies in Mathematics》2006,62(1):1-2

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Baseline assessment in Scotland     

Tommy MacKay 《Journal of Research in Reading》1999,22(1):81-88

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倘若她是天使     

Tommy Shane Steiner 《海外英语》2007,(6):17

有着俊朗外貌的Tommy Shane Steinerr以纯正的乡村歌喉演唱着属于他牛仔风格的歌曲。他出道后,受到了许多前辈的关注和提携:连续11年主持乡村音乐协会年度颁奖典礼的歌星Vince Gill出人意料地为Steiner的主推曲What If She’s An Angel配唱了合  相似文献