We investigated the use of diagrams in multiplicative comparison word problems. The diagrams have been considered as one of the effective heuristic strategies or solving math problems. However, how students use during...We investigated the use of diagrams in multiplicative comparison word problems. The diagrams have been considered as one of the effective heuristic strategies or solving math problems. However, how students use during their school and the degree development that shows in their performance when applied to specific fields of knowledge is a task to be elucidated. We place our study in the school stage in which it makes the transition from arithmetic to algebra and arithmetic problems we focus on in the underlying multiplicative comparison scheme. In this paper, we analyzed the responses of high school students to the translation of multiplicative comparison word problems to representation graphs. We have used the responses of 12 -14 year old students （freshman year of secondary school） to represent multiplicative comparison word problems to identify and categorize the students responses, which allowed us identify categories for each type of representation and hypothesize priority order and subordination between the categories. Results show that students are not familiar with building diagrams that integrate existing relations in word problems. Most of the students do not use all the quantitative information contained in the word problem, therefore draw diagrams referring to the subject or context of the problem without relating to the data in it. We describe in detail the quantitative diagram types produced by these students. We have identified four kinds of quantitative diagrams that the students used to represent the multiplicative comparison problems with inconsistent statements, and these diagrams correspond to the four strategies for tackling the construction of the diagram.展开更多
This paper examines the projection and reception of strategic narratives in the realm of Chinese nationalism and the impact of contemporary official nationalist discourse on Beijing＇s foreign policy making. Within th...This paper examines the projection and reception of strategic narratives in the realm of Chinese nationalism and the impact of contemporary official nationalist discourse on Beijing＇s foreign policy making. Within the analytic framework of political symbolism, the paper dissects the divergent national identities reflective in different semantic and syntactic relationships inherent in the state-crafted historical narratives in contemporary China. In the post-Tiananmen era, the signification of the traumatic symbol of national humiliation in modem Chinese history, projected in the form of strategic narratives by the Party-state in patriotic education, has given rise to a societal force that threatens to internalize the historical conflicts on the foreign relations fi：ont. The counter-effect of strategic narratives, which has constrained the rationality of the state＇s foreign policy making, implies that collective memory is not an on^ztemand resource for the authoritarian regime to exploit to enhance its legitimacy. The relationship between the Chinese state and society as the constructor and consumer of communicative nationalism cannot be simplistically dichotomized.展开更多
文摘We investigated the use of diagrams in multiplicative comparison word problems. The diagrams have been considered as one of the effective heuristic strategies or solving math problems. However, how students use during their school and the degree development that shows in their performance when applied to specific fields of knowledge is a task to be elucidated. We place our study in the school stage in which it makes the transition from arithmetic to algebra and arithmetic problems we focus on in the underlying multiplicative comparison scheme. In this paper, we analyzed the responses of high school students to the translation of multiplicative comparison word problems to representation graphs. We have used the responses of 12 -14 year old students （freshman year of secondary school） to represent multiplicative comparison word problems to identify and categorize the students responses, which allowed us identify categories for each type of representation and hypothesize priority order and subordination between the categories. Results show that students are not familiar with building diagrams that integrate existing relations in word problems. Most of the students do not use all the quantitative information contained in the word problem, therefore draw diagrams referring to the subject or context of the problem without relating to the data in it. We describe in detail the quantitative diagram types produced by these students. We have identified four kinds of quantitative diagrams that the students used to represent the multiplicative comparison problems with inconsistent statements, and these diagrams correspond to the four strategies for tackling the construction of the diagram.
文摘This paper examines the projection and reception of strategic narratives in the realm of Chinese nationalism and the impact of contemporary official nationalist discourse on Beijing＇s foreign policy making. Within the analytic framework of political symbolism, the paper dissects the divergent national identities reflective in different semantic and syntactic relationships inherent in the state-crafted historical narratives in contemporary China. In the post-Tiananmen era, the signification of the traumatic symbol of national humiliation in modem Chinese history, projected in the form of strategic narratives by the Party-state in patriotic education, has given rise to a societal force that threatens to internalize the historical conflicts on the foreign relations fi：ont. The counter-effect of strategic narratives, which has constrained the rationality of the state＇s foreign policy making, implies that collective memory is not an on^ztemand resource for the authoritarian regime to exploit to enhance its legitimacy. The relationship between the Chinese state and society as the constructor and consumer of communicative nationalism cannot be simplistically dichotomized.
