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This study compared how selected mathematics textbooks from Mainland China and the United States at the lower secondary grade level represent various types of problems for classroom teaching and learning. The examination of problems was carried out based on the classifications of problem types established in the study, including routine problems versus non-routine problems, open-ended problems versus close-ended problems, traditional problems versus non-traditional problems, and application problems versus non-application problems, among others. Both the similarities and differences in the representation of problems in the selected textbooks were analyzed. The results were used to explore the possible influences of those textbooks on students_ different performances in mathematics, as revealed in cross-national comparisons. Discussions about how to improve the representation of problems in mathematics textbooks were provided at the end of the study.

The article reports on a study investigating the comparative effects of immediate and delayed corrective feedback in learning the English past passive construction, a linguistic structure of which the learners had little prior knowledge. A total of 120 learners of English as a foreign language (EFL) from 4 intact classes at a Chinese middle school were randomly assigned to conditions: immediate feedback, delayed feedback, task-only, and control. The 3 experimental groups attended a 2-hour treatment session where they performed 2 dictogloss (narrative) tasks in groups, each followed by a reporting phase in which they took turns telling the narrative to the class. The 2 feedback groups received either immediate or delayed corrective feedback in the form of a prompt, followed by recasts of utterances containing errors in their use of the target structure. No effect for the corrective feedback was found on elicited imitation test scores, but both the immediate and delayed feedback resulted in gains in grammaticality judgment test scores, with immediate feedback showing some advantage over delayed feedback. We interpret these results as showing that the feedback only aided the development of declarative/explicit knowledge and that the advantage found for immediate feedback was due to the learners using the feedback progressively in the production of new past passive sentences, whereas this did not occur in the delayed feedback condition.

This study investigated the effectiveness of task-based and task-supported instruction in the acquisition of the English passive construction—a structure about which learners had limited prior knowledge. A total of 150 Chinese middle school English as a foreign language (EFL) learners were randomly assigned to five groups—one control group who only took the pretest and posttests and four experimental groups who attended a 2-hour treatment session where they performed two dictogloss tasks in groups, each including a reporting phase when the learners took turns to tell the narrative. Among the four experimental groups, one just performed the two oral tasks; a second group received explicit instruction before performing the tasks; a third group received within-task feedback but no explicit instruction; and the fourth group received both explicit instruction and within-task feedback. Treatment effects were gauged via a grammaticality judgment test (GJT) and an elicited imitation test (EIT). On the GJT, the conditions with explicit instruction and/or feedback led to significant gains with explicit instruction plus feedback showing the largest effects. On the EIT, there was no effect for any of the three treatment groups when the data were analyzed for the whole cohort. However, when the learners were subdivided into those with zero and some prior knowledge based on their pretest EIT scores, explicit instruction plus within-task feedback was more effective than the other treatment types for the latter.

ABSTRACT. The importance of motivation in learning has been widely recognized. However, due to its multidimensional and complex nature, it appears difficult to synthesize research findings on motivation across studies. Heated debates about the effects of intrinsic and extrinsic motivation on learning and their interaction have been going on since the terms started to be used. Moreover, cultural difference acts as another crucial factor in the field. Using the Trends in International Mathematics and Science Studies 2003 eighth grade mathematics data, this study scrutinized the relationship between pleasure-oriented (intrinsic-related) and productivity-oriented (extrinsic-related) motivation and how they collectively affect students' academic performance in East Asian education systems compared with those from Australia, England, The Netherlands, and the USA. The study found that both types of motivation contributed to East Asian students' mathematics achievement in an additive fashion, whereas extrinsic-related motivation appeared to have a detrimental effect on their Western counterparts' learning. Possible reasons were explored from a cultural perspective.

This study examined how selected school mathematics textbooks in China, Singapore, and USA at the lower secondary grade level represent problem-solving procedures. The analysis of problem-solving procedures was carried out in two layersgeneral strategies, which adopted Pólya's four-stage problem-solving model, and specific strategies, which consisted of 17 different problem-solving heuristics such as 'acting it out,' 'looking for a pattern,' 'working backwards,' etc. Both similarities and differences in the representation of problem-solving procedures in the textbooks across the three countries were revealed and compared. The possible reasons for the similarities and especially for the differences were explored. Suggestions about how to improve the representation of problem-solving in mathematics textbooks were provided at the end of the study.

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