中小学几何教学之我见

中小学几何课程应当教些什么一直是个具有争议的课题.回顾欧氏几何的发展历史有助于我们对几何有更深入的理解.新加坡中小学几何课程受到“新数学”及“回归基础”等各种思潮的影响,新的数学大纲计划在2007年正式推出,在几何教学上也会有相应的变动.对于中小学几何课程应当教授哪些内容我们至今仍未能达成共识.事实上,几何本身是无所不在的.真正的关键之处并不在于教的内容,即教些什么,而在于教的方法,即如何施教.中小学的数学课应当采取代数与几何并重的方式进行教学.     

Teacher attributions for children's attention‐deficit/hyperactivity disorder behaviors predict experiences with children and with classroom behavioral management in a summer program practicum

Elementary school teachers often implement classroom behavioral management systems to address student misbehavior. Common problems targeted by these systems are the inattentive, hyperactive, and impulsive behaviors characteristic of attention‐deficit/hyperactivity disorder (ADHD). This study examined teachers' attributions for why children display ADHD behaviors, and how such attributions affect their experiences with children in the context of interventions to manage these behaviors. Participants were 32 preservice teachers undertaking a practicum in a summer program for 137 children (Grades 1–3), some of whom had ADHD. Teachers were trained to implement classroom‐wide behavioral management. Teachers' attributions for children's ADHD behaviors were assessed using a vignette measure, before teachers had met their students or begun training on intervention techniques. When controlling for attributions regarding oppositional behavior, teachers' initial attributions for ADHD behaviors as less internal/controllable predicted children reporting more positive relationships with that teacher during the summer program. Teachers' initial attributions for ADHD behaviors as less stable predicted teachers' greater satisfaction with the intervention techniques during the summer program and their greater attunement to children's social networks. Cognitions about the causes of children's ADHD behaviors held by preservice teachers may relate to their subsequent experiences with children in the context of implementing classroom behavioral management.     

The Relative Interdependency of Colloquial and Mathematical Discourses Regarding the Notion and Calculations of Limit: an Evidence-Based Cross-Cultural Study

This study compares English- and Korean-speaking university students’ colloquial and mathematical discourses on the notion and practice of limit. There exists a lexical discontinuity in Korean with the word limit, since the mathematical word for limit is not commonly used as a colloquial word in Korean, unlike its use in English. This study discusses similarities and differences with regard to ways students in each country use the word limit in colloquial contexts and in mathematical tasks. Data include surveys and interviews, and participants’ discourses, which were analyzed using Sfard’s (2008) discursive framework. Findings indicate that the mathematical discourse of the Korean speakers was structural (i.e. formal or mathematical) and the one for the English speakers was processual. Further, the differences between the US and Korean participants’ use of limit in everyday and mathematical discourses informed the language-dependent properties of school mathematics discourses in terms of word use, routines, endorsed narratives, and visual mediators. This study discusses different discursive needs—linguistically and culturally—to support meaningful mathematical discourses.     

Predicting successful completion using student delay indicators in undergraduate self-paced online courses

Self-paced online courses meet flexibility and learning needs of many students, but skepticism persists regarding the quality and the tendency for students to procrastinate in self-paced courses. Research is needed to understand procrastination and delay patterns of students in online self-paced courses to predict successful completion and retention. This article examines three measures of delay in undergraduate online self-paced courses: the days between registration date and first date of assignment submission (Days to Start), the average days between assignment submissions (Days between Assignments), and total days between registration and completion (Days to Complete). The average length of time between assignment submissions was found to be most useful to predict final letter grade and withdrawal. Students’ consistency and regular work on a self-paced class may be the best strategy for success. Institutions offering self-paced courses should implement strategies to teach students self-regulating behaviors.     

Professional skills development in a resource-poor setting: the case of pharmacy in Malawi

The dominance of the human capital approach in vocational skills development has been increasingly questioned for being de-humanised and de-contextualised. Contrary to this trend, the discourse in health professional skills development has shown increasing enthusiasm for consolidating this existing paradigm. To debate whether professional skills development should indeed be insulated from such scepticism, this paper examines one strategy adopted by the health professions. Called ‘task shifting’, this strategy involves re-delegating professional tasks to nonprofessional cadres according to a skills-based toolkit. Challenging the context-free approach to using this toolkit, this paper presents ethnographic evidence derived from a case study of pharmacy workforce issues in Malawi. It was found that task shifting was inhibited by a perception barrier about the moral and intellectual superiority of the pharmacists. Pharmacy technicians were judged to be unfit for a professional task because of a perceived lack of professional status, power and ethics. On tracing the origin of the inherent professional prowess assigned to the pharmacists, it was found that professionalism was an ideology borrowed from external sources, inter alia, colonial legacies and global health governance. This study exposes our hidden assumption about an axiomatic transferability of Anglo-American skills development models to a postcolonial, aid-dependent context. This paper therefore suggests redefining this toolkit by bridging health research into dialogue with non-health disciplinary concerns such as postcolonialism and aid-dependence. In conclusion, it argues that professional skills development is context-laden; and in need of a human-centred approach that involves true indigenous participation–challenges not unlike those faced by the vocational skills discourse.     

Spatial pedagogy: mapping meanings in the use of classroom space

The positioning and movement of the teacher in the classroom are fundamental to the pedagogical process. Specific spaces in the classroom take on certain meanings because of the nature of pedagogic discourse that occurs on the site and the positioning and distance of the site relative to the students and the teaching resources. Spatial pedagogy is realised through the patterns of positioning and the directionality of movement, as well as the intersemiotic correspondences in the use of space with other semiotic resources (e.g. language, gesture and teaching materials). This paper investigates the different types of space in the classroom and their associated meanings. It also discusses an approach for annotating the teacher’s use of space, and the usefulness of visualising this annotation through digital graphical methods. The notion of ‘structured informality’ in the classroom is proposed through data analysis of two teachers conducting similar lessons, but with apparently different pedagogical styles.     

International students’ use of social network services in the new culture: a case study with Korean youths in the United States

In the United States, international students, especially from Asia, have reportedly experienced difficulty adjusting to their new life and culture. Little research has been done to understand the role of social network service (SNS)s, including instant messaging, blogs, chatting websites, and email on these students. Korean students are the largest international student group in the United States and were selected for the qualitative case study. Results showed that the participants used SNSs in various ways for their emotional well-being and for academic purposes.     

Factors affecting the adoption of social network sites: examining four adopter categories of Singapore's working adults

Adapted from Chang et al.'s (2006) models, this study examines factors that influence adoption and non-adoption of social network sites (SNS) in adopters (Continuers, Discontinuers) and non-adopters (Potentials, Resistors). Chi-square and t-test were used to analyze the survey data of Singapore's working adults and Internet users (N =222). The findings reveal innovation characteristics (relative advantage, compatibility, complexity) and perceived popularity differ significantly in three pairs of adopter categories. Results show Continuers and Potentials are concerned more about image than Discontinuers and Resistors, while technology cluster differs between adopter vs. non-adopter and Continuers vs. Discontinuers. Moreover, the study suggests younger people tend to adopt SNSs, females continue to use SNSs more, and potential SNS users are more innovative. Lastly, a regression model to forecast the adoption of SNSs is proposed in which age, compatibility, technology cluster, and perceived popularity are predictors.     

Advertising images among Hong Kong Chinese: Use of individual modernity and western orientation clusters in determining market segmentation∗

Advertising is a highly visible force in Hong Kong society. Within this diverse environment, media organizations and marketers attempt to define target markets (market segmentation) composed of persons who are most likely to be influenced by their marketing and advertising efforts. This research, based on a 1,019 sample face‐to‐face intercept survey, segments the market based on measures of self‐ascribed individual modernity and individual traditionalism and Chinese and Western value orientation. The scales are statistically analysed by cluster analysis, to place each respondent into clusters. The segmentation scheme viability is analysed in relation to media consumption and attitudes about specific advertising issues in six areas: 1. consumer benefits and economic force; 2. credibility; 3. entertainment value; 4. social force; 5. manipulation and motivation; and 6. repetition. The segmentation of individual modernity/traditionalism and Chinese/Western orientation provides greater differentiation than age, gender, income, education or place of residence.     

Understanding MOOCs as an Emerging Online Learning Tool: Perspectives From the Students

This study examined participants’ learning experiences in the context of a six-week massive open online course (MOOC) in journalism with five thousand students from 137 countries. Three research questions were asked: (1) Who are the students and why are they enrolled in this MOOC?, (2) How much time have the students spent in taking this MOOC and have they completed all the assignments?, and, (3) What have they learned and what aspects of this MOOC do the students find most helpful? Four hundred and nine students responded to a survey and forty-four responded to interview questions. The main findings showed 84% of the participants were working professionals and only 28.9% were from a journalism background. Of those who did not complete the course, lack of time was the top reason. Most participants reported a positive learning experience, but lack of feedback and/or poor quality were reported as negative experiences. The discussion forum was the least liked aspect of the course.