小学四年级学生对平均数概念理解的发展过程

利用Pirie和Kieren提出的数学理解发展模型,分析了3名小学四年级学生对平均数概念理解的发展过程.结果表明:学生对平均数概念的理解经历了初步了解、产生表象、形成表象、关注性质和形式化等5个水平.在理解发展过程中,当学生发现他的思想和行动与自己所面临的问题不一致时,他就要折返回内层水平来扩展自己目前的活动能力和活动空间.而教师的干预则激发了学生的折返,为学生提供了独立建构或修正个人表象的机会.     

Increasing engagement of students with learning disabilities in mathematical problem‐solving and discussion

Engagement in problem‐solving and mathematical discussion is critical for learning mathematics. This research review describes a gap in the literature surrounding engagement of students with Learning Disabilities in standards‐based mathematical classrooms. Taking a sociocultural view of engagement as participation in mathematical practices, this review found that students with LD were supported towards equal engagement in standards‐based mathematics through multi‐modal curriculum, consistent routines for problem‐solving, and teachers trained in Mathematical Knowledge for Teaching. Using this small set of studies (7), we identify the need to deepen the engagement of students with LD in mathematical problem‐solving and discussion. This review concludes with implications for teaching and learning.     

多媒体网络环境下学习者翻译能力培养策略的实证研究

在翻译能力结构分析和培养策略探索的基础上，采用翻译测试和问卷调查两种实证研究的方式，着重考察了在多媒体网络环境下，“以学习者为中心”的“过程教学法”对学生翻译能力的影响。通过对实验组和控制组进行一个学期的培训后，数据分析结果表明，此教学法对提高学生的翻译能力具有明显成效。     

Exploring Developmental Appropriateness of Multitouch Tables in Prekindergarten: A Video Analysis

This study explored how developmentally appropriate practices influenced the affordances of a multitouch surface in an early childhood classroom. Children, ages 4 to 5 years old, were videotaped while engaged in a storymaking application on a multitouch table. As a result of the study, we found that some challenges with the functionality undermined children's autonomous control. The researchers observed numerous instances of issues with control of the medium, including height of the table, sensitivity to multiple types of touch, and limited instructions and prompts. Implications for future research and practice are discussed.     

Children's responses to the interactivity of storybook apps in family shared reading events involving the iPad

This paper reports on some data on the effects of screen‐based interactivity on children's engagement with storybook apps during family shared book reading that were gathered in a 2‐year, small‐scale ethnographic case study in Spain. Data analysis focuses on the complex interplay between the storybook app's interactive features and the children's responses to them. Our findings show that interactive elements increase the child's autonomy, as they tend to promote the importance of the reader, positioning him or her as a collaborator, storyteller, an author or an internal character in the fiction; something that can materialise in exciting narrative strategies that can trigger powerful responses to digital literary texts in emergent readers, including playing, creating new fictions or engaging emotionally with the story. Finally, we argue that the Reader Response models that have been used over recent decades to understand children's reading experiences with storybooks need to be revised to better understand their current experiences with interactive texts.     

Is Reading Recovery sustainable two to four years after discontinuation?

The Reading Recovery programme has been a key early literacy intervention in many international contexts for over two decades. As a consequence, there have been numerous investigations into its efficacy for short-term gains, but only a few on long-term sustainability. This study examines the progress of 95 Year 4–6 students from seven schools in the rural hinterland of New Zealand. Standardised data were collected from students who had been successfully discontinued from Reading Recovery two to four years previously and compared them with mean performance from the same school populations. Results showed that only Year 6 students obtained the mean scores which placed them within the national average range. Our results also showed that whilst almost half of the ex-Reading Recovery students we studied, fell within the average band, 45% were classified as well below average.     

Assessment in special schools: national early assessment procedures and pupils attending special schools in England

An implicit assumption that fostering inclusion means having shared systems encompassing the needs of all children is evident in many aspects of policy development over the past decade. Reflecting this, the implementation of ‘baseline assessment’ schemes (i.e. testing at around age 5 years) is a statutory requirement on all state-maintained special and mainstream schools in England since 1998. Our argument is that the enthusiasm for commonality has obscured the need to question the value and validity of baseline assessment schemes for children with special educational needs (and possibly some others such as children having English as an additional language). We illustrate this position with reference to data from our recent study on baseline assessment in England. The study encompassed survey data from a national sample of 982 schools, of which 107 were special schools. Between them, these special schools used 42 different baseline assessment schemes. Comparisons between our mainstream and special school respondents indicated that there were similarities in the nature and perceived value of the schemes used. However, special schools were less satisfied with their schemes. We suggest that a reappraisal of the nature and purpose of baseline assessment for pupils with special educational needs warrants greater critical debate. Without this, there is a danger that a stress on commonality, veiling an inclusion orthodoxy, will ultimately be counterproductive.     

一类离散型随机变量

介绍了一类有趣的离散型随机变量。它的均值和方差都是1，并由此得到了几个求和公式．而这几个公式的求和问题不论是用初等方法或分析方法都是比较困难的，但用概率的方法却比较容易解决．     

正确培养大学生的数学思维品质

以发展个性思维为目的，探讨了培养学生思维的精度、速度、新度、深度、广度等五个方面的思维品质。