They Learn: I Know for I Was There

Lecture is the approach traditionally used to teach music theory courses. Although efficient in the delivery of large amounts of information in a short period of time, lecture lacks the effectiveness of an active learning approach. "Theory Survivor" is a unique cooperative-learning method based on the Student Teams-Achievement Divisions technique created by Robert Slavin. It combines the efficiency of lecture with the effectiveness of active learning. Using the motivational forces of group cohesion, extrinsic rewards, and positive peer pressure to its advantage, Theory Survivor provides a rich educational environment in which students thrive.     

Do They Know What They Are Doing? Children's Use of Economical Addition Strategies and Knowledge of Commutativity

Children's methods of solving addition problems progress towards strategies that reverse the order of addends. The role knowledge of commutativity plays in this development is not clear. Previous studies suggest some use the strategies without believing addend order is irrelevant to addition. The numbers of such children are very small and the tests of commutativity may be inaccurate. Two studies using new tasks compare strategy use and knowledge. In the first, 47/48 children between 6 and 10 years old predicted order of addends would not alter quantity in some contexts. They also predominantly used strategies that reversed addend order. In the second study, 5‐year‐olds (18/24) were more likely to know commutativity than to use a strategy that reversed addend order or to answer sums correctly. Knowing commutativity precedes using strategies that presuppose it and does not derive from doing sums. Representing the addends with objects induced more arithmetic errors. Children used less accurate strategies when they could see the objects.     

God–Mother–Baby: What Children Think They Know

This study tested one hundred and nine 3‐ to 6‐year‐old children on a knowledge‐ignorance task about knowledge in humans (mother, baby) and God. In their responses, participants not reliably grasping that seeing leads to knowing in humans (pre‐representational) were significantly influenced by own knowledge and marginally by question format. Moreover, knowledge was attributed significantly more often to mother than baby and explained by agent‐based characteristics. Of participants mastering the task for humans (representational), God was largely conceived as ignorant “man in the sky” by younger and increasingly as “supernatural agent in the sky” by older children. Evidence for egocentrism and for anthropomorphizing God lends support to an anthropomorphism hypothesis. First‐time evidence for an agent‐based conception of others' knowledge in pre‐representational children is presented.     

Does Every Child Know They Matter? Pupils' Views of One Alternative to Exclusion

Schools are now urged to make every child matter. In this paper we present the case of the Coalfields Alternatives to Exclusion (CATE) strategy in which pupils at risk of permanent exclusion are offered the opportunity to start afresh in a new school. Without the stigma of exclusion, pupils are able to develop new relationships with peers and teachers and enhance self-esteem. We argue that this system of managed moves, despite some difficulties and challenges, offers an insight into the ways in which feelings of mattering can be translated into new behaviours and intentions. This we suggest provides pupils with a positive opportunity to resume their education and to be genuinely included in the life of their new school.     

They Don't Show Nothing I Didn't Know: Emergent Tensions Between Culturally Relevant Pedagogy and Mathematics Pedagogy

This article describes data from the Community Mapping Project, a set of statistical activities and inquiry projects within a summer seminar for high school students. In designing the Community Mapping Project, we attempted to create conditions under which urban students themselves would come to recognize how mathematics is relevant to their lives and their communities. Using mixed methods, we analyzed the pre- and postassessments and final projects of 25 high school students to investigate what students learned from their experience. We also analyzed the data from video case studies to begin to understand how learning was organized. Our qualitative analysis revealed several tensions that emerged between the goals and norms of our instantiation of a culturally relevant pedagogy and the goals and norms of our mathematics pedagogy. We argue that how these tensions are navigated mediate what opportunity students have for learning statistics. This article provides some considerations and lessons learned that may help inform both teachers who wish to rethink their mathematics pedagogy, and the designers who wish to create culturally relevant curricula.     

A Good Job Is Hard to Find … Until Students Know What They Do Best

Why don't more students use the career center? Shane J. Lopez argues that the traditional career center has not kept up with students’ needs. He suggests that they reimagine themselves as places where students identify and nurture their strengths in order to find fulfilling work and create fulfilling lives.     

Loneliness in Children and Adolescents: What Do Schools and Teachers Need to Know and How Can They Help?

In this article the author conducts a brief review of the research on childhood loneliness in school-age children and the long-term outcomes, especially in relation to the utility of intervening. She advocates an approach based on increasing social competence, developing mutual friendships and overcoming self-defeating thought patterns. Whole-school or whole-class based interventions are described and recommended. She concludes that all components of loneliness should be addressed, not merely the lack of social skills. She argues that since the long-term outcomes of loneliness are as yet unknown, there is no practical and ethical justification for focusing interventions on an individual. Interventions that involve the whole-school or whole-class are theoretically capable of alleviating loneliness in childhood providing they are not narrowly focused.     

学生所知道的 教师所知道的——理论、工具和结果

评估——无论采用何种形式——不得不建立在对不同水平和质量的理论思考基础之上。其中至关重要的是测验内容领域要依据教与学的过程来构建。其次,任务是评估相关内容结构的核心工具。因此,在设计对数学的教育评估时,按照合理的标识和特征对任务进行分类就成为一个息息相关的问题,也是一个巨大的挑战。本文重点研究PISA(国际学生评估项目的缩写,是以数学素养为目标的国际比较研究,包括在国家层面德国所做的许多调整)和COACTIV(德国教师数学知识和数学教学知识的一个代表性研究)。两者都旨在实现区分性评估(differentiated assessment),都考虑了评价内容和任务分析的不同方面。区分性评估结果使得我们能够获取有用的信息,进一步推动课堂教与学的发展。这些信息主要表现为两个方面:评估学生不同类型的知识,这些知识类型直接指向课堂教学与学习中存在的各种问题;探索教师知识对学生学习进展的影响,表明哪种教学行为是有效的。     

它们听得懂

Some people think of cats and dogs as senior animals, for they can understand people＇s facial expression and even their words. In fact, they have underestimated other animals, which can also do what cats and dogs do. Due to their ignorance, people always do something cruel unconsciously to these poor animals through their facial expression and words.     

他们为何出类拔萃

郑金枝的父亲用平日积攒下来的钱为女儿买了张票,她将搭乘一条渔船离开越南,那时,她刚刚9岁。对家人来说,将金枝送上小船,置身于陌生人中间,是一种令人心酸、代价昂贵的牺牲。他们只愿她能最终到达美国,在那里受到良好的教育,享受更美好的生活。