Using case discussion on the web to develop student teacher problem solving skills

To help student teachers solve real world problems during their internships, support from multiple sources is needed. In this study, a website was developed to provide support for student teachers by sharing cases and personal experiences. Student teachers exchanged comments about posted cases with both peer student teachers and experienced teachers. After 2 months of using the web for case discussion, questionnaires were distributed and interviews were conducted with a group of 20 student teachers. The results suggested that such an exchange helped them to increase their understanding of problems, to obtain knowledge and skills to solve problems, and to gain positive attitudes towards teaching as a profession.     

美国80年代以来教师教育发展政策述评

课堂教学质量是教育质量的核心,课堂教学质量的改善与提升关系着高质量教育体系的建成。对话国际上具有典型性与代表性的课堂教学评价框架并从中汲取高质量的核心元素,是中国特色课堂教学评价体系展现国际视野的关键举措。美国教育考试服务中心丹尼森(Danielson)教授研发的Framework for Teaching(FFT)课堂教学评价框架关注课堂教学的过程性质量,秉持高阶性思维、建构性学习、目的性活动和专业性指导的高质量课堂教学理念,涉及4大模块、22个评估要点以及相应的质量观测点,从评价对象与评价方式两个维度跨越时空全面搜集资料并对教师教学工作作出价值判断,旨在通过向教师提供反馈和推动专业发展而引导教师为质量而教,实现教学的背景、投入、过程质量和学生学业成就质量的多维提升。深入研究与反思在理念和内容等方面具有明显优势的FFT课堂教学评价框架,启示中国应在自由和规则、过程和结果的动态和谐关系中,以创设学习文化、促进深度学习为核心,构建具有全球视野的新时代中国特色高质量课堂教学体系,并基于此研发相应的课堂教学质量评价体系和监测工具,构建实现高质量课堂教学的教师教育质量指标体系,促进教育高质量发展。     

A schematic–Theoretic view of problem solving and development of algebraic thinking

This study explored the problem-solving schemas developed by 7th-grade pre-algebra students as they participated in a teaching experiment that was designed to help students develop effective schemas for solving algebraic problem situations involving contexts of (1) growth and change and (2) size and shape. This article describes the qualities and types of schemas that students developed through examples of problems used to develop schemas, examples of students' reasoning and writing, and excerpts from student interviews. Findings from the study indicated that there is a link between the type of generalizations students construct and the schemas they are forming. By using these schemas students recognize, extend, and generalize patterns and quantitative relationships both verbally and symbolically. This revised version was published online in July 2006 with corrections to the Cover Date.     

Effects of teacher gender and principal gender on ratings of teacher performance

The Ohio State University     

Students' ratings of teacher personality and teaching competence

The validity of student rating of teaching is discussed in terms of the effect that students' perceptions of teacher personality might have on that rating. A procedure for using student feedback to evaluate teaching was trialled which sought to minimise the effect of teacher personality on students' ratings of teaching quality. A total of fifteen rating exercises, using ten teachers over a two year period, was carried out. Results indicate that teacher personality, as perceived by students, is still very significantly related to their ratings of teaching quality. It is argued that this is a proper state of affairs which does not undermine the validity of student ratings.     

把数学思想渗透到解题方法之中

从数学教育的目的出发 ,阐述了数学思想和解题方法以及它们之间的关系。指出了当前在数学思想和解题方法教学上的一些不足之处 ,并结合实例提出了在解题教学中如何运用数学思想和解题方法的一些观点和做法。     

发散思维和敛聚思维在化学实验教学中的应用

发散思维和敛聚思维同属于创造性思维范畴。在实验教学中培养学生运用创造性思维有着得天独厚的条件。学生能运用发散思维去发现问题，而运用敛聚思维去“完成”创新任务。这是挖掘学生思维潜能的过程，也是培养创新能力的尝试。     

Facilitating successful prediction problem solving in biology through application of skill theory

The purpose of this study was to identify cognitive factors associated with differences in prediction problem-solving success among high school biology students, and to determine whether guided practice facilitated successful prediction. The Group Assessment of Logical Thinking was used to evaluate subjects' cognitive operational level, written prediction worksheets and think-aloud interviews were used to measure predictive success and identify problem-solving tendencies. Treatment group subjects received 8 hr of directed prediction practice using interactive computer simulations, whereas the control group practiced prediction without focusing on specific skills, after which all subjects were retested. Predictive reasoning success showed a significant correlation (p < .01) to both formal operational development and five specific cognitive skills: (a) identifying relevant knowledge in long-term memory, (b) using a systematic problem-solving strategy, (c) applying cause-effect reasoning, (d) reviewing solutions for logical inconsistency, and (e) evaluating alternative solutions. Analysis of covariance indicated significantly increased prediction success for treatment group subjects following practice in the five identified skills (p < .01). © 1996 John Wiley & Sons, Inc.     

逆向思维在数学解题中的应用

在数学解题中，通过家义的逆用、公式的变形逆用、逆向分析法、反证法、逆向排除法等不仅很多数学问题运算算化，而且还能培养学生思维的敏捷性，提高学生的数学能力。     

The CLIA-model: A framework for designing powerful learning environments for thinking and problem solving

A major challenge for education and educational research is to build on our present understanding of learning for designing environments for education that are conducive to fostering in students self-regulatory and cooperative learning skills, transferable knowledge, and a disposition toward competent thinking and problem solving. Taking into account inquiry-based knowledge on learning and recent instructional research, this article presents the CLIA-model (Competence, Learning, Intervention, Assessment) as a framework for the design of learning environments aimed to be powerful in eliciting in students learning processes that facilitate the acquisition of productive knowledge and competent learning and thinking skills. Next, two intervention studies are described that embody major components of this framework, one focussing on mathematical problem solving in primary school, and a second one relating to self-regulatory skills in university freshmen. Both studies were carried out in parallel with the development of the framework, and were instrumental in identifying and specifying the different components of the model. They yielded both promising initial support for the model by showing that CLIA-based learning environments are indeed powerful in facilitating in students the acquisition of high-literacy learning results, especially the acquisition and transfer of self-regulation skills for learning and problem solving.     

语文教学中如何培养盲生的发散思维

语教学过程是对学生进行启智思维的过程。在盲校语教学中，教师要主动引导盲生打破固有观念和模式的束缚，提倡和鼓励他们解放思想、创新思维、大胆实践，逐步形成充满生机活力的发散思维，为全面深入地思考问题创造条件。这就要求盲校语教师既要传授语知识，又要体现社会性和思想性，还不能忽视了盲生对艺术美的追求和享受。盲生的发散思维一般来说是在阅读、讲读、写作等语教学实践中，     

Schema-based instruction: Effects of experienced and novice teacher implementers on seventh grade students' proportional problem solving

This study examined the effects of a research-based intervention, schema-based instruction (SBI), implemented by experienced- (taught SBI in previous study; Jitendra et al., 2015) and novice-teacher implementers (taught SBI for the first time with professional development) on the mathematics outcomes of seventh-grade students. SBI is a multicomponent intervention that emphasizes the mathematical structure of problems through the use of schematic diagrams and incorporates problem solving and metacognitive strategy instruction. Results indicated that both experienced- and novice-teacher implementers delivered SBI with similar levels of fidelity; there was no SBI experience effect on the immediate and 10-week retention tests of proportional problem-solving, on a general measure of problem solving, or on the end of the year state mathematics achievement test. These results provide evidence that the effectiveness of SBI generalizes over time to different cohorts of teachers and that the impact of SBI on student mathematics outcomes is maintained over time without additional PD.     

Making sense of student mathematical thinking: the role of teacher mathematical thinking

Educational Studies in Mathematics - In mathematical whole-class discussions, teachers can build on various student ideas and develop these ideas toward mathematical goals. This requires teachers...     

A computational model of student cognitive processes while solving a critical thinking problem in science

Critical thinking when engaged in science problem solving around even simple tasks such as the Piagetian volume conservation task is a complex endeavor. Tasks such as the conservation task often require the interaction of multiple cognitive systems. Parity judgment, retrieval, and lateral thinking are three examples of such systems interacting with critical thinking during a student’s attempt to solve the Piagetian task. The purpose of this computational ablation study is to establish the role of critical thinking as a necessary component of a system of cognition used for the completion of the Piagetian volume conservation task. This ablation study consists of three phases. The confidence interval between the ablation model and the elementary students do not overlap, indicating they are not statistically significantly different. This provides evidence that the model successfully emulates aspects of human cognition and the model can provide a robust picture of science student cognitive processes.     

Diagrams and illustrations as aids to problem solving

The psychological literature relating to factors which should be taken into account in the design of illustrations and pictorial instructions as aids to problem solving is reviewed. The problem solver can invoke a wide range of strategies for using pictorial materials to achieve his goal, although pictorial instructions which indicate how to perform actions place a tighter constraint on the choice of strategy than illustrations showing only states to be attained. The designer must make his graphics compatible with as wide a range of strategies for using them as possible while building on the knowledge the problem solver already possesses.The author now works for the Post Office Telecommunications Systems Strategy Department, 88 Hills Road, Cambridge.