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.     

Case studies of teaching problem solving

Summary Some important results that relate to classroom learning and teaching of problem solving emerge from these case studies. These are now summarized as follows. In terms of the students' potential learning experiences of problem solving, it was found that the students were mainly witnessing their teachers' demonstrations of using rules or algorithms for solution to problems. Repeated practice of solving the sorts of problems that occur in examinations was also emphatically included as part of the learning experience. The students were not exposed to a range of strategies that could possibly be used to solve the same problems. There was no explicit teaching of important problem solving skills such as translation skills (comprehending, analyzing, interpreting, and defining a given problem) and linkage skills (concept relatedness between two concepts or using cues from the problem statements to associate ideas, concepts, diagrams, etc. from memory). When teachers solve problems they use, in general, several strategies to solve the same class of problems and they are very careful and explicit about translating problem statements, making relevant linkages and checking. These absences in the teachers' teaching of problem solving (and hence in the students' range of learning experiences) are particularly interesting because they are part of the teachers' own repertoire of skills. Accordingly, it may not be too difficult to get teachers to include them in their teaching. This would mean that the students' range of learning experiences for problem solving would be very much strengthened.     

Emotion discourse, social cognition, and social skills in children with and without developmental delays

This study examined parent-child emotion discourse, children's independent social information processing, and social skills outcomes in 146 families of 8-year-olds with and without developmental delays. Children's emergent social-cognitive understanding (internal state understanding, perspective taking, and causal reasoning and problem solving) was coded in the context of parent-child conversations about emotion, and children were interviewed separately to assess social problem solving. Mothers, fathers, and teachers reported on children's social skills. The proposed strengths-based model partially accounted for social skills differences between typically developing children and children with delays. A multigroup analysis of the model linking emotion discourse to social skills through children's prosocial problem solving suggested that processes operated similarly for the two groups. Implications for ecologically focused prevention and intervention are discussed.     

Equity and Access: All Students are Mathematical Problem Solvers

Often mathematical instruction for students with disabilities, especially those with learning disabilities, includes an overabundance of instruction on mathematical computation and does not include high-quality instruction on mathematical reasoning and problem solving. In fact, it is a common misconception that students with learning disabilities are not strong problem solvers in general. This article highlights the inherent problem solving strengths that students with learning disabilities possess; how they use those skills to address everyday barriers and challenges, and how teachers can relate these skills to academic mathematical instruction. Additionally, practical classroom examples, suggested teaching strategies, and questions for further examinations are discussed.     

What underlies successful word problem solving? A path analysis in sixth grade students

Two component skills are thought to be necessary for successful word problem solving: (1) the production of visual-schematic representations and (2) the derivation of the correct relations between the solution-relevant elements from the text base. The first component skill is grounded in the visual–spatial domain, and presumed to be influenced by spatial ability, whereas the latter is seated in the linguistic–semantic domain, and presumed to be influenced by reading comprehension. These component skills as well as their underlying basic abilities are examined in 128 sixth grade students through path analysis. The results of the path analysis showed that both component skills and their underlying basic abilities explained 49% of students’ word problem solving performance. Furthermore, spatial ability and reading comprehension both had a direct and an indirect relation (via the component skills) with word problem solving performance. These results contribute to the development of instruction methods that help students using these components while solving word problems.     

Linking the components of a university program to the qualification profile of graduates: The case of a sustainability‐oriented environmental science curriculum

A university Environmental Sciences curriculum is described against the background of requirements for environmental problem solving for sustainability and then analyzed using data from regular surveys of graduates (N = 373). Three types of multiple regression models examine links between qualifications and curriculum components in order to derive some conclusions about which qualifications are enhanced by which curriculum components. The underlying rationale of these models is that assessments of the importance of a certain component (and the time graduates think should be allocated to it) should increase with the workplace demand for the qualifications it provides. A comprehensive set of 19 qualifications was used, subdivided into three areas of environmental problem‐solving skills (A, basic scientific and technological skills; B, transformation‐oriented skills; and C, sociopolitical skills) and two areas of transferable skills (D, individual key skills and E, social and communication skills). Relationships identified by different regression models are discussed in terms of mutual consistency and with regard to the design, content, and learning goals of the curriculum components. Many plausible relationships were identified. Using such regression models is a promising indirect method that may be generally applicable for the explorative qualification‐oriented evaluation of university curricula and their fundamental components based on graduates' judgments. © 2009 Wiley Periodicals, Inc. J Res Sci Teach 46: 537–569, 2009     

Predictors of well‐structured and ill‐structured problem solving in an astronomy simulation

This study compared the problem‐solving skills required for solving well‐structured problems and ill‐structured problems in the context of an open‐ended, multimedia problem‐solving environment in astronomy. Two sets of open‐ended questions assessed students' abilities for solving well‐structured and ill‐structured problems. Generalized, rubric scoring systems were developed for assessing problem‐solving skills. Instruments were also developed and administered to assess cognitive and affective predictors of problem‐solving performance. By regressing the scores on the cognitive and affective predictors onto students' scores on the well‐structured and ill‐structured problems, we concluded that solving well‐structured and ill‐structured problems require different component skills. Domain knowledge and justification skills were significant predictors of well‐structured problem‐solving scores, whereas ill‐structured problem‐solving scores were significantly predicted by domain knowledge, justification skills, science attitudes, and regulation of cognition. Implications for problem solving in science education are presented. © 2003 Wiley Periodicals, Inc. J Res Sci Teach 40: 6–33, 2003     

An online support system to scaffold real-world problem solving

The article presents a reusable online support system, in which an open-ended learning environment is created to scaffold complex, real-world problem solving activities. The major learning components of the system are specifically described, and the internal interactions between different components within the system and the external interactions among the system, learners (who also interact with one another among themselves), instructors, and administrators are demonstrated. The learning theories and the assumptions underpinning the system design framework are discussed in terms of each of the system components: case library with real-world cases, question prompts, peer review, expert modelling, and self-reflection mechanisms. In conclusion, initial findings about the support system are shared, and issues regarding reusability, adaptivity, and generativity of the system are addressed focusing on developing novice learners' problem solving skills in various domains and contexts. The article proposes a cognitive model for contextualizing learning scenarios to support real-world problem solving, which has implications for designing e-learning.     

The use of computer games as an educational tool: identification of appropriate game types and game elements

Playing games is an important part of our social and mental development. This research was initiated to identify the game type most suitable to our teaching environment and to identify game elements that students found interesting or useful within the different game types. A group of twenty students played four commercial games (SimIsle, Red Alert, Zork Nemesis and Duke Nukem 3D). Results suggest that students prefer 3D-adventure (Zork Nemesis) and strategy (Red Alert) games to the other types ("shoot-em-up", simulation) with Zork Nemesis ranked as the best. Students rated game elements such as logic, memory, visualisation and problem solving as the most important game elements. Such elements are integral to adventure games and are also required during the learning process. We present a model that links pedagogical issues with game elements. The game space contains a number of components, each encapsulates specific abstract or concrete interfaces. Understanding the relationship between educational needs and game elements will allow us to develop educational games that include visualisation and problem solving skills. Such tools could provide sufficient stimulation to engage learners in knowledge discovery, while at the same time developing new skills.     

Metacognition in basic skills instruction

Metacognition is increasingly recognized as important to learning. This article describes self-regulatory processes that promote achievement in the basic skills of reading and mathematical problem solving. Self-regulatory behaviors in reading include clarifying one's purpose, understanding meanings, drawing inferences, looking for relationships, and reformulating text in one's own terms. Self-regulatory behaviors in mathematics include clarifying problem goals, understanding concepts, applying knowledge to reach goals, and monitoring progress toward a solution. The article then describes the author's experiences integrating metacognition with reading and mathematics instruction and highlights students' reactions to learning to think metacognitively.     

Effects of Manipulative Instruction on Solving Area and Perimeter Problems by Students with Learning Disabilities

Abstract. A multiple baseline design was employed to test the effect of manipulative instruction on the perimeter and area problem‐solving performance of middle and high school students who had been diagnosed with LD in the area of mathematics. Modeling, prompting/guided practice, and independent practice in conjunction with manipulative training were employed to teach both perimeter and area problem‐solving skills. Analysis of data revealed that the students rapidly acquired the problem‐solving‐skills, maintained these skills over a two‐month period, and transferred these skills to a paper and pencil problem‐solving format. This research extends previous findings by revealing that use of concrete manipulatives promotes the long‐term maintenance of skills.     

Communication, Critical Thinking, Problem Solving: A Suggested Course for All High School Students in the 21st Century

The skills of communication, critical thinking, and problem solving are essential to thriving as a citizen in the 21st century. These skills are required in order to contribute as a member of society, operate effectively in post-secondary institutions, and be competitive in the global market. Unfortunately they are not always intuitive or simple in nature. Instead these skills require both effort and time be devoted to identifying, learning, exploring, synthesizing, and applying them to different contexts and problems. This article argues that current high school students are hindered in their learning of communication, critical thinking, and problem solving by three factors: the structure of the current western education system, the complexity of the skills themselves, and the competence of the teachers to teach these skills in conjunction with their course material. The article will further advocate that all current high school students need the opportunity to develop these skills. Finally, it will posit that a course be offered to explicitly teach students these skills within a slightly modified western model of education.     

PERFORMANCE IN MATHEMATICAL PROBLEM SOLVING AS A FUNCTION OF COMPREHENSION AND ARITHMETIC SKILLS

Many factors influence a student’s performance in word (or textbook) problem solving in class. Among them is the comprehension process the pupils construct during their attempt to solve the problem. The comprehension process may include some less formal representations, based on pupils’ real-world knowledge, which support the construction of a ‘situation model’. In this study, we examine some factors related to the pupil or to the word problem itself, which may influence the comprehension process, and we assess the effects of the situation model on pupils’ problem solving performance. The sample is composed of 750 pupils of grade 6 elementary school. They were selected from 35 classes in 17 Francophone schools located in the province of Quebec, Canada. For this study, 3 arithmetic problems were developed. Each problem was written in 4 different versions, to allow the manipulation of the type of information included in the problem statement. Each pupil was asked to solve 3 problems of the same version and to complete a task that allowed us to evaluate the construction of a situation model. Our results show that pupils with weaker arithmetic skills construct different representations, based on the information presented in the problem. Also, pupils who give greater importance to situational information in a problem have greater success in solving the problem. The situation model influences pupils’ problem solving performance, but this influence depends on the type of information included in the problem statement, as well as on the arithmetic skills of each individual pupil.     

初中语文综合性学习显性目标解析

语文综合性学习的显性目标包括方法性知识目标、能力目标。方法性知识目标包括信息的搜集、处理、发布、评价;能力目标包括问题解决能力及创造能力、言语能力、人际交往能力。初中阶段语文综合性学习的目标应进行分解、细化,以利于一线教师在实施过程中的宏观掌控教学,并进行具体的教学设计,最终达成《语文课程标准》要求的目标。     

Promoting active student learning in strength of materials with the aid of CAI

The objective of this paper is to discuss how active student learning is possible with the aid of a CAI package for a subject such as Strength of Materials. Multimedia is the latest innovation that can be utilized to improve learning. In this study, multimedia components such as hypertext, sound, graphics, video, and animation are implemented in a CAI package. These capabilities can capture students' attention, and can also illustrate the application of knowledge to real world problems more effectively than traditional teaching methods. The other features of this package include guided examples, theory, and application tests. Guided examples show the students problem solving techniques, and provide feedback according to their responses. The theory and application tests enable the teacher to gauge the students' understanding of the subject matter. Students who do well in the theory test are eligible to attempt the application test, which poses real-world engineering problems. The lesson that can be concluded from this study is that students' problem solving skills can be improved with the aid of CAI which emphasizes anchored instructions. However, to achieve maximum benefit, students also need to possess independent learning skills.     

无线电调试工操作技能鉴定考核方案的探讨

在进行大批量的中级、高级无线电调试工操作技能鉴定考核时,为克服复杂电子产品的操作技能鉴定考核中元器件的人为故障以及由于焊点外观变化暴露考核点的现象,提出改传统工位式为考核板与焊接板相结合的考核方案,据此,将操作技能鉴定考核归纳为查找故障点、常需调试项目、焊接技巧等考核。     

Understanding and Teaching Problem‐Solving in Physics

Summaries

English

We describe a systematic study of skills for solving problems in basic physics, a domain of practical significance for instruction, but not of prohibitive complexity. Our studies show that an inexperienced student tends to solve a problem by assembling individual equations. By contrast, an expert solves a problem by a process of successive refinements, first describing the main problem features by seemingly vague words or pictures, and only later considering the problem in greater detail in more mathematical language. We have formulated explicit theoretical models with such features and have supported them by some detailed observations of individuals. In addition, experimental instruction incorporating such features seems to improve problem‐solving performance significantly. These investigations yield thus some basic insights into thinking processes effective for problem‐solving. Furthermore, they offer the prospect that these insights can be used to teach students improved problem‐solving skills and to modify common teaching practices which inhibit the development of such skills.     

Problem-Based Learning: What and How Do Students Learn?

Problem-based approaches to learning have a long history of advocating experience-based education. Psychological research and theory suggests that by having students learn through the experience of solving problems, they can learn both content and thinking strategies. Problem-based learning (PBL) is an instructional method in which students learn through facilitated problem solving. In PBL, student learning centers on a complex problem that does not have a single correct answer. Students work in collaborative groups to identify what they need to learn in order to solve a problem. They engage in self-directed learning (SDL) and then apply their new knowledge to the problem and reflect on what they learned and the effectiveness of the strategies employed. The teacher acts to facilitate the learning process rather than to provide knowledge. The goals of PBL include helping students develop 1) flexible knowledge, 2) effective problem-solving skills, 3) SDL skills, 4) effective collaboration skills, and 5) intrinsic motivation. This article discusses the nature of learning in PBL and examines the empirical evidence supporting it. There is considerable research on the first 3 goals of PBL but little on the last 2. Moreover, minimal research has been conducted outside medical and gifted education. Understanding how these goals are achieved with less skilled learners is an important part of a research agenda for PBL. The evidence suggests that PBL is an instructional approach that offers the potential to help students develop flexible understanding and lifelong learning skills.     

Teaching Literature: the Oxford Education Research Group Project

abstract

Employers seek communication, problem‐solving and teamworking skills in graduates. The need for the last factor derives from an increasing use of teams to manage organisations and to solve problems. The use of analyses of personality styles to understand teamwork grows, and the models of Belbin and Margerison and Lewis (the latter based on the Myers‐Briggs analysis of personality type) are used particularly and illustrate the approach. Most programmes which develop personal skills in graduates include development of inter‐personal skills but appear to under‐use the insights of personality typing. There is a case for redressing this balance. Unstructured group work is of less use than it might be. Dangers to be overcome include stereotyping and superficiality. Other implications for higher education appear in the selection of students, understanding student learning and teaching methods, and the relative inability of institutions to use ideas and insights generated by research.