The role of conceptual understanding in children's addition problem solving.

1998 ◽  
Vol 34 (5) ◽  
pp. 882-891 ◽  
Author(s):  
Katherine H. Canobi ◽  
Robert A. Reeve ◽  
Philippa E. Pattison
2018 ◽  
Author(s):  
Brett Buttliere

Over the last decade, there have been many suggestions to improve how scientists answer their questions, but far fewer attempt to improve the questions scientists are asking in the first place. The goal of the paper is then to examine and summarize synthesize the evidence on how to ask the best questions possible. First is a brief review of the philosophical and empirical literature on how the best science is done, which implicitly but not explicitly mentions the role of psychology and especially cognitive conflict. Then we more closely focus on the psychology of the scientist, finding that they are humans, engaged in a meaning making process, and that cognitive conflict is a necessary input for any learning or change in the system. The scientific method is, of course, a specialized meaning making process. We present evidence for this central role of cognitive conflict in science by examining the most discussed scientific papers between 2013 and 2017, which are, in general, controversial and about big problems (e.g., whether vaccines cause autism, how often doctors kill us with their mistakes). Toward the end we discuss the role of science in society, suggesting science itself is an uncertainty reducing and problem solving enterprise. From this basis we encourage scientists to take riskier stances on bigger topics, for the good of themselves and society generally.


2020 ◽  
Author(s):  
Igor Grossmann ◽  
Nic M. Weststrate ◽  
Monika Ardelt ◽  
Justin Peter Brienza ◽  
Mengxi Dong ◽  
...  

Interest in wisdom in the cognitive sciences, psychology, and education has been paralleled by conceptual confusions about its nature and assessment. To clarify these issues and promote consensus in the field, wisdom researchers met in Toronto in July of 2019, resolving disputes through discussion. Guided by a survey of scientists who study wisdom-related constructs, we established a common wisdom model, observing that empirical approaches to wisdom converge on the morally-grounded application of metacognition to reasoning and problem-solving. After outlining the function of relevant metacognitive and moral processes, we critically evaluate existing empirical approaches to measurement and offer recommendations for best practices. In the subsequent sections, we use the common wisdom model to selectively review evidence about the role of individual differences for development and manifestation of wisdom, approaches to wisdom development and training, as well as cultural, subcultural, and social-contextual differences. We conclude by discussing wisdom’s conceptual overlap with a host of other constructs and outline unresolved conceptual and methodological challenges.


Author(s):  
Andrew Williams ◽  
Craig Paterson

Abstract The increase in calls for police reform following the death of George Floyd has led to renewed debate about social inequality and the role of policing in society. Modern bureaucratic police systems emerged from locally administered structures and Anglo-American policing models continue to be aligned, to varying degrees, with the political, socio-cultural, legal, and ideological aspects of contemporary liberal democratic society with its emphasis on democratic localism and decentralised accountability. However, at a time when society is reimagining itself and technology, government, and nations are radically re-shaping themselves, a critical question is whether there is a sufficiently common philosophical and conceptual understanding of policing to support its development rather than just a common understanding of police functions. This is profoundly important when considering the current calls for reform of policing in the USA and other western democratic states. The article argues that there is an urgent need to reconsider how we conceptualize policing and its relationship with social development.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Antonios Bakolis ◽  
Dimitrios Stamovlasis ◽  
Georgios Tsaparlis

Abstract A crucial step in problem solving is the retrieval of already learned schemata from long-term memory, a process which may be facilitated by categorization of the problem. The way knowledge is organized affects its availability, and, at the same time, it constitutes the important difference between experts and novices. The present study employed concept maps in a novel way, as a categorization tool for chemical equilibrium problems. The objective was to determine whether providing specific practice in problem categorization improves student achievement in problem solving and in conceptual understanding. Two groups of eleventh-grade students from two special private seminars in Corfu island, Greece, were used: the treatment group (N = 19) and the control group (N = 21). Results showed that the categorization helped students to improve their achievement, but the improvement was not always statistically significant. Students at lower (Piagetian) developmental level (in our sample, students at the transitional stage) had a larger improvement, which was statistically significant with a high effect size. Finally, Nakhleh’s categorization scheme, distinguishing algorithmic versus conceptual subproblems in the solution process, was studied. Dependency of problem solving on an organized knowledge base and the significance of concept mapping on student achievement were the conclusion.


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