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The mathematical bases for qualitative reasoning

J. Kalagnanam, H.A. Simon, Y. Iwasaki
1991 IEEE Expert  
TITLE Pwklu Socun'ty Classflcation) THE MATHEMATICAL BASES FOR QUALITATIVE REASONING 12. PERSONAL. AUTHOR(S) Yumi Iwasaki, Jayant Kalagnanam and Herbert A. Simon 1B SUBJECT TIP RMS.  ...  Qualitative Reasoning Based on Ordinal Relations Qualitative reasoning treats quantities that are scaled only ordinally, hence are defined only up to arbitrary strictly monotonic transformations.  ... 
doi:10.1109/64.79703 fatcat:mosxnttjt5af3eyhm2mqbuxudu

Current Topics in Qualitative Reasoning

Bert Bredeweg, Peter Struss
2004 The AI Magazine  
In this editorial introduction to this special issue of AI Magazine on qualitative reasoning, we briefly discuss the main motivations and characteristics of this branch of AI research.  ...  We also summarize the contributions in this issue and point out challenges for future research.  ...  We thank the authors for providing their contributions and for being patient in dealing with our critical requests.  ... 
doi:10.1609/aimag.v24i4.1727 dblp:journals/aim/BredewegS04 fatcat:xyqruw73prg7fclhvhlizpwsbi

Approximation in Mathematical Domains

Scott Bennett
1987 International Joint Conference on Artificial Intelligence  
The approximation method strongly supports the use of a mix of quantitative and qualitative reasoning over either a purely quantitative or qualitative approach.  ...  This paper discusses how approximations can be used to deal with the intractable domain problem in mathematical domains.  ...  Introduction Explanation-based learning makes use of domain theory to construct an explanation for a single observed example.  ... 
dblp:conf/ijcai/Bennett87 fatcat:sbguu6u5hfb3vdetubcowf5eoy


Elisha P. Sacks, Jon Doyle
1992 Computational intelligence  
The eld has developed several reasoners based on these choices over some fteen years.  ...  Qualitative physics blames this state of a airs on the unforeseen di culty of identifying and automating the general mathematical principles that underlie expert reasoning. 1 We propose a di erent explanation  ...  Needless to say, however, these people do not necessarily share any of the views we express in this paper, and we accept responsibility for any aws in this paper.  ... 
doi:10.1111/j.1467-8640.1992.tb00344.x fatcat:stzejdikhfehrmz4d3b5xwsciq

The impact of students' epistemological framing on a task requiring representational consistency [article]

Alexandru Maries, Shih-Yin Lin, Chandralekha Singh
2020 arXiv   pre-print
that the graphical and mathematical representations trigger.  ...  In this case study, we asked students to construct two representations for the electric field for a situation involving Gauss's law with spherical symmetry (charge conducting sphere surrounded by charged  ...  ACKNOWLEDGEMENTS We thank NSF for award Phy-1505460. [1] L. McDermott, in Toward a Scientific Practice of Science Education, edited by Gardner, J. G. Greeno, F.  ... 
arXiv:2006.16071v1 fatcat:ekt7ikugenbjhjp2p6nmzofrge

The Eleventh International Workshop on Qualitative Reasoning

Liliana Ironi
1998 The AI Magazine  
for uncer- automated modeling and fault diag- memory-based reasoning, and (3) tain systems.  ...  Rogers (all of the Univer- ■ The Eleventh International Workshop tive mathematical modeling in the sity of Colorado) presented a tool that on Qualitative Reasoning  ... 
doi:10.1609/aimag.v19i2.1373 dblp:journals/aim/Ironi98 fatcat:5wgst6pmgfbkvbkh3i2aq77xme

Mathematical aspects of qualitative reasoning

Peter Struss
1988 Artificial Intelligence in Engineering  
the ultimate . reasons for the failures.  ...  Section 3 provides a formal framework for the description of requirements, algorithms, and criteria for qualitative reasoning methods.  ... 
doi:10.1016/0954-1810(88)90032-5 fatcat:2e2d5dyginhgdaqlhfcvuwtivq

Students' Mathematical Critical Thinking Based on Self-Esteem Through Problem Based Learning in Geometry

Krida Singgih Kuncoro, Agustin Zakkia, Fitria Sulistyowati, Betty Kusumaningrum
2021 Southeast Asian Mathematics Education Journal  
This study aims to describe and determine mathematical critical thinking skills based on students' self-esteem. This type of research is a mixed method with a sequential explanatory research design.  ...  Determination of the subjects grouped based on self-esteem with high, medium, and low categories to be interviewed about students' critical thinking skills.  ...  for critical thinking skills generated qualitative data.  ... 
doi:10.46517/seamej.v11i1.122 fatcat:ag6ij2faybbk3jwnt2h4lgc4sy


Herizal Herizal, Marhami Marhami, Mutia Fonna, Rohantizani Rohantizani
Due to the importance of reasoning for teachers, a qualitative descriptive research was conducted to analyze how the reasoning of preservice mathematics teachers in solving critical thinking problem.  ...  The problem measured the skill of manipulating mathematical process; constructing mathematical proof, and drawing conclusion. Their works were analyzed for each indicator of reasoning.  ...  Therefore, the researcher used qualitative method for conducting descriptive research.  ... 
doi:10.30598/barekengvol16iss1pp001-006 fatcat:imo2tzx7praxlkcdmjl3ndndoy

Analysis mathematical literacy skills in terms of the students' metacognition on PISA-CPS model

Ovan, S B Waluya, S E Nugroho
2018 Journal of Physics, Conference Series  
The writer analyzed the data with quantitative and qualitative approaches based on the metacognition of the students in low, medium and high groups.  ...  Based onresult analysis got conclusion that the PISA-CPS model was effective toward the students' mathematical literacy skills (KLM).  ...  toproblem given and the subject representation components was able to give reasons for the object which would be measured and could be observed well.  ... 
doi:10.1088/1742-6596/983/1/012151 fatcat:imqnhuazxzeh5ahy3qpuqj54jq

Mathematical Foundations of Qualitative Reasoning

Louise Travé-Massuyès, Liliana Ironi, Philippe Dague
2004 The AI Magazine  
The article then bridges to quantitative modeling, highlighting the benefits of qualitative reasoning-based approaches in the framework of system identification, and discusses open research issues.  ...  We examine different formalisms for modeling qualitatively physical systems and their associated inferential processes that allow us to derive qualitative predictions from the models.  ...  The article also highlights the need for qualitative reasoning-based approaches in the framework of quantitative modeling to perform quantitative system identification soundly and efficiently.  ... 
doi:10.1609/aimag.v24i4.1733 dblp:journals/aim/Trave-MassuyesID04 fatcat:it7yeu5hf5hnnec64ks5z22t5u


Linda Astriani, Dewi Setiyaningsih, Misriandi Misriandi, Anggi Yuliani
2021 Kalamatika  
The purpose of this study was to develop e-learning based on Moodle to improve students' mathematical communication and self-efficacy and student self-efficacy and describe how to students' mathematic  ...  Overall, the students' mathematical communication skills and self-efficacy of students using E-learning based Moodle is better than those using conventional learning.  ...  ACKNOWLEDGMENTS This research can be carried out properly thanks to the assistance of various parties, for that the researchers would like to thank the Dean of Faculty of Education Muhammadiyah Jakarta  ... 
doi:10.22236/kalamatika.vol6no2.2021pp207-218 fatcat:dfridpw4czc7xdbba5ieotinae

An Application of Qualitative Reasoning to Derive Behavior from Structure of Quantitative Models

Srinivasan Raghunathan
1994 Journal of Management Information Systems  
We illustrate the basic idea behind qualitative reasoning using a mathematical model.  ...  We view qualitative reasoning as an additional tool for the diagnosis of models.  ... 
doi:10.1080/07421222.1994.11518031 fatcat:r5n4ndrdsbf2baf3s4e2vy5o44


Imam Kusmaryono, Hardi Suyitno, Dwijanto Dwijanto, Nurkaromah Dwidayati
2018 Infinity  
The objective of the study was to analyze and provide an interpretation of students abstract reasoning level in cognitive development based on intended learning outcomes.  ...  and then changed qualitatively (relational and extended abstract) because the detail was integrated into a structural pattern.  ...  funds for the implementation of this research.  ... 
doi:10.22460/infinity.v7i2.p69-82 fatcat:dlnofx7a4jg27pfhh5eepkcgsy

Analysis of Student Abilities in Solving Mathematical Problems of National Examination at High School Level

Sumardi S, M. Ikhsan, M. Duskri
2020 International Journal of Academic Research in Business and Social Sciences  
Based on the analysis of test results and interviews, students' reasoning abilities in solving the National Examination are still low.  ...  This type of research is qualitative research. The subjects in this study were Year 12 students of IPA 1 and IPA 3 of 11 students.  ...  One reason for the failure of students in mathematics is because students are unable to use their reasoning well in solving mathematical problems.  ... 
doi:10.6007/ijarbss/v10-i6/7327 fatcat:lvkjk3qzsffftekfqdopi2ot5e
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