A New Logic of Linear Discriminant Analysis Applicable to Education--Instructional Design in a Fuzzy Educational Environment--
Summary :
In instructional design, designers (or teachers) choose an optimum educational media (or educational system) adaptive to the learners' abilities. Although instructional design has been recognized as one of the important teachers' activities thus far, they left most of it to their individual subjectives. In order to perform the design in an objective way, a new mathematical method is proposed here to discriminate if the concerned educational system will be effective to learners on not. It is based on the use of linear discriminant analysis. However, when we apply it to the discrimination on education, the conventional method is not always appropriate to the field of education because many educational events are fuzzy, thus it requires refinement. From the point that the author regards the fuzziness proper to education, in order to aid teachers' instructional designing in an objective way, this paper presents a new logic which fixes linear discriminant function, the equations of error probability and Maharanobis' Generalized Distance considering the fuzziness.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E64-E No.11 pp.693-699
- Publication Date
- 1981/11/25
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- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Miscellaneous
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Ikuo KITAGAKI, "A New Logic of Linear Discriminant Analysis Applicable to Education--Instructional Design in a Fuzzy Educational Environment--" in IEICE TRANSACTIONS on transactions,
vol. E64-E, no. 11, pp. 693-699, November 1981, doi: .
Abstract: In instructional design, designers (or teachers) choose an optimum educational media (or educational system) adaptive to the learners' abilities. Although instructional design has been recognized as one of the important teachers' activities thus far, they left most of it to their individual subjectives. In order to perform the design in an objective way, a new mathematical method is proposed here to discriminate if the concerned educational system will be effective to learners on not. It is based on the use of linear discriminant analysis. However, when we apply it to the discrimination on education, the conventional method is not always appropriate to the field of education because many educational events are fuzzy, thus it requires refinement. From the point that the author regards the fuzziness proper to education, in order to aid teachers' instructional designing in an objective way, this paper presents a new logic which fixes linear discriminant function, the equations of error probability and Maharanobis' Generalized Distance considering the fuzziness.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e64-e_11_693/_p
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@ARTICLE{e64-e_11_693,
author={Ikuo KITAGAKI, },
journal={IEICE TRANSACTIONS on transactions},
title={A New Logic of Linear Discriminant Analysis Applicable to Education--Instructional Design in a Fuzzy Educational Environment--},
year={1981},
volume={E64-E},
number={11},
pages={693-699},
abstract={In instructional design, designers (or teachers) choose an optimum educational media (or educational system) adaptive to the learners' abilities. Although instructional design has been recognized as one of the important teachers' activities thus far, they left most of it to their individual subjectives. In order to perform the design in an objective way, a new mathematical method is proposed here to discriminate if the concerned educational system will be effective to learners on not. It is based on the use of linear discriminant analysis. However, when we apply it to the discrimination on education, the conventional method is not always appropriate to the field of education because many educational events are fuzzy, thus it requires refinement. From the point that the author regards the fuzziness proper to education, in order to aid teachers' instructional designing in an objective way, this paper presents a new logic which fixes linear discriminant function, the equations of error probability and Maharanobis' Generalized Distance considering the fuzziness.},
keywords={},
doi={},
ISSN={},
month={November},}
Copy
TY - JOUR
TI - A New Logic of Linear Discriminant Analysis Applicable to Education--Instructional Design in a Fuzzy Educational Environment--
T2 - IEICE TRANSACTIONS on transactions
SP - 693
EP - 699
AU - Ikuo KITAGAKI
PY - 1981
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E64-E
IS - 11
JA - IEICE TRANSACTIONS on transactions
Y1 - November 1981
AB - In instructional design, designers (or teachers) choose an optimum educational media (or educational system) adaptive to the learners' abilities. Although instructional design has been recognized as one of the important teachers' activities thus far, they left most of it to their individual subjectives. In order to perform the design in an objective way, a new mathematical method is proposed here to discriminate if the concerned educational system will be effective to learners on not. It is based on the use of linear discriminant analysis. However, when we apply it to the discrimination on education, the conventional method is not always appropriate to the field of education because many educational events are fuzzy, thus it requires refinement. From the point that the author regards the fuzziness proper to education, in order to aid teachers' instructional designing in an objective way, this paper presents a new logic which fixes linear discriminant function, the equations of error probability and Maharanobis' Generalized Distance considering the fuzziness.
ER -
English
