A practical approach to inquiry-based learning in linear algebra
Linear algebra has become one of the most useful fields of mathematics since last decade, yet students still have trouble seeing the connection between some of the abstract concepts and real-world applications. In this article, we propose the use of thought-provoking questions in lesson designs to a...
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| Published in | International journal of mathematical education in science and technology Vol. 42; no. 2; pp. 245 - 259 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
London
Taylor & Francis Group
01.03.2011
Taylor & Francis, Ltd Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
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| Abstract | Linear algebra has become one of the most useful fields of mathematics since last decade, yet students still have trouble seeing the connection between some of the abstract concepts and real-world applications. In this article, we propose the use of thought-provoking questions in lesson designs to allow two-way communications between instructors and students as well as the use of simple applications to motivate learning and keep students engaged. An illustrative lesson for learning matrix multiplication and a lesson for understanding the practical meaning of orthogonal projection that are motivated by applications in image processing are presented along with a ready-to-use MATLAB code for completeness. |
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| AbstractList | Linear algebra has become one of the most useful fields of mathematics since last decade, yet students still have trouble seeing the connection between some of the abstract concepts and real-world applications. In this article, we propose the use of thought-provoking questions in lesson designs to allow two-way communications between instructors and students as well as the use of simple applications to motivate learning and keep students engaged. An illustrative lesson for learning matrix multiplication and a lesson for understanding the practical meaning of orthogonal projection that are motivated by applications in image processing are presented along with a ready-to-use MATLAB code for completeness. (Contains 8 figures.) Linear algebra has become one of the most useful fields of mathematics since last decade, yet students still have trouble seeing the connection between some of the abstract concepts and real-world applications. In this article, we propose the use of thought-provoking questions in lesson designs to allow two-way communications between instructors and students as well as the use of simple applications to motivate learning and keep students engaged. An illustrative lesson for learning matrix multiplication and a lesson for understanding the practical meaning of orthogonal projection that are motivated by applications in image processing are presented along with a ready-to-use MATLAB code for completeness. |
| Audience | Higher Education |
| Author | Chang, J.-M. |
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| Cites_doi | 10.2307/2686426 10.1007/978-3-662-41906-9 10.1007/0-306-47231-7_24 10.2307/2687464 10.2307/2686430 10.2307/2589401 |
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| SubjectTerms | Algebra applications Classroom Communication College Mathematics college-level feature extraction image processing Inquiry Inquiry method inquiry-based learning Linear algebra Mathematical Logic Mathematics Instruction Matrices matrix multiplications orthogonal projection Relevance (Education) Student Motivation Teacher Student Relationship Teaching Methods |
| Title | A practical approach to inquiry-based learning in linear algebra |
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