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Guershon Harel
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Title:
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Intellectual Need and Its Role in Mathematics 
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Instruction: Focus on Linear Algebra
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Abstract:
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The notion of intellectual need is inextricably 
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linked to the notion of epistemological 
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justification. Generally speaking, 
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epistemological justification refers to the 
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learner[fffd]s discernment of how and why a particular 
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piece of knowledge came to be. It involves the 
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learner[fffd]s perceived cause for the birth of 
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knowledge. The perceived cause is a problematic 
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situation whose resolution for the learner has 
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necessitated for her or him the creation of a new 
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knowledge. Such a situation is called 
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intellectual need. Most students, even those who 
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desire to succeed in school, are intellectually 
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aimless in mathematics classes because their 
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teachers fail to help them realize an 
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intellectual need for what they intent to teach 
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them. In this talk I will discuss the role these 
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two constructs should play in mathematics 
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instruction, focusing mainly on the learning and teaching of linear algebra.
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