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Title: A Four-Stage Model of Mathematical Learning
Url: http://faculty.etsu.edu/knisleyj/calculus/learn.htm
Creator: Knisley, Jeff
Publisher: East Tennessee State University
Description: By Jeff Knisley of East Tennessee State University, this 2002 article outlines Knisley's own model of mathematical learning based on his own research and observation in hopes that it will be used "to guide the development of curricular and instructional reform." Knisley believes that each of us passes through four stages of understanding as we acquire new knowledge: Allegorization, Integration, Analysis, and Synthesis. Each stage is discussed, with examples, in detail. In addition, Knisley delves into the roles of both teachers and technology in these stages. The article is rounded out by a thorough bibliography for further investigation. This is a helpful resource for mathematics educators to understand how their students process and make meaning out of new material in the classroom.
LC Classification: Education -- Theory and practice of education -- Educational psychology -- Learning
Science -- Mathematics -- Study and teaching. Research
GEM Subject: Mathematics
Mathematics -- Instructional issues
Key Concept: Mathematics
Key Concepts Complete: Yes
Date Issued: 2002
Resource Type: Mathematics Materials
Reading Materials
Format: html
Audience: College/University Instructors
Higher Education
Policy-Makers
Professional Formation
Secondary Education
Teachers
Teaching Professionals
Language: English
Access Rights: Free access
Date Of Record Release: 2008-09-08 03:00:01 (W3C-DTF)
Date Last Modified: 2008-09-05 10:54:29 (W3C-DTF)
Source: AMATYC
Full Record Views: 77
Resource URL Clicks: 12
Cumulative Rating: NOT YET RATED
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