NotesFAQContact Us
Collection
Advanced
Search Tips
Back to results
Peer reviewed Peer reviewed
PDF on ERIC Download full text
ERIC Number: EJ1408556
Record Type: Journal
Publication Date: 2023
Pages: 18
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2327-5324
EISSN: EISSN-1941-3394
The Pirie Kieren Dynamic Model of the Growth of Mathematical Understanding: The Critical Concept of Folding Back
Jeff Irvine
Journal of Instructional Pedagogies, v29 2023
The Pirie-Kieren Model (PKM) was a paradigm shift in theories of learning by presenting a coherent, consistent theory compatible with complexity theory. PKM recognized that learning is non-linear, recursive, iterative, and emergent. PKM was one of the first theories to depart from the linear models of learning that dominated theories of learning prior to PKM. One of the critical concepts in PKM is folding back. This paper considers implications from PKM: Implications for practice and implications for theory. For practice, PKM has implications for both instruction and for assessment. Teachers need to be given theories of teaching that are congruent with PKM's non-linear and recursive model of learning. Teachers need such theories of teaching to recognize the elements of PKM such as non-linearity, recursiveness, iterations, and emergence. For assessment, since one of the implications of PKM is that each student will typically be at different points in their learning at any particular time, mass norm-referenced or criterion-based assessments are clearly inappropriate, and other assessment models, such as ipsative assessment, need to be implemented for appropriate assessment of learning.
Academic and Business Research Institute. 147 Medjool Trail, Ponte Vedra, FL 32081. Tel: 904-435-4330; e-mail: editorial.staff@aabri.com; Web site: http://www.aabri.com
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A