The fundamental cycle of concept construction underlying various theoretical frameworks

By Jack Pegg, David Tall. 2005

78 citations recorded by the source corpus.

Subfields: Developmental and Educational Psychology, Education, Experimental and Cognitive Psychology

View Paper: https://www.semanticscholar.org/paper/846681aa6beeb472c3fefd248a01c729cee06f23

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Developmental and Educational Psychology

1. T. Fujita
2. G. Philippou
3. David Tall
4. Keith Jones
5. Marilena Pantziara
6. Eva Jablonka

In Education

1. T. Fujita
2. Keith Jones
3. G. Philippou
4. Marilena Pantziara
5. David Tall
6. Mikio Miyazaki
7. Eddie M. Gray
8. Eva Jablonka

In Experimental and Cognitive Psychology

1. G. Philippou
2. David Tall
3. Keith Jones
4. Marilena Pantziara

Citations in the corpus

• Students’ understanding of the structure of deductive proof (2016, background): “With theories of local developmental processes, Pegg and Tall (2010) suggest, learners start by recognising elements of a concept, then relationships between them, and finally they understand the concept as a whole.”
• Levels of students’ “conception” of fractions (2012, background): “The main core in these frameworks is essentially similar and can be related to Piaget’s notion of “reflective abstraction”, in which actions on known objects become interiorized as processes and then encapsulated as mental objects of thought ( Pegg & Tall, 2005 ).”
• The transition to formal thinking in mathematics (2008, methodology): “…procedures, Gray, Pitta, Pinto & Tall (1999) represented the successive compression from procedure through multi-procedure, process and procept, expanded in figure 3 to correspond to the SOLO taxonomy sequence: unistructural, multistructural , relational, extended abstract, (Pegg & Tall, 2005).”
• Abstraction as a natural process of mental compression (2007, background): “Within each mode there were cycles of performance—unistructural, multistructural , relational, extended abstract—which Pegg & Tall (2005) related to cycles of concept construction, dealing with one aspect, several separate aspects, related aspects, then the whole idea.”