David Tall

Education · 2000–2025

A researcher in the Science corpus: 17 papers; trusts 16 researchers and is trusted by 23 researchers here, as inferred from the citation graph.

Subfields

• Education — 37 citations into it; #1,186 of 11,309 by trust here, #2,726 by citations
• Cognitive Science & Psychology — 16 citations into it
• Theoretical Computer Science — 12 citations into it
• Statistics and Probability — 11 citations into it; #2,689 of 12,932 by trust here, #3,893 by citations
• Developmental and Educational Psychology — 9 citations into it
• Experimental and Cognitive Psychology — 5 citations into it

Whom David Tall trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. George Lakoff
2. Ed Dubinsky
3. Jack Pegg
4. Rafael E. Núñez
5. Joëlle Vlassis
6. Keith Weber
7. Eddie M. Gray
8. M. Rodd
9. Michael A. McDonald
10. Allan Paivio

Who trusts David Tall overall

1. Sepideh Stewart
2. Michael O. J. Thomas
3. Rosana Nogueira de Lima
4. Piotr Błaszczyk
5. Mikhail G. Katz
6. Jack Pegg
7. Johan Lithner
8. M. Mitchelmore
9. K.P.E. Gravemeijer
10. Xenia Vamvakoussi

Papers from David Tall's perspective

Ordered by how strongly the researchers David Tall trusts endorse each paper. Same corpus, a different order for every researcher.

1. Where Mathematics Comes From
2. Where mathematics comes from : how the embodied mind brings mathematics into being
3. APOS: A Constructivist Theory of Learning in Undergraduate Mathematics Education Research
4. Reflective Abstraction in Advanced Mathematical Thinking
5. Consciousness : how matter becomes imagination
6. Natural and Formal Infinities
7. Designing learning environments for developing understanding of geometry and space
8. Principles of Categorization
9. Proof schemes and learning strategies of above-average mathematics students
10. Advanced Mathematical-Thinking at Any Age: Its Nature and Its Development

Their papers

• The Psychology of Advanced Mathematical Thinking (2002) — 280 citations
• The transition to formal thinking in mathematics (2008) — 318 citations
• Objects, actions, and images: a perspective on early number development (2000) — 61 citations
• Algebraic Number Theory and Fermat's Last Theorem (2025) — 175 citations
• Professional development through lesson study: teaching the derivative using GeoGebra (2015) — 75 citations
• How Humans Learn to Think Mathematically: Exploring the Three Worlds of Mathematics (2013) — 137 citations
• Cognitive Development of Proof (2011) — 57 citations
• Metaphor or Met-Before? The effects of previouos experience on practice and theory of learning mathematics (2010) — 73 citations
• Procedural embodiment and magic in linear equations (2008) — 111 citations
• Abstraction as a natural process of mental compression (2007) — 103 citations
• The fundamental cycle of concept construction underlying various theoretical frameworks (2005) — 78 citations
• Building Theories: The Three Worlds of Mathematics. (2004) — 102 citations
• Introducing Three Worlds of Mathematics (2004) — 53 citations
• Relationships between embodied objects and symbolic procepts: an explanatory theory of success and failure in mathematics (2004) — 79 citations
• THINKING THROUGH THREE WORLDS OF MATHEMATICS (2004) — 208 citations
• Building Formal Mathematics on Visual Imagery: A Case Study and a Theory. (2002) — 91 citations
• Natural and Formal Infinities (2001) — 93 citations