Gerald Goldin | Academic Influence

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Gerald Goldin

Mathematics

#6522

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#9011

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Measure Theory

#2720

World Rank

#3249

Historical Rank

mathematics Degrees

Gerald Goldin

Computer Science

#9748

World Rank

#10226

Historical Rank

computer-science Degrees

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Mathematics
Computer Science

Gerald Goldin's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Gerald Goldin Influential?

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According to Wikipedia, Gerald Goldin is currently a distinguished professor at Rutgers University. He is part of three divisions at Rutgers University: Department of Learning and Teaching, Department of Mathematics, and Department of Physics.

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Gerald Goldin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Affect and Meta-Affect in Mathematical Problem Solving: a Representational Perspective (2006) (352)
A Scientific Perspective on Structured, Task-Based Interviews in Mathematics Education Research (2000) (314)
Theories of Mathematical Learning (1996) (295)
Representational systems, learning, and problem solving in mathematics (1998) (288)
Affect, Meta-Affect, and Mathematical Belief Structures (2002) (239)
Affective Pathways and Representation in Mathematical Problem Solving (2000) (192)
Representations of a local current algebra in nonsimply connected space and the Aharonov–Bohm effect (1981) (186)
On a general nonlinear Schrödinger equation admitting diffusion currents (1992) (177)
A Joint Perspective on the Idea of Representation in Learning and Doing Mathematics (2013) (159)
Beliefs and engagement structures: behind the affective dimension of mathematical learning (2011) (138)
Attitudes, beliefs, motivation and identity in mathematics education : an overview of the field and future directions (2016) (118)
Particle statistics from induced representations of a local current group (1980) (117)
Perspectives on representation in mathematical learning and problem solving (2008) (111)
Beliefs – No Longer a Hidden Variable in Mathematical Teaching and Learning Processes (2009) (107)
Properties of nonlinear Schrodinger equations associated with diffeomorphism group representations (1994) (106)
Task variables in mathematical problem solving (1981) (99)
Chapter 4: Observing Mathematical Problem Solving through Task-Based Interviews (1997) (96)
Nonrelativistic current algebra in the N / V limit (1974) (92)
Nonrelativistic Current Algebras as Unitary Representations of Groups (1971) (85)
Children’s representation and structural development of the counting sequence 1–100 (2002) (66)
Representations and the psychology of mathematics education (1998) (65)
Aspects of Radical Constructivism and its Educational Recommendations (65)
Gauge transformations in quantum mechanics and the unification of nonlinear Schrödinger equations (1997) (63)
Diffeomorphism groups, gauge groups, and quantum theory (1983) (60)
Attitudes, Beliefs, Motivation, and Identity in Mathematics Education (2016) (56)
Perspectives on Emotion in Mathematical Engagement, Learning, and Problem Solving (2014) (55)
Developing complex understandings: On the relation of mathematics education research to mathematics (2003) (54)
Variables Affecting Word Problem Difficulty in Secondary School Mathematics. (1979) (43)
Problem Solving Heuristics, Affect, and Discrete Mathematics (2004) (42)
Students’ expression of affect in an inner-city simcalc classroom (2008) (39)
LECTURES ON DIFFEOMORPHISM GROUPS IN QUANTUM PHYSICS (2004) (32)
The Affective Domain and Students’ Mathematical Inventiveness (2009) (30)
Lie algebras of local currents and their representations (1970) (30)
Rotation generators in two-dimensional space and particles obeying unusual statistics (1983) (30)
On the Fock space for nonrelativistic anyon fields and braided tensor products (2003) (29)
Chapter 3: Epistemology, Constructivism, and Discovery Learning in Mathematics (1990) (27)
THE DIFFEOMORPHISM GROUP APPROACH TO NONLINEAR QUANTUM SYSTEMS (1992) (27)
Meta-Analysis of Problem-Solving Studies: A Critical Response (1992) (26)
Mathematical Representations (2020) (26)
Group Representations in Mathematics and Physics (1970) (23)
On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics (2000) (22)
Mathematical creativity and giftedness: perspectives in response (2017) (20)
Nonlinear Schrödinger equations and the separation property (1994) (19)
The PME Working Group on Representations (1998) (18)
Induced representations of the group of diffeomorphisms of R3 (1983) (17)
A FAMILY OF NONLINEAR SCHRÖDINGER EQUATIONS: LINEARIZING TRANSFORMATIONS AND RESULTING STRUCTURE (1995) (17)
Particle spin from representations of the diffeomorphism group (1983) (16)
THE DIFFEOMORPHISM GROUP APPROACH TO ANYONS (1991) (16)
Counting on the metaphorical (2001) (16)
Representations and the psychology of mathematics education: Part II (1998) (16)
Affective Pathways and Structures in Urban Student ' s Mathematical Learning (2007) (16)
Generalizations of Yang–Mills theory with nonlinear constitutive equations (2004) (13)
Discrete Mathematics and the Affective Dimension of Mathematical Learning and Engagement (2018) (13)
The Complexity of Affect in an Urban Mathematics Classroom (2007) (12)
Problem Solving Heuristics, Affect, and Discrete Mathematics: A Representational Discussion (2010) (11)
Gauge Transformations for a Family of Nonlinear Schrödinger Equations (1997) (10)
Toward an Assessment Framework for School Mathematics (1992) (10)
Diffeomorphism Groups And Local Symmetries: Some Applications In Quantum Physics (1989) (9)
Local currents for a deformed algebra of quantum mechanics with a fundamental length scale (2005) (7)
Quantum-mechanical representations of the group of diffeomorphisms and local current algebra describing tightly bound composite particles (1985) (7)
Quantum phase transitions from a new class of representations of a diffeomorphism group (1995) (6)
On gauge transformations of Bäcklund type and higher order nonlinear Schrödinger equations (2002) (6)
Motivating Desires for Classroom Engagement in the Learning of Mathematics (2017) (6)
Nonlinear quantum mechanics: Results and open questions (2008) (6)
WRITING HAMILTONIANS IN TERMS OF LOCAL CURRENTS. (1972) (6)
Perspectives on Nonlinearity in Quantum Theory (2000) (5)
Predicting “Anyons”: The Origins of Fractional Statistics in Two-Dimensional Space (1991) (5)
Problem Structure And Problem Solving Behavior (1975) (5)
0 Perspectives on Nonlinearity in Quantum Mechanics (2000) (5)
Children's representation of the counting sequence 1-100: study and theoretical interpretation (1994) (5)
Group Representations in Mathematics and Physics: Battelle Seattle 1969 Rencontres (1970) (5)
Quantum Kinematics of Bosonic Vortex Loops (1999) (4)
Measuring engagement structures in middle-grades urban mathematics classrooms (2010) (4)
On unusual statistics and quantum point vortices (1987) (4)
Quantization, coherent states and diffeomorphism groups (1991) (4)
Theory & Methods: Partition‐based Goodness‐of‐fit Tests on the Line and the Circle (2001) (4)
Nonlinear and Noncommutative Mathematics: New Developments and Applications in Quantum Physics (2010) (4)
Diffeomorphism groups, coadjoint orbits, and the quantization of classical fluids (1987) (4)
Local Current Algebras: Early Ideas and New Quantum-Theoretical Directions (2006) (4)
Diffeomorphism groups and nonlinear quantum mechanics (2012) (3)
Mesothelioma: An unwarranted causal model. (1996) (3)
Worldsheet instantons and a null string limit of Born–Infeld theory (2007) (3)
Chapter 5: Exploring a Conative Perspective on Mathematical Engagement (2019) (3)
Nonlinear Quantum Mechanics, the Separation Property, and a Stochastic Alternative to Certain Nonlinear Schrödinger Equations (1994) (3)
NONLINEAR SCHRÖDINGER EQUATIONS FOR PARTICLES AND ANTIPARTICLES (2004) (3)
FUNCTIONAL DIFFERENTIAL EQUATIONS DETERMINING REPRESENTATIONS OF LOCAL CURRENT ALGEBRAS. (1971) (3)
Quantized vortex filaments in incompressible fluids (1987) (3)
Conformal Inversion and Maxwell Field Invariants in Four- and Six-dimensional Spacetimes (2013) (3)
Generalizations of nonlinear and supersymmetric classical electrodynamics (2007) (3)
In memoriam: Robert B. Davis (1998) (2)
Diffeomorphism Groups and Quantum Configurations (2005) (2)
Children's representations of the counting sequence 1-100: development of new cognitive structures (1996) (2)
Diffeomorphism Groups and Anyon Fields (1995) (2)
Conformal Symmetry Transformations and Nonlinear Maxwell Equations (2017) (2)
Can Science Education Cope with the Information Onslaught (1984) (2)
Quantum vortex configurations (1996) (2)
DIFFEOMORPHISM GROUPS, QUASI-INVARIANT MEASURES, AND INFINITE QUANTUM SYSTEMS (1995) (2)
Generalized Gauge Invariants for Certain Nonlinear Schrodinger Equations (2000) (2)
Aspects of Affect and Mathematical Modeling Processes * (2020) (2)
DIFFEOMORPHISM GROUP REPRESENTATIONS AND NONLINEAR QUANTUM THEORIES (1995) (2)
Introspection and Inference: On Self-Reports as Empirical Evidence (2005) (2)
CONFIGURATION SPACES FOR SELF-SIMILAR RANDOM PROCESSES, AND MEASURES QUASI-INVARIANT UNDER DIFFEOMORPHISM GROUPS (2000) (2)
Generalization of the kolmogorov-smirnov goodness-of-fit test, usinggroup invariance (1992) (2)
An Overview of the Field and Future Directions (2016) (1)
The Prediction of Anyons: Its History and Wider Implications (2022) (1)
Quantum Configuration Spaces of Extended Objects, Diffeomorphism Group Representations and Exotic Statistics (2013) (1)
Performance Difficulties Reported by First-Year Public School Science and Mathematics Teachers in Illinois. (1983) (1)
Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (11th, New Brunswick, New Jersey, September 20-23, 1989), Volume 1: Research Reports. (1989) (1)
ANALYZING PROSPECTIVE TEACHERS’ MOTIVATING DESIRES DURING MATHEMATICAL PROBLEM SOLVING (2018) (1)
Lagrangian and non‐Lagrangian approaches to electrodynamics including supersymmetry (2007) (1)
Artificial Intelligence Models for Human Problem-Solving. (1973) (1)
On Lagrangian and non-Lagrangian conformal-invariant nonlinear electrodynamics (2019) (1)
Diffeomorphism Group Representations in Relativistic Quantum Field Theory (2019) (1)
Some Comments on Indistinguishable Particles and Interpretation of the Quantum Mechanical Wave Function (2016) (0)
Commentary on Symbols and Mediation in Mathematics Education (2010) (0)
QUANTIZATION ON COADJOINT ORBITS OF DIFFEOMORPHISM GROUPS: SOME RESEARCH DIRECTIONS (1993) (0)
Primary Field (2014) (0)
XXIV Workshop on Geometric Methods in Physics, Bialowieza, Poland, June 26 - July 2, 2005, Proceedings Special issue of the Journal of Geometry and Symmetry in Physics, containting vol. 5 and 6 (2006) (0)
Local Currents for a Deformed Heisenberg–Poincaré Lie Algebra of Quantum Mechanics, and Anyon Statistics (2008) (0)
Commentary on “The articulation of symbol and mediation in mathematics education” by Moreno-Armella and Sriraman (2006) (0)
Diffeomorphism Groups in Quantum Theory and Statistical Physics (2020) (0)
Local currents for a stable algebra of quantum mechanics (2005) (0)
In Memory of S. Twareque Ali (2019) (0)
Thinking scientifically and thinking mathematically: A discussion of the paper by Heller and Hungate (2013) (0)
20 PERSPECTIVES ON EMOTION IN MATHEMATICAL ENGAGEMENT , LEARNING , AND PROBLEM SOLVING (2014) (0)
AUSTRALIA'S MAGIC MUSHROOMS (1999) (0)
[Not Available]. (1970) (0)
NSF Graduate Research Fellowships: A Missed Opportunity (2002) (0)
Diffeomorphism Group Representations in Nonrelativistic and Relativistic Quantum Theory: Some Future Directions (2019) (0)
MEASURES ON SPACES OF INFINITE-DIMENSIONAL CONFIGURATIONS, GROUP REPRESENTATIONS, AND STATISTICAL PHYSICS (2004) (0)
Counting on the Metaphorical (2002) (0)
Theory of Mathematics Education: The Contributions of Constructivism (2013) (0)
Diffeomorphism group representation and quantum phase transition in one dimension (1995) (0)
Historical and epistemological aspects of group theory in physics: An interlude (2003) (0)
Proceedings of the Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (11th, New Brunswick, New Jersey, September 20-23, 1989), Volume 2: Plenary Lectures and Symposia. (1989) (0)
Some Variations on Maxwell’s Equations (2006) (0)
Preface to Part XIII (2010) (0)
Nonlinear extension of quantum mechanics: Remarks and recent results (2003) (0)
Mathematical creativity and giftedness: perspectives in response (2017) (0)
Preliminary version Characterization of canonical marked Gibbs measures (2006) (0)
HARMONIC POLYNOMIALS ON THE POINCAR(cid:201) DODECAHEDRAL THREE-MANIFOLD (2006) (0)

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