Research Publications:  link to mathscinet  link to SPIRES/SLAC

Preprints and reprints below are pdf files:


MATHEMATICS AND PHYSICS PUBLICATIONS
Superluminal velocities in Schwarzschild-de Sitter space (with Peter Collas) submitted for publication (2009) arXiv:0910.5254

Exact Fermi coordinates for anti-de Sitter and other spacetimes (with Peter Collas) submitted for publication (2009) arXiv:0905.1367v1 [gr-qc]

Timelike Killing Fields and Relativistic Statistical Mechanics  (with  Peter Collas) Classical and Quantum Gravity, Vol. 26,  no. 4, 045018 (16 pp) (2009)  Online at stacks.iop.org/CQG/26/045018,  DOI:10.1088/0264-9381/26/4/045018 [gr-qc] arXiv:0810.1776v2,   Preprint

General Transformation Formulas for Fermi-Walker Coordinates (with  Peter Collas) Classical and Quantum Gravity, Vol. 25, no. 14, 145019 (17pp) (2008) DOI: 10.1088/0264-9381/25/14/145019, [gr-qc] arxiv.org/abs/0712.3838v4

A Statistical Mechanical Problem in Schwarzschild Spacetime, (with Peter Collas) General Relativity and Gravitation Vol. 39, no. 5, p. 737-755 (2007) Preprint DOI: 10.1007/s10714-007-0416-4

Causality Violating Geodesics in Bonnor's Rotating Dust Metric, (with Peter Collas)  General Relativity and Gravitation, Vol. 36, no. 11, p. 2549-2557 (2004) Preprint

A Simple Criterion for Nonrotating Reference Frames, (with Peter Collas) General Relativity and Gravitation, Vol. 36, no. 6, p. 1493-1499  (2004). Preprint

Frame Dragging Anomalies for Rotating Bodies (with Peter Collas) General Relativity and Gravitation, Vol. 36,  5, p. 1197-1206 (2004) Preprint, updated: arxiv.org/abs/0811.2471

Analyticity of the free energy of the Ising model on the hierarchical modified Koch curve,  (with Leonid Malozemov, Ramin Vakilian) Far East Journal for Dynamical Systems Vol. 2, p. 21-39 (2000).

An "FKG Equality " with Applications to Random Environments, (with Wei-Shih Yang) Statistics and Probability Letters, Vol. 46, p. 203-209 (2000)

Convergence of Hamiltonian Systems to Billiards, (with Peter Collas and Hans-Peter Schwebler)  Chaos. An Interdisciplinary Journal of Nonlinear Science, Vol. 8, p. 466-474 (1998)

An Ergodic Adding Machine on the Cantor Set, (with Peter Collas) L'Enseignement Mathematique, Vol. 40, p.249-266 (1994). Preprint

A Generalization of Poisson Convergence to 'Gibbs Convergence' with Applications to Statistical Mechanics, (with Lincoln Chayes) Helvetica Physica Acta, Vol.  67  p.30-42 (1994). Preprint

Characterization of First Order Phase Transitions for Superstable Interactions in Classical Statistical Mechanics, (with Wei-Shih Yang) This Extended Version (pdf file) includes more details of proofs than the published version in the Journal of Statistical Physics, Vol. 71 p. 1043-1061 (1993).

Absence of First Order Phase Transitions for Antiferromagnetic Systems, (with Wei-Shih Yang) Journal of Statistical Physics, Vol. 70  p. 1391-1400 (1993).

Classical Antiferromagnets: Correlation Inequalities and Remarks on the Phase Diagram, (with Wei-Shih Yang) Proceedings of the Conference on Probability Models in Mathematical Physics, (Colorado Springs 1990) World Scientific Publishing Co. (1991).

Low Temperature Smoothness of the Pressure for Antiferromagnets and Other Models, (with Wei-Shih Yang) Journal of Mathematical Physics, Vol. 32, p. 2181-2185 (1991). Preprint

Some Correlation Inequalities for Ising Antiferromagnets, (with Wei-Shih Yang) Journal of Statistical Physics,  Vol. 57, p. 1049-1058 (1989). Preprint

Self-Repelling Processes Associated with Brownian Motions, (with Wei-Shih Yang) Journal of Functional Analysis, Vol. 84, p.322-342 (1989).

Phase Transition for a One-Dimensional Lattice Gas with Hard-Core, (with Wei-Shih Yang) Journal of Statistical Physics, Vol. 52, p. 735-745 (1988).

A Note on the Critical Dimension for Weakly Self-Avoiding Walks, (with Wei-Shih Yang) Probability Theory and Related Fields, Vol. 79, p. 99-114 (1988).

Absence of Phase Transitions for Continuum Models of Dimension  d > 1, (with Wei-Shih Yang)  Journal of Mathematical Physics, Vol. 29, p. 1130-1133 (1988).

A Class of Continuum Models with no Phase Transitions, Journal of Mathematical Physics, Vol. 27, p. 2872-2875 (1986).

Uniqueness of Continuum One-dimensional Gibbs States for Slowly Decaying Interactions, Journal of Statistical Physics, Vol. 43 no.s 1/2 p. 207-218 (1986).

Uniqueness of One-Dimensional Continuum Gibbs States, Communications in Mathematical Physics, Vol. 97, p. 595-604 (1985).

Convergence of Grand Canonical Gibbs Measures, Communications in Mathematical Physics, Vol. 92, p. 295-308 (1984).

Dobrushin Uniqueness Techniques and the Decay of Correlations in Continuum Statistical Mechanics,  Communications in Mathematical Physics, Vol. 86, p. 227-246 (1982).

HISTORY OF MATHEMATICS EDUCATION PUBLICATIONS

A quarter century of US 'math wars' and political partisanship, (c) Taylor & Francis, 2007. This is the author's version of the work. It is posted here by permission of Taylor & Francis for personal use, not for redistribution. The definitive version was published in BSHM Bulletin: Journal of the British Society for the History of Mathematics, Volume 22 Issue 1, p. 22-33, January 2007 doi:10.1080/17498430601148762 (http://dx.doi.org/10.1080/17498430601148762)The BSHM Bulletin is available online at: http://www.tandf.co.uk/journals/titles/17498430.asp


A Brief History of American K-12 Mathematics Education in the 20th Century, preprint, Chapter 7 of Mathematical Cognition: A Volume in Current Perspectives on Cognition, Learning, and Instruction, p. 175-225. Edited by James Royer, Information Age Publishing, 2003


What's at Stake in the K-12 Standards Wars: A Primer for Educational Policy Makers, Sandra Stotsky (editor), Peter Lang Press, Chapter 13:National Science Foundation Systemic Initiatives:How a small amount of federal money promotes ill-designed mathematics and science programs in K-12 and undermines local control of educationby Mike McKeown, David Klein, and Chris Patterson, 2000


Book Review:  Angela Lynn Evans Walmsley, A history of mathematics education during the twentieth century, University Press of America, Inc., 2007; Reviewed in: BSHM Bulletin: Journal of the British Society for the History of Mathematics, Volume 24 pp 59-61 (2009)


MATHEMATICS TEACHER EDUCATION BOOK CHAPTERS


Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 5 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 419-550, April, 2006

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 4 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 349-454, December, 2005

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 3 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 277-370, August, 2005

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 2 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 335-408, April 2005

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade 1 Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 259-316, December 2004

Contributing Editor and Contributing Writer, Mathematics Chapter, In: Core Knowlege Grade K Teacher Handbook, Core Knowledge Foundation, Charlottesville, Virginia pp 215-262, October 2004

EVALUATION OF STATE K-12 MATHEMATICS STANDARDS

The State of State Math Standards 2005, by David Klein
with Bastiaan J. Braams, Thomas Parker, William Quirk, Wilfried Schmid, and W. Stephen Wilson
Technical assistance from Ralph A. Raimi and Lawrence Braden
Analysis by Justin Torres
Foreword by Chester E. Finn, Jr.
Commissioned by the Fordham Foundation


What's at Stake in the K-12 Standards Wars: A Primer for Educational Policy Makers, Sandra Stotsky (editor), Peter Lang Press, Chapter 3: Standards-Based Mathematics Assessments: Appearances May be Deceiving, by Paul Clopton, Wayne Bishop, and David Klein, 2000


More articles on mathematics education appear on David Klein's homepage