Department of Mathematical Sciences
Technical Reports
2009
#24/2009 Johnathan M. Bardsley & John Goldes
A Computational Framework for Total Variation-Regularized Positron Emission Tomography

#23/2009 Safure Bulut, Bekir Gur & Bharath Sriraman
Mathematics Achievement and Gender: A Case of "No Difference" from Turkey

#22/2009 Bharath Sriraman, Matt Roscoe & Lyn English
Politicizing Mathematics Education: Has Politics gone too far? Or not far enough?

#21/2009 Bharath Sriraman & Nick Haverhals
Lakatos-Hersh-Ernest: Triangulating Philosophy-Mathematics-Mathematics Education

#20/2009 Bharath Sriraman, Hillary VanSpronsen & Nick Haverhals
On Proof and Certainty- Some Educational Implications

#19/2009 Bharath Sriraman & Harry Adrian
The existential void in learning: Juxtaposing mathematics and literature

#18/2009 Bharath Sriraman & Olof Steinthorsdottir
Social justice and mathematics education: Issues, Dilemmas, Excellence and Equity

#17/2009 Lyn English & Bharath Sriraman
Problem solving for the 21st century

#16/2009: Brian Greer, Paul Ernest, Bharath Sriraman
Agency in Mathematics Education

#15/2009: Johnathan M. Bardsley and John Goldes
Regularization Parameter Selection Methods for Ill-Posed Poisson Maximum Likelihood Estimation

#14/2009: Bharath Sriraman, Viktor Freiman, Nicole Lirette-Pitre
Interdisciplinarity, Creativity and Learning: Mathematics with Literature, Paradoxes, History, Technology & Modeling

#13/2009: Bharath Sriraman, Gabriele Kaiser
PMENA-Atlanta 2009 Working Group on Research Advances in Theories of Mathematics Education

#12/2009: Bharath Sriraman, Gabriele Kaiser
Advances in Mathematics Education

#11/2009: Johnathan M. Bardsley
An Nonnegatively Constrained Iterative Method for Positron Emission Tomography

#10/2009: Emily Stone, John Goldes, Martha Garlick
A Multi-Stage Model for Quantitative PCR

#9/2009: Bharath Sriraman, Lyn English
Theories of Mathematics Education: Seeking new frontiers

#8/2009: Paul Ernest, Brian Greer, Bharath Sriraman
Critical Issues in Mathematics Education

#7/2009: Bharath Sriraman
The characteristics of mathematical creativity

#6/2009: Bharath Sriraman
Interdisciplinarity in Mathematics Education: Psychology, Philosophy, Aesthetics, Modelling and Curriculum

#5/2009: Bharath Sriraman & Yasemin Kýymaz
Relationship of creativity to intelligence

#4/2009: Bharath Sriraman
Mathematics Curriculum

#3/2009: Bharath Sriraman
Elementary School, Mathematics Curriculum

#2/2009: Bharath Sriraman
Collaborative Learning: Mathematics and Science

#1/2009: Johnathan M. Bardsley, Daniela Calvetti, and Erkki Somersalo
Hierarchical regularization for edge-preserving reconstruction of PET images
2008
#36/2008: Johnathan M. Bardsley
A Fixed Point Formulation of the k-Means Algorithm for Image Segmentation and a Connection to Mumford-Shaw

#35/2008: Astrid Brinkmann, Bharath Sriraman
Aesthetics and Creativity: An exploration of the relationships between the constructs

#34/2008: Claus Michelsen, Bharath Sriraman
Does interdisciplinary instruction raise students' interest in mathematics and the subjects of the natural sciences

#33/2008: Johnathan M. Bardsley
The variational Kalman filter and an efficient implementation using limited memory BFGS

#32/2008: Johnathan M. Bardsley
A Matrix Theoretic Derivation of the Kalman Filter

#31/2008: Bharath Sriraman
Aha! Experiences

#30/2008: Bharath Sriraman
Let Lakatos Be! - A Commentary to “Would the real Lakatos please stand up”

#29/2008: Bharath Sriraman
Astronomy

#28/2008: Bharath Sriraman & Lyn English
Cognition

#27/2008: Bharath Sriraman
Creativity, Giftedness and Talent Development in Mathematics

#26/2008: Johnathan M. Bardsley & John Goldes
An Iterative Method for Edge-Preserving MAP Estimation when Data-Noise is Poisson

#25/2008: Johnathan M. Bardsley
A Theoretical Framework for the Regularization of Poisson Likelihood Estimation Problems

#24/2008: Lyn D. English, Richard Lesh, Graham Jones, Bharath Sriraman, Dina Tirosh, Mariolina Bartolini Bussi
The Handbook of International Research in Mathematics Education (2nd edition)

#23/2008: Johnathan M. Bardsley & N'djekornom Laobeul
An Analysis of Regularization by Diffusion for Ill-Posed Poisson Likelihood Estimation

#22/2008: Libby Knott, Bharath Sriraman & Irv Jacob
A Morphology of Teacher Discourse in the Mathematics Classroom

#21/2008: Brian M. Steele
Exact bootstrap k-nearest neighbor learners

#20/2008: Günter Törner, Katrin Rolka, Bettina Rösken, Bharath Sriraman
On the internal structure of goals and beliefs

#19/2008: Lyn D. English, Bharath Sriraman
Shaping the Future of Mathematics Education

#18/2008: Bharath Sriraman
Mathematics education and the legacy of Zoltan Paul Dienes

#17/2008: Richard Lesh, Bharath Sriraman
Models-modeling perspectives and the philosophy of pragmatism

#16/2008: Bharath Sriraman
General Creativity

#15/2008: Olof Steinthorsdottir, Bharath Sriraman
Iceland and rural/urban girls- PISA 2003 examined from emancipatory viewpoint.

#14/2008: Bharath Sriraman
Beliefs and Mathematics

#13/2008: Bharath Sriraman
International Perspectives on Social Justice in Mathematics Education

#12/2008: Nicholas Mousoulides, Bharath Sriraman, Constantinos Christou
The Modeling Perspective in the teaching and learning of mathematical Problem Solving at the elementary and secondary school level

#11/2008: Bharath Sriraman
On the Identit(ies) of Mathematics Education

#10/2008: Nicholas Mousoulides, Bharath Sriraman, Marios Pittalis & Constantinos Christou
Tracing Student’s modeling processes in school

#9/2008: Bharath Sriraman
A historic overview of the interplay of theology and philosophy in the arts, mathematics and sciences

#8/2008: Bharath Sriraman, (with G.Stillman, C.Kwok-cheung, R.Mason, L.Sheffield & K. Ueno)
Classroom Practice: Challenging mathematics classroom practices.

#7/2008: Bharath Sriraman
Mathematical precociousness

#6/2008: Bharath Sriraman
Mathematical Intelligence

#5/2008: Lyn English, Richard Lesh, Graham Jones, Bharath Sriraman, Dina Tirosh, Mariolina Bartolini Bussi
Future directions for mathematics education

#4/2008: Olof Steinthorsdottir, Bharath Sriraman
Explaining the Icelandic Gender “Anomaly” in PISA 2003

#3/2008: Bharath Sriraman, Claus Michelsen, Astrid Beckmann, Viktor Freiman
Proceedings of the Second International Symposium on Mathematics and its Connections to the Arts and Sciences

#2/2008: Bharath Sriraman, Harry Adrian
Response to Multicultural visions of Globalization

#1/2008: Bharath Sriraman
Mathematical paradoxes as pathways into beliefs and polymathy
2007
#18/2007: Johnathan M. Bardsley
Stopping Rules for a Nonnegatively Constrained Iterative Method for Ill-Posed Poisson Imaging Problems

#17/2007: Johnathan M. Bardsley
An Efficient Computational Method for Total Variation-Penalized Poisson Likelihood Estimation

#16/2007: P. Mark Kayll, Jennifer McNulty, James Mihalisin
Magic squares and antimagic graphs

#15/2007: Johnathan M. Bardsley
An Analysis of Methods for Wavefront Reconstruction from Gradient Measurements in Adaptive Optics

#14/2007: Arne C. Bathke, Solomon W. Harrar, Laurence V. Madden
How to Compare Small Multivariate Samples Using Nonparametric Tests

#13/2007: Solomon W. Harrar
Asymptotics for Tests on Mean Profiles, Additional Information and Dimensionality under Non-normality

#12/2007: Solomon W. Harrar and Arne C. Bathke
Nonparametric Methods for Unbalanced Multivariate Data

#11/2007: Solomon W. Harrar and Jin Xu
A note on the null distributions of some test statistics for profile analysis under general conditions

#10/2007: Heikki Haario, Leonid Kalachev, and Marko Laine
Reduced models of algae growth

#9/2007: Adam Nyman, S. Paul Smith
Watts Theorem for Schemes (2007)

#8/2007: Adelaida B. Vasil'eva, Leonid V. Kalachev, Alexander A. Plotnikov
On Certain Control Problems for a Class of Singularly Perturbed Parabolic Equations
(April 25, 2007)

#7/2007: Johnathan M. Bardsley
Wavefront Reconstruction Methods for Adaptive Optics Systems on Ground-Based Telescopes
(2007)

#6/2007: Bharath Sriraman, Libby Knott, Harry Adrian
The Mathematics of Estimation: Possibilities for Interdisciplinary Pedagogy and Social Consciousness
(2007)

#5/2007: Nicholas Mousilides, Bharath Sriraman, Marios Pittalis, Constantinos Christou
Tracing students’ modelling processes in elementary and secondary school
(2007)

#4/2007: Bharath Sriraman, Bettina Dahl Søndergaard
On Bringing Interdisciplinary Ideas to Gifted Education
(2007)

#3/2007: Bharath Sriraman, Günter Törner
Political Union/ Mathematics Education Disunion: Building Bridges in European Didactic Traditions.
(2007)

#2/2007: Olof Steinthorsdottir, Bharath Sriraman
Gender and Strategy Use in Proportional Situations: An Icelandic Study
(2007)

#1/2007: Olof Steinthorsdottir, Bharath Sriraman
Icelandic 5th grade girls developmental trajectories in proportional reasoning
(2007)
2006
#16/2006: Johnathan M. Bardsley and N'djekornom Laobeul
Tikhonov Regularization for Ill-Posed Poisson Likelihood Estimation: Analysis and Computation
(2006)

#15/2006: Johnathan M. Bardsley
An Efficient Estimation Scheme for Phase-Diversity Time Series Data
(2006)

#14/2006: Nicholas Mousoulides, Constantinos Christou, Bharath Sriraman
From Problem Solving to Modelling- A meta-analysis
(2006)

#13/2006: Günter Törner, Bharath Sriraman
The Steiner "Theories of Mathematics Education"-program of 1987: Where are we today?
(2006)

#12/2006: Luis Moreno-Armella, Bharath Sriraman, Guillermina Waldegg
Mathematical Objects and the Evolution of Rigor
(2006)

#11/2006: Gabriele Kaiser, Bharath Sriraman
A global survey of international perspectives on modeling in mathematics education
(2006)

#10/2006: Nicholas Mousoulides, Bharath Sriraman, Constantinos Christou
An Empirical Investigation of Sixth grade Students' Modelling Processes in Cyprus
(2006)

#9/2006: Athanasios Gagatsis, Bharath Sriraman, Iliada Elia & Modestina Modestou
Exploring Young Children's Geometrical Strategies through Dynamic Transformation of Polygons and Geometrical Models
(2006)

#8/2006: John Bardsley, Aaron Luttman
Total Variation-Penalized Poisson Likelihood Estimation for Ill-Posed Problems
(2006)

#7/2006: Nyman, Adam
Grassmannians Of Two-Sided Vector Spaces
(August, 2006)

#6/2006: Heikki Haario, Leonid Kalachev and Esko Tirronen
Optimal experimental protocol for identification of dissolution and kinetics parameters in the presence of fast reaction
(May, 2006)

#5/2006: Emily Stone, John Goldes and Martha Garlick
A Two Stage Model for Quantitative PCR
(February 8, 2006)

#4/2006: J. Bardsley, J.K. Merikoski, and R. Vio
The Stabilizing Properties of Nonnegativity Constraints in Image Deblurring Problems
(2006)

#3/2006: Aaron Luttman, John Bardsley
A Variational Approach to Video Segmentation for Botanical Data
(2006)

#2/2006: John Bardsley, Stuart Jefferies, James Nagy, Robert Plemmons
A Computational Method for the Restoration of Images with an Unknown, Spatially-Varying Blur
(2006)

#1/2006: Johnathan M. Bardsley, James G. Nagy
Covariance-Preconditioned Iterative Methods for Nonnegatively Constrained Astronomical Imaging
(2006)
2005
#7/2005: Rudy A. Gideon
The Oval Experiment, Measuring Distance
(2005)

#6/2005: Rudy A. Gideon
The Utility and General Definition of Correlation Coefficients
(2005)

#5/2005: Sriraman, Bharath & Günter Törner
Issues and tendencies in German Mathematics Didactics: An epochal perspective
(2005)

#4/2005: Sriraman, B (with Luis Moreno-Armella)
Structural Stability and Dynamic Geometry: Some Ideas on Situated Proof
(2005)

#3/2005: Sriraman, B & Strzelecki, Pawel
Playing with powers
(2004)

#2/2005: Sriraman, B (with C. Christou, N. Mousoulides, M. Pittalis & D. Pitta-Pantazi)
An Empirical Taxonomy of Problem Posing Processes
(2005)

#1/2005: William R. Derrick, Leonid V. Kalachev and Joseph A. Cima
Collapsing Heat Waves
(May 20, 2005)
2004
#5/2004: Rudy A. Gideon and Adele M. Rothan
Cauchy Regression and Confidence Intervals for the Slope
(2004)

#4/2004: Rudy A. Gideon and Adele M. Rothan
Elementary Slopes in Simple Linear Regression
(2004)

#3/2004: Rudy A. Gideon and Carol Ulsafer
A Robust Norm Using GDCC
()

#2/2004: Rudy A. Gideon and Adele M. Rothan
Location and Scale Estimation with Correlation Coefficients
()

#1/2004: Adelaida B. Vasil’eva and Leonid V. Kalachev
Singularly Perturbed Parabolic Equations with Alternating Boundary Layer Type Solutions
(October 7, 2004)
Mathematical Sciences | The University of Montana