- Many informal talks about the National Science Foundation, Whittier College, Knox College, the Appalachian Math Science Partnership, and California State University, San Marcos at local Rotary Club, Kiwanis Club, etc.
- Designing Effective Educational Initiatives for Grant Proposals American Society of Engineering Education (ASEE), 5/09, Austin, TX (with D. Llewellyn and M. Usselman),
- "Views of change across the horizon: Using policy to create partnerships that change practice" Association for American Colleges and Universities (AAC&U), 1/08, Washington, DC (with P. Earley and P. Maloney)
- "Making Good on Our Word: STEM Faculty and K-16 Partnerships", American Society for Higher Education Irvine, CA 11/06 and at American Association of College Teacher Educators, N.Y., N.Y. (2/07) (with P. Earley, P. Maloney, L. Mangurian)
- Teacher Quality Summit VI, Louisville, KY (EPSB sponsored conference): "Capstone Course for Future High School Teachers" (with David Leep) 10/05.
- Focused Discussion Group leader "How can we help preservice students understand the difference between procedural and conceptual classroom tasks?" Appalachian Association of Math Teacher Educators, Lexington, KY 9/05
- American Mathematical Society/Mathematical Association of America, Annual Meeting, "Service Learning in Mathematics," San Francisco, California, 1/95
- AAC&U, 81st Annual Meeting, "Designs for Learning in New Institutions," San Francisco, California, 1/95
- AASCU, Academic Vice President Meeting, "Reward System for Service Learning," Tucson, Arizona, 1/94
- Sixth Annual California Regional Meeting of American Conference of Academic Deans, "Provost's View of the Role of Deans," Oakland, California, 10/92
- University of California System Office, "Building a New University," Oakland, California, 12/92
- Council of Colleges of Arts and Sciences, "Relationship of Deans, Chairs, and Faculty," New Orleans, Louisiana, 11/90
- Annual Seminar for New Deans, "A Practicum in College Administration," Council of College of Arts and Sciences, Williamsburg, Virginia, 6/90, 6/91

- "Self-Efficacy Beliefs of high school students in an advanced course in proofs and number theory", Psychology of Mathematics Education (PME/NA), Chicago, IL (with C. Hendricks), 11/13
- "Effects of Advanced High School Corse in Number Theory and Algebra on the Mathematical Habit of Mind of Students" , Fifth National Conference on Research in Math Education in Ireland, MEI 5, Dublin, Ireland, 9/13
- "Self-efficacy Beliefs of Gifted Students in a Proof Centered Number Theory Course", School Science and Mathematics Association, (with C. Hendricks), Birmingham, AL,11/12
- "STEM Education through Race to the Top and other Examples", Global New Energy Summit, Colorado Springs, CO 4/12
- "What is Research in Mathematics? Is Math Research in its Prime?", Mathematics Engineering Science (MESA), Georgia Perimeter College Chapter, Dunwoody, Ga, 2/12
- "Motions, Distance, and a Piece of ?", Math Teacher Circle, U. of Colorado, Denver, 1/12
- "STEM Education through Race to the Top and SLIDER (NSF) as Examples" U. of Colorado, Denver, 1/12
- "Advanced High School Course in Number Theory on Students' Mathematical Self-Efficacy", Psychology of Mathematics Education (PME/NA), Reno, NV (with C. Hendricks), 10/11
- "Building on STEM outreach to K-12, especially in Mathematics", Forum on Teaching Teachers in the Era of the Common Core, Conference Board on Mathematical Sciences, Reston, VA, (with Paul Myers), 10/11
- "A Meta-analysis of mathematics Teachers n the Industrial Internship GIFT Program", Psychology of Mathematics Education (PME), Ankara, Turkey, (with M. Alemdar and B. Harris), 7/11
- "A Meta-analysis of Mathematics Teachers of the GIFT Program Using Success Case Methodology", Educational Interfaces Between Math and Industry, ICMI-ICIAM (with M. Alemdar and B. Harris), Lisbon, Portugal, 10/10
- "Lessons from Teaching Algebra by A Multi-Disciplinary Team of Algebra Cubed STEM Graduate Students" Science and Math Education Conference (SMEC), Dublin City University, 9/10 (with Xin Ma, first author)
- "Graduate Students in School with Teachers and Students: Results of the ALGEBRA CUBED project", International Conference Education, Economy & Society, Paris, France, 7/10 (with Xin Ma, first author)
- "Mathematical Academic Outreach to K-12: ALGEBRA3, SLIDER, and GIFT", Southern Illinois University, Carbondale, IL, 4/10
- "Discussing Mathematics Outreach as Working with a Variety of Stakeholders on Math Content", American Math Society meeting, University of Kentucky, 3/10
- "A Conversation about Mathematical Habit of the Mind for Preservice Teachers", University of Georgia, Mathematics Education Student Association, Dept. of Mathematics Education, Athens, GA, 3/10
- "Da Vinci Computations with Computations", High Museum of Art, Teacher Institute,6/09
- "CEISMC, STEM Learning Initiatives, & Technology Opportunities", Technology Association Group (TAG), Atlanta, GA, 12/09 (with B. Harris and J. Rosen)
- "About National Standards, Possible Influences of DR-K12, and Synecdoche of X-County", NSF DR-K12 PI Meeting, Washington, DC, 11/09
- "Helping Students Get an Idea of What Mathematics Is About by Digging Deeper in Numbers and Algebra", NCTM, Nashville, TN, 11/09
- "The Appearance of Deep Mathematics in Late Elementary and Middle School", School Science and Mathematics Association (SSM) and at Georgia Council of Teachers of Mathematics (GCTM) both in 10/09
- "Designing Effective Educational Initiatives for Grant Proposals". Proceedings of the 2009 American Society for Engineering Education Annual Conference & Exposition, with Donna Llewellyn (first author), D. Usselman (second author), 6-09
- "Bluma's Method for Solving Quadratics Whose First Coefficient Isn't One", Georgia Council of Teachers of Mathematics, Rock Eagle, GA, 10-08 (with Eric Clark)
- "Role Modeling During the Teaching of Algebra by an Cross-disciplinary Team of STEM Graduate Students" Science and Math Education Conference (SMEC), Dublin City University, 9/08 (with Xin Ma)
- "Graduate students in mathematics classrooms: Can they impact teachers and students in mathematics" Annual meeting of the European Educational Research Association. Gothenburg, Sweden, 9-08 (with Xin Ma, first author)
- "Fostering Creativity in Preservice Teachers through Mathematical Habits of the Mind" (with Tim Jacobbe), DG9, ICMI-11, 7/08
- "Infusing Assessment into Mathematics Content Courses for Pre-Service Elementary School Teachers" (with X. Ma (first author, presenter) and M. Wells), TSG 29, ICMI-11, 7/08, Monterrey, Mexico
- "Mathematical Issues in Math Education and ALGEBRA3", Knox College, 5/08, Galesburg, IL
- "Content Issues in Math Education, Examples, Tasks, and ALGEBRA3 ", Georgia Institute of Technology, 5/08, Atlanta, GA
- "A Self and Peer Assessment Intervention in Mathematics Content Courses for Pre-Service Elementary School Teachers" (by invitation, with X. Ma and M. Wells), Symposium on the Occasion of the 100th Anniversary of ICMI, 3/08, Rome, Italy
- "The Algebra Cubed GK12 program of the University of Kentucky in Bath and Powell counties", A.M.S./M.A.A. special session, annual meeting, 1/08, San Diego, CA
- "Influence on Content Courses for Preservice Teachers Resulting from the Participation of Mathematicians and Math Graduate Students in ALGEBRA CUBED", COMET session, A.M.S./M.A.A. special session, annual meeting, 1/08, San Diego, CA
- "Bluma's Method: A Different/New Way to Solve Quadratics", Kentucky Council of Teachers of Mathematics, Lexington, KY, 10/07, Fayette County Public School Math Teachers, 12/07 (lightly refereed)
- "Constructing a Conceptual Mathematics Content course with Integrated Assessment for future teachers" Athens Institute for Education and Research Math Conference, Athens, Greece, 6/07 (joint work with X. Ma and M. Wells), (lightly refereed)
- "ALGEBRA CUBED: A rural GK12 project in middle and high school", California State University, Northridge, CA, 4/07
- "The space of Riemannian metrics and geometric properties" California State University, Northridge, CA, 4/07
- "Constructing a Conceptual Mathematics Content Sequence with Integrated Assessment", Research on Undergraduate Mathematics Conference, San Diego, CA, 2/07 (with M. Wells)
- "Spaces and Subspaces of the Space of Riemannian Metrics", University of Nevada, Las Vegas, NV, 4/06
- "Topology of the Space of Riemannian Metrics" Tennessee Technological University, Cookeville, TN, 2/06
- "Curves, Frames, and Differential Geometry" Morehead State University, Morehead, KY, 3/06
- "Design of a Mathematics Content Course to Integrate the Assessment Principle: Recent Results", 4th Annual Hawaii Conference on Education, Honolulu, HI, 1/06, with Xin Ma (lightly refereed)
- "Conceptual Ideas behind Fractions," PK-16 Miniworkshop, Tennessee Technological University, Cookeville, TN, 11/05
- "Partnership Enhancement Projects in the area of Mathematics" NSF/ED Math Science Partnership State Coordinators' Meeting, Washington, D.C., 10/05 (with Paul Eakin and John Yopp)
- "Use of Video Clips of Children in a Content Math Course for Future Elementary Teachers" with Kelly Svec and Dana Williams (UK undergraduates), Appalachian Association of Math Teacher Educators, Lexington, KY 9/05 (lightly refereed)
- "Integrating the Assessment Principle into Mathematics Content Courses for Preservice Elementary Teachers," International Commission on Mathematics Instruction, 15th Study, Aguas de Lindoia, Brazil, 5/05 (with Xin Ma)
- "Mathematical Mathematics Education with examples from the AMSP," Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, 5/05
- "A Brown Bag on the Math Strand of AMSP," CREMSE, San Diego State University, San Diego, California, 10/04
- "AMSP: A Partnership to Create Opportunities Through Math and Science, K-20," Dept. of Statistics, North Carolina State University, Raleigh, North Carolina, 9/04
- "Spectrum of Laplace Operator on Manifolds," Dalian, People's Republic of China, 8/97
- "Writing in Mathematics/Science," North County Professional Development Foundation, Sullivan Middle School, Bonsall, California, 11/94 (day long workshop)
- "Mathematics Education in USA via the NCTM Standards," Institute of Mathematics, Chinese Academy of Science (Academia Sinica), Beijing, People's Republic of China, 6/94
- "NCTM Standards and School Reform," Hangzhou Teacher's College, Hangzhou, People's Republic of China, 5/94
- "Writing Math in Middle School," University of Nevada, Reno, Nevada, 7/93
- "Use of Writing to Assess Math Studies," Louisville, Kentucky, National Council of Teachers of English 11/92
- "Writing in Mathematics," California State University, San Bernadino, California, 11/92
- "Writing in Mathematics," University of Nevada, Las Vegas, Nevada, 9/92
- "Conference on College Composition and Communications, "Writing Across the Curriculum and Mathematics," Cincinnati, Ohio, 3/92
- "Writing in Science and Math," University of Toledo (2 hour workshop), Toledo, Ohio, 4/91
- "Mathematics in English: Writing as a Tool to Learn," Greater Cleveland Council of Teachers of Mathematics," Cincinnati, Ohio, 1/91
- "Writing to Learn Mathematics," Western Ohio Education Day, Celina, Ohio, 10/90
- "Writing as a Tool to Learn Mathematics," Ohio Council of Teachers of Mathematics, Zanesville, Ohio, 3/90
- "Spectrum of Riemannian Manifolds," National Security Agency, 11/88
- "Laplace Operators on Riemannian Manifolds," University of Cincinnati, Cincinnati, Ohio, 11/86
- "Geometric consequences of the Laplacian on Surfaces," Georgetown University, Washington, D.C., 11/85
- "Superspace: An Introduction to Global Analysis," Smith College, Northampton, Massachusetts, 9/85
- "Laplace-Beltrami Operator on Homogenous Spaces," Auburn University, Auburn, Alabama, 5/85
- "Connectedness in the Space of Riemannian Metrics" and "Spectrum of Laplacian Operator," University of Petroleum and Minerals, Dharhan, Saudi Arabia, 4/84
- "Recent Results about the Spectrum of the Laplacian," Colorado State University, Fort Collins, Colorado, 3/83
- "Helices on Surfaces," Southern Illinois University, Carbondale, Illinois, 5/82
- "Completeness in the Space of Riemannian Metrics," Central Michigan University, Mount Pleasant, Michigan, 5/82
- "Laplace-Beltrami Operator on Riemannian Manifolds: Especially Lie Groups," Tulane University, New Orleans, Louisiana, 10/79
- "Controllability of the Wave Equation on a Rimannian Manifold," NATO Advanced Study Institute/AMS Summer Institute in Applied Mathematics, Harvard University, Cambridge, Massachusetts, 6/79
- "Laplace-Beltrami Operator on Riemannian Manifolds: Controllability, Applications and Computability," Texas Tech University, Lubbock, Texas, 4/79
- "Riemannian Geometry: A Complete Discussion," Howard University, Washington, D.C., 10/78
- "Spectra of the Laplace-Beltrami Operator on Homogenous Spaces," Oakland University, Rochester, Michigan, 3/78
- "Spectra of the Laplace-Beltrami Operator on Homogenous Spaces," Texas A&M University, College Station, Texas, 3/78
- "Spectra of the Laplace-Beltrami Operator on Lie Groups," Indiana University - Purdue University, West Lafayette, Indiana, 11/77
- "Spectra of the Laplace-Beltrami Operator on Homogenous Spaces," University of Connecticut, Storrs, Connecticut, 2/77
- "Spectra of the Laplace-Beltrami Operator on Lie Groups," AMS Meeting, Ann Arbor, Michigan, 11/76 (20 minutes)
- "Spectra of the Laplace-Beltrami Operator for Semisimple Lie Groups," Washington University, St. Louis, Missouri, 4/76
- "Spectra of the Laplace-Beltrami Operator on Differential Forms on Lie Groups," Princeton University, Princeton, New Jersey, 4/76
- "Holomorphic Connections and Homotopy Invariance of the Dolbeault Cohomology," AMS Summer Institute in Several Complex Variables, 8/75 (45 minutes)
- "A Non-synthetic Approach to Transformation Geometry," MAA Meeting, Rockford College, Rockford, Illinois, 4/75
- "F-Structures Motivated by the Cousin Problem," A.M.S. Summer Institute in Differential Geometry, 8/74 (45 minutes)
- "Geometry of Connection," University of Windsor, Windsor, Ontario, 11/72
- "Holomorphic Connections on Real Product Bundles," AMS Meeting, St. Louis, Missouri, 7/72 (20 minutes)
- "Structures of Real Product Bundles," Washington University, St. Louis, Missouri, 4/72

- Mathematical Reasoning for Elementary Teachers, Boston, Massachusetts, Pearson-Addison/Wesley, fifth edition (2009), sixth edition (2012), seventh edition (appear, 2014) (with C. Long (first author) and D. DeTemple)
- Geometry: An Axiom and Models Approach, New York, New York: Springer-Verlag (with G. Parker), first edition, (1981), 2nd edition (1991)
- Calculus: A Practical Introduction, New York, New York: McGraw-Hill Book Company, 1979 (with G. Parker)
- Problems and Proof in Numbers and Algebra, New York, New York: Springer-Verlag (with P. Shiue and E. Kahn), under contract, to appear 2015
- Elements of Differential Geometry, Englewood Cliffs, New Jersey: Prentice-Hall, 1977 (with G. Parker)

- Tasks in Primary Mathematics Teacher Education: Purpose, Use and Exemplars, NY, NY, Springer, 2008 (with Barbara Clarke and Barbro Grevholm)
- Proceedings of Conference on Differential Geometric Control Theory, Boston, Massachusetts: Birkhauser, 1983 (with R. Brockett and H. Sussman)
- Symmetries in Science, New York, New York: Plenum Press, 1980 (with B. Gruber)

- "The Effects of an Advanced High School Course in Number Theory and Algebra on Students' Mathematical Self-Efficacy" (with C.Hendricks, first author), In Martinez, M. & Castro Superfine, A (Eds.) Proceedings of the 35th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education. Chicago, IL: University of Illinois at Chicago, p. 284-287.
- "The Effects of an Advanced High School Course in Number Theory on Students' Mathematical Self-Efficacy",Proceedings of the Conference on Psychology of Mathematics Education (PME/NA), Reno, NV (with C. Hendricks, first author), 10/11
- "A Meta-analysis of Mathematics Teachers of the GIFT Program Using Success Case Methodology" with Meltem Alemdar, and Bonnie Harris, Proceedings of the ICMI-ICIAM Study Conference, "Educational Interfaces between Mathematics and Industry", ed. Araujo, Fernandes, Azevedo, Rodrigues, April, 2010, p. 369-376.
- "Lessons from Teaching Algebra by A Multi-Disciplinary Team of Algebra Cubed STEM Graduate Students" Proceedings of Science and Math Education Conference (SMEC), Dublin City University, 9/10 (with Xin Ma)
- "Designing Effective Educational Initiatives for Grant Proposals". Proceedings of the 2009 American Society for Engineering Education Annual Conference & Exposition, with Donna Llewellyn (first author), D. Usselman (second author)
- "Bluma's Method: A Different Way to Solve Quadratics", (with Eric Clark), Reflections of GCTM, Vol. LIII (3), Spring, 2009, p. 19-21.
- "Mathematical Habits of the Mind in Preservice Teachers", School Science and Mathematics 109 (2009), p. 298-302, 5/09 (with Tim Jacobbe)
- "Role Modeling During the Teaching of Algebra by an Cross-disciplinary Team of STEM Graduate Students" Trends in Science and Mathematics Education (TiSME), vol.1(2008), p. 123-138 (with Xin Ma (first author))
- "Tasks Using Video Clips of Children in a Content Math Course for Preservice Elementary School Teachers", in Tasks in Primary Mathematics Teacher Education: Purpose, Use and Exemplars, NY,Springer, 2008 Editors: Clarke, Grevholm, Millman, (with Kelly Svec and Dana Williams), p. 105-112
- "Function, Form and Focus: The Role of Tasks in Elementary Mathematics Teacher Education" in Tasks in Primary Mathematics Teacher Education: Purpose, Use and Exemplars, NY,Springer, 2008 Editors: Clarke, Grevholm, Millman, (with Barbara Clarke (first author) and Barbro Grevholm), p. 1- 5.
- "Fostering Creativity in Preservice Teachers through Mathematical Habit of the Mind" (with Tim Jacobbe), in Promoting Creativity For All Students in Mathematics Education, Proceedings of the Discussion Group 9, the 11th International Congress on Mathematical Education, Editors: Emiliya Velikova, Agnis And? (University of Rousse, Bulgaria 2008), p.158-163
- "Infusing Assessment into Mathematics Content Courses for Pre-Service Elementary School Teachers" (with X. Ma (first author) and M. Wells), (third author) Education Research for Policy and Practice 2009, vol. 7, 165-181 . "Mathematical Habits of the Mind in Preservice Teachers", School Science and Mathematics 109 (2009), p. 298-302, 5/09 (with Tim Jacobbe)
- "Educators and Teacher Training Context", invited chapter, (with P. Iannone, P. Johnston-Wilder), ICMI Study Volume 15, Professional Education and Development of Teachers of Mathematics, Springer, NY, Deborah Ball and Ruhama Even, Eds, (2009), p. 127 - 134
- "Using Self-Assessment and Peer-Assessment," NCTM Bulletin 42 (2005), p. 9, (with Xin Ma)
- "Using Writing to Assess Mathematics Pedagogy and Students' Understanding," Evaluating Writing, the Role of Teachers' Knowledge, NCTE Yearbook, ed by C. Cooper and L. Odell, (1998): 154-169
- "Mathematicians' Concepts of Audience in Mathematics Textbook Writing," Primus, Volume 2, (1992): 335-347 (with R. Bullock)
- "Artist's View of Points and Lines," Mathematics Teacher 84, No. 2 (February, 1991): 132-138 (with R. Speranza)
- "Labor/Management Issues in Drug Testing From a Probabilistic Viewpoint," (with J. Brawley): Mathematics in College, (1991): 3-11
- "Writing Around Humor as a Tool to Learn Mathematics," Mathematics in College, (1991): 3-11
- "Circles in New Worlds," Ohio Journal of School Mathematics 8, (1990): 22-28
- "Writing in a Non-Euclidean Geometry Course," Using Writing to Teach Mathematics, ed. by A. Sterrett, Mathematical Association of America, MAA Notes Number 16, (1990): 134-137
- "Calculus from an Administrative Perspective," Calculus for a New Century, ed. by L.A. Steen, National Academy of Sciences, Mathematical Association of America, (1987): 141-144
- "MacDonald's Eta Function Formula and Some Developments in Differential Geometry," American Mathematical Monthly 93, (1986): 369-371 (with H.D. Fegan)
- "Laplace Operator on Differential Forms for Lie Groups," Differential Topology-Related Fields and Their Applications to the Physical Sciences and Engineering, ed. by G.M. Rassias, Teubner-Texte zur Mathematik, Band 76, (1985): 155-165 (with C. Givens)
- "Manifolds with the same Spectrum," American Mathematical Monthly 90, (1983): 553-555
- Review of: R. Hermann, "Cartanian Geometry, Nonlinear Waves and Control Theory, Parts A and B," Bulletin of the American Mathematical Society 6 (1982): 467-478
- "Control Theory for the Wave Equation in Compact Riemannian Manifolds," Funkcialaj Ekvacioj 23, (1980): 39-62 (with G. Chen)
- "Denseness of Bounded and Unbounded Riemannian Metrics," Tensor 34, (1980): 9-12 (with G. Parker)
- "Remarks on Spectrum of Laplace-Beltrami Operator in the Middle Dimensions," Tensor 34, (1980): 94-96
- "The Normal Degree of Immersions," Bulletin of the Institute of Mathematics," Academia Sinica 8, (1980): 241-249
- "Topology of the Pin (n) Group," Tensor 34, (1980): 9-12 (with G. Parker)
- "Upper Half Plane Model for Hyperbolic Geometry," American Mathematical Monthly 87, (1980): 48-53
- "Quadrants in the Space of Riemannian Metrics," Michigan Math 25, (1978): 3-7 (with H.D. Fegan)
- "Kleinian Transformation Geometry," American Mathematical Monthly 84, (1977): 338-349
- "The Spectra of Laplace-Beltrami Operator on Compact, Semisimple Lie Groups," American Journal of Mathematics 99, (1977): 801-807 (with B.L. Beers)
- "Analytic Vector Harmonic Expansions on SU(2) and the 2-sphere," Journal of Mathematical Physics 16, (1975): 11-19 (with B.L. Beers)
- "Bundle Homogeneity and Holomorphic Connections," Journal of Differential Geometry, (1974): 531-536
- "Geometry of Connections," American Mathematical Monthly 80, (1973): 487-500 (with A.K. Stehney)
- "The Holomorphic Connection as a Smooth Phenomenon," Canadian Mathematical Congress--Proceeding of the 13th Biennial Seminar, Vol 2 (1973): 93-101
- "Complex Structures on the Real Product Bundles with Applications to Differential Geometry," Transactions of the American Mathematical Society 166, (1972): 71-99
- Review of Gratton-Guiness, I., "The Development of the Foundation of Mathematical Analysis from Euler to Riemann," American Mathematical Monthly 79, (1972): 315-316
- "Geodesics in Metrical Connections," Proceedings of the American Mathematical Society 30, (1971)
- "How to Measure Holes in the Plane: An Introduction to Modern Topology," New York State Mathematics Teachers' Journal 21, (1971): 107-140
- Review of Hall T., "Carl Friedrich Gauss: A Bibliography," New York State Mathematics Teachers' Journal 21, (1971): 119
- "Representatives of Semisimple Lie Groups," mimeographed notes, Cornell University, 1970 (from lectures of C.J. Earle, W.H.J. Fuchs, J.S. Halperin, A.W. Knapp, O.S. Rothaus, and H.C. Wang)
- "Numerical Stability of One Evaluation Predictor--Corrector Algorithms for Numerical Solution for Ordinary Differential Equations," Mathematics of Computation 22 (1968): 557-564 (with R. Klopfenstein)