Montana State University

Mathematics Faculty

David Yopp

David Yopp

Associate Professor of Mathematics Education, mathematics education, cone preserving linear maps.

D.A.. (1998) Idaho State University, M.A. (1994) Indiana University, and B.S. (1990) Arkansas State University.

Office phone: 406-994-3123
email

Professor Yopp's interests include proof and reasoning teaching and learning and the knowledge needed for effective mathematics instructional coaching in elementary and middle grades. He is the principal investigator on the 3.5 million dollar NSF-funded DRK-12 Grant Examining Mathematics Coaching, EMC http://www.math.montana.edu/~emc/. He has published in the Journal for Mathematical Behavior, Investigation in Mathematics Learning, Mathematics Teaching in the Middle School, Teaching Children Mathematics, the MAA Focus, and Linear Algebra and Its Applications, among others.

Personal Home Page

Publications:

  1. Yopp, D. A. Counter examples that explain why. The Mathematics Teacher.  (Under Revision).
  2. Yopp, D. A. Valuing Informal Arguments and Empirical Investigations during Collective Argumentation. Primus. To appear.
  3. Yopp, D. A., Burroughs, E.A., and Lindaman, B. (2011). Why it is important for in-service elementary teachers to know that .999…=1. Journal of mathematical Behavior. doi:10.1016/j.jmathb.2011.07.007
  4. Yopp, D. A. (2011). How some research mathematicians and statisticians use proof in under- graduate mathematics. Journal of Mathematical Behavior, v30 n2 p115-130 Jun 2011.
  5. Sutton, J., Burroughs, E.A., and Yopp, D.A. Defining Coaching Knowledge. Mathematics Education Leadership, To appear Fall 2011.
  6. Yopp, D.A., Burroughs, E.A., Luebeck, J., Heidema, C., Mitchell, A., and Sutton, J. (2011). How to be a wise consumer of coaching: Strategies teachers can use to maximize coaching's benefits. Journal of Staff Development, 32(1), pp 50-53.
  7. Burroughs, E.A. and Yopp, D. A. (2010). Prospective Elementary School Students’ Understanding of Repeating Decimals.  Investigations in Mathematics Learning, 3(1), 2010.
  8. Yopp, D. A. (2010) Developing an Understanding of Logical Necessity. Teaching Children Mathematics, 16(7), 410-422.
  9. Yopp, D.A, and Rehberger, R.  (2009). A Curriculum Focus Intervention’s Effects on Prealgebra Achievement. Journal of Developmental Education, 33(2), 26-36.
  10. Yopp, D. A. (2009) From Inductive Reasoning to Formal Proof.  Mathematics Teaching in the Middle School, 15(5), 286-291.
  11. Yopp, D. A. (2009) Student-Produced Video Summaries in a Mathematics Course for Prospective Elementary School Teachers.  On-Math, January.
  12. Yopp, D. A.  (2008). One U.S. Mathematics Educator’s Professional Development Experience with In-service Chinese Teachers.  Conference Proceedings of the S.-Sino Workshop on Mathematics and Science Education, Murfreesboro, TN, 61-65.
  13. Yopp, D. A. (2008). Smooth, Differentiable and Tangent Line Approximations. MathAMATYC Educator, 1(1), p. 62-64.
  14. Yopp, D. A. (2008).  Portfolio and Scoring Rubrics in Technology-Aided Instruction.  MAA Focus, 28(5), 14-16.
  15. Yopp, D. A., and Zhou, J. (2007).  A Yin and Yang Approach to Area and Irregular Shapes: Beyond the Area of Triangles and Parallelograms. Mathematics Teaching in the Middle School, 13 (5), 296-297.
  16. Yopp, D. A., Hill, R. D., and Waters, S. (2005).  On the Facial Structure of the Cone of Positive Maps, Pan American Mathematics Journal, 15(3), 1-12.
  17.  Yopp, D. A., and Hill, R. D. (2005).  Extremals and Exposed Faces of the Cone of Positive Maps, Linear and Multilinear Algebra, 53(3), 167-174.
  18.  Yopp, D. A. (2005). Making Connections in Math Class. Teaching for Success, January.
  19. Yopp, D. A. (2000).  On the Cone of Completely Copositive and Decomposable Linear Transformations, Linear Algebra and Its Applications, 312(1-3), 1-12.
  20.  Yopp, D. A. (2000). On the Cone of Completely Positive Linear Transformations, Linear Algebra and Its Applications, 304(1-3), 119-129.

Grant Reports:

  1. Burroughs, E.A., Sutton, J., and Yopp, D.A. Examining Mathematics Coaching, Year 2 Annual Report, National Science Foundation. 2011.
  2. Burroughs, E.A., Sutton, J., and Yopp, D.A. Examining Mathematics Coaching, Year 1 Annual Report, National Science Foundation. 2011.
  3. Yopp, D. A. Sustaining Strands: Improving Mathematics Content and Pedagogy in Middle School Teachers in Minidoka and Cassia Counties. Final Evaluation Report. U.S. Department of Education, 2010.
  4. Yopp, D. A. Strengthening Strands: Improving Mathematics Content and Pedagogy in Middle School Teachers in Minidoka and Cassia Counties. Final Evaluation Report. U.S. Department of Education, 2009.
  5. Yopp, D. A. Strengthening Strands: Improving Mathematics Content and Pedagogy in Middle School Teachers in Minidoka and Cassia Counties. Year 2 Evaluation Report. U.S. Department of Education, 2008.
  6. Yopp, D. A. Glacier to Gallatin (G2G) Middle Grades Mathematics Project Evaluation Report. Final Evaluation Report. U.S. Department of Education, 2008.

 Grants

      Funded

  1. Montana State University Retention Grants. A mastery intervention in college algebra. $9958 to conduct retention and success research in college algebra. PI: Hays, Tom; Co-PI: Yopp, David
  2. National Science Foundation Discovery Research K-12 (DRK-12) (NSF DRK-12 Award #0918326) Examining Coaching in Elementary (K-8) Mathematics Classrooms (2009-2014). $3,499,314 to conduct a research study on instructional coaching in elementary mathematics classrooms. PI: Yopp, David, Montana State University; Co-PIs: Burroughs, Elizabeth, Montana State University; Sutton, John, RMC Research Corporation.
  3. Idaho sub-award of a U. S. Department of Education Mathematics/Science Partnership Grant (MSP). Strengthening Strands: Improving Math Content and Pedagogy in Middle School Teachers for Minidoka and Cassia Counties (2006-2009). $495,000 to conduct a research study on the effects of professional development provided community college STEM faculty on the teaching practices of middle school teachers. PI: Yopp, David, The College of Southern Idaho. CO-PI: Meade, Constance, The College of Southern Idaho.
  4. Idaho sub-award of a U. S. Department of Education Mathematics/Science Partnership Grant. Sustaining Strands. (2004-2006). $210,738 to implement professional development provided community college STEM faculty to Twin Falls, Idaho school teachers and study its effects. PI: Peterson, L., Twin Falls, Idaho School District; CO-PI: Yopp, David, College of Southern Idaho.
  5. The College of Southern Idaho Foundation Interdepartmental Retreat Grant (2003). $2,500 to bring together the Mathematics, Computer Science, and Engineering Department and the Academic Development Center to align outcome goals and curriculums. Yopp, David and Rose, Jason, College of Southern Idaho. 
  6. The College of Southern Idaho Foundation Title III sub-award (2003). $1500 to team-teach differential equations with an engineering professor to better serve engineering students. Yopp, David
  7. The College of Southern Idaho Foundation Title III sub-award (2002). $1500 to purchase Maple Software, a computer algebra system, for campus-wide Maple Software for student use. Yopp, David  
  8. The College of Southern Idaho Foundation Mini Grant (2001). $1000 to purchase graphing calculators for student use.