Randall E. Groth, Ph.D.

Associate Professor of Mathematics Education, Department of Education Specialties

Seidel School of Education and Professional Studies

Salisbury University

                                                                                                           

Contact Information

Office: Teacher Education and Technology Center, Room 379R                                

Office phone: 1-410-677-5061

Email: regroth@salisbury.edu     

 

Institutions Attended

Marquette University, B.S. in Mathematics

University of Wisconsin - Oshkosh, M.S. in Mathematics Education

Illinois State University, Ph.D. in Mathematics Education

Dissertation:

Groth, R.E. (2003). Development of a high school statistical thinking framework. (Doctoral dissertation, Illinois State University, 2003) Dissertation Abstracts International, 64 (04), 1202.

 

Teaching Experience

1996-1997: High School Mathematics Teacher, Messmer High School, Milwaukee, WI

1997-2000: High School Mathematics Teacher, Clintonville High School, Clintonville, WI

2000-2003: Graduate Teaching and Research Assistant, Illinois State University

2003 - 2009: Assistant Professor of Mathematics Education, Salisbury University

2009-present: Associate Professor of Mathematics Education, Salisbury University

 

Undergraduate Level Courses Taught

EDUC 300 - Development, Learning, and Assessment

ELED 311 - Elementary School Mathematics Instruction

MATH 130 - Fundamental Concepts I

MATH 150 - Data and Probability Connections

SCED 320 - Technology in Mathematics Education

SCED 373 - Secondary School Mathematics Instruction, Part I

SCED 426/428 - Directed Teaching in the Secondary School

SCED 473 - Secondary School Mathematics Instruction, Part II

 

Graduate Level Courses Taught

EDUC 502 - Introduction to Educational Research

EDUC 506 - Seminar in the Teaching of Mathematics

EDUC 590 - Mathematics Teaching in the Middle School

EDUC 695 - Research Seminar

 

                                                                                       

Publications

Groth, R.E. (in press). Royalty, racing, rolling pigs, and statistical variability. Teaching Children Mathematics

Groth, R.E. (2014). Prospective teachers' procedural and conceptual knowledge of mean absolute deviation. Investigations in Mathematics Learning, 6(3), 51-69.

Groth, R.E. (2013). Dynamic representations and flexible trigonometric thinking. Banneker Banner, 28(2), 32-42.

Groth, R.E., & Bergner, J.A. (2013). Mapping the structure of knowledge for teaching nominal categorical data analysis. Educational Studies in Mathematics, 83, 247-265.

Groth, R.E. (2013). Characterizing key developmental understandings and pedagogically powerful ideas within a statistical knowledge for teaching framework. Mathematical Thinking and Learning, 15, 121-145.

Groth, R.E. (2013). A day in the life of a statistical knowledge for teaching course. Teaching Statistics, 35(1), 37-42.  

Groth, R.E. (2013). Teaching mathematics in grades 6-12: Developing research-based instructional practices. Thousand Oaks, CA: Sage. 

Pearl, D.K., Garfield, J.B., delMas, R., Groth, R.E., Kaplan, J.J., McGowan, H., and Lee, H.S. (2012). Connecting research to practice in a culture of assessment for introductory college-level statistics. [Online: http://www.causeweb.org/research/guidelines/ResearchReport_Dec_2012.pdf]

Groth, R.E. (2012). The role of writing prompts in a statistical knowledge for teaching course. Mathematics Teacher Educator, 1, 23-40.

Groth, R.E., & Bargagliotti, A.E. (2012). GAISEing into the statistics common core. Mathematics Teaching in the Middle School, 18, 38-45. 

Groth, R.E. (2012). Establishing and maintaining collaboration: Factors related to the sustainability of lesson study. In J. Bay-Williams (Ed.), Professional Collaborations in Mathematics Teaching and Learning: Seeking Success for All- 74th Yearbook of the National Council of Teachers of Mathematics (pp. 285-296). Reston, VA: NCTM.

Groth, R.E., Bergner, J.A., & Barzilai, H. (2012). Supporting teachers' understanding and use of algebra tiles. NCSM Journal of Mathematics Education Leadership, 14 (1), 10-18.

Groth, R.E., & Shihong, X. (2011). Preparing teachers through case analyses. In C. Batanero & G. Burrill (Eds.), Teaching statistics in school mathematics - Challenges for teaching and teacher education: A joint ICMI-IASE study (pp. 371-382). Dordrecht, The Netherlands: Springer.

Groth, R.E. (2011). Improving teaching through lesson study debriefing. Mathematics Teacher, 104, 446-451.

Groth, R.E. (2010). Situating qualitative modes of inquiry within the discipline of statistics education research. Statistics Education Research Journal, 9(2), 7-21, Available: http://www.stat.auckland.ac.nz/~iase/serj/SERJ9(2)_Groth.pdf

Groth, R.E. (2010). Interactions among knowledge, beliefs, and goals in framing a qualitative study in statistics education. Journal of Statistics Education, 18(1), Available: http://www.amstat.org/publications/jse/v18n1/groth.pdf

Groth, R.E. (2010). Three perspectives on the central objects of study for grades PreK-8 statistics. In B.J. Reys & R.E. Reys (Eds.), Mathematics curriculum issues, trends, and further directions: Seventy-second yearbook of the National Council of Teachers of Mathematics (pp. 157-170). Reston, VA: NCTM.

Groth, R.E. (2010). Teachers' construction of learning environments for conditional probability and independence. International Electronic Journal of Mathematics Education, 5, 32-55.

Groth, R.E., Spickler, D.E., Bergner, J.A., & Bardzell, M.J. (2009). A qualitative approach to assessing technological pedagogical content knowledge. Contemporary Issues in Technology and Teacher Education, 9 (4), Available: http://www.citejournal.org/vol9/iss4/mathematics/article1.cfm

Groth, R.E., & Burgess, C.R. (2009). An exploration of two online approaches to mathematics teacher education. Journal of Computers in Mathematics and Science Teaching, 28, 221-246.

Groth, R.E. (2009). Characteristics of teachers' conversations about teaching mean, median, and mode. Teaching and Teacher Education, 25, 707-716.

Groth, R.E. (2009). Capitalizing on differences of opinion. In G. Zimmerman, P. Guinee, L.M. Fulmore, & E. Murray (Eds.), Empowering the mentor of the beginning mathematics teacher (pp. 63-64). Reston, VA: NCTM.

Lesser, L., & Groth, R.E. (2009). Technological pedagogical content knowledge in statistics. In P. Bogacki (Ed.), Proceedings of the Twentieth Annual International Conference on Technology in Collegiate Mathematics (pp. 148-152). Available: http://archives.math.utk.edu/ICTCM/VOL20/S118/paper.pdf.

Groth, R.E., & Burgess, C.R. (2009). A venue for peer reviews. Teaching Children Mathematics, 15, 354-360.

Groth, R.E. (2008). Navigating layers of uncertainty in teaching statistics through case discussion. In C. Batanero, G. Burrill, C. Reading, & A. Rossman (Eds.), Joint ICMI/IASE study: Teaching statistics in school mathematics. Challenges for teaching and teacher education. Proceedings of the ICMI study 18 and 2008 IASE round table conference. Available: http://www.ugr.es/~icmi/iase_study/.

Groth, R.E. (2008). Assessing teachers' discourse about the Pre-k-12 Guidelines for Assessment and Instruction in Statistics Education (GAISE). Statistics Education Research Journal, 7(1), 16-39.

Groth, R.E. (2008). A complex system analysis of practitioners' discourse about research. Focus on Learning Problems in Mathematics, 30, 34-60.

Groth, R.E. (2008). Analyzing online discourse to assess students' thinking. Mathematics Teacher, 101, 422-427.

Groth, R.E. (2007). Reflections on a research-inspired lesson about fairness of dice. Mathematics Teaching in the Middle School, 13, 237-243.

Groth, R.E. (2007). Toward a conceptualization of statistical knowledge for teaching. Journal for Research in Mathematics Education, 38, 427-437.

Groth, R.E. (2007). Understanding teachers' resistance to the curricular inclusion of alternative algorithms. Mathematics Education Research Journal, 19, 3-28.

Groth, R.E., & Bergner, J.A. (2007). Teachers' perspectives on mathematics education research reports. Teaching and Teacher Education, 23, 809-825.

Groth, R.E., & Bergner, J.A. (2007). Building an online discussion group for teachers. Mathematics Teaching in the Middle School, 12, 530-535.

Groth, R.E. (2007). Case studies of mathematics teachers’ learning in an online study group. Contemporary Issues in Technology and Teacher Education [Online serial], 7(1). Available: http://www.citejournal.org/vol7/iss1/mathematics/article1.cfm

Groth, R.E. (2006). Analysis of an online case discussion about teaching stochastics. Mathematics Teacher Education and Development, 7, 53-71.

Groth, R.E. (2006). Expanding teachers’ understanding of geometric definition: The case of the trapezoid. Teaching Children Mathematics, 12, 376-380.

Groth, R.E. (2006). Engaging students in authentic data analysis. In G.F. Burrill & P.C. Elliot (Eds.), Thinking and reasoning with data and chance: Sixty-eighth yearbook of the National Council of Teachers of Mathematics (pp. 41-48). Reston, VA: National Council of Teachers of Mathematics.

Groth, R.E. & Bergner, J.A. (2006). Preservice elementary teachers' conceptual and procedural knowledge of mean, median, and mode. Mathematical Thinking and Learning, 8, 37-63.

Groth, R.E. (2006). An exploration of students' statistical thinking. Teaching Statistics, 28, 17-21.

Groth, R.E. (2005). Thoughts on teaching to the assessment limits in the Maryland Voluntary State Curriculum. Banneker Banner, 23(1), 18-21.

Groth, R.E. (2005). Linking theory and practice in teaching geometry. Mathematics Teacher, 99, 27-30.

Bergner, J.A. & Groth, R.E. (2005). Making mathematical connections by constructing tetrahedra. Mathematics Teacher, 98, 298-305.

Groth, R.E. (2005). An investigation of statistical thinking in two different contexts: Detecting a signal in a noisy process and determining a typical value. Journal of Mathematical Behavior, 24, 109-124.

Groth, R.E., & Bergner, J.A. (2005). Preservice elementary school teachers' metaphors for the concept of statistical sample. Statistics Education Research Journal, 4 (2), 27-42.

Groth, R.E. (2004). High school students' levels of thinking in regard to analyzing univariate data sets. In McDougall, D.E. & J.A. Ross (Eds.). Proceedings of the twenty-sixth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education: Volume 1 (pp. 414-415). Toronto: Ontario Institute for Studies in Education.

Groth, R.E. & Powell, N.N.  (2004).  Using research projects to help develop high school students’ statistical thinking. Mathematics Teacher, 97, 106-109.

Groth, R.E. (2003). High school students’ levels of thinking in regard to statistical study design. Mathematics Education Research Journal, 15, 252-269.

Groth, R.E.  (2002). Characterizing secondary students’ understanding of measures of central tendency and variation. In D.S. Mewborn, P. Sztajn, D.Y. White, H.G. Wiegel, R.L. Bryant, & K. Nooney (Eds.), Proceedings of the twenty-fourth annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education: Volume 1 (pp. 247-257). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.

Re-prints:

Groth, R.E. (2013). Reflections on a research-inspired lesson about the fairness of dice. In G. Lappan, M.S. Smith, & E. Jones (Eds.), More rich and engaging mathematics tasks: Grades 5-9 (pp. 415-422). Reston, VA: NCTM.   

Groth, R.E., & Powell, N.N. (2012). Using research projects to help develop high school students’ statistical thinking. In J. Newton & S. Kasten (Eds.), Reasoning and sense-making activities for high school mathematics: Selections from Mathematics Teacher (pp. 275-279). Reston, VA: NCTM.

Groth, R.E. (2009). Capitalizing on differences of opinion. In G. Zimmerman, P. Guinee, L.M. Fulmore, & E. Murray (Eds.), Empowering the mentor of the experienced mathematics teacher (pp. 65-66). Reston, VA: NCTM.

Groth, R.E. (2008). Expanding teachers' understanding of geometric definition: The case of the trapezoid. In J.M. Bay-Williams & K. Karp (Eds.), Growing professionally: Readings from NCTM publications for grades K-8 (pp. 70-75). Reston, VA: NCTM.

Groth, R.E. (2007). Zeitschrift des vereins zur förderung des schulischen stochastikunterrichts. Stochastik in der Schule, 27(1), 9-11.

Selected Presentations:

Groth, R.E. (2014, February). Building synergistic relationships between teaching and research. 4th Annual Salisbury University Teaching and Learning Conference, Salisbury, MD.

Groth, R.E. (2013, August). The influence of statistical knowledge for teaching theory on the development of a statistics course for PreK-8 teachers. 2013 Joint Statistical Meetings, Montreal, Quebec, CA.

Harrell, L.M., Pierce, R.L., Lesser, L.M., Groth, R.E., Murphy, T.J., & Sorto, M.A. (2013, May). Preparing to teach K-12 statistics: Assessing teachers’ readiness. United States Conference on Teaching Statistics, Cary, NC.

Bargagliotti, A., Franklin, C., Groth, R.E., Jacobbe, T., & Kaplan, J. (2013, May). K-12 teacher preparation in statistics: It is no longer optional but essential. United States Conference on Teaching Statistics, Cary, NC.  

Groth, R.E. (2012, August). Preparing prospective teachers to implement the Common Core State Standards for statistics and probability. Mathematical Association of America MathFest, Madison, WI.

Groth, R.E. (2012, April). Contrasting cases in the development of statistical knowledge for teaching. National Council of Teachers of Mathematics Research Presession, Philadelphia, PA.

Zieffler, A., delMas, R., Groth, R.E., & Mvududu, N. (2011, May). Introduction to qualitative research methods in statistics education. United States Conference on Teaching Statistics, Cary, NC.

Groth, R.E., Jaccobe, T., Madden, S., & Zieffler, A. (2011, April). Research in statistics education: Current efforts and future directions. National Council of Teachers of Mathematics Research Presession, Indianapolis, IN.

Groth, R.E. (2009, October). Establishing productive lesson study groups. Maryland Council of Teachers of Mathematics Annual Conference, Germantown, MD.

Groth, R.E., Bergner, J.A., & Noonan, K. (2009, April). Forming partnerships among teachers, mathematicians, and mathematics educators through lesson study. National Council of Teachers of Mathematics Annual Conference, Washington, D.C.

Groth, R.E., & Bergner, J.A. (2009, January). A lesson study approach to developing productive dialogue between university mathematics faculty and high school teachers. Joint Annual Meeting of the American Mathematical Society and the Mathematical Association of America, Washington, D.C.

Groth, R.E. (2008, July). Navigating layers of uncertainty in teaching statistics through case discussion. Joint ICMI/IASE study: Teaching Statistics in School Mathematics. Challenges for Teaching and Teacher Education, Monterrey, Mexico.

delMas, R., Groth, R.E., Lesser, L., & Miller, J. (2007, May). I wonder...from question to research. United States Conference on Teaching Statistics, Columbus, OH.

Fey, J.T., Groth, R.E., & Barnes, B. (2006, October). Linking teachers and researchers to define best practice in mathematics teaching. Maryland Council of Teachers of Mathematics Annual Conference, Millersville, MD.

Groth, R.E., & Bergner, J.A. (2006, April). Professional development through online discussion groups. National Council of Teachers of Mathematics Annual Conference, St. Louis, MO.

Groth, R.E., & Bergner, J.A. (2006, January). Theoretical lenses for examining undergraduate students' statistical thinking. Joint Annual Meeting of the American Mathematical Society and the Mathematical Association of America, San Antonio, TX.

Jenne, J.T., White, A.F., Weaver, S.D., & Groth, R.E. (2005, December). Shifting the content reading paradigm: What reading professors can learn from content methods instructors, and why they should. Fifty-fifth Annual Meeting of the National Reading Conference, Miami, FL.

Groth, R.E. (2004, October). High school students' levels of thinking in regard to analyzing univariate data sets. Twenty-sixth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Toronto, ON, CA. 

Groth, R.E. (2004, October). Levels of thinking in high school statistics. National Council of Teachers of Mathematics Regional Conference, Baltimore, MD. 

Groth, R.E. (2003, October). Linking theory and practice in teaching geometry. Maryland Council of Teachers of Mathematics Annual Conference, Rockville, MD.

Groth, R.E.  (2002, October).  Characterizing secondary students’ understanding of measures of central tendency and variation.  Twenty-fourth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Athens, GA.

Groth, R.E.  (2002, October).  NSF Graduate Fellows Project: Enhancing mathematics teaching and learning, National Council of Teachers of Mathematics Regional Conference, Paducah, KY.   

Professional Memberships:

The International Association for Statistical Education (IASE)

National Council of Teachers of Mathematics (NCTM)

Maryland Council of Teachers of Mathematics (MCTM)