San Diego State University

Janet Bowers

Associate Professor

Department of Mathematics and Statistics
San Diego State University
5500 Campanile Drive
San Diego, CA 92182-7720

PHONE: 619-594-6361
FAX: 619-594-6746

OFFICE: GMCS-570

E-Mail: JBowers@math.sdsu.edu


Current Project:

 

Past Projects:

·         Applet Content Development for Key Curriculum Press

·         Applet Development for NSF-funded curriculum project for preservice elementary teachers

·         Principal Investigator, Simulations for Calculus Learning (SimCalc)

·         Co-Principal Investigator, Investigating Multimedia Case Studies as a Tool for Preservice Teacher Development

·         Co-Principal Investigator, MEASURE: Mathematics Enhancement and Accountability in Systemic Urban Initiative Research

·         Project Faculty, Reforming the Preparation and Professional Development of Elementary and Middle School Mathematics Teachers

 

 


Education

  • Ph.D., Vanderbilt University, Education and Human Development, specialization in Mathematics Education and Technology, 1996
  • M.A., Villanova University, Mathematics Education, 1991
  • B.A., Bucknell University, Mathematics and Psychology, 1985

Teaching Materials

  • Math 509: Current Syllabus for Teaching Secondary Mathematics with Technology Course
  • MathEd 602: Current Syllabus for Teaching Elementary Mathematics with Technology Course

Research

My interests involve researching the ways in which students' development of mathematical understandings can be supported through advanced technologies. During one recent project, I worked with a team of reserachers to develop three computer-based microworlds to support students' development of place value conceptions. These programs are described via the CandyFactory Programs link.


Publications

   Bowers, J., Passentino, G., & Connors, C. (2012). What is the complement to a procedural video: An analysis of how videos can be designed to support productive mathematical practices. Journal of Computers in Mathematics and Science Teaching, 213-248.

Bowers, J., Bezuk, N, Aguilar, K., & Klass, S. (2011).  Designing applets that instantiate effective mathematics pedagogy. Journal of Technology and Teacher Education, 19 (1), 45 - 72.

Bowers, J., Bezuk, N. & Aguilar, K. (2011). Adapting the mathematical task framework to design online didactic objects. International Journal of Mathematical Education in Science and Technology, 42(4), 481-495. doi:10.1080/0020739X.2010.550941

Bowers, J.  & Stephens, B.  (2011) Using technology to explore mathematical relationships: a framework for orienting mathematics courses for prospective teachers. Journal Of Mathematics Teacher Education, 14(4), 285-304, DOI: 10.1007/s10857-011-9168-x

Bowers, J., Brandt, J., Stovall, K., & Vargas, M.**  (2009). Searching for the most amazing thing over the last 20 years: A review of research on technology and the teaching and learning of mathematics, volume 1 and volume 2. Journal for Research in Mathematics Education, 40(5), 564 – 570.

Bowers, J., & Doerr, H.  (2003).   Designing multimedia case studies for prospective mathematics teachers. Journal of Educational Multimedia and Hypermedia,) 12(2), 135-161.

Gravemeijer, K., Bowers, J., & Stephan, M. (2003). A hypothetical learning trajectory on measurement and flexible arithmetic. In M. Stephan, J. Bowers, P. Cobb, & K. Gravemeijer (Eds.), Supporting students' development of measuring conceptions: JRME Monograph 12, (pp. 51-66). Reston, VA: NCTM.

Bowers, J. & Doerr, H. (2001). An analysis of prospective teachers’ dual roles in understanding the mathematics of change: Eliciting growth with technology. Journal of Mathematics Teacher Education, 4, 115-137.

Bowers, J. & Nickerson, S. D. (2000). Students' changing views of rates and graphs when working in a simulation microworld. Focus on Learning Problems in Mathematics, 22 (3/4), 10-25.

Bowers, J., Nickerson, S., & Kenehan, G. (2000). Using Technology to Teach Concepts of Speed. In B. H. Litwiller (Ed.) 2002 Yearbook of the National Council of Teachers of Mathematics: Making Sense of Fractions, Ratios and Proportions. Reston, VA: NCTM.

Bowers, J., Cobb, P., & McClain, K. (1999). The evolution of mathematical practices: A case study. Cognition and Instruction, 17, 25-64.

Cobb, P., & Bowers, J. S. (1999). Cognitive and situated learning perspectives in theory and practice. Educational Researcher, 28(2), 4-15.

 

IV. Chapters in Edited Books

Doerr, H., & Bowers, J. (forthcoming).  Principles for Designing Tasks in Dynamic Representational Environments. To appear in S. Heggedus & J. Roschelle (Eds.), Democratizing Access to Important Mathematics through Dynamic Representations: Contributions and Visions from the SimCalc Research Program. Advances in Mathematics Education Series, Springer.

Nickerson, S., & Bowers, J. (2008). Examining interaction patterns in college-level mathematics classes: A case study. In M. Carlson & C. Rasmussen (Eds.), Making the connection: Research and teaching in undergraduate mathematics (pp. 177-188). Washington, DC: The Mathematical Association of America.

Gravemeijer, K., Cobb, P., Bowers, J. S., & Whitenack, J. (2000). Symbolizing, modeling, and instructional design. In P. Cobb, E. Yackel, & K. McClain (Eds.), Symbolizing, communicating and mathematizing: Perspectives on discourse, tools, and instructional design (pp. 225-274). Mahwah, NJ: Erlbaum.

Nickerson, S. D., Nydam, C., & Bowers, J. S. (2000). Linking algebraic concepts and contexts: Every picture tells a story. Mathematics Teaching in the Middle School, 6, 92-98.

Stephan, M., Bowers, J., Cobb, P., & Gravemeijer, K. (Eds.), (2003).  Supporting students' development of measuring conceptions: Journal for Research in Mathematics Education, Monograph 12, (pp. 51-66). Reston, VA: NCTM.

McClain, K., Cobb, P., & Bowers, J. (1998). A contextual investigation of three-digit addition and subtraction. In L. Morrow (Ed.), 1998 Yearbook of the National Council of Teachers of Mathematics: The teaching and learning of algorithms in school mathematics (pp. 141-150). Reston, VA: National Council of Teachers of Mathematics

 

 

V. Articles in Refereed Proceedings

 

Bowers, J., & Zazkis, D. (2012).  Do students flip over the flipped classroom model for learning college calculus?  In VanZoest, L., R., Lo, J-J., & Kratky, J. L. (Eds.). Proceedings of the 34th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (849-852.  Kalamazoo, MI: Western Michigan University.

Bowers, J., Fredenberg, M., Gruver, J. & Roschelle, J. (2012). Using Technology to Gauge Prospective Teachers’ Interpretations of the Common Core Standards. In P. Resta (Ed.), Proceedings of Society for Information Technology & Teacher Education International Conference 2012 (pp. 1317-1325). Chesapeake, VA: AACE.

Bowers, J., Fredenberg, M., & Gruver, J. (2012).  Pre-service teachers’ interpretations of the Common Core Standards: A comparative study along three dimensions. In VanZoest, L., R., Lo, J-J., & Kratky, J. L. (Eds.). Proceedings of the 34th annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (782).  Kalamazoo, MI: Western Michigan University.

Nickerson, S., Bowers, J., & Fredenberg, M. (2011).  Moving forward at an exponential rate: Crossing boundary disciplines to prepare teachers for 21st century students.  In L. R. Weist & T. Lamberg (Eds.), Proceedings of the 33rd Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, (p. 1464-1467). Reno, NV: University of Nevada, Reno.

Bowers, J., Bezuk, N., Aguilar, K. & Klass, S. (2010). How Can Digital Didactic Objects Be Designed to Support the Learning of Mathematics?. In D. Gibson & B. Dodge (Eds.), Proceedings of Society for Information Technology & Teacher Education International Conference 2010 (pp. 345-352). Chesapeake, VA: AACE.

Bowers, J. (2009, November).  Designing Unique Applets to Support Students’ Increasingly Sophisticated Mathematical Understandings.  Invited address at the National Council of Teachers of Mathematics Regional Conference. Nashville, TN.

Bowers, J.  (2008). Debating Some Advantages and Difficulties Associated with Teaching Mathematics Online: Opening the Discussion.  Proceedings of the Eleventh Conference on Research in Undergraduate Mathematics Education.  CA: San Diego.

Bowers, J., & Yang, D.** (2008, March). Comparing communication patterns within a hybrid professional development course for elementary teachers. In K. McFerrin, R. Webber, & R. Carlson (Ed.), Proceedings of the Nineteenth International Conference for the Society for Technology and Teacher Education. Las Vegas, NV.

Bowers, J. (2008). Comparing Communication Patterns within a Hybrid Professional Development Mathematics Course for Elementary Teachers.  Proceedings of the Nineteenth International Conference for the Society for Technology and Teacher Education.  Las Vegas, NV.

Bowers, J. S. (2000, October). Contextualizing the actor and the play: A study of third grade students developing understandings of place value. In M. L. Fernandez (Ed.), Proceedings of the Twenty Second Annual Meeting of the Psychology of Mathematics Education, (Vol. 2, p 413-419).

 

Bowers, J. S., Sale, J., Kenehan, G., & Doerr, H.M. (2000). Designing multimedia case studies for pre-service teachers: Pedagogical questions and technological design solutions. In D. A. Willis, J. D. Price, and J. Willis (Eds.), proceedings of the annual meeting of the Society for Information Technology and Teacher Education (pp. 1889-1893). Charlottesville, VA: Association for the Advancement of Computing in Education.

Bowers, J. S. (1999, October). Placing linked representations in social context. In F. Hitt &M. Santos (Eds.), Proceedings of the Twenty First Annual Meeting of the Psychology of Mathematics Education, (Vol. 2, p. 617-623).

Doerr, H. M. & Bowers, J. S. (1999, October). Revealing pre-service teachers’ thinking about functions through concept mapping. In F. Hitt & M. Santos (Eds.), Proceedings of the Twenty First Annual Meeting of the Psychology of Mathematics Education, (Vol. 1, p. 364-369).

Nickerson, S. & Bowers, J. S. (1999, October). Investigating students’ developing concepts of rate. In F. Hitt & M. Santos (Eds.), Proceedings of the Twenty First Annual Meeting of the Psychology of Mathematics Education, (Vol. 1, p. 409).

Bowers, J. S., & Doerr, H. M. (1998, October). Investigating teachers’ insights into the mathematics of change. In K. D. S. Berenson, M. Blanton, W. Coulombe, J. Kolbe, K. Norwood & L. Stiff (Eds.), Proceedings of the Twentieth Conference of the Psychology of Mathematics Education - North American Chapter, (Vol. 2, pp. 789-795). Raleigh, NC: North Carolina State University.

Bowers, J. S. (1997, October). Analyzing students’ learning with microworlds: Do you see what I see? In J. Dossey, J. Swafford, M. Parmantie & A. Dossey (Eds.),Proceedings of the Nineteenth Conference of the Psychology of Mathematics Education - North American Chapter, (Vol.2, pp. 611-617).

Bowers, J., McClain, K., & Cobb, P. (1997, July). Design Principles for Developing Integrated Multimedia Instructional Materials. In E. Pehkonen (Ed.), Proceedings of the Twenty-First Conference of the International Group for the Psychology-Mathematics Education (Vol. I, p. 1-219). Lahti, Finland: Lahti Research and Training Center.

Doerr, H., McClain, K., & Bowers, J. (1997). Design principles for developing integrated multimedia instructional materials. In E. Pehkonen (Ed.), Proceedings of the Twenty-First Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 217-224). Lahti, Finland: University of Helsinki.

Bowers, J. (1997). Analyzing students learning with microworlds: Do you see what I see? In J. Dossey, J. Swafford, M. Parmantie, & A. Dossey (Eds.), Proceedings of the Nineteenth Conference of the Psychology of Mathematics Education-North American Chapter (Vol. 2, pp. 611-617). Columbus, OH: ERIC Clearinghouse for Science, Mathematics, and Environmental Education.

Barron, L., Bowers, J., & McClain, K. (1996). Evaluating an interactive CD-ROM designed for preservice teacher education. In L. Puig & A. Gutierrez (Eds.), Proceedings of the Twentieth Conference of the International Group for the Psychology of Mathematics Education, (Vol. 1, p. 208). Valencia, Spain: University of Valencia.

Bowers, J. (1995). Designing computer learning environments based on the theory of realistic mathematics education. In L Miera & D. Carraher (Eds.), Proceedings of the Nineteenth Conference of the International Group for the Psychology of Mathematics Education (Vol. 2, pp. 202-210). Recife, Brazil: Program Committee of the 19th PME Conference.

Bowers, J. (1995, November). Coordinating top-down and bottom up approaches: An alternative perspective for developing a mathematical microworld. In J. L. Schnase & E. L. Cunnius (Eds.), Proceedings of the First International Conference for Computer Support for Collaborative Learning. Bloomington, IN: Indiana University.

Bowers, J., Barron, L., & Goldman, E. (1994). An interactive media environment to enhance mathematics teacher education. In J. Willis, B. Robin, & D. A. Willis (Eds.), Technology and teacher education annual (pp. 515-519). Washington, DC: Society for Technology and Teacher Education.

 

 

VI.  Unpublished Refereed Papers Presented Before Professional Conferences

 

Bowers, J. (2009, April). Exploring technological pedagogical content knowledge (TPACK) in a mathematics course for prospective secondary teachers. Pre-conference Presentation at the 2009 Annual Meeting of the National Council of Teachers of Mathematics. Washington DC.

Bowers, J. (2009, April). Exploring technological pedagogical content knowledge (TPACK) in a mathematics course for prospective secondary teachers. Pre-conference Presentation at the 2009 Annual Meeting of the National Council of Teachers of Mathematics. Washington DC.

Bowers, J., Aguilar, K., & Klass, S.  (2009, April). A Framework for Designing and Analyzing the Cognitive Demand of Online Applets in Teacher Professional Development. Paper to be presented at the Annual Meeting of the American Educational Research Association, San Diego, CA.

Bowers, J., Yang, D.**, & McClain, K. (2009, April). Designing Applets to Support the Development of Co-Variational Reasoning. Paper presented at the 2009 NCTM Research Pre-session. Washington, DC.

Bowers, J.  (2008, January).  Using JavaScript to create applets for Teacher Professional Development.  Presentation at the Annual Joint Mathematics Meetings, CA: San Diego.

Bowers, J. S., & Doerr, H. M. (2001). Assessing the effectiveness of multimedia case studies: New questions and new answers. Paper presented at the annual meeting of the American Educational Research Association, Seattle, Washington.

Bowers, J. S. (2000, April). A critique of the situated perspective. Invited discussant address presented at the annual meeting of the American Educational Research Association, New Orleans.

Lobato, J. & Bowers, J. (2000, April). Three perspectives in Research on Functions: Quantitative, Representational, and Phenomenological. Presentation given at the annual meeting of the American Educational Research Association, New Orleans.

Bowers, J., Nickerson, S., & Nydam, C. (1999, April). “1 Wanted to Move the Alien Backwards, So I Changed His Position Graph!” ... and Other Lessons Learned from Seventh Graders Using Technology. Paper presented at the Nineteenth annual pre-session conference of the National Council of Teachers of Mathematics, San Francisco, CA.

Bowers, J., & Nickerson, S. (1998, April). Documenting the Development of a Collective Conceptual Orientation in a College-Level Mathematics Course. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.

Doerr, H., & Bowers, J. (1998, March). How fast and how much: Tools for preservice teachers’ thinking. Presentation given at the tenth anniversary meeting of the T3 International Conference.

Stewart, K., & Bowers, J. (1997, October). STEP: A Case Study on Building a Bridge from HPC Technologies to the Secondary Classroom. Paper presented at the SuperComputing ‘97 conference, San Jose, CA.

Bowers, J., Cobb, P., & McClain, K. (1997, April). The Evolution of Mathematical Practices: A Case Study. Paper presented at the annual meeting of the American Educational Research Association, Chicago.

McClain, K., & Bowers, J. (1996, April). Explore the Patterning and Relationship of Geometric Concepts. Presentation given at the annual meeting of the National Council of Teachers of Mathematics, San Diego.

Yackel, E. & Bowers, J. (1996, April). Individual and Collective Processes Surrounding the Evolution of Meaning and Conceptual Understanding. Paper presented at the annual meeting of the American Educational Research Association, New York.

Bowers, J., & Altman, J. (1995, April). Reflections On The Process Of Design. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.

Bowers, J., & Cobb, P. (1995, April). Theoretical and Pedagogical Considerations in Developing Integrated Media Instructional Activities. Paper presented at the annual meeting of the American Educational Research Association, San Francisco.

 

 

VI.  Book Reviews

 

Bowers, J., Brandt, J., Stovall, K., & Vargas, M.  (2009). Searching for the most amazing thing over the last 20 years: A review of research on technology and the teaching and learning of mathematics, volume 1 and volume 2. Journal for Research in Mathematics Education, 40(5), 564 – 570.

Bowers, J. (2000). Mapping Paradigm Shifts in Geometry Education: A Review of “Designing Learning Environments for Developing Understanding of Geometry and Space”. Journal of Educational Computing Research, 22(4), 473-480.

Bowers, J. (1994). Review of The children’s computing machine: Rethinking school in the age of computers. CD-ROM Professional, 7~4), 163-164.

 


Last modified on February 9, 2000.

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