Janet Bowers
Associate Professor
Department of Mathematics and
Statistics OFFICE: GMCS-570 E-Mail: JBowers@math.sdsu.edu |
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Current
Project:
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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
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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,
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).
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).
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:
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.
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.,
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,
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
Doerr, H., McClain, K., &
Bowers, J. (1997). Design principles for developing integrated
multimedia instructional materials. In
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).
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).
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).
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.
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).
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.
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