RUME Bio for Harel Barzilai

Name Harel Barzilai
email barzilai@barzilai.org
Personal web site http://barzilai.org and http://barzilai.org/rume
Present institutional and
departmental affiliation
Salisbury Department of Mathematics
(2006-2007 Sabbatical at Cornell University)
Year(s), type(s), and institution(s) of degrees 1997 Ph.D. in Mathematics, Cornell University
Other contact information: 1101 Camden Ave. Salisbury, MD 21801 ; 410-543-6472
Home: 607-257-sixteen89 for 2006-2007.

My Background

While earning a doctorate in mathematics at Cornell, I took several courses on mathematics education and K-12 teaching and learned about the NCTM Standards. I also became actively involved in leading a graduate student initiative to reform the calculus sequence. Incorporated were in-class groupwork (including investigations I wrote up), written long-term modeling-based group projects, and student oral presentations (see http://www.math.cornell.edu/~projcalc/)

Another rewarding experience was my serving as a Teaching Assistant for a discussion, writing, and discovery based Geometry course (taught by David Henderson) largely intended for prospective school teachers, and participating in a related NSF Undergraduate Faculty Enhancement workshop on teaching geometry.

Upon completing my dissertation ('97), I declined an offer for a hybrid research/education postdoc at Duke University and took a postdoctoral position at the University of Minnesota to focus exclusively on mathematics education (both collegiate and K-12) and curricular development. There, I was workshop designer and coordinator for 12 sections of the University's Calculus Initiative, designed and ran weekend workshops for mathematically gifted K-12 students, and taught courses to both university students and K-12 students in the University of Minnesota Talented Youth Mathematics Program (UMTYMP). I also co-authored a (successful) grant proposal to encourage girls in mathematics, spoke at an MCTM meeting, and joined NCTM.

Pedagogical Interests and Experience

I frequently use in-class cooperative learning; short writing assignments; long-term group assignments: papers (lower division) or projects (Calc II and above); and student presentations. I use java applets as well as web pages/resources and class listservs.

I've designed and run some weekend workshops for mathematically talented K-12 students; I'd like to do so again, but am particularly interested in designing and running workshops for in-service (and pre-service) teachers as well as designing and teaching more courses for pre-service teachers.

I'd like to learn more about the K-12 sector and teacher preparation; Geometers Sketchpad, JavaSketchpad, and other (truly!) appropriate uses of technology.

Current Pedagogy and/or Math-Ed Projects

  • Designing a first-semester math course (offered S '00) for preservice elementary/middle school teachers
  • Co-authoring a classroom module on Mathematical Clustering for DIMACS
  • Ongoing: Hypertext Archive of Reform Calculus Resources
  • Fall '99 Teaching: two sections of College Algebra, and one section each of Linear Algebra
    and Abstract Algebra (note: this one item will be updated on my personal web page but is obviously
    not part of the more permament ARUME Bio modeled here)

    Other non-RUME interests

  • Molecular computation
  • Undergraduate research (algebra, topology; I'd like to learn enough discrete math to lead UG reserach there too).

    RUME Interests

    My ultimate aims are to apply research to deepen students' appreciation for, understanding and enjoyment of, and ability to learn, create and apply mathematics.

    More concretely and for the shorter-term, I am interested in identifying obstacles -- pedagogical, curricular, and conceptual -- which stand in the way of achieving the above, as well as practices and features of teachers, curricula, and entire institutions which enhance them.

    I truly respect theory, but am more applied-RUME oriented myself. I respect those who work with cognitive models, and count myself as ultimately among them, but am presently most interested in the less shorter-term, less ambitious goals, as outlined above and below, some of the fruits of which will eventually (one hopes!) be applicable towards the development of such descriptive, predictive, and (with care and within limits) possibly pedagogically prescriptive cognitive models.

    Current RUME Projects

  • Recurring Calculus and Precalculus Mistakes: Notational Obstructions and Conceptual Roots
  • (Future projects will go here...)

    Additional Keywords: Cooperative Learning, Groupwork, Projects, Written Assignments, Papers, Applets, Oral Presentations, NCTM Standards, Teacher Preparation, Calculus, Precalculus, College Algebra, Problem Solving, Abstract Algebra; Common Mistakes, Misconceptions, Notation, Qualitative Analysis.





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