The Journal of Mathematics and Science: Collaborative Explorations
Volume 12, 2010
Part I: Special Issue – What We Have Learned Symposium

This Special Issue features articles submitted resulting from presentations made at the
“What We Have Learned Symposium” held at the Roslyn Episcopal Conference and Retreat
Center near Richmond, Virginia (December 1-2, 2009). The Symposium focus was on the
progress of the Virginia Mathematics Specialist program to date, with special attention given to
particularly successful aspects. The Symposium presentations included those by instructors and
participants in the Mathematics Specialists courses which have been developed and offered in the
Virginia program.

The table of contents below has a link to each of the journal articles, or you can download a copy of the whole journal online here.

Table of Contents	Page
PART I: SPECIAL ISSUE - What We Have Learned Symposium
THE IMPACT OF ELEMENTARY MATHEMATICS SPECIALISTS P.F. Campbell and N.N. Malkus	1
WHAT WE ARE LEARNING ABOUT THE ELEMENTARY MATHEMATICS SPECIALIST’S ROLE: SOME REFLECTIONS ABOUT MATH COACHING J. Whitenack and A. Ellington	29
A MATHEMATICIAN’S OVERVIEW OF THE VIRGINIA ELEMENTARY MATHEMATICS SPECIALIST PROGRAM L.D. Pitt	45
HOW TEACHERS LEARN: THE IMPACT OF CONTENT EXPECTATIONS ON LEARNING OUTCOMES J. Reyes	61
EARLY ALGEBRA AND MATHEMATICS SPECIALISTS M.K. Murray	73
GEOMETRY EXAMPLES ENCOUNTERED IN VARIOUS EVERYDAY EXPERIENCES R.W. Farley	83
WHAT COUNTS IN THE PREPARATION PROGRAM OF MATHEMATICS SPECIALISTS AND WHAT LESSONS HAVE WE LEARNED ABOUT WHAT NEEDS TO BE ADDED? S.S. Overcash	93
A WEB OF INFLUENCE: HOW THE MSP PROGRAM HAS SHAPED THE THOUGHTS OF THREE INSTRUCTORS J. Reyes	101
COACHING: ONE MATHEMATICS SPECIALIST’S SURVEY C.B. Doyle	111
PROVIDING REAL-WORLD EXPERIENCES: THE VIRGINIA TECH EXTERNSHIP FOR MATHEMATICS SPECIALISTS B. Kreye and J.L.M. Wilkins	119
REFLECTIONS ON WHAT YOU HAVE LEARNED: A RAPPORTEUR’S REPORT ON VIRGINIA’S “WHAT WE HAVE LEARNED SYMPOSIUM” D.B. Erchick	131
Regular Journal Features
MATHEMATICS PROFESSIONAL DEVELOPMENT WORKSHOP FOR MIDDLE SCHOOL TEACHERS: CONCEPT VERSUS MEMORIZATION D. Taylor and R.W. Farley	143
UNDERSTANDING THE TRANSITION BETWEEN HIGH SCHOOL AND COLLEGE MATHEMATICS AND SCIENCE S.A. Cullpeper, C. Basile, C.A. Ferguson, J.A. Lanning, and M.A. Perkins	157