selected publications
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article
- JRME--A Stage for Scholarly Discourse. Journal for Research in Mathematics Education. 44:338-339. 2013
- What’s 2 got to do with it? Using dynamic geometry environments to find surprising results and motivate proof. New England Mathematics Journal. 43:49-62. 2011
- Mathematics teaching today. Teaching Children Mathematics. 15:400-403. 2009
- The interplay of teacher and student actions in the teaching and learning of geometric proof. Educational Studies in Mathematics. 60:95-124. 2005
- Assessing high school students’ understanding of geometric proof. Canadian Journal of Science, Mathematics, and Technology Education. 4:223-242. 2004
- Understanding Calculus, Second Edition (Book Review). Mathematics Teacher. 97:382. 2004
- Classroom Factors Related to Geometric Proof Construction Ability. Mathematics Educator. 7:18-31. 2003
- How reform secondary mathematics texts stack up against NCTM's principles & standards. Mathematics Teacher. 94:540-545,589. 2001
- African Fractals: Modern Computing and Indigenous Design (Book Review). Mathematics Teacher. 93:160-161. 2000
- Calculus students’ abilities to solve geometric related rate problems. Mathematics EEducation Research Journal. 12:74-91. 2000
- Performance-based assessment of secondary mathematics student teachers. Action in Teacher Education. 22:86-95. 2000
- An investigation of classroom factors that influence proof construction ability
- Exploring the teacher’s role in a discourse-rich environment to promote proving in the secondary school
- Factors influencing the use of representations in the classroom
- First-year calculus students' procedural and conceptual understandings of geometric related rate problems
- Fracturing our ideas about dimension. NCTM Student Math Notes. 28:1-4.
- Going beyond the rules: Making sense of proof
- Investigating the teaching and learning of proof: First year results
- Penrose tilings. New England Mathematics Journal. 27:23-46.
- The impact of teacher actions on student proof schemes in geometry
- The teaching and learning of geometric proof: An emerging theory
- Tools for investigating high school students’ understanding of geometric proof
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book
- Principles and standards for school mathematics Navigations series: Navigating through reasoning & proof in grades 9-12. Reston, VA: National Council of Teachers of Mathematics. 2008
- The PRIME leadership framework: Principles and indicators for mathematics education leaders. Bloomington, IN: Solution Tree. 2008
- Mathematics teaching today: Improving practice, improving student learning. Reston, VA: National Council of Teachers of Mathematics. 2007
- Project FOCUS. Seven modules designed for mathematics remediation at the college level.. Boston, MA: Boston University.
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chapter of book
- Analyzing student responses in mathematics using two-digit rubrics. Secondary Analysis of the TIMSS Results. Dordrecht, The Netherlands.
- Formal proof in high school geometry: Student perceptions of structure, validity and purpose. Teaching and learning mathematics proof across the grades: A K-16 perspective. New York.
- Investigation 7: What in the world are fractals?. Curriculum and evaluation standards for school mathematics addenda series, Grades 5-8: Understanding rational numbers and proportions. Reston, VA. 76-89.
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thesis or dissertation