📝 Authors' Notes

Research papers, essays, and presentations by Pat Baggett and Andrzej Ehrenfeucht on mathematics education, history of math, algebra, and more.

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Pat Baggett

Professor of Mathematics at New Mexico State University. Co-author of Breaking Away from the Math Book and creator of hands-on math curriculum for K-12 teachers and students.

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Andrzej Ehrenfeucht

Distinguished Professor of Computer Science at the University of Colorado Boulder. Co-author and researcher in mathematics education, combinatorics, and theoretical computer science.

📖 Featured Resource

A Companion to Every Treatise on Arithmetic, in the Form of Question and Answer by William Russell

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Research Papers & Essays

A Course in the History of Mathematics EducationNEWA Look at MathA mathematically rigorous calculus course for non-majorsA Prehistory of ArithmeticA story problem about a privateer in 19th century American calculus booksAn Approach to Accommodating a Congenitally Blind Student in an Inclusive University Geometry CourseNEWAlgebra in Experimental Courses for TeachersArithmetic Algorithms Taught in Schools (Joint Math Meetings, January 2014)Comparing Two First-Year Algebra Books to Today's "Modern" First-Year Algebra CurriculumContradictions in the Common Core State Standards: Problems and a Possible SolutionCoordinating abstract, physical, and computational aspects of algebra in a single lessonCountingDo students judge mathematical proofs to be valid reasoning?Equity and Quality in Mathematics EducationExplaining Arithmetic AlgorithmsHistory and Theories of Mathematics EducationIntroducing the Notion of Variable to Young Children in Courses for Elementary Teachers Using Counting BoardsNEWThe "Ladder and Box" ProblemLanguage of AlgebraMath 562 Mini-Conference Presentations December 2020NEWMathematical properties of decimal counting boardsMathematics Education Institute March 16-19, 2002Negative numbers in school mathematics — MathFest 2011Number Words and Arithmetic: A story of NumbersOpinions of College Students (Future Teachers) About the Mathematics Taught in Elementary, Middle, and High SchoolPartnership Mathematics Context Courses for Prospective and Practicing Elementary and Middle School TeachersPME-29, July 10-15, 2005, Melbourne, AustraliaProblems in StringologyProofsProjects for liberal arts majorsSimple Syntactic TokensNEWStudents' knowledge of geometric abstractionsSyntactic TokensNEWTactile drawings and 3-D objects: Two keys to geometry for a blind student in an inclusion university course for preservice K-8 teachersNEWTeaching Fractions Using Counting BoardsTeaching the Meaning of Arithmetic in Early Nineteenth-Century England, According to Teacher William RussellTwo Models of Learning the Concept Of Whole NumbersUniversity students' opinions about the mathematics they studied in grades K-12 (2011)University students' opinions about the Mathematics that is taught in grades K-12 (2012)Was John Napier the First Modern Computer Scientist?

Main index of Author's Notes available on the original site.