Anderson Norton

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All published works

Action	Title	Year	Authors
+	Genetic Epistemology as a Complex and Unified Theory of Knowing	2024	Anderson Norton
+	Groups and Group-Like Structures	2024	Anderson Norton
+ PDF Chat	Seeing Pascal’s Mystic Hexagon from a Different Angle	2023	Anderson Norton
+	Unit Transformation Graphs: Modeling Students’ Mathematics in Meeting the Cognitive Demands of Fractions Multiplication Tasks	2023	Anderson Norton Catherine Ulrich Sarah Kerrigan
+ PDF Chat	A stage-sensitive written measure of multiplicative double counting for grades 3-8	2022	Ron Tzur Heather L. Johnson Alan Davis Nicola M. Hodkowski Cody Jorgensen Bingqian Wei Anderson Norton
+ PDF Chat	Identifying mental actions for abstracting the logic of conditional statements	2022	Paul Christian Dawkins Anderson Norton
+	Addressing the Cognitive Gap in Mathematical Induction	2022	Anderson Norton Rachel Arnold Vladislav Kokushkin Marcie Tiraphatna
+	What Is Number?	2022	Anderson Norton
+	What's So Special About Special Triangles?	2022	Anderson Norton
+	The Psychology of Mathematics	2022	Anderson Norton
+	The Geometry of Numbers	2022	Anderson Norton
+	Construction of subitized units is related to the construction of arithmetic units	2021	Jesse L. M. Wilkins Beth L. MacDonald Anderson Norton
+	Children’s Spontaneous Additive Strategy Relates to Multiplicative Reasoning	2021	Ron Tzur Heather L. Johnson Anderson Norton Alan Davis Xin Wang Michael J. Ferrara C. Lee Harrington Nicola M. Hodkowski
+	Ranking the cognitive demand of fractions tasks	2020	Sarah Kerrigan Anderson Norton Catherine Ulrich
+	Numeracy for All Learners: Teaching Mathematics to Students with Special Needs. Math Recovery Series.	2020	Pamela D. Tabor Dawn Dibley Amy J. Hackenberg Anderson Norton
+	Children’s number sequences as predictors of later mathematical development	2020	Jesse L. M. Wilkins David R. Woodward Anderson Norton
+ PDF Chat	Maddie's units coordinating across contexts	2019	Steven Boyce Anderson Norton
+ PDF Chat	Examining Mathematics Anxiety of Undergraduates Using a Brain-Based Measurement, EEG	2019	Anderson Norton Youngmin Seok Sang-Sook Choi-Koh
+	Mathematics as a Coordination of (Inter)Actions	2019	Anderson Norton
+	Synergizing Research on Constructing Number: Themes and Prospects	2018	Martha W. Alibali Anderson Norton
+	Discerning a Progression in Conceptions of Magnitude During Children’s Construction of Number	2018	Catherine Ulrich Anderson Norton
+	Mathematics in Action	2018	Anderson Norton Martha W. Alibali
+ PDF Chat	Fostering construction of a meaning for multiplication that subsumes whole-number and fraction multiplication: A study of the Learning Through Activity research program	2018	Martin A. Simon Melike Kara Anderson Norton Nicora Placa
+	Frameworks for modeling students’ mathematics	2018	Anderson Norton
+	Promoting sophisticated fraction constructs through instructional changes in a mathematics course for PreK-8 prospective teachers	2018	Alexis Stevens Jesse L. M. Wilkins LouAnn H. Lovin John Siegfried Anderson Norton Richard Busi
+	Mathematics at Hand	2018	Anderson Norton Catherine Ulrich Martha Ann Bell Anthony D. Cate
+ PDF Chat	Learning progression toward a measurement concept of fractions	2018	Jesse L. M. Wilkins Anderson Norton
+ PDF Chat	Bridging frameworks for understanding numerical cognition	2018	Anderson Norton Julie Nurnberger‐Haag
+	Brief Report: A Progression of Fraction Schemes Common to Chinese and U.S. Students	2018	Anderson Norton Jesse L. M. Wilkins Cong ze Xu
+	Perspectives on the Nature of Mathematics.	2018	Anderson Norton
+	Pre-K-8 prospective teachers’ understanding of fractions: An extension of fractions schemes and operations research	2016	LouAnn H. Lovin Alexis Stevens John Siegfried Jesse L. M. Wilkins Anderson Norton
+ PDF Chat	Co-construction of fractions schemes and units coordinating structures	2015	Steven Boyce Anderson Norton
+ PDF Chat	Provoking the construction of a structure for coordinating n+ 1 levels of units	2015	Anderson Norton Steven Boyce
+	An Investigation of PreK-8 Preservice Teachers' Construction of Fraction Schemes and Operations.	2015	Rich Busi LouAnn H. Lovin Anderson Norton John Siegfried Alexis Stevens Jesse L. M. Wilkins
+	The Wonderful Gift of Mathematics.	2015	Anderson Norton
+	A Written Instrument for Assessing Students’ Units Coordination Structures	2015	Anderson Norton Steven Boyce Nathan C. Phillips Tessa Anwyll Catherine Ulrich Jesse L. M. Wilkins
+ PDF Chat	Students’ units coordination activity: A cross-sectional analysis	2015	Anderson Norton Steven Boyce Catherine Ulrich Nathan C. Phillips
+	The effects of an educational video game on mathematical engagement	2015	Mido Chang Michael A. Evans Sunha Kim Anderson Norton Kirby Deater‐Deckard Yavuz Samur
+	MATHEMATICS IN MIND, BRAIN, AND EDUCATION: A NEO-PIAGETIAN APPROACH	2014	Anderson Norton Kirby Deater‐Deckard
+ PDF Chat	Technology Helps Students Transcend Part-Whole Concepts	2014	Anderson Norton Jesse L. M. Wilkins Michael A. Evans Kirby Deater‐Deckard Osman Balcı Mido Chang
+	A cognitive core for common state standards	2013	Anderson Norton Steven Boyce
+	Supporting Students’ Constructions of the Splitting Operation	2013	Anderson Norton Jesse L. M. Wilkins
+	Validating a Written Instrument for Assessing Students' Fractions Schemes and Operations	2013	Jesse L. M. Wilkins Anderson Norton Steven Boyce
+	Supporting Students' Constructions of Fractions Schemes: Is There an App for That, Too?	2012	Anderson Norton Jesse L. M. Wilkins Steven Boyce
+	The Splitting Group	2012	Anderson Norton Jesse L. M. Wilkins
+	Relationships Between the Process Standards: Process Elicited Through Letter Writing Between Preservice Teachers and High School Mathematics Students	2012	Karl W. Kosko Anderson Norton
+	Does 0.999... Really Equal 1	2012	Anderson Norton Michael Baldwin
+	The Splitting Loope	2011	Jesse L. M. Wilkins Anderson Norton
+	Prediction assessments: Using video-based predictions to assess prospective teachers’ knowledge of students’ mathematical thinking	2011	Anderson Norton Andrea McCloskey Rick A. Hudson
+	Students’ partitive reasoning	2010	Anderson Norton Jesse L. M. Wilkins
+	Measuring Task Posing Cycles: Mathematical Letter Writing between Algebra Students and Preservice Teachers.	2010	Anderson Norton Zachary Rutledge
+	Continuing Research on Students’ Fraction Schemes	2009	Anderson Norton Amy J. Hackenberg
+	Using Steffe's Advanced Fraction Schemes	2009	Andrea McCloskey Anderson Norton
+	A quantitative analysis of children's splitting operations and fraction schemes	2009	Anderson Norton Jesse L. M. Wilkins
+	Modeling Students' Mathematics Using Steffe's Fraction Schemes	2008	Anderson Norton Andrea McCloskey
+	Josh's Operational Conjectures: Abductions of a Splitting Operation and the Construction of New Fractional Schemes	2008	Anderson Norton
+	What's on Your Nation's Report Card?	2007	Anderson Norton
+	Equations with Parameters: A Locus Approach	2006	Sergei Abramovich Anderson Norton
+	Students' conjectural operations	2004	Anderson Norton
+	Bridging Transformational Geometry and Matrix Algebra with a Spreadsheet-Based Tool Kit	2001	Anderson Norton Sergei Abramovich
+	Mathematicians' Religious Affiliations and Professional Practices: The Case of Bo	2001	Anderson Norton

Common Coauthors

Coauthor	Papers Together
Jesse L. M. Wilkins	16
Steven Boyce	7
Catherine Ulrich	6
John Siegfried	3
Andrea McCloskey	3
Kirby Deater‐Deckard	3
LouAnn H. Lovin	3
Alexis Stevens	3
Michael A. Evans	2
Amy J. Hackenberg	2
Martha W. Alibali	2
Sarah Kerrigan	2
Heather L. Johnson	2
Mido Chang	2
Nicola M. Hodkowski	2
Ron Tzur	2
Alan Davis	2
Nathan C. Phillips	2
Sergei Abramovich	2
Paul Christian Dawkins	1
Beth L. MacDonald	1
Youngmin Seok	1
David R. Woodward	1
Anthony D. Cate	1
Julie Nurnberger‐Haag	1
Bingqian Wei	1
Sang-Sook Choi-Koh	1
Martha Ann Bell	1
Michael Baldwin	1
Richard Busi	1
Xin Wang	1
Michael J. Ferrara	1
Steven Boyce	1
Marcie Tiraphatna	1
Melike Kara	1
Pamela D. Tabor	1
Karl W. Kosko	1
Tessa Anwyll	1
Yavuz Samur	1
Sunha Kim	1
Cody Jorgensen	1
Martin A. Simon	1
Rich Busi	1
Nicora Placa	1
Cong ze Xu	1
Rachel Arnold	1
Rick A. Hudson	1
Dawn Dibley	1
Osman Balcı	1
Vladislav Kokushkin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Units coordination and the construction of improper fractions: A revision of the splitting hypothesis	2007	Amy J. Hackenberg	24
+	A new hypothesis concerning children’s fractional knowledge	2001	Leslie P. Steffe	23
+	Making sense of instruction on fractions when a student lacks necessary fractional schemes: The case of Tim	2005	John Olive Eugenia Vomvoridi	17
+	Students’ whole number multiplicative concepts: A critical constructive resource for fraction composition schemes	2009	Amy J. Hackenberg Erik Tillema	16
+	The Splitting Group	2012	Anderson Norton Jesse L. M. Wilkins	16
+	Students’ Reasoning With Reversible Multiplicative Relationships	2010	Amy J. Hackenberg	16
+	An Integrated Study of Children's Construction of Improper Fractions and the Teacher's Role in Promoting That Learning	1999	Ron Tzur	14
+	From Fractions to Rational Numbers of Arithmetic: A Reorganization Hypothesis	1999	John Olive	14
+	The Splitting Loope	2011	Jesse L. M. Wilkins Anderson Norton	13
+	A quantitative analysis of children's splitting operations and fraction schemes	2009	Anderson Norton Jesse L. M. Wilkins	13
+	Schemes of action and operation involving composite units	1992	Leslie P. Steffe	13
+	Building on Informal Knowledge through Instruction in a Complex Content Domain: Partitioning, Units, and Understanding Multiplication of Fractions	2001	Nancy K. Mack	11
+	Michael's Fraction Schemes	1994	Adalira Sáenz-Ludlow	11
+ PDF Chat	The Measurement of Observer Agreement for Categorical Data	1977	J. Richard Landis Gary G. Koch	11
+	The construction of an iterative fractional scheme: the case of Joe	2001	John Olive Leslie P. Steffe	11
+	Fractions and multiplicative reasoning	2003	Patrick W Thompson Luis Saldanha	10
+	A review of recent research in the area of initial fraction concepts	1996	Anne Pitkethly Robert P. Hunting	10
+	Relationships Between Students' Fractional Knowledge and Equation Writing	2015	Amy J. Hackenberg Mi Yeon Lee	10
+	On the Construction of Learning Trajectories of Children: The Case of Commensurate Fractions	2004	Leslie P. Steffe	9
+	Fractional commensurate, composition, and adding schemes	2003	Leslie P. Steffe	9
+	A research companion to Principles and standards for school mathematics	2003	Jeremy Kilpatrick W. Gary Martin Deborah Schifter	9
+	Students’ partitive reasoning	2010	Anderson Norton Jesse L. M. Wilkins	9
+	Learners’ Difficulties with Quantitative Units in Algebraic Word Problems and the Teacher’s Interpretation of those Difficulties	2007	John Olive Günhan Çağlayan	8
+	Recent Research on Number Learning	1982	Merlyn J. Behr Thomas E. Kieren	8
+	Fine grain assessment of students’ mathematical understanding: participatory and anticipatory stagesin learning a new mathematical conception	2007	Ron Tzur	7
+	A cognitive core for common state standards	2013	Anderson Norton Steven Boyce	7
+ PDF Chat	Provoking the construction of a structure for coordinating n+ 1 levels of units	2015	Anderson Norton Steven Boyce	7
+	Fractions in Realistic Mathematics Education: A Paradigm of Developmental Research	1991	Leen Streefland	7
+	Measuring Mathematical Knowledge for Teaching Fractions With Drawn Quantities	2012	Andrew Izsák Erik Jacobson Zandra de Araujo Chandra Hawley Orrill	7
+	Michael's Fraction Schemes	1994	Adalira Sáenz-Ludlow	7
+	From fractions to proportional reasoning: a cognitive schemes of operation approach	2003	Wanda Nabors	7
+	Alan: A Case Study of Knowledge of Units and Performance with Fractions	1983	Robert P. Hunting	6
+	The fractional knowledge and algebraic reasoning of students with the first multiplicative concept	2013	Amy J. Hackenberg	6
+	The Influence of Reasoning with Emergent Quantities on Students' Generalizations	2007	Amy B. Ellis	6
+	Josh's Operational Conjectures: Abductions of a Splitting Operation and the Construction of New Fractional Schemes	2008	Anderson Norton	6
+	Supporting Students’ Constructions of the Splitting Operation	2013	Anderson Norton Jesse L. M. Wilkins	6
+	Construction of Arithmetical Meanings and Strategies	1988	Leslie P. Steffe Paul Cobb	6
+	Where's the Evidence?	2001	Jeremy Kilpatrick	5
+	Splitting, Covariation, and Their Role in the Development of Exponential Functions	1995	Jere Confrey Erick Smith	5
+	Reconstructing Mathematics Pedagogy from a Constructivist Perspective	1995	Martin A. Simon	5
+	Conceptualizing and organizing content for teaching and learning in selected Chinese, Japanese and US mathematics textbooks: the case of fraction division	2009	Yeping Li Xi Chen Song A. An	5
+	Rational number, ratio and proportion	1992	Merilyn J. Behr Guershon Harel Thomas R. Post Richard Lesh	5
+	Rational number concepts	1983	Merlyn J. Behr Richard Lesh Thomas R. Post Edward A. Silver	5
+	The Child's Conception of Number	1953	E. A. Peel J. Piaget	5
+	Splitting, Covariation, and Their Role in the Development of Exponential Functions	1995	Jere Confrey Erick Smith	5
+	Children's Number Sequences: An Explanation of Steffe's Constructs and an Extrapolation to Rational Numbers of Arithmetic	2000	John Olive	5
+	Validating a Written Instrument for Assessing Students' Fractions Schemes and Operations	2013	Jesse L. M. Wilkins Anderson Norton Steven Boyce	4
+	Using Steffe's Advanced Fraction Schemes	2009	Andrea McCloskey Anderson Norton	4
+	Comparing the Development of Fractions in the Fifth- and Sixth-Graders' Textbooks of Singapore, Taiwan, and the USA	2010	Der‐Ching Yang Robert E. Reys WU Li-lin	4
+ PDF Chat	Co-construction of fractions schemes and units coordinating structures	2015	Steven Boyce Anderson Norton	4