Michal Ayalon

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All published works

Action	Title	Year	Authors
+	How novice mathematics teacher-educators notice the mathematical and pedagogical thinking of preservice mathematic teachers: An emerging model	2025	Mayssa Hayeen-Halloun Michal Ayalon
+	Constructing coherency levels to understand connections among the noticing skills of pre-service mathematics teachers	2023	Sigal-Hava Rotem Michal Ayalon
+ PDF Chat	Exploring Israeli high school graduates’ explanations for the spread of the coronavirus	2021	Sigal-Hava Rotem Michal Ayalon
+	Exploring secondary students’ conceptualization of functions in three curriculum contexts	2019	Michal Ayalon Karina J. Wilkie
+	Students’ identification and expression of relations between variables in linear functions tasks in three curriculum contexts	2019	Michal Ayalon Karina J. Wilkie
+	Investigating Years 7 to 12 students’ knowledge of linear relationships through different contexts and representations	2018	Karina J. Wilkie Michal Ayalon
+	Learning to assess: exploring changes to pre-service teachers'criteria for a quadratics task	2018	Michal Ayalon Karina J. Wilkie
+	Comparison of students’ understanding of functions in classes following English and Israeli national curricula	2017	Anne Watson Michal Ayalon Stephen Lerman
+	Can designed student responses support teachers to interact with students in a productive way	2017	Sheila Evans Michal Ayalon
+	Can designed student responses support teachers to interact with students in a productive way?: a report from the Formative Assessment Working Group (2015 ISDDE conference)	2016	Sheila Evans Michal Ayalon
+	Reasoning about variables in 11 to 18 year olds: informal, schooled and formal expression in learning about functions	2016	Michal Ayalon Anne Watson Steve Lerman
+	Teachers Editing Textbooks: Transforming Conventional Connections Among Teachers, Textbook Authors, and Mathematicians	2016	Ruhama Even Michal Ayalon Shaï Olsher
+	Functions represented as linear sequential data: relationships between presentation and student responses	2015	Michal Ayalon Anne Watson Steve Lerman
+	Progression Towards Functions: Students’ Performance on Three Tasks About Variables from Grades 7 to 12	2015	Michal Ayalon Anne Watson Steve Lerman
+	STUDENTS’ OPPORTUNITIES TO ENGAGE IN TRANSFORMATIONAL ALGEBRAIC ACTIVITY IN DIFFERENT BEGINNING ALGEBRA TOPICS AND CLASSES	2014	Michal Ayalon Ruhama Even
+	MATHEMATICS EDUCATORS’ VIEWS ON THE ROLE OF MATHEMATICS LEARNING IN DEVELOPING DEDUCTIVE REASONING	2010	Michal Ayalon Ruhama Even
+	OFFERING PROOF IDEAS IN AN ALGEBRA LESSON IN DIFFERENT CLASSES AND BY DIFFERENT TEACHERS	2010	Michal Ayalon Ruhama Even

Common Coauthors

Coauthor	Papers Together
Ruhama Even	4
Anne Watson	4
Karina J. Wilkie	4
Steve Lerman	3
Sigal-Hava Rotem	2
Sheila Evans	2
Shaï Olsher	1
Stephen Lerman	1
Mayssa Hayeen-Halloun	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Splitting, Covariation, and Their Role in the Development of Exponential Functions	1995	Jere Confrey Erick Smith	8
+	Splitting, Covariation, and Their Role in the Development of Exponential Functions	1995	Jere Confrey Erick Smith	8
+	Exponential Functions, Rates of Change, and the Multiplicative Unit	1994	Jere Confrey Erick Smith	6
+	Validating a Learning Progression in Mathematical Functions for College Readiness	2011	Diana Bernbaum Wilmot Alan H. Schoenfeld Mark Wilson Danielle Champney William Zahner	6
+	Exponential functions, rates of change, and the multiplicative unit	1994	Jere Confrey Erick Smith	6
+	Progression Towards Functions: Students’ Performance on Three Tasks About Variables from Grades 7 to 12	2015	Michal Ayalon Anne Watson Steve Lerman	5
+	None	1996	David Slavit	5
+	Images of rate and operational understanding of the fundamental theorem of calculus	1994	Patrick W Thompson	5
+	Applying Covariational Reasoning While Modeling Dynamic Events: A Framework and a Study	2002	Marilyn P. Carlson Sally Jacobs Edward Coe Sean Larsen Eric Hsu	5
+	The Concept of function : aspects of epistemology and pedagogy	1992	Ed Dubinsky Guershon Harel	4
+	Not Everything Is Proportional: Effects of Age and Problem Type on Propensities for Overgeneralization	2005	Wim Van Dooren Dirk De Bock An Hessels Dirk Janssens Lieven Verschaffel	4
+	Images and Definitions for the Concept of Function	1989	Shlomo Vinner Tommy Dreyfus	4
+	Functions represented as linear sequential data: relationships between presentation and student responses	2015	Michal Ayalon Anne Watson Steve Lerman	4
+ PDF Chat	Revealing educationally critical aspects of rate	2011	Sandra Herbert Robyn Pierce	4
+	Seventh-grade students’ representations for pictorial growth and change problems	2007	Diana F. Steele	4
+	Middle school children’s cognitive perceptions of constructive and deconstructive generalizations involving linear figural patterns	2007	F. D. Rivera Joanne Rossi Becker	3
+	Students’ use of variables and multiple representations in generalizing functional relationships prior to secondary school	2016	Karina J. Wilkie	3
+	5 Representational Thinking as a Framework for Introducing Functions in the Elementary Curriculum	2017	Erick Smith	3
+	Use of situations in mathematics education	1981	Claude Janvier	3
+	Functional Thinking as a Route Into Algebra in the Elementary Grades	2011	Maria Blanton James J. Kaput	3
+	On the dual nature of mathematical conceptions: Reflections on processes and objects as different sides of the same coin	1991	Anna Sfard	3
+	None	2003	Mirosława Sajka	2
+	Characterizing pivotal teaching moments in beginning mathematics teachers’ practice	2012	Shari L. Stockero Laura R. Van Zoest	2
+	ENACTED TYPES OF ALGEBRAIC ACTIVITY IN DIFFERENT CLASSES TAUGHT BY THE SAME TEACHER	2010	Tammy Eisenmann Ruhama Even	2
+ PDF Chat	Proof and Proving in Mathematics Education	2006	Maria Alessandra Mariotti	2
+	ZDM - The International Journal on Mathematics Education	2008	Gilah C. Leder Helen Forgasz	2
+	Professional Noticing of Children's Mathematical Thinking	2010	Victoria R. Jacobs Lisa Lamb Randolph A. Philipp	2
+	How students understand aspects of linearity: searching for obstacles in representational flexibility	2012	Wim Van Dooren Dirk De Bock Lieven Verschaffel	2
+	Key ideas in teaching mathematics: research-based guidance for ages 9–19	2014	Rachel Marks	2
+	Generalising the pattern rule for visual growth patterns: Actions that support 8 year olds’ thinking	2007	Elizabeth Warren Tom Cooper	2
+	Using patterns generically to see structure	2010	Dietmar Küchemann	2
+	Theorems that admit exceptions, including a remark on Toulmin	2008	Hans Niels Jahnke	2
+	En route from patterns to algebra: comments and reflections	2007	Willi Dörfler	2
+	Children’s Use of Variables and Variable Notation to Represent Their Algebraic Ideas	2015	Bárbara M. Brizuela Maria Blanton Katharine Sawrey Ashley Newman-Owens Angela Murphy Gardiner	2
+	A Cognitive Analysis of Problems of Comprehension in a Learning of Mathematics	2006	Raymond Duval	2
+	Contingency in the Mathematics Classroom: Opportunities Taken and Opportunities Missed	2013	Tim Rowland Rina Zazkis	2
+	None	1999	Koeno Gravemeijer Michiel Doorman	2
+	Trends in the development of student level of reasoning in pattern generalization tasks across grade level	2013	Murad E. Jurdak Rabih El Mouhayar	2
+	Subject matter knowledge for teaching and the case of functions	1990	Ruhama Even	1
+	Competing Arguments for the Geometry Course: Why Were American High School Students Supposed to Study Geometry in the Twentieth Century?	2006	Gloriana González Patricio Herbst	1
+	Grade 6 Students' Preinstructional Use of Equations to Describe and Represent Problem Situations	2000	Jane O. Swafford Cynthia W. Langrall	1
+	Transfer in Pieces	2006	Joseph F. Wagner	1
+ PDF Chat	Establishing a custom of proving in american school geometry: evolution of the two-column proof in the early twentieth century	2002	Patricio Herbst	1
+	Investigating the Guidance Offered to Teachers in Curriculum Materials: The Case of Proof in Mathematics	2007	Gabriel J. Stylianides	1
+	Mathematics as a Constructive Activity: Learners Generating Examples	2005	Anne Watson John Mason	1
+	Symbol Sense: Informal Sense-Making in Formal Mathematics.	1994	Abraham Arcavi	1
+	A Functional Approach to Algebra: Two Issues that Emerge	1996	Ricardo Nemirovsky	1
+	A Conceptual Approach to Calculus Made Possible by Technology	2013	Patrick W Thompson Cameron Byerley Neil Hatfield	1
+	Dual Processes in the Psychology of Mathematics Education and Cognitive Psychology	2009	Ellen Gillard Wim Van Dooren Walter Schaeken Lieven Verschaffel	1
+	Engaging Students in Proving: A Double Bind on the Teacher	2002	Patricio Herbst	1