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Related Publications
(5)
Two dual assertions: the first on learning and the second on teaching (or v/ce versa)
UNDERSTANDING DATA TABULATION AND REPRESENTATION
The development of algebra: Confronting historical and psychological perspectives
The Nature of the Process Conception of Function
Operational origins of mathematical objects and the quandary of reification  the case of function
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On understanding the notion of function
On understanding the notion of function,A. Sierpinska
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On understanding the notion of function
(
Citations: 67
)
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A. Sierpinska
Published in 1992.
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Citation Context
(34)
...The work of Vinner & Dreyfus (1989) and their description of the concept image are related to the work of
Sierpinska (1992)
who describes typical epistemological obstacles when working with functions...
...Besides in
Sierpinska (1992)
, this obstacle is also described by Freudenthal (1983) in the...
...Some more epistemological obstacles related to functions are (
Sierpinska 1992
): functions are identified with tables and tables are not worth being studied as objects, laws in physics and functions have nothing in common, only relationships describable by an analytic formula are functions...
Andrea Hoffkamp
.
The use of interactive visualizations to foster the understanding of c...
...Twentyone of the 34 openended items in this tool had been used effectively in previous studies to reveal unique insights about the conceptual obstacles students encounter, understandings they lacked, or the reasoning abilities they needed when learning or using the function concept to solve novel problems (
Dubinsky & Harel, 1992
;
Kaput, 1992
;
Leinhardt, Zaslavsky, & Stein, 1990
;
Monk, 1992
;
Sierpinska, 1992
;
Vinner & Dreyfus, 1989
)...
Marilyn Carlson
,
et al.
The Precalculus Concept Assessment: A Tool for Assessing Students’ Rea...
...The main research question investigates the students' awareness of the “discrimination between the concept of function and relation” (Sierpinska
1992
, 49)...
Panagiotis Spyrou
,
et al.
Greek students' understandings of the distinction between function and...
...The different authors emphasize that in the past the graph remained an epistemological obstacle to the notion of function
22
,
23
...
İlyas Yavuz
.
What does a graphical representation mean for students at the beginnin...
...Elia et al. 2006;
Sierpinska 1992;
Yerushalmy 1991) has shown that if students do not fulfil the requisites just mentioned, MER can have a detrimental effect on their mathematical problem solving and learning...
Ana Acevedo Nistal
,
et al.
Conceptualising, investigating and stimulating representational flexib...
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Citations
(67)
The use of interactive visualizations to foster the understanding of concepts of calculus: design principles and empirical results
(
Citations: 2
)
Andrea Hoffkamp
Journal:
Zdm
, vol. 43, no. 3, pp. 359372, 2011
The Precalculus Concept Assessment: A Tool for Assessing Students’ Reasoning Abilities and Understandings
Marilyn Carlson
,
Michael Oehrtman
,
Nicole Engelke
Journal:
Cognition and Instruction  COGNITION INSTRUCT
, vol. 28, no. 2, pp. 113145, 2010
Greek students' understandings of the distinction between function and relation
Panagiotis Spyrou
,
Andonis Zagorianakos
Journal:
Research in Mathematics Education
, vol. 12, no. 2, pp. 163164, 2010
What does a graphical representation mean for students at the beginning of function teaching?
İlyas Yavuz
Journal:
International Journal of Mathematical Education in Science and Technology
, vol. 41, no. 4, pp. 467485, 2010
Conceptualising, investigating and stimulating representational flexibility in mathematical problem solving and learning: a critical review
(
Citations: 7
)
Ana Acevedo Nistal
,
W. Van Dooren
,
G. Clarebout
,
J. Elen
,
L. Verschaffel
Journal:
Zdm
, vol. 41, no. 5, pp. 627636, 2009