PRODUCTIVE AMBIGUITY IN THE LEARNING OF MATHEMATICS

what it was they were trying to say At titnes, I suspected that those who loved to speak in vague and colourful ways were situply disguising with purple ...

Productive Ambiguity in the Learning of Mathematics - ERIC

In this paper I take a positive view of ambiguity in the learning of mathematics. Following Grosholz (2007), I argue that it is not only the arts which ...

Productive Ambiguity in Mathematics - UniTS

2 Such an extension is evident in Grosholz's case-study of Galileo's demonstration of pro- jectile motion. See Grosholz (2007), §1.1, pp. 5-16. 3 Grosholz ...

Vol. 31, No. 2, July 2011 of For the Learning of Mathematics on JSTOR

Front Matter · https://www.jstor.org/stable/41319553 ; EDITORIAL · (p. 2). RICHARD BARWELL. https://www.jstor.org/stable/41319554 ; PRODUCTIVE AMBIGUITY IN THE ...

Examples of ambiguity in mathematics : r/math - Reddit

Like, most students think that a line is the equation $y = mx + b$, but even the book will refer to the line as the points or set defined by the ...

Representation and Productive Ambiguity in Mathematics and the ...

An ambiguity is productive when it brings together two very different styles of representation and allows them to be put in a rational relation ...

Representation and Productive Ambiguity in Mathematics and the ...

... One of the two features of the task mentioned above relates to task ambiguity. Research has shown that productive ambiguity enhances students' mathematical ...

Representation and Productive Ambiguity in Mathematics and the ...

1 It would be interesting to learn whether. Grosholz can extend her philosophy of ambiguous signs to deal with these embarrassing ambiguities. Mathematicians ...

Representation and Productive Ambiguity in Mathematics and the ...

Grosholz defends the importance of iconic, as well as symbolic and indexical, signs in mathematical representation, and argues that pragmatic, ...

Representation and Productive Ambiguity in Mathematics and the ...

Synopsis. Emily Grosholz offers an original investigation of demonstration in mathematics and science, examining how it works and why it is persuasive.

Productive ambiguity in unconventional representations: “what the ...

In this paper, we contextualize such difficulties with fractions within the notion of mathematical ambiguity (Byers, 2007; Foster, 2011), and ...

EMILY R. GROSHOLZ. Representation and Productive Ambiguity in ...

PDF | On Jun 25, 2012, B. P. Larvor published EMILY R. GROSHOLZ. Representation and Productive Ambiguity in Mathematics ... learn to do ...

DEFINITIONAL AMBIGUITY: A CASE OF CONTINUOUS FUNCTION

Building on Byers' definition but interpreting it in the context of teaching and learning mathematics, Foster (2011) argued that productive ambiguity is an.

Representation and Productive Ambiguity in Mathematics and the ...

Emily R. Grosholz. Representation and Productive Ambiguity in Mathematics and the Sciences. Oxford: Oxford University Press, 2007. ISBN 978-0-19 ...

Representation and Productive Ambiguity in Mathematics and the ...

It argues that philosophy that employs first-order predicate logic as its prime analytic tool is missing a great deal of importance in ...

Clarifiable Ambiguity in Classroom Mathematics Discourse - ERIC

... ambiguity as a critical aspect of attending to meaning and as a necessary precursor to productive use of student mathematical thinking. We illustrate ...

what the fraction is going on? - ResearchSpace@Auckland

The analysis is presented from the perspective of productive ambiguity, where different types of ambiguity highlight the prospective teachers' mathematical ...

Representation and Productive Ambiguity in Mathematics and the ...

Author(s). Emily R. Grosholz · Publisher. Clarendon Press · Format. Fixed Layout. What's This? · Print ISBN. 9780199299737, 0199299730 · eText ISBN. 9780191538513, ...

Clarifiable Ambiguity in Classroom Mathematics Discourse - CADRE

Student mathematical thinking is at the heart of visions for productive classroom mathematics ... Productive ambiguity in the learning of ...

Representation and productive ambiguity in mathematics and the ...

Viewed this way, the texts yield striking examples of language and notation that are irreducibly ambiguous and productive because they are ambiguous.