PRODUCTIVE AMBIGUITY IN THE LEARNING OF MATHEMATICS

The Power of Babel: When Misunderstanding can be Productive

Foster, C. (2011). Productive Ambiguity in the Learning of Mathematics. For the Learning of Mathematics, 31(2), 3–7. Galison, ...

9 TEACHING FOR MATHEMATICAL PROFICIENCY | Adding It Up

For example, some of these teachers may be attempting to develop students' productive ... her students—ambiguity that in Mr. Hernandez's lesson may be leading to ...

Definitional ambiguity in mathematics: three cases - OUCI

List of references · Borasi, R. (1992). Learning mathematics through inquiry. · Foster, C. (2011). Productive ambiguity in the learning of mathematics. · Jayakody, ...

Math Framework Chapter 2 - California Department of Education

There is little ambiguity ... classroom instruction, teachers must start with productive beliefs about mathematics teaching and learning.

The Association between Productive Struggle and Student ...

The idea of students being able to endure ambiguity ... effective mathematical practices; supporting productive struggle in learning mathematics ...

How Does Language Impact the Learning of Mathematics? Let Me ...

However, the teacher's role in fostering productive mathematical discourse in the classroom is central. ... Ambiguity and paradox in mathematics. The ...

‪Ofer Marmur‬ - ‪Google Scholar‬

Productive ambiguity in unconventional representations:“What the fraction is going on?” ... Which Key Memorable Events are Experienced by Students during Calculus ...

Recognizing Patterns in Productive Failure - ACM Digital Library

Productive Failure in Learning Math. Cognitive Science, Vol. 38, 5 ... In Human Fallibility: The Ambiguity of Errors for Work and ...

Creating productive ambiguity: A visual research narrative - ProQuest

Ambiguity becomes productive when our encounters with difference stimulate curiosity, imagination, and consideration of new possibilities and perspectives.

The Problem with Word Problems - Math for All

Word problems can be confusing. Period. They can be set in an unfamiliar context. They can include superfluous information. They can contain ambiguous language.

Fluency Without Fear - YouCubed

... production of math anxious and disaffected students. It is useful to hold ... Duality, Ambiguity, and Flexibility: A “Proceptual” View of Simple Arithmetic.

Facilitating Productive Struggle in an Online Secondary Education ...

They referred to the ambiguity in the statements as the primary reason for ... Productive struggle in teaching and learning middle school mathematics.

supporting productive struggle in developmental mathematics

... students, but it signals ambiguity. Mason (2002) claims that being attuned to asking students to clarify fosters an appreciation of “what ...

figuring it out: mathematical learning as guided semiotic

mathematical object differently even though they are using similar lexical ... mathematical discourse, so that fostering such ambiguity in classroom discourse may ...

Wonder in Mathematics – [verb] + [noun]: Wondering about and ...

Escaping the twin traps of ambiguity and certainty ... I propose four dimensions for thinking about how to help students develop a productive disposition towards ...

Implementing Mathematical Language Routines from Simple ...

... ambiguous term or phrase, or an informal way of expressing a mathematical idea. 2. PROMPT: Prompt students to identify the error(s) or ambiguity, analyze.

Do We Want Our Students to Struggle? - Education Rickshaw

... teaching and learning. There are several areas of research ... As the term “Productive Struggle” comes with a lot of baggage and ambiguity ...

Association of Ambiguity Tolerance and Problem-solving Ability of ...

Development of problem-solving ability among students is one of the main goals of mathematics education. This study investigated the association between ...

Relationships with mathematics: the importance of agency and ...

These authors also found that this particular authority dynamic can hinder the productivity of collaborative learning efforts. For example, when students are ...

Learning the Language of Math: Improving Problem Solving and ...

Teach and model a structured, yet flexible approach to problem solving that is characterized by productive struggle and a tolerance for ambiguity; Utilize a ...