This paper articulates a perspective on learning to discuss ways in which students develop personal sense and negotiate meaning in a middle school algebra context. Building on a sociocultural perspective that incorporates mental objects, learning is described as a mutually dependent process involving personal sense making and the public negotiation of meaning. Analysis of student problem solvin...

Abstract The last decade has witnessed increasing interest in the study of teacher noticing mathematics education research; however, little is known about growth and how it influenced by teaching practice. Departing from expert-novice-paradigm, this paper we address research gap a cross-sectional that investigates Chinese teachers’ affected their developmental stage, measured length experience....

This paper considers the issue of 'noticing' in second language acquisition, and argues for the potential of handheld devices to: (i) support language learners in noticing and recording noticed features 'on the spot', to help them develop their second language system; (ii) help language teachers better understand the specific difficulties of individuals or those from a particular language backg...

This paper considers the issue of 'noticing' in second language acquisition, and argues for the potential of handheld devices to: (i) support language learners in noticing and recording noticed features 'on the spot', to help them develop their second language system; (ii) help language teachers better understand the specific difficulties of individuals or those from a particular language backg...

This paper considers the issue of 'noticing' in second language acquisition, and argues for the potential of handheld devices to: (i) support language learners in noticing and recording noticed features 'on the spot', to help them develop their second language system; (ii) help language teachers better understand the specific difficulties of individuals or those from a particular language backg...

High-similarity concept pairs that elicit many commonalities also elicit many related differences (Gentner & Markman, 1994; A. B. Markman & Gentner, 1993a, 1993b, 1996; A. B. Markman & Wisniewski, 1997). This finding has been used to support the claim that the comparison process is one of structural alignment. However, it is possible that the difference advantage results from some other propert...