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Browsing by Author "Craig, Tracy S"

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Addressing dualism in mathematical abstraction: An argument for the role of Construal Level Theory in mathematics education

Author: Torr, Stuart ; Craig, Tracy S Date: Nov 2013 Learners of mathematics often struggle to balance the apparently conflicting demands for abstract thinking as well as (often simultaneous) concrete cognitive engagement. Conflicting demands of successful mathematical engagement have been ... Read more
Categorisation and analysis of explanatory writing in mathematics

Author: Craig, Tracy S Date: 2011 The aim of this paper is to present a scheme for coding and categorising students’ written explanations of mathematical problem-solving activities. The scheme was used successfully within a study project carried out to determine whether student ... Read more
Conceptions of mathematics and student identity: implications for engineering education

Author: Craig, Tracy S Date: 2013 Lecturers of first-year mathematics often have reason to believe that students enter university studies with naive conceptions of mathematics and that more mature conceptions need to be developed in the classroom. Students' conceptions of the ... Read more
Construal level theory and mathematics education

Author: Torr, Stuart Date: 2013 A common complaint of mathematics students is that mathematics is highly abstract. Students often find it difficult to attach meaning to the mathematical concepts they are expected to master. In addition to coming to grips with the abstract ... Read more
Development of an engineering identity: Personal discovery of classroom mathematics in “real engineering”

Author: Craig, Tracy S Date: 2010 This article reports on an activity in a first-year engineering mathematics class designed to strengthen students’ personal identities as novice engineers. The literature on identity suggests that students are more likely to be retained in ... Read more c b
Enabling Capabilities in an Engineering Extended Curriculum Programme

Author: Craig, Tracy S Date: Sep 2017 Read more
Language and communication in mathematics education: an overview of research in the field

Author: Morgan, Candia ; Craig, Tracy S ; Schütte, Marcus ; Wagner, David Date: Oct 2014 Within the field of mathematics education, the central role language plays in the learning, teaching, and doing of mathematics is increasingly recognized, but there is not agreement about what this role (or these roles) might be or even about ... Read more
Learning as acquiring a discursive identity through participation in a community: improving student learning in engineering education

Author: Allie, Saalih ; Armien, Mogamat Noor ; Burgoyne, Nicolette ; Case, Jennifer M ; Collier-Reed, Brandon I ; Craig, Tracy S ; Deacon, Andrew ; Fraser, Duncan M ; Geyer, Zulpha ; Jacobs, Cecilia ; Jawitz, Jeff ; Kloot, Bruce ; Kotta, Linda ; Langdon, Genev Date: 2009 In this paper, we propose that learning in engineering involves taking on the discourse of an engineering community, which is intimately bound up with the identity of being a member of that community. This leads to the notion of discursive ... Read more
Mathematical, cognitive and didactic elements of the multiplicative conceptual field investigated within a Rasch assessment and measurement framework

Author: Long, Margaret Caroline Date: 2011 How may the essential elements of a framework including mathematical, cognitive, and didactic elements, and applied in the multiplicative conceptual field, address the challenges in mathematics education, and inform the curriculum and the ... Read more
Meeting the requirements of both classroom-based and systemic assessment of mathematics proficiency: the potential of Rasch measurement theory

Author: Dunne, Tim ; Long, Caroline ; Craig, Tracy S ; Venter, Elsie Date: 2012 The challenges inherent in assessing mathematical proficiency depend on a number of factors, amongst which are an explicit view of what constitutes mathematical proficiency, an understanding of how children learn and the purpose and function ... Read more c b
A new selection model for the academic development programme for engineering at UCT

Author: Campbell, Anita ; Craig, Tracy S ; le Roux, Pierre Date: 16 Feb 2018 The Academic Support Programme for Engineering at the University of Cape Town (ASPECT) has operated under a slowly evolving model since its inception in 1989. Different models of access and curriculum are frequently under consideration and ... Read more c b
Observations and Conclusions of Dynamics Students’ Mathematical Fluency

Author: Craig, Tracy S ; Cloete, Trevor J Date: 29 Jul 2015 The course Dynamics I in mechanical engineering is a challenging course for many reasons, one of them being its mathematical demands. A collaboration between the first author (a mathematics lecturer and mathematics education researcher) and ... Read more
Proficiency in the multiplicative conceptual field: using Rasch measurement to identify levels of competence

Author: Long, Caroline ; Dunne, Tim ; Craig, Tracy S Date: 2010 In the transition years, Grades 7 to 9, the shift from natural numbers to rational numbers and the associated multiplicative concepts prove challenging for many learners. The new concepts, operations and notation must be mastered if the student ... Read more
Promoting understanding in mathematical problem-solving through writing : a Piagetian analysis

Author: Craig, Tracy S Date: 2007 Includes bibliographical references (leaves 204-221). Read more
The role of expository writing in mathematical problem solving

Author: Craig, Tracy S Date: Apr 2016 Mathematical problem-solving is notoriously difficult to teach in a standard university mathematics classroom. The project on which this article reports aimed to investigate the effect of the writing of explanatory strategies in the context ... Read more
Simple rule, hidden meaning: the scalar product in engineering mathematics

Author: Craig, Tracy S ; Cloete, Trevor J Date: 13 Sep 2017 Engineering is a highly mathematical field of study with different university courses requiring proficiency at different types of mathematics. Engineering dynamics requires the skilful use of vectors in various ways and proficiency at vector ... Read more
Student identity and the need to make classroom mathematics relevant to engineering practice

Author: Craig, Tracy S Date: 29 Jul 2015 Cobb and Hodge’s (2005) identity theoretical framework suggests that learning is facilitated if normative identity (realised and co-constructed in the classroom by lecturer and student) is reconciled with core identity (the trajectory of who ... Read more
Successful students’ negotiation of township schooling in contemporary South Africa

Author: Kapp, Rochelle ; Badenhorst, Elmi ; Bangeni, Bongi ; Craig, Tracy S ; Janse van Rensburg, Vicki ; le Roux, Kate ; Prince, Robert ; Pym, June ; van Pletzen, Ermien Date: Sep 2014 This article draws on data from a larger longitudinal qualitative case study which is tracking the progress of students over the course of their undergraduate degrees at a South African university. For this paper, we used background questionnaires ... Read more