Technology as a Tool for Teaching Undergraduate Mathematics

Thomas, Michael; Holton, Derek

doi:10.1007/978-94-010-0273-8_12

Cited by 22 publications

(10 citation statements)

References 63 publications

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“…Deeper changes to curriculum or pedagogy have occurred at some places and at some times, but not consistently. (Thomas and Holton 2003). The situation with secondary schools has been different.…”

mentioning

confidence: 99%

Mapping Pedagogical Opportunities Provided by Mathematics Analysis Software

Pierce

Stacey

2010

Int J Comput Math Learning

114

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This paper proposes a taxonomy of the pedagogical opportunities that are offered by mathematics analysis software such as computer algebra systems, graphics calculators, dynamic geometry or statistical packages. Mathematics analysis software is software for purposes such as calculating, drawing graphs and making accurate diagrams. However, its availability in classrooms also provides opportunities for positive changes to teaching and learning. Very many examples are documented in the professional and research literature, and in this paper we organize them into 10 types. These are displayed in the form of a 'pedagogical map', which further classifies them according to whether the opportunity arises from new opportunities for the mathematical tasks used, change to interpersonal aspects of the classroom or change to the point of view on mathematics as a subject. The map can be used in teacher professional development to draw attention to possibilities for lessons or as a catalyst for professional discussion. For research on teaching, it can be used to map current practice, or to track professional growth. The intention of the map is to summarise the potential benefits of teaching with technology in a form that may be useful for both teachers and researchers.

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confidence: 99%

Mapping Pedagogical Opportunities Provided by Mathematics Analysis Software

Pierce

Stacey

2010

Int J Comput Math Learning

114

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“…At the end of the course, however, students prefer to use GC, for the very reasons we noted in the previous paragraph-the mathematics is live. We believe that what happens is best captured by what Verillon and others have called instrumentation (Artigue, 2002;Thomas & Holton, 2003;Vérillon & Rabardel, 1995;Zehavi, 2004). By instrumentation, Verillon and Rabardel mean that people get to know an object or artifact through using it to the point that its affordances and constraints become part of their thinking and reasoning.…”

Section: Why This Approach Is Impossible Without Technologymentioning

confidence: 99%

A Conceptual Approach to Calculus Made Possible by Technology

Thompson

Byerley

Hatfield

2013

Computers in the Schools

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“…A variety of studies, such as those by [11] and [12] have examined teaching practices using CAS. Looking beyond the field of mathematics and into that of Information Theory, it is our belief that interactive and contextualized teaching and learning is the way forward.…”

Section: A Review Of Learning Stylesmentioning

confidence: 99%

Information Theory: Learning through example

May

Papademetriou

2012

2012 International Conference on E-Learning and E-Technologies in Education (ICEEE)

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Abstract-In this paper, the perceived difficulty for students learning purely through auditory and visual means, such as via the standard lecture format, is highlighted through a literature review of learning styles and methods, and a solution based upon interactive computer case-based learning through worksheets is proposed. A brief history of Information Theory is discussed and a review of the various software packages available is made and Mathematica selected. The contents of the worksheets are described and conclusions made.

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Technology as a Tool for Teaching Undergraduate Mathematics

Abstract: ABSTRACT

Cited by 22 publications

References 63 publications

Mapping Pedagogical Opportunities Provided by Mathematics Analysis Software

Mapping Pedagogical Opportunities Provided by Mathematics Analysis Software

A Conceptual Approach to Calculus Made Possible by Technology

Information Theory: Learning through example

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