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Table of Contents:
The Final Framework:
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Technology as Tool: Critical Perspectives
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Purpose: To raise awareness of critique in relation to the adoption technologies in education.
References: 11, 12, 13
- Are computers and graphics calculators in mathematics education portrayed as value-neutral tools, to aid the autonomous, rational learner in developing higher-order thinking skills which enable the processing and interpretation of data in problem-solving exercises, and ultimately the accumulation of cultural capital? [technicist/modernist viewpoint]
- Does the use of computers and graphics calculators in mathematics education portray:
- increased control over access to and manipulation of information?
- abstract rationality as the most effective form of human thinking?
- individualism and entrepreneurship as constituting the most effective models for human commerce?
- What consideration is given to social, cultural, and historical antecedents of mathematical knowledge or statistical data?
- Is the human authorship of mathematical knowledge or data collection made evident or obscured?
- Is digital thinking privileged over metaphorical thinking?
- Is consideration given to historically and ethically informed decision-making?
- What are the effects of technology in reconstructing the division of labour in mathematics classroom or online tasks and for restructuring power relations between participants in educational contexts?
- How are individuals’ different experiences taken into account?
- Is there a suppression of difference when the experiences of some are normalised as the experiences of all?
- What are the effects of a possible restructuring of the hitherto stable boundaries between formal/informal education, teacher/student, classroom/home/work, print text/electronic text, etc?
- Have new learning technologies [NLTs] in mathematics education been seen as a panacea, where they are expected to solve many educational problems? [Scarce financial resources are channeled into the ever-extending purchase of these new technologies.]
- Have proponents of NLTs in mathematics education adopted the computer as tool perspective? [This approach places too much faith in people’s abilities, ignoring the possibilities of unintended consequences or the inherent limits of the means and purposes of using technology.]
- Have proponents of NLTs in mathematics education adopted the computer as non-neutral tool perspective? [Users should be reflective and critical about unexpected consequences.]
- Have proponents of NLTs in mathematics education adopted a level-headed approach? [which understands costs and benefits, tradeoffs, unintended consequences, and the limits of human rationality.]
- Have proponents of NLTs in mathematics education adopted a more dialectical perspective? [which understands how technological artefacts “reshape people’s perceptions of themselves as agents, their relations to one another, their perceptions of time and speed, their expectations of predictability, and so forth.”]
- Do proponents of NLTs in mathematics education understand that the calculus of costs and benefits as a way of evaluating change needs to take account of unintended consequences which cannot be anticipated and to acknowledge multiple, conflicting consequences which cannot be isolated from one another?
- Do proponents of NLTs in mathematics education understand that there is a “problem of a web of contingencies, caught up in complex relations of interdeterminacy; it is the obstinacy of circumstance, refusing to give people what they want without also giving them what they do not want”?
- In online learning communities, what attention is paid to the patterns of interaction with respect to degrees of freedom, task-orientation, equality, and intensity of relation among groups working together? [Adopting too homogeneous an understanding of the term community may exclude participants with different learning styles or appetites for affiliation.]
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