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Information and communication technologies in schools: a ...

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In solv<strong>in</strong>g algebraic equations, students can use graphs to verify their calculations<br />

<strong>and</strong> transformations of the formula. In models of atomic <strong>and</strong> molecular<br />

structures that simulate <strong>in</strong>dividual particles’ <strong>in</strong>teraction, students can track<br />

emerg<strong>in</strong>g phenomena such as temperature, pressure, states of matter, phase<br />

change, absorption, latent heats, osmosis, diffusion, heat flow, crystals, <strong>in</strong>clusions,<br />

<strong>and</strong> anneal<strong>in</strong>g; chemical phenomena such as exchange energy with bonds,<br />

chemical equilibrium, heat ga<strong>in</strong> <strong>and</strong> loss <strong>in</strong> reactions, explosions, stoichiometry,<br />

colour, spectra, florescence, <strong>and</strong> chemilum<strong>in</strong>escence, plasma, surface tension,<br />

solutions, hydrophilic <strong>and</strong> hydrophobic molecules, conformation, b<strong>in</strong>d<strong>in</strong>g specificity,<br />

<strong>and</strong> self-assembly.<br />

Work<strong>in</strong>g with microworlds can help a student to construct knowledge of<br />

real world subjects (physics, geometry, economics, environmental studies) as<br />

well as of abstract mathematics. The applications <strong>in</strong> secondary <strong>schools</strong> have been<br />

very successful, especially <strong>in</strong> geometry <strong>and</strong> physics. Geometer’s Sketchpad, for<br />

<strong>in</strong>stance, is a computer environment <strong>in</strong> which students do their own mathematical<br />

research, set up experiments, state hypotheses, <strong>and</strong> prove or refute them.<br />

This software has radically changed the perspective of how to treat a school subject<br />

that has rema<strong>in</strong>ed fundamentally unchanged for 2000 years. A similar product<br />

for teach<strong>in</strong>g physics is called Interactive Physics. There are algebraic manipulation<br />

packages of a similar k<strong>in</strong>d. Aimed at learn<strong>in</strong>g geometry <strong>and</strong> physics <strong>in</strong><br />

middle school, these programs are successfully used for preparatory purposes <strong>in</strong><br />

primary education as well.<br />

New software allows children to<br />

construct any comb<strong>in</strong>ation of simple<br />

mach<strong>in</strong>es, which helps <strong>in</strong> the development<br />

of reason<strong>in</strong>g skills, <strong>in</strong>clud<strong>in</strong>g spatial,<br />

causal <strong>and</strong> design th<strong>in</strong>k<strong>in</strong>g.<br />

Another important class of microworlds<br />

is tutor<strong>in</strong>g environments for typ<strong>in</strong>g,<br />

spell<strong>in</strong>g <strong>and</strong> foreign languages.<br />

Mathematics teach<strong>in</strong>g today is <strong>in</strong> a<br />

paradoxical situation <strong>in</strong> that every<br />

mathematical problem can be solved by a personal computer. Therefore, as <strong>in</strong><br />

other subjects, we are forced to reth<strong>in</strong>k how <strong>and</strong> why we teach the subject. At the<br />

same time, ICT are a boost to experimental mathematics, allow<strong>in</strong>g students to<br />

draw graphs of functions, <strong>and</strong> check relations <strong>in</strong> geometrical configurations <strong>in</strong><br />

which parameters as a po<strong>in</strong>t position can be changed by dragg<strong>in</strong>g a mouse.<br />

ICT <strong>in</strong> Learn<strong>in</strong>g <strong>and</strong> Teach<strong>in</strong>g<br />

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