![]() Conceptual changes can be reflected in the models developed. Also, conceptual changes can be promoted by creating models. What is a model? Look at the following model about solar eclipse and lunar eclipse, and try to understand how solar/lunar eclipse occurs. You may go to the following web site to see an interactive model: http://highered.mheducation.com/olcweb/cgi/pluginpop.cgi?it=swf::640::480::/sites/dl/free/007299181x/220730/eclipse_interactive.swf::Eclipse%20Interactive Look at another Maths problem in the Primary school curriculum: Chu Beng and Andy had $110 altogether. Chu Beng had $1.80 more than Andy. How much did each child have? How to solve this problem? Students are often taught to solve such problems by drawing models: Model is a graphical, mathematical (symbolic), physical, or verbal representation or simplified version of a concept, phenomenon, relationship, structure, system, or an aspect of the real world. It can come in many shapes, sizes, and styles. But it is important to emphasize that a model is not the real world but merely a human construct to help better understand the real world system (http://serc.carleton.edu/introgeo/models/WhatIsAModel.html) Types of model Students can learn from existing (or finished) models created by others (e.g., by a subject expert) or from the process of creating a new model. Some types of models are (http://serc.carleton.edu/introgeo/models/WhatIsAModel.html) :
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2 Comments
R Vishunu
3/31/2018 11:44:11 am
A mathematical/statistical model can be understood as a set of symbols and numerical relationships that represents a current situation, a real problem or an object to be studied. Mathematical models can be expressed through tables, graphs or a structure of equations. The main advantage of maths modeling would be its capacity to engage students and encourage learning. Often in maths classes, certain lessons cannot be taught adequately just through the use of words. This approach of utilizing these types of instruction modes, in fact, helps students to systematize a variety of their thought process by the means of observing, retaining and replicating.
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Melissa S.
4/5/2018 07:15:27 pm
Models are an effective way of presenting visually and somewhat concretely abstract concepts to the learners. If given control over the models, learners get to formulate their understanding when they manipulate and "play" with them. This autonomy also allows learners to develop relations between the model and their current understanding and imagine possible real uses for the models in real life. However, it is important to remember that models present a reduced and simplistic view of the concept and it is definitely better for the learner to understand and utilise the concepts learnt using real life examples. Models thus act as good starting points for learning.
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