articulating your thinking to students

8/10/2019 Articulating Your Thinking to Students

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Articulating Your Thinking

Dr. Mok, Y.F.


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Novice & Expert Thinking Patterns

Novice ExpertRead

Analyze

Explore

Plan

Implement

Verify

Schoenfeld, 1987


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Thinking

is

usually

invisible & silent.


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Automaticity

Certain thinking practised so extensively

automaticity

executed

with little or no

conscious awareness


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Knowledge Categories

Tacit set of categories of knowledge is for

thinking about the world

But there is littleawareness of categorization

And tacit knowledge is difficult to teach.


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Difficulties in Teaching

Steps fused together

Cannot capture tacit categories


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Teachers Thinking

In sum, teachers thinking:

is usually invisible & silent

is executed with little or no conscious awareness

(this is called automaticity which is due to extensive practice

over the years & certain thinking has become automatic)

is characterized by his own tacit categories of knowledge

which are formulated for his own thinking & hence difficult tocapture or be taught

steps are fused together


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Learning from Teachers Thinking

Teachers ways of thinkingare valuable to students.

Particularly for solving problemsin the subject

domain.

One way of articulating your thinking is toverbalizeit.


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Thoughts

the stream of consciousness

put into words as they occur


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Verbalization

Having to say it

forces you

to figure out

exactly what your thinking process is.


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Articulate Your Thinking

It is better to verbalize your thinking(not the solutionmethod) while you problem-solve. Show and tellstudents how you:

find out traps& blockages & means for resolvingthem

make assumptionsabout unknowninformation

integratelarge amounts of information

consider & reject alternativesthat are wrong but tempting


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Articulate Your Thinking

how you formulatespecific solution paths

how you use your own heuristics

rules that

guide searchbut do not guarantee a result


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e.g.

Experienced doctors:

distinguishbetween relevant & non-

relevant data

screen unnecessary datathat can be

confusing, unhelpful or sometimesdangerous


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http://www.lessonplanspage.com/MathNum

ReasoningProbSolvingThinkAlouds69.htm
http://www.lessonplanspage.com/MathNumReasoningProbSolvingThinkAlouds69.htmhttp://www.lessonplanspage.com/MathNumReasoningProbSolvingThinkAlouds69.htmhttp://www.lessonplanspage.com/MathNumReasoningProbSolvingThinkAlouds69.htmhttp://www.lessonplanspage.com/MathNumReasoningProbSolvingThinkAlouds69.htm

articulating your thinking to students

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