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Lecture 1

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
What does thinking mathematically involve?   1) logical/systematic thinking 2)looking for patterns and relationships 3)reasoning  
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According to Piaget, what are the four stages humans progress through?   1)sensori-motor 2)iconic 3)concrete-symbolic 4)formal  
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According to Bruner, what are the three different types of knowing?   1)enactive 2)iconic 3)symbolic  
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What does enactive mean?   Manipulation of concrete materials  
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What does iconic mean?   Images in the mind's eye  
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What does symbolic mean?   Symbols such as words or mathematical symbols used to create ideas  
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What are the 4 stages of language?   1)children's language 2)materials language 3)maths language 4)symbolic language  
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What is children's language?   meaningful objects (eg. I have 7 lollies and gave 3 to my sister, how many lollies do I have now?  
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What is materials language?   substituted objects (eg. If we take 3 of these counters away from the 7, then we have 4 left)  
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What is maths language?   diagrams, graphs (eg. seven subtract 3 equals 4)  
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What is symbolic language?   symbols (eg. 7-3=4)  
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What does ELPSARA stand for?   Experiences, Language, Pictorial representation, Symbolic representation, Application of knowledge, Reflection, Assessment  
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What language would you use in teaching grid-reference systems?   Children's language = "in line with the door" Materials language = "in line with the 2nd mark on the edge of the map" Mathematics language = "line line with reference mark A and reference mark 2" Symbolic language = "A2"  
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What activities could you use to develop the concept of grid referencing?   Students make a map of the room; they hide a sticker in the room and show on the map the location; give directions to find the sticker  
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What are the three content strands of the NSW syllabus?   Number & Algebra, Measurement & Geometry, Statistics & Probability  
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What are the proficiency strands?   Understanding, problem solving, fluency, reasoning  
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Created by: finnyf
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