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Lecture 1

What does thinking mathematically involve? 1) logical/systematic thinking 2)looking for patterns and relationships 3)reasoning
According to Piaget, what are the four stages humans progress through? 1)sensori-motor 2)iconic 3)concrete-symbolic 4)formal
According to Bruner, what are the three different types of knowing? 1)enactive 2)iconic 3)symbolic
What does enactive mean? Manipulation of concrete materials
What does iconic mean? Images in the mind's eye
What does symbolic mean? Symbols such as words or mathematical symbols used to create ideas
What are the 4 stages of language? 1)children's language 2)materials language 3)maths language 4)symbolic language
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?
What is materials language? substituted objects (eg. If we take 3 of these counters away from the 7, then we have 4 left)
What is maths language? diagrams, graphs (eg. seven subtract 3 equals 4)
What is symbolic language? symbols (eg. 7-3=4)
What does ELPSARA stand for? Experiences, Language, Pictorial representation, Symbolic representation, Application of knowledge, Reflection, Assessment
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"
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
What are the three content strands of the NSW syllabus? Number & Algebra, Measurement & Geometry, Statistics & Probability
What are the proficiency strands? Understanding, problem solving, fluency, reasoning
Created by: finnyf