Question | Answer |
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 |