Understanding maths and numeracy
Mathematical Development
Conceptual Understanding
Numeracy Support Strategies
Assessment
100
100points: What is mathematics?
Answer: Essential mathematical skills and knowledge in Number and Algebra, Measurement and Geometry, and Statistics and Probability.
100
How do young children become mathematically aware?
Children learn the basics of maths through hands on experience. Through play and daily interactions, children are asked to problem solve, predict, apply reasoning, make comparisons, recall facts, count, match and sort.
100
This skill requires students to match object to object , count sets, and match the number in the set to the ordinal number.
Answer: One to one correspondence
100
100points: What is the role of the teaching assistant in relation to supporting numeracy?
Answer: pg 431 from text.
100
What is formative assessment?
Assessment that is ongoing and acquired as the learning is taking place. Also referred to as Assessment for learning.
200
200points: What is numeracy?
Answer: the ability to use maths in real life eg- skills like calculating time and distance, using spread sheets, or quantities required for cooking.
200
At what phase of learning, should a child be able to count backwards from 100?
Middle childhood
200
This is a higher order skill whereby children must identify for themselves the common attribute for a group of objects
Answer: Classification
200
Modelled, shared, and guided mathematics are the main strategies in school for supporting numeracy. Provide a brief definition of each of these.
Answer: pg 430
200
What is summative assessment?
Assessment of skills and knowledge at the end of the learning period. Also known as 'Assessment of Learning'.
300
Mathematics is a cognitive process that occurs over time. There are three features of this. What are they?
Answer: Factual knowledge. Procedural skills. Conceptual understanding.
300
How do children learn mathematical vocabulary?
Modelling and demonstrating concepts and matching this to language.
300
What is the term for the ability to arrange objects or events in a logical order based on graduated attribute? Provide 2 examples of activities you could use to teach this skill to 9-10 year old students.
Answer: Ordering. Examples will relate to temporal ordering (sequencing).
300
Using the natural mathematics model, how would you lead a student through his/her understanding of the following question: Peter had $30 and wanted to buy as many match box cars as he could. Match box cars cost $3.25. How many match box cars can Peter buy, and how much change should he expect?
Answer: pg 430-431
300
Provide two examples of formative assessment.
Observation, questioning, discussion, peer/self assessment, visual representations, individual white boards, think pair share, worksheets, quizzies and work samples.
400
Jack, aged 7, was playing with his hotwheels cars, grouping them according to their make. “I have 9 Chevrolet's, 6 fords, 2 Ferarri’s and 1 Porche. That’s 12 cars all together” he said. Describe the mathematical knowledge that Jack is using, and explain the numeracy skills that he displays.
Answer: Mathematical knowledge: quantity and ordering. Numeracy skills: matching and counting.
400
Which two areas of intelligence (according to Gardner) lean more towards mathematical comprehension? If a child possesses intelligence in a non-mathematical area how does Gardner suggest you support their learning?
Answer: Logio-Mathematical; Visual/Spatial Intelligence. Support learning by incorporating maths into the given area of intelligence.
400
What is the difference between ordinal numbers, cardinal numbers? Provide a definition and an example for each of these.
Answer: ordinal numbers relate to number positioning (first, last); cardinal numbers relate to number quantity and understanding that the final number, relates to the total number of objects.
400
The KISS strategy for supporting mathematical learning outlines a procedure to support students with additional needs in the area of maths. How would you support Jackson, from pg 432 of your text using this strategy? (1 minute reading time)
Answer: pg434
400
Provide 3 examples of summative assessment
Answer: National mandated assessments (NAPLAN); Benchmark tests, End of unit/subject tests, End of term/year tests or exams, project work, essays, formal assignments and exams.