Lecture 1 - Addition And Subtraction Flashcards
Definition of mathematics
A universal language using symbols about patterns and relationships.
What is numeracy
Mathematics in context
Mathematics is what teachers teach and students develop numeracy based on this
6 sub strands for number and algebra on Aus Curriculum
Number and place value Fractions and decimals Real numbers Money and financial mathematics Patterns and algebra Linear and non linear relationships
4 levels of mathematics language?
Children’s (student’s) language
Materials language
Symbolic language
What is a concept?
Skill?
Strategy?
A concept is a metacognitive understanding or the picture formed in your head about an object or word.
A skill is the ability to process the concept and obtain an accurate result (actually completing the sum).
A strategy is the way of processing information efficiently and effectively (the way you complete the sum).
What is addition?
Adding a part to another part to obtain a whole.
What are some ways of modelling addition/subtraction?
Mab’s
Number line
Bundling sticks (addition)
Teddy’s
Counters
Use of symbols
Tens chart
What are some addition strategies?
Count on for 1, 2 and 3
Use of doubles
Use of 10 (adding numbers 8&9)
What is subtraction?
Starting with a whole, taking a part away and getting a new answer.
What are the three different types of subtraction? And a number sentence for each?
Take away:
I had 5 lollies and I ate 2, how many do I have left?
Difference or comparison:
I have 5 lollies and you have 10 lollies. How many more lollies do you have than me?
Missing addend:
I have 3 lollies but I need 7 for all my friends. How many lollies do I need?
Strategies for subtraction?
Think addition
Use the three addition strategies in reverse
- count back for 0, 1, 2 and 3 (when taking those numbers off) eg. 8-2, 10-3, 114-1 etc.
Use halves
