New Maths Study Design Questions

[Conic]

Wow, Spesh 1/2 looks so much better than what I did in GMA back in the day. A lot of this stuff isn't usually done until first year discrete math.

Study design stuff

Logic and algebra
• the concepts of proposition, truth value, tautology, set and set operations
• the concepts of validity, argument and proof
• boolean operators, and axioms of boolean algebra
• gates and circuit diagrams.

Principles of counting
• the concept of one-to-one correspondence of sets and its application to consideration of countability
• the pigeon-hole principle as a problem-solving technique
• techniques of counting such as permutations and combinations and the inclusion–exclusion principle
• identities involving Pascal’s triangle.

Number systems and recursion
• the representation of natural, integer, rational and irrational real numbers in various structures and contexts including arithmetic and geometric sequences and series
• the concepts of identity, inverse, conjugate and limit
• operations on number, order properties, and algorithms for computation in a variety of contexts
• the representation of complex numbers and the conventions for arithmetic of complex numbers in cartesian form.

Graph theory
• the notation, definition and representation of graphs 
• the types of graphs and their properties
• applications of graph theory and constructions and graphs
• elementary theorems including Euler’s formula.

[keltingmeith]

Wow, Spesh 1/2 looks so much better than what I did in GMA back in the day. A lot of this stuff isn't usually done until first year discrete math.

Study design stuff

Logic and algebra
• the concepts of proposition, truth value, tautology, set and set operations
• the concepts of validity, argument and proof
• boolean operators, and axioms of boolean algebra
• gates and circuit diagrams.

Principles of counting
• the concept of one-to-one correspondence of sets and its application to consideration of countability
• the pigeon-hole principle as a problem-solving technique
• techniques of counting such as permutations and combinations and the inclusion–exclusion principle
• identities involving Pascal’s triangle.

Number systems and recursion
• the representation of natural, integer, rational and irrational real numbers in various structures and contexts including arithmetic and geometric sequences and series
• the concepts of identity, inverse, conjugate and limit
• operations on number, order properties, and algorithms for computation in a variety of contexts
• the representation of complex numbers and the conventions for arithmetic of complex numbers in cartesian form.

Graph theory
• the notation, definition and representation of graphs 
• the types of graphs and their properties
• applications of graph theory and constructions and graphs
• elementary theorems including Euler’s formula.

Yeah - I think they just wanted to put more discrete stuff into it (especially since all of 3/4 maths, minus one module in further, is all continuous) and weren't sure where to put it. Since there wasn't a 1/2 specialist before, they did that... I reckon a lot of schools won't do it, though - instead trying to opt more to 1/2 GMA so they can "get a good grounding" for the specialist kids.

[keltingmeith]

Yes - they are finalised, and the new study designs can be seen in the url in the first post.