Summary of the HKAME curriculum working group meetings on the new secondary maths CDC documents

Summary of the HKAME curriculum working group

meetings on the new secondary maths CDC documents


	


Overall intended change in the teaching practice : 
1. 	Introduction of new teaching ideas in the remarks cannot clearly 
reflect the overall intended change in the teaching practice. 
2. 	The CDC is expected to take up a more aggressive role in promoting 
these teaching ideas through various means, like the supply of 
appendices and exemplary teaching materials which would highlight 
the learning objectives; indicating specific areas for which training 
courses could be conducted, not necessarily by the CDC.

The role of IT (Information Technology) in the curriculum : 
1. 	The role of IT in the curriculum is also ambiguous.  
2. 	Would it be merely a supplement to the usual teaching practice, i.e., 
assisting learning or arousing interest for less able students, this is not 
preferred because the use if IT should not be merely this,
3. 	or a primary factor for shaping the new curriculum?  
4. 	If (3) is true, it may be necessary to design a temporary alternate 
curriculum which could fully reflect the incorporation of IT in the 
teaching of numbers, algebra, geometry and statistics, etc.

The algebra dimension:
1. 	Regarding the algebra dimension, apart from certain rearrangement, 
there is no significant change in the content.
2. 	The notions of polynomial and its terminology (2.2) need not be 
mentioned in S.1.  Terminology of polynomials could be introduced in 
S.3 together with concepts of factorization and identity. However 
basic operations (2.3-2.4) of algebraic expressions are necessary.  
Objectives can be developing basic operations of algebraic 
expressions as an extension of students' arithmetic knowledge and 
acquiring proficiency for simple equation works. Tedious 
manipulations of complicated expressions should be avoided.
3. 	In section 2 (polynomials as functions), the I-P-O concept should be 
highlighted, rather than using 'number producing machine' as an 
exemplar model. In fact, this concept could be developed through 
different models or representations, such as number producing 
machines, formulae and substitution (9.1 and 9.2), evaluation of 
algebraic expressions, and real life examples.


4. 	It is not clear why 'formulae' (section 9) should be introduced after 
'factorization'.  Is factorization a prerequisite technique for 'change of 
subject' (9.3)?

The data handling dimension : 
For the data handling dimension, there are several suggestions for the 
teaching of dispersion (section 3):
1. 	Without the concept of normal distribution, the introduction of 
standard deviation may not be necessary/meaningful.  Inter-quartile 
range and box-plots could already lead to the concept of dispersion.  
Perhaps, standard deviation could be an optional topic for more able 
students who would conduct their own surveys in S.4
2. 	If standard deviation is to be included, the formula could be supplied 
in the exam, thus discouraging learning by rote.
3. 	The role of mean deviation should be further clarified.  It may not be 
necessary even for the learning of standard deviation.
4. 	There is no need to specify application in 3.2 (introduction of 
standard deviation).  
5. 	There are also comments on the inclusion of students' projects and 
surveys:
5.1. There should be workshops for teachers to introduce evaluation 
standards on students' project work.  Examples from inter-school 
statistic project competitions could provide valuable resources.
5.2. 	Project can also be done and probably more welcome in 
secondary one and two. Through their own simple data 
collection process, lower form students could experience the 
nature of data set and experiment with different types of 
representations.  
5.3 	On the other hand, upper form students could concentrate on the 
interpretation and evaluation of statistical results, which may not 
be necessarily based on their own collected data.  S.4 project 
should be focused on this.

The number dimension :
1. 	Introduction of complex number is not necessary.
2. 	Attention should be paid to the term 'directed number'.  Alternatives 
can be 'Numbers and number line' with subhead, 'negative numbers'. 
Moreover number line may not be a good (or only or complete?) model for 
introducing  the operations involving negative numbers.  It helps little in 
explaining multiplication.

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