Thursday, January 8, 2009

Classpad 330 and Normal Distribution

Normal distribution problems can be done quite simply on the Classpad 330, but the method seems a little weird.. perhaps I haven't found a menu yet, or completed an update.. but here's how I did it for the following problem.
"A packet of mince contains 500g of mince. Suppose the actual weight (x) of
these packets is normally distributed with a mean of 512 grams and a standard
deviation of 8 grams. What is the probability of picking a packet between 504
and 520g?"
Firstly open the main window and add the list editor from the toolbar.

Opening the list editor should make the Calc menu appear in the menubar at the top of the window.

Select Calc->Distribution. This will make a popup appear with some options


The Type dropdown needs to say Distribution.

The second dropdown should say Normal CD. After that is selected tap Next. A new dialog box will appear.

For our problem the lower bound is 504, the upper bound is 520, the standard deviation is 8 and the mean is 512. Tap Next when this has been entered. The answer will appear with a probability of 0.683



Tap the graph icon in the toolbar to view the distribution.


Viola!
Here is a link to other CAS calculator posts.

Wednesday, December 31, 2008

Middle school & end of year reflection

After a year of trying to establish rapport with middle school I think the obvious is as follows:
Without teaching upper school classes and being involved with NCOS, middle school teachers have disconnected from upper school requirements through no fault of their own.

Added to the traditional "it's an issue at primary level - but we have five years to rectify it" we also now have "it's an issue with middle school, how can we possibly fix it in two years".

Students wrapped in cotton wool, unable to connect success with working hard find senior school difficult.

Assessment changes and alteration to pedagogical methodology in middle school has reduced the rigor required for TEE subjects especially in those with little discipline at home.

Without a detailed syllabus, critical topics can be deferred to later years causing irreparable damage.

Responsibility for subject performance should be left in the hands of those that understand the subject area.

Graduation should not be automatic. Pastoral needs of the individual should not be placed above the academic needs of the student and group as a whole.

Students can be entertained and placed with friends to stay in school but when once the demands of TEE level education arrives, it gives students too little time to adjust to the requirements of real study. The adjustment needs to occur in year nine - especially for the gifted kids.

General observations from 2008:
Streaming in mathematics is required where more than four levels exist across a cohort.

Intervention time is limited to less than 1 minute per student in homogeneous classes greater than thirty and puts teachers at risk with the current defer intervention actions BMIS discipline policy. Intervention time is greatly increased in a streamed class as peer assistance, direct instruction and modelled lessons become more effective.

Collaborative lessons can work when consequences for non-performance are correctly administered (peer pressure is a fantastic tool in this case).

The most reward comes from success with students with the least demonstrated ability.

Any student (without a learning difficulty) can learn any topic given an adequate amount of time (Kevin Casey).

Male students are not getting the results in mathematics in line with their ability levels.

It is possible to make a difference. Bring on 2009.

Intuitive Teachers

I wonder if there is a connection between those that deal with a lot of people and their ability to be intuitive towards their needs. As teachers we need to be able to "read" students as many times their articulated response may not reflect their needs.

I've found that since teaching it is easier to read what people mean compared to what they say. Is this a common finding? Do occupations that deal with a lot of people on an ongoing basis develop the same ability? Does frequency of interaction hone the ability further? Is this a trait we should be looking for in new teachers in the same way we look for bedside manner in doctors?

Monday, December 29, 2008

Making schools a part of the social system

Many attribute social behaviours to treatment within schools.

Children under the age of 18 are arbitrarily required to attend school or seek gainful employment. Yet many of the children in our justice system are no longer attending school or seeking gainful employment.

Similarly, many children in schools are not students, but young adults actively being impediments to the learning of other students. They have little or no interest in schooling and have no interest in seeking gainful employment.

If students have no interest in schooling or are not in gainful employment I suggest that we strip them of their rights as children and call them adults... any illegal activities get tried as adults, protections given to children are removed and sentences roll into the adult system as they turn age. After all not in school, not acting like a child, demanding adult responsibility and treatment - grant their wish.

Similarly if a child is not contributing in school, not valuing their education, being an impediment to the learning of others (with no feasible solution available to get the child performing as a student) .. whoosh - out they go either into an alternate programme off campus or into the real world as an adult and lose their privileges as a child.

With one proviso - any government payments for children are instantly stripped if they stop attending school and adult payments for these children are not available until they turn 21 if school is not finished (a very simple process that could be completely handled electronically). Exceptions would be handled on a case by case basis with very strict criteria after testing for learning disabilities and available environmental supports.

Whoa! I hear you say.. that's a bit radical... but nobody values what is given on a plate - only when there is a risk of loss is it valued. For schools to be a part of the social system, it needs to be recognised that schools cannot be held account for all social ills, they can though be a filter for recognising them and helping the borderline cases back into the mainstream. Stuffing extreme cases into an already taxed system and hoping all will be ok runs the risk of dragging many more real students down with it. Schools should be centres of learning filled with students and families that value education... not a young adult minding service.