Showing posts with label Math Teachers at Play carnival. Show all posts
Showing posts with label Math Teachers at Play carnival. Show all posts

Saturday, 5 May 2012

Geometry: 2D and 3D

We have been "playing" with 2D shapes on paper through our regular maths programme at home, learning to draw them with technical tools such as the 30-60 triangle and T-square.


What makes these geometry lessons interesting is that the programme goes a few steps further by asking the student to do one or more of the following:
1) identify the different shapes that are "hidden" in the main constructed shape;
2) cut and fold it into another shape; and
3) cut the main shape into smaller shapes to create other shapes.



Once every few weeks we take a day out of our regular math lessons to practise a related concept using another source of maths.  This is to get Tiger used to applying the maths concepts he has learned from our regular lessons to other types of maths problems.  The latest maths games we have played with are:
1) Hidden Polygons - an introduction to the different properties of polygons

2) Butterfly - a game that is similar to the Chinese Checkers


3) Lines of Symmetry - where some shapes can be a little tricky to think of how many symmetrical lines are possible.


Besides doing regular maths at home, we also participate in external lectures and masterclasses whenever they become available.  One of these has been an investigative class on Platonic Solids.




With the notes generously provided by the institution, one can easily teach the concept at home.  However, we have found much benefit in attending the class with other (older) homeschooled children in terms of:
1) learning how to work effectively as a team with other children;
2) making friends and contacts for future projects;
3) sharing resources and ideas;
4) learning from the strengths of other children and parents.

Although we tend to do most of our learning by ourselves at home, we are always keen to embrace opportunities to work with and learn from other homeschoolers.  It has been especially beneficial for Tiger to realise that other children can be just as quick as, if not quicker than, he is in mathematics.  It is not easy to learn about humility in isolation. 


This post is linked up to several blog hops, where you can see what other homeschoolers have been busy with.  It is also linked to the Math Teachers at Play blog carnival #50.

Tuesday, 17 January 2012

More tangrams

Since we have had such fun with tangrams previously, we continued working with working with forming numbers with the seven pieces.

We started with Tiger forming various numbers as best as he could, without referring to the 'answers' provided in the lesson plan.

Five
Ten
Two
Zero
Four
After Tiger had formed the numbers in his own way, we looked at the 'answers' to compare Tiger's numbers with the suggested answers.  I do not know whether there is a right way or wrong way to form the numbers using tangrams -- I assume that there isn't only one right answer -- so I only refer to the ones given in the lesson plan as suggestions rather than the only way to solve the puzzle.

Looking at the answers was helpful in giving Tiger ideas on how to use the pieces in different ways to form the same numbers.


Compared to his approach, the answers given focused on forming the numbers in a more enclosed manner.  Tiger then formed the numbers again, this time following the examples given.

One
Zero

Two
Four

This post is linked up to several blog hops, where you can visit to see what other homeschoolers have been busy with.  It is also linked up to Math Teachers at Play blog carnival #48.

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