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Geometry corner work

a breaking-through in the classroom


How do we teach geometry?

Breaking-through the classroom!

What's corner work? We divide the class in different groups of four pupils and let each cluster perform his own activity.

Organizing each week corner work is a large task for an individual teacher.

By cooperation between different classes this working-method becomes more efficient. After all each teacher has his own specialities.

It's also more interesting for pupils because they find it more challenging to contribute to a sophisticated activity.

Strategy (for 4 teachers and 4 classes of the third grade)

We divide all children of the 4 classes in heterogeneous groups. Each group consists of 4 children (one pupil of each class). So we get 24 groups. Each teacher works during 7 activities (once a week) with 6 clusters in his own working room. (1 period exploring and 6 periods performing)

Finally the 6 groups work in turn in the 6 corners during 6 periods. After 7 weeks, each teacher takes care of 6 new clusters.


Mirror the building blocks

Build on both sides of a mirror (= a means to check) a construction that's the mirror image of the other. In turn there has to be placed a brick on each side of the mirror.

Mirror the building blocks

Colour code

Cover a grid according to a given code with stacked cubes. The colour determinates the number of bricks to be placed on each other. We work with a 3x3 or 5x5 grid, small or big format, with adapted wooden or plastic cubes.

Colour code

Puzzle

Reassemble a complicated geometrical figure devided into pieces.

By:

  • 1) covering the original figure (level 1);
  • 2) rebuilding the original figure which stays visible (level 2);
  • 3) rebuilding the original figure which is no longer visible (level 3).
  • Puzzle

    Tangram blocks - Tangram EGG - Tangram T

    Structure a set of figures (wooden blocks) so that you get a given figure which is drawn on a card where you can find the solution on the back.

    Structure a set of figures (of plasticized carton) so that you get a figure which has the shape of an egg (or other given figures).

    Structure 4 figures (of plasticized carton) so you get a figure which has the shape of the letter T.

    Tangram

    Computer 'Tangram'

    Structure a set of coloured pieces so that you get an entire figure.

    By

  • 1) covering this figure of which the individual pieces to be covered stay visible (level 1);
  • 2) covering this figure from which the individual pieces are no longer visible (level 2);
  • 3) rebuilding the model (which is visible, but not divided in seperate pieces) which can be found next to the own workspace on the screen (level 3);
  • 4) structuring the set of pieces in your own way so that you get a new entire figure which can be used as an exercise for other pupils (level 4).
  • Software: Tangroos (Windows 3.1, mouse, 82 Kb); shareware.

    Computer 'Tangram'

    'Locked up' construction

    Copy a construction. The original can be found in a transpararent box which shouldn't be opened.

    'Locked up' construction

    Mirror stacks

    Construct the mirror image of a stack of cubes to be build. The number of blocks to be put on each other is marked on a grid with a numerical code.

    Mirror stacks

    Solve the right patterns

    Form (or choose) the right pattern with geometrical pieces.

    Solve the right patterns

    From scheme to construction

    Starting with a schematic representation (scheme with view from above, view from the back, front view or profile) build a three-dimensional construction.

    From scheme to construction

    The right way

    Follow the right way in a grid (filled with drawings) in accordance with a given number of arrows (pointed to the left, to the right, up or down).

    The right way

    Coloured tangram

    Put together or structure surfaces so that you get new figures by means of 6 coloured polygons.

    Coloured tangram

    Computer 'Mosaic'

    Fill up surfaces or construct mirror images in a grid with coloured 'discs' with or without the help of a mirror that can be placed on the screen of the computer.

    The grid can take a different density, the discs a different size.

    Software: Mosaic (MS-DOS, mouse, 64 Kb); shareware.

    Computer 'Mosaic'

    Count stacks

    Build drawings of stacked cubes in reality and count the number of blocks.

    Count stacks

    Equal form

    Rebuild a construction similar in shape but with smaller bricks.

    Equal form

    Mosaic

    Put together patterns with coloured blocks according to a given task.

    Mosaic

    Cover tangrams

    Cover different surfaces in the right way with a number of parts.

    Cover tangrams

    Front view and profile

    Stack plastic cubes on a grid where digits mark the number of blocks (to be placed on each other) and draw the front view and profile of the construction.

    Front view and profile

    Computer 'Tetris'

    Fill surfaces with 'dropping' squares (or combinations of squares). The speed by which new blocks drop down or are put on the screen determinates the level.

    Software: Tetris (MS-DOS, mouse, 20 Kb); freeware.

    Software: Quantik (MS-DOS, mouse, 193 Kb); shareware; the figures can be moved, the size can be adjusted, the grid can made visible or invisible.

    Computer 'Tetris'

    Count geometrical figures

    Count the number of triangles in a geometrical figure by tracing the lines in different colours.

    Count geometrical figures

    Exploring space

    Trace and recognize the front view, profile or view from the back of objects or stacked blocks (by taking a picture) by moving oneself mentally or physically in the environment.

    Exploring space

    Coordinates

    Determinate the place and/or the way to be followed in a ground plan (grid) by means of coordinates and a description.

    Play the game 'sea battle'.

    Coordinates

    Structure

    Recognize complicated structures in the own natural environment or in a schematic representation.

    Structure

    Placing tiles

    Cover complicated patterns completely with simple equal tiles (flat figures). Check whether complete covering is possible.

    Placing tiles

    Computer 'Tiles'

    Create or complete other figures with various figures from which shape and colour can be chosen or construct mirror images of figures.

    A mirror can be used on the screen as a tool or as an aid to verify.

    Software: Tiles (MS-DOS, mouse, 39 Kb); shareware.

    Computer 'Tiles'

    Handheld computer 'Tetris'

    Complete surfaces with 'dropping' squares or combinations of squares. The speed by which these blocks drop down or the structure of these dropping figures determinate the level.

    Handheld computer 'Tetris'

    (Up!)