Chapter I – Understanding spatial and size relationships

Understanding spatial and size relationships is one of the key mathematical competencies developed at the early childhood and early primary education stages. For preschool and early school age children, precisely identifying the position of an object is a significant challenge due to the ongoing development of the lateralization process. Supporting this process during this period is extremely important, as it influences not only the development of mathematical competencies but also the acquisition of reading and writing skills. A child who can identify directions, the position of objects in space, and their size gains foundations not only for learning geometry but also for solving everyday problems—from moving around the environment, through organizing space, to planning actions in time and space.

These skills are closely linked to the development of logical thinking, spatial orientation, and geometric imagination. Their development also supports speech development through the use of terms such as: above, below, next to, between, farther, higher, lower, longer, shorter, etc. Correct understanding of these concepts forms the basis for learning more advanced mathematical and technical topics at later stages of education.

Working with Korbo blocks in this area proves to be exceptionally effective. Thanks to physical, three-dimensional elements such as platforms, cylinders, and gear wheels, children can independently construct, test, compare, and modify their structures. Through action, manipulation of objects, and observation of the effects of their placement and mutual relationships, students intuitively develop an understanding of space and measurement. Korbo blocks allow not only building and experimenting but also observing the relationship between movement (for example, the rotation of gears) and changes in spatial arrangement.

Korbo activities make it possible to differentiate difficulty levels, adapt tasks to individual student needs, and introduce elements of coding and action planning. As a result, learning becomes not only effective but also engaging and closely connected to children’s experiences.

The construction activities proposed in this chapter integrate movement, thinking, imagination, and cooperation. We will practice distinguishing the right and left sides. We will arrange constructions according to size. We will improve fine motor skills, and through group work we will practice communication skills.

After completing the tasks in this chapter, the student:

  • Identifies the position of elements in space using terms such as: above, below, next to, between, in front of, behind, on the left, on the right.

  • Distinguishes and uses directional and locational terms (e.g. to the right, to the left, up, down) when building structures based on verbal or visual instructions.

  • Compares the length, height, and width of elements and constructions built with Korbo blocks.

  • Estimates the size of objects and the distances between them, using terms such as: shorter, longer, the same, higher, lower, wider, narrower.

  • Builds spatial constructions based on teacher instructions, a plan, or their own design.

  • Recreates and creates spatial arrangements using different types of Korbo elements: gear wheels, cylinders, and platforms.

  • Analyzes and describes spatial relationships between elements of a construction—for example, what is located between two gears, what is higher or farther away.

  • Designs spatially complex routes, mazes, and construction systems, planning the direction and sequence of movements.

  • Performs simple measurements (e.g. the length of a construction) and records or compares results.

  • Cooperates within a team, communicating precisely when building shared models.

Activity 1: “Up – Down – Center”

Objective: Recognizing the position of objects in space: on, under, next to, in the middle, above.

Required elements: platforms, gear wheels, cylinders.

Procedure:

Children build a structure on a platform consisting of three levels. On the lowest level, on the platform, they place a cylinder. On top of it, in the middle, they place a gear wheel, and at the very top they place a second gear wheel. Next, they describe the positions of the elements in relation to one another.

Variations:

  • Changing positions and using terms such as: “on the left,” “on the right,” “behind,” “in front of.”

  • Building a structure based on a partner’s instructions (e.g. “Place the cylinder under the gear wheel”).

Activity 2: “Gear Wheel Tower”

Objective: Comparing height and developing the concepts: higher, lower, at the same height.

Required elements: gear wheels, cylinders, platforms.

Procedure:

Children build 2–3 towers, each made of five freely chosen elements (e.g. one made only of gear wheels, another of cylinders, and another combining gears and cylinders). They then compare the heights of the towers and arrange them from the shortest to the tallest.

Variations:

  • Adding height measurement (e.g. using a ruler or by counting elements).

  • A task with constraints: “Build a tower higher than 10 cm but lower than 15 cm” (not necessarily using five elements).

Activity 3: “Korbo Obstacle Course”

Objective: Developing spatial orientation using the concepts: next to, between, behind, in front of.

Required elements: various Korbo elements (platforms, cylinders, gear wheels), a small figurine (or any small object).

Procedure:

Children arrange a “course” from Korbo elements on a platform, along which a figurine “walks.” Students describe the route using spatial terms such as: “walked past the cylinder,” “stepped onto the platform,” “turned behind the gear wheel.”

Variations:

  • A child builds the course based on the teacher’s verbal instructions.

  • Working in pairs: one child builds the route according to their partner’s instructions, and the other walks through it while describing how they move. Then the partner walks the same route but must describe it in a different way (e.g. child 1 says “I walked on the left side of the gear wheel,” while the other says “I didn’t walk on the right, but on the other side…”).

Activity 4: “Gear Treasure Map”

Objective: Planning in space and developing directional concepts.

Required elements: a large platform (e.g. 9 platforms per pair arranged in a 3×3 square), gear wheels, cylinders as obstacles, a “treasure” symbol (e.g. a block in a different color or a small card).

Procedure:

On the platform, children place the “treasure” and obstacles. The second child must reach the treasure by following directions, placing gear wheels next to each other so that they rotate and mark the route (e.g. “move two spaces to the right, then up, go around the cylinder on the left side”).

Variations:

  • Before placing the treasure and the starting point, children can draw a “map” on paper.

  • Changing the positions of elements during the game.

Prepare a small card with the treasure symbol.

Activity 5: “Who Goes Farther?”

Objective: Comparing lengths and distances.

Required elements: gear wheels, cylinders, a measuring tape or ruler.

Procedure:

Children build “arms” on the floor using the same number of elements. Each block in an arm can be arranged in the same or in a different way. Then they compare which “arm” reaches farther—they can measure with a ruler or measuring tape, or count the elements.

They develop the concepts: longer, shorter, the same.

Variations:

  • Children plan on their own how to make the arm longer. They can also be asked to create an arm of a specific length.

  • Adding a limit to the number of blocks so that children must think about how to arrange them.

Activity 6: “Korbo Bridge”

Objective: Developing the concepts of width, length, and height.

Required elements: platforms, cylinders as pillars, gear wheels as the bridge surface.

Procedure:

Children design and build a bridge between two points (e.g. between two platforms). They then determine its dimensions: length, height above the ground, and width.

Variations:

  • Extending the activity: the bridge must support a chosen object (children can consider adding an additional pillar).

  • The bridge must be wider than X cm but shorter than Y cm.

Prepare example designs of several bridges.

Activity 7: “Directional Puzzle”

Objective: Reinforcing the concepts: to the right, to the left, up, down.

Required elements: a grid board (e.g. 4×4), gear wheels, cylinders.

Procedure:

The teacher builds a 4×4 mat (using 4 platforms) and places it facing the seated children. The teacher asks the children to raise their right hand up, then asks them to raise their left hand up, correcting any mistakes if needed.

Next, the teacher places a red gear wheel in the top left corner of the mat and explains that the red gear wheel is located on the left side of the mat at the top. Then, the teacher places a blue gear wheel in the bottom right corner of the mat and explains that it is located at the bottom of the mat on the right side.

The teacher asks one student to place a yellow gear wheel at the bottom left side of the mat, and another student to place a purple gear wheel at the top right side of the mat.

After explaining the activity, each student builds their own mat.

The teacher then gives instructions such as: “Place the red gear wheel in the top row, in the second position from the left, then place a cylinder one space further to the right of the wheel…” etc. The children recreate the layout.

Variations:

  • Students create tasks and instructions for one another.

  • Adding multiple construction levels (e.g. place a yellow cylinder on top of the red gear wheel).

Activity 8: “Cylinder in a Maze” – class activity

Objective: Moving in space, directions, and planning movement.

Required elements: platforms, cylinders or gear wheels as obstacles, one cylinder as a “token.”

Procedure:

Children build a large platform, for example from 25 platforms (5×5), and together create a simple maze on it using cylinders or gears as walls. Then they move one cylinder step by step (or another “token”), describing at the same time in which direction the “token” is moving.

Variations:

  • Rebuilding the maze each turn.

Activity 9: “Platform Comparisons”

Objective: Comparing sizes (length, width, height) of different constructions.

Required elements: platforms, cylinders, gear wheels.

Procedure:

Children work in pairs to build different constructions on platforms. They then compare them according to several criteria: which one is taller, which one is longer, and which one is wider at a specific level (e.g. at a height of 10 cm).

Variations:

  • Building a construction according to a plan (e.g. using a maximum of 10 elements).

  • Task: build a construction taller than X cm but narrower than Y cm.

Task 10: “Where Should I Place It?”

Educational objective: Practicing reading and listening comprehension.

Materials: Korbo blocks, printed instructions.

Procedure:

The teacher divides the children into pairs. Each pair receives a Korbo set and builds a 4×4 mat (a square made of four platforms). Each child in the pair receives two printed instructions, which they read aloud for the other child to follow. It is important that the children sit next to each other, on the same side of the mat. The children carry out the instructions one by one, following the given order:

  • Place the yellow gear wheel at the top left.

  • Place the red gear wheel to the right of the yellow gear wheel.

  • Place the blue gear wheel below the red gear wheel.

  • Place the purple gear wheel to the left of the blue gear wheel.

Variation:

The child who reads the instructions sits with their back to the builder. Only after the task is completed do they check whether the arrangement of the gear wheels on the mat matches the instructions.

Task 11: “My Left, Your Right.”

Educational objective: Practicing lateralization and understanding the relativity of concepts.

Materials: Korbo blocks.

Procedure:

The teacher asks the children to stand facing them and point to the classroom wall on their left side. Then the teacher asks them to point to the wall on their right side, correcting any mistakes if necessary. Next, the teacher asks the children to turn their backs to them and point to the wall on their left side, and then to the wall on their right side. The teacher asks the children to return to their seats and asks why, even though the position of the walls did not change, different terms were used to describe them depending on how they were standing.

The teacher explains, demonstrating on themselves, that “my left / my right” does not always mean the same direction but depends on our position in relation to another person or an object.

To better illustrate the concept, the teacher can hold a blue gear wheel in their right hand and a red gear wheel in their left hand, making sure the children can always see the gears in their hands. The teacher says that they are holding the blue gear wheel in their right hand and the red gear wheel in their left hand. While alternately turning to face toward and away from the students, the teacher points out their left and right sides.

Task 12: “Cylinders Between Gears.”

Educational objective: Practicing lateralization and following verbal instructions.

Materials: Korbo blocks.

Procedure:

The teacher divides the children into pairs. Each pair receives a Korbo set and builds two 4×2 mats (two platforms connected to form a rectangle). The children sit facing each other, and each child arranges gear wheels and cylinders on their own mat as follows:

  • Place the purple gear wheel in the top right corner.

  • Place the blue gear wheel below the purple gear wheel.

  • Place the red gear wheel to the left of the purple gear wheel.

  • Place the yellow gear wheel in the bottom left corner.

  • Place the purple cylinder to the right of the yellow gear wheel.

  • Place the yellow cylinder to the left of the red gear wheel.

  • Place the red cylinder in the top left corner.

The children compare their mats while sitting opposite each other, then sit next to each other with their mats and check whether the task was completed correctly.

Task 13: “Tall, Taller, Tallest.”

Educational objective: Comparing and ordering by size.

Materials: Korbo blocks.

Procedure:

The teacher builds a 4×2 mat and four towers:

  • From six blue gear wheels.

  • From eight yellow gear wheels.

  • From four purple gear wheels.

  • From two red gear wheels.

Next, the teacher asks one student to arrange the towers on the mat from the tallest to the shortest, so that the tallest tower is placed on the far left side of the mat and the shortest on the far right side.

The teacher then rebuilds the towers so that:

  • The first tower consists of three yellow, one red, two blue, and two purple gear wheels.

  • The second tower consists of four yellow, one purple, and one blue gear wheel.

  • The third tower consists of one yellow and one purple gear wheel.

  • The fourth tower consists of three blue and one red gear wheel.

Next, the teacher asks the student to arrange the towers on the mat so that the tower with the greatest number of yellow gear wheels is placed on the far left side of the mat, followed by towers with progressively fewer yellow gear wheels. The tower with no yellow gear wheels should be placed at the end.

Variation:

The teacher divides the students into teams of 4–5. Each team receives 60 gear wheels and is asked to build four towers of different sizes and arrange them on platforms from the largest to the smallest.