Spatial reasoning is the skill your child uses to fit a puzzle piece, follow a map, or rebuild a tower from a picture. In plain words, spatial reasoning means figuring out how we move through space, how objects and shapes sit and move in space, and how they relate to each other1. Below: the idea, the research on math, and games sorted by age.
Our math talk guide covers spatial words like above and behind. Here we cover the skill itself and how to train it.
Spatial reasoning meaning, in plain words
Ann Gadzikowski, who built pre-K coding courses at Northwestern University's Center for Talent Development, defines spatial skill as figuring out how we move through space and how objects or shapes are positioned and move in it. "Space" means any area at all: a tabletop, a room, a city, the world1. Her glossary calls it a category of thinking skills about how objects are positioned or move in three dimensions1.
Spatial reasoning skills allow us to read maps, diagrams, charts, and graphs1
So spatial thinking is not only for future architects. A third grader reading a bar graph uses it too.
Where something is, compared with something else1.
Say it: “Where is the red block, compared to the blue one?”Which way something moves: forward, back, to one side or the other1.
Say it: “Which way do we go to reach the door?”Turn a shape around without changing it.
Say it: “If we turn this piece, will it fit?”Put small shapes together to make a bigger one2.
Say it: “Can two triangles make a square?”A drawing of a place seen from above1.
Say it: “Where is your bed on our map?”Visual spatial reasoning skills, by type
Researchers test different pieces of the skill. Knowing them helps you spot them in play.
| Skill | What it means | Everyday example |
|---|---|---|
| Position and direction | Where things are and which way they move1 | Following "go past the couch, then left" |
| Copying a build | Rebuilding a structure or pattern from a model34 | Making a tower that matches a picture |
| Mental transformation | Moving or turning 2D shapes in your head5 | Seeing that a puzzle piece fits once it turns |
| Composing shapes | Making a big shape from smaller ones2 | Two triangles become a square |
| Scaling | Matching a small map or picture to a big real space6 | Finding the couch on a floor plan |
An example of spatial reasoning you can watch tonight
Hand your child a finished build of 4 or 5 blocks and an identical pile of loose blocks. Ask: "Can you make one just like mine?" Watch for the moment they turn a block to match yours, or check whether a piece goes on top or beside. That checking and turning is the skill in action.
This is close to how researchers measure the skill. In one study, 3-year-olds were asked to copy block structures4. In another, children aged 4 to 7 copied 2D designs using cubes, a task called Block Design3.
Copy my build
- 8 to 12 blocks or magnetic tiles in two matching sets
- A book to use as a screen
- You build 4 pieces behind the book, then lift it.
- Your child builds a copy. No touching your model.
- Compare together: "What is the same? What is different?"
- Swap roles: your child builds, you copy (and make one honest mistake for them to find).
- Level up: hide the model after 10 seconds and build from memory.
Why spatial thinking matters for math
Several studies link spatial skill and early math. Most show two things go together, not that one causes the other.
- Blocks and early math. In a study of more than a hundred 3-year-olds, children who were better at copying block structures were also better at early math4.
- Puzzles and turning shapes. Children observed playing with puzzles did better on a later task about mentally moving 2D shapes. Among puzzle players, more frequent play predicted better scores5.
- Play frequency. Children who played with puzzles, blocks and board games more than six times per week had higher Block Design scores than children who played less3.
- Training and math. Short lessons in mental rotation or scaling led to gains on some math tasks for 8-year-olds, including number line estimation and missing-number problems6.
Spatial skill is not fixed. It grows with practice.
That last point comes from a chapter on early math, citing Yackel and Wheatley2:
imagery and spatial abilities improve with practice2
The same chapter's milestone tables expect children to compose and decompose shapes from age 4, use direction, location and position words in kindergarten, and explore and solve spatial problems with manipulatives and drawings in grades 1 to 32.
Some kids are just born good at spatial stuff.
Spatial reasoning is only for engineering.
My 5-year-old should know left from right.
Most young children cannot identify right and left consistently until first or second grade1. Use "this side, that side" first.
Math STEM activities that train spatial thinking, by age
Gadzikowski lists the everyday routes: blocks, puzzles, board games, drawing, 3D art and moving your body indoors and out1. Below are the math and science activities we would pick for each age. All are screen-free STEM mathematics activities you can run with what you have.
Puzzle with spatial words
- A jigsaw puzzle a little harder than easy for your child
- Let your child lead. You only talk.
- Name shapes and edges: "This one has a straight side. Straight sides go on the edge."
- Name turns: "Try turning it. Does it fit now?"
- Name places: "It goes above the boat, next to the cloud."
Checkerboard treasure map
- A checkerboard or a grid drawn on paper or cardboard
- Small blocks and toy figures
- A pencil
- Adult supervision: keep small toys away from anyone who still mouths objects.
- Free play first: let your child move toys from square to square1.
- Hide a small toy under one block while your child looks away.
- Give directions: "Two squares forward, one to the side."
- Swap: your child hides and gives you the directions.
- Draw roads and landmarks on the paper grid, then use it as a map1.
Floor plan hunt
- Paper and pencil
- A small toy to hide
- Together, draw a simple map of one room seen from above: bed, door, window.
- Your child hides the toy and marks an X on the map.
- You find it using only the map.
- Swap roles. Then ask: "How many of your steps across the room? How long is that on our map?"
- "No, it goes over there."
- "Turn it left." (to a 5-year-old)
- Doing the hard piece for them
- "What happens if you turn it?"
- "Turn it to this side."1
- "Which edge looks like it matches?"
Frequently asked questions
What is spatial reasoning in simple terms?
It is figuring out how we and objects move and are positioned in space, and how things relate to each other in space1. It is the skill behind puzzles, building and reading maps, diagrams, charts and graphs1.
What is an example of spatial reasoning?
Copying a block tower from a model is a classic example; researchers use block copying to measure the skill in young children34. Turning a puzzle piece in your head before it fits is another5.
Can spatial ability be improved?
Yes. Spatial abilities improve with practice2. In one study, short spatial lessons improved 8-year-olds' spatial scores and some math scores, though the math gains were small and tested right after training6.
Is spatial recognition the same as spatial reasoning?
They overlap, but they are not the same. Our reading of the sources: recognizing a shape, or seeing that a piece matches, is the starting point, while spatial reasoning also covers moving, turning and combining shapes and finding your way through space15. Neither source defines spatial recognition as a separate skill.
What are good math and science activities for preschoolers that build spatial skills?
Blocks, puzzles and board games are the classic three; children who played them often scored higher on a spatial test3. Drawing, 3D art and moving the body indoors and out help too1.
Keep exploring
- Math talk while you build The exact spatial words to use during play.
- Building blocks and magnetic tiles ideas More builds to copy, stack and compare.
- Screen-free coding Grid and direction games that double as spatial practice.
If you want a kit for this
Any blocks or puzzle you own work for everything above. If you want a set made for building and copying shapes, our Magnetic Travel Tiles click flat shapes into 3D builds and come with cars.
Build it with / Ages 5-7Magnetic Travel Tiles with CarsFlat shapes that stand up into roads and garages.$39.99GoP Toys sells the kit mentioned above. None of the sources cited tested our products.