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This mathematics ClipArt gallery offers 40 illustrations of tools that are used in math: abacuses, steel squares, charts, number operation wheels, etc.

A Chinese abacus used to calculate numbers.

Chinese Abacus

A Chinese abacus used to calculate numbers.

"A tray strewn with dust or sand, used in ancient times for calculating. A contrivance for calculating, consisting of beads or balls strung on wires or rods set in a frame."—Wright, 1902

Abacus

"A tray strewn with dust or sand, used in ancient times for calculating. A contrivance for calculating,…

"Abacus is a Latin term applied to an apparatus used by the Chinese for facilitating arithmetical operations, consisting of a number of parallel cords or wires, upon which balls or beads are strung, the uppermost wire being appropriated to units, the next to tens, &c.-In classic architecture it denotes the tablet forming the upper member of a column, and supporting the entablature. In Gothic architecture the upper member of a column from which the arch springs."—(Charles Leonard-Stuart, 1911)

Abacus

"Abacus is a Latin term applied to an apparatus used by the Chinese for facilitating arithmetical operations,…

An instrument for performing arithmetical calculations by means of sliding balls or counters.

Abacus

An instrument for performing arithmetical calculations by means of sliding balls or counters.

Two Chinese men use the abacus to calculate for their business. "The abacus was one of the earliest aids to calculation." -Hill, 1921

Chinese Abacus

Two Chinese men use the abacus to calculate for their business. "The abacus was one of the earliest…

An illustration of a balance scale.

Balance Scale

An illustration of a balance scale.

An aluminum set of disks that correctly finds the time needed to develop photos in solution

Watkins's Factorial Calculator

An aluminum set of disks that correctly finds the time needed to develop photos in solution

A caliper used for measuring the diameter of a circle.

Caliper

A caliper used for measuring the diameter of a circle.

A chondrometer is a measuring tool used for weighing seed.

Chondrometer

A chondrometer is a measuring tool used for weighing seed.

This chart of comparisons can be used with the following questions: "Which line is twice B? Which two added make H? Which line is the difference between F and D? Call A 5; name the others. Call A 6, and name the others." -Foster, 1921

Comparisons Chart

This chart of comparisons can be used with the following questions: "Which line is twice B? Which two…

This diagram represents a student's thinking and progress in math. The image on the left is concrete thinking, counting each dot. The right is symbolic thinking, a digit represents the number of dots.

Concrete to Symbol

This diagram represents a student's thinking and progress in math. The image on the left is concrete…

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle, or straight edge when doing geometric constructions.

Positioning Pen for Constructions

Illustration showing the correct and incorrect position of a right line pen against a T-square, triangle,…

An illustration of calculating the density of a liquid.

Density

An illustration of calculating the density of a liquid.

Hairspring dividers are for creating bisectors of circles. They are similar to a compass, but with two points and no pencil.

Dividers

Hairspring dividers are for creating bisectors of circles. They are similar to a compass, but with two…

A small electric meter that measures electricity in units called kilowatts-hour. The first meter is in the thousands place and points to 3, the hundreds place points to 6, and the tens place points to 8. The meter reads 3,680 killowatts-hour.

Electric Meter

A small electric meter that measures electricity in units called kilowatts-hour. The first meter is…

A function machine template with room to enter the function, input, and output.

Function Machine

A function machine template with room to enter the function, input, and output.

A gas meter that measures feet of gas used. The first meter is in the thousands place and points just passed 5, the hundreds place points passed 4, and the tens place points passed 6. The gas meter reads 5,460 feet of gas used.

Gas Meter

A gas meter that measures feet of gas used. The first meter is in the thousands place and points just…

"Goniometer. An instrument for measuring solid angles, or the inclination of planes, particularly the angles formed by the faces of crystals." -Whitney, 1911

Hand Goniometer

"Goniometer. An instrument for measuring solid angles, or the inclination of planes, particularly the…

"Goniometer. An instrument for measuring solid angles, or the inclination of planes, particularly the angles formed by the faces of crystals." -Whitney, 1911

Reflection Goniometer

"Goniometer. An instrument for measuring solid angles, or the inclination of planes, particularly the…

Hundred weight or hundredweight is a unit of measurement for mass in U.S. customary units and was historically used in the Imperial system in the United Kingdom and the British Commonwealth.

Hundredweight

Hundred weight or hundredweight is a unit of measurement for mass in U.S. customary units and was historically…

"Curves other than arcs of circles are drawn with the pencil or ruling pen by means of curved or irregular-shaped rulers, called irregular curves. A series of points is first determined through which the curved line is to pass. The line is then drawn through these points by using such parts of the irregular curve as will pass through several of the points at once, the curve being shifted from time to time as required." — Hallock, 1905

Irregular Curves

"Curves other than arcs of circles are drawn with the pencil or ruling pen by means of curved or irregular-shaped…

The circle of multiples can be used as a practice game in class. The outside ring are multiples and the inner ring are factors. n represents the other factor. The teacher points to a set of numbers and students replace n with the other factor. For instance, if 72 is chosen, 8 is the factor, and n would be 9.

Multiples

The circle of multiples can be used as a practice game in class. The outside ring are multiples and…

Addition, subtraction, and multiplication wheels students use to spin and find the solutions.

Number Wheels

Addition, subtraction, and multiplication wheels students use to spin and find the solutions.

An instrument for making a reduced, enlarged, or exact copy of a plane figure

Pantograph

An instrument for making a reduced, enlarged, or exact copy of a plane figure

An Amsler Polar Planimeter instrument used to measure the area of an arbitrary shape. The planimeter traces the shape of the graph with respect to the origin. The wheel at the hinge shows the measurement of the area.

Amsler Polar Planimeter to Find Area of Indicator Diagram

An Amsler Polar Planimeter instrument used to measure the area of an arbitrary shape. The planimeter…

Special rods used for multiplication, division, and extracting square roots.

Napier's Rods

Special rods used for multiplication, division, and extracting square roots.

This set of numbers is used by a teacher to help the students practice adding numbers in columns. After they have mastered two numbers, the chart can be pulled down to show columns of three numbers to add and so on.

Roller Chart

This set of numbers is used by a teacher to help the students practice adding numbers in columns. After…

The slide rule, also known colloquially as a slip stick, which is a mechanical analog computer. The slide rule is used primarily for multiplication and division, and also for scientific functions such as roots, logarithms and trigonometry, but is not normally used for addition or subtraction. Slide rules come in a diverse range of styles and generally appear in a linear or circular form with a standardized set of markings essential to performing mathematical computations. Slide rules manufactured for specialized fields such as aviation or finance typically feature additional scales that aid in calculations common to that field.

Marker for Slide Rules

The slide rule, also known colloquially as a slip stick, which is a mechanical analog computer. The…

The sector is a hinged rule with scales used for various mathematical calculations.

Sector

The sector is a hinged rule with scales used for various mathematical calculations.

"Sextant. An important instrument of navigation and surveying, for measuring the angular distance of two stars or other objects, or the altitude of a star above the horizon..." a, handle; b, c, mirrors; d, ring; e, telescope; f, arm; g, reading-lens; h, arc; i, screw; j, tangent screw. -Whitney, 1911

Sextant

"Sextant. An important instrument of navigation and surveying, for measuring the angular distance of…

Illustration comparing the fundamental units of measure 1 square yard and 1 square meter.

Comparison Of Units Of Square Measure

Illustration comparing the fundamental units of measure 1 square yard and 1 square meter.

Illustration of steel square.

Steel Square

Illustration of steel square.

Illustration of steel square with hypotenuse drawn.

Steel Square

Illustration of steel square with hypotenuse drawn.

Illustration of steel square with bevel/slant.

Steel Square

Illustration of steel square with bevel/slant.

This chart can be used for practice in subtraction. The teacher points to the outside numbers and the student subtracts that by six and recites the answer.

Subtraction Chart

This chart can be used for practice in subtraction. The teacher points to the outside numbers and the…

This chart can be used for practice in subtraction. The teacher points to the outside numbers and the student subtracts that by six and recites the answer.

Subtraction Chart

This chart can be used for practice in subtraction. The teacher points to the outside numbers and the…

This table wheel would be used to practice the six tables. The teacher would rapidly point to the surrounding numbers and the students would enter. This can be done for addition or multiplication tables.

Table Wheel

This table wheel would be used to practice the six tables. The teacher would rapidly point to the surrounding…

A tally chart is a method of recording data using stroke marks.

Chart Tally

A tally chart is a method of recording data using stroke marks.

Troy weight is a system of units of mass customarily used for precious metals, black powder, and gemstones.

Troy Weight

Troy weight is a system of units of mass customarily used for precious metals, black powder, and gemstones.

Illustration comparing the fundamental units of measure ounces to grams and pounds to kilograms.

Comparison of Units of Weight

Illustration comparing the fundamental units of measure ounces to grams and pounds to kilograms.