Understanding acceleration: An interplay between different mathematics and physics representations

Acceleration is often viewed as abstract - but when a person accelerates, e.g. in a car or on swings, trampolines, carousels or rollercoasters, the force required for the acceleration is felt throughout the body. If acceleration is introduced as force divided by mass rather than as a second derivative of displacement, the concept can be made accessible to much younger learners, such as 10-year olds taking part in supervised visits to an amusement park or playground. The force required for acceleration can be measured e.g. using smartphone sensors. The forces can also be illustrated in demonstrations that complement photos and video analysis. For a teacher this creates opportunities to discuss challenging concepts of force and motion, in enjoyable authentic situations.