The investigations for prekindergarten and kindergarten contained in this book engage students in such activities as creating story problems about teddy bears, examining patterns of fire trucks and firefighters' hats and making glyphs to represent data about children in the class. Students apply mathematical ideas from the five main content areas. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations and they also guess, check and revise and verify their results.