A problem sequence is presented developing the basic properties of the set of natural numbers (including associativity and commutativity of addition and multiplication, among others) from the Peano axioms, with the last portion using von Neumann's construction to provide a model satisfying these axioms. This sequence is appropriate for…

Science teaching and learning require knowledge about how learning takes place (cognition) and how learners interact with their surroundings (affective and sociocultural factors). The study reported on focussed on learning for understanding of Newton's second law of motion from a cognitive perspective that takes social factors into account. A…

This study reports on targeted science courses for undergraduate childhood education majors. We describe an inquiry-oriented, three-course sequence spanning physical, life, and environmental science. All three courses are hands-on and are designed to reflect the content and pedagogy most important to future elementary school teachers.