Problem-based or inquiry-based learning can be a huge leap from customary direct mathematics instruction. Students don’t know what to do, and teachers don’t know how much to let students struggle. Discovery activities can gently introduce students and teachers to coaching situations with similar characteristics as PBL. Here are some simple activities that easily slip in as replacements for direct instruction and whet our students’ appetites for problem-based learning without deviating from our curriculum. Click on “categories” in the list on the right. Try some then create some and submit for all to enjoy.