To open opportunities for students’ math reasoning, change the questions. Instead of What iS? Ask What iF? The questions look similar. Yet they imply very different responses. What iS? “Give an answer” What iF? “Consider the possibilities” Too often, students experience math as a pursuit of “What iS?” rather than an exploration of “What iF?“… Continue reading From What iS? to What iF?
Students have many opportunities to use different types of representations to show the same relationship between variables (e.g., graphs, tables, equations). Students also benefit from opportunities to use different forms of the same type of representation (two different looking graphs) to show the same relationship between variables. Wonder how that can be? Check out this… Continue reading The Same Situation. Two Different Graphs.