To integrate technology into mathematics teaching and learning effectively, teachers could create a technology-based learning environment that provides students with opportunities to experience the process of mathematical investigation. These opportunities range from exploring using mathematical ideas to making and testing conjectures, as well as extending their conjectures to a general form, if possible. Additionally, the learning environment should support students in ways that encourage them to articulate not only what they know about the mathematical ideas in their exploration, but also how they arrive at their conjectures and how they generalise the ideas. This article offers a framework that encompasses the processes of exploring, conjecturing, verifying, and generalising to help mathematics teachers plan and design effective technology-based lessons to create an environment that engages students in meaningful learning in the mathematics classroom. An interactive spreadsheet template, based on a popular mathematics problem commonly found under the topic of calculus and involving finding the maximum area of a rectangular enclosure given a fixed perimeter, was designed to illustrate the framework. (Contains 5 figures.)