These various ways to explore content can be used to build both lessons aligned with specific learning goals and student curiosity as they browse during unstructured time. In addition to starting points, you also saw an example of a Demonstration and an interactive plot quiz. A snapshot of the menu to browse mathematics starting points is shown here: You can also use a variety of starting points to help guide explorations. As you saw, students and teachers can easily create interactive graphics with a single line of natural language input. Interactive activities can be built in a variety of ways. Using the natural language inputs they have already interacted with, you can help students structure further queries to see if they can invent and visualize a linear system that has no solutions. It also gives them a strong hint as to why a linear system will never have exactly two solutions. For example, the previous visualization shows how a system might have one or infinitely many solutions.
You can ask your students to define a function, say f( x) = x 2:Īs an instructor, you can help students use the results of computation to lead them into the next “why” question. By actively forming connections from experience, they gain a greater intuition for the concept. However, with Wolfram|Alpha Notebook Edition, students can examine patterns and then make predictions based on their experiences.
Tangent lines (and their connection to derivatives) are a fundamental concept in calculus and one that students often have difficulty understanding by staring at a formula. Sample Activities for a Calculus Course Exploring Tangent Lines Whether you’re an educator or a student, Wolfram|Alpha Notebook Edition makes it easy to take an active role in the learning process. Combine text, graphics, natural language computations, interactive visualizations and more in a single place. Wolfram|Alpha Notebook Edition combines the natural language processing of Wolfram|Alpha with the flexible format of Wolfram Notebooks. In this post, you will see example activities demonstrating how Wolfram|Alpha Notebook Edition can support active learning methods in your classroom. Student participation in the classroom typically leads to deeper knowledge, more developed critical thinking skills and increased motivation to continue learning. Active learning describes instructional methods that engage students in the learning process. As you may know from your own experience (or perhaps from the literature on education), passively receiving information does not lead to new knowledge in the same way that active participation in inquiry leads to new knowledge.
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