Revolutionize Your Mathematics Teaching with Möbius

Introduction

In the domain of STEM education, mathematics stands out for its unique challenges. While maintaining high educational standards within traditional classroom settings is achievable, extending this quality to online and remote learning environments can be challenging. This whitepaper examines how instructors can effectively maintain the excellence of mathematics education outside traditional classrooms through the use of automated grading systems, advanced visualization techniques, and opportunities for unlimited practice.

Current approach towards maths teaching…

Outside the traditional classroom, educators employ various methods to support student learning. These include providing question banks for practice and assigning assessments that primarily feature multiple-choice, list-based, and true/false questions to gauge student’s understanding. For topics requiring visualization, teachers often rely on educational YouTube videos and images to help students comprehend abstract concepts.

Challenges with the current approach

The current methods for supporting student learning outside traditional classrooms present several challenges:

1. Increased Teacher Effort: Teachers must invest additional time and effort to create separate question banks for student practice. This extra workload is necessary to provide meaningful practice opportunities but can be burdensome.
2. Limited Assessment Capabilities: Existing Learning Management Systems (LMSs) often offer only basic response formats such as multiple-choice questions, lists, and true/false questions. These formats do not effectively measure a student’s deep understanding, as students can sometimes guess the correct answers without demonstrating true comprehension.
3. Inadequate Visualization for Complex Topics: Teachers currently rely on sharing videos and images to help students visualize complex topics. However, this approach can be insufficient for understanding complex mathematical concepts, as it often lacks interactive and hands-on experiences that are crucial for grasping abstract ideas.

Try Möbius: The Ultimate Solution for Mathematics Instruction

Möbius is an advanced e-learning tool, specially designed for STEM based courses. The platform is currently utilized by over 400+ institutions worldwide, including the University of Waterloo, Imperial College London, and Osaka University.

The above challenges can be easily overcome through Möbius:

1. Use Möbius randomized questions: On Möbius, instructors can effortlessly generate randomized practice questions for their students. This allows students to repeatedly practice similar types of questions as needed. Additionally, there is no need for teachers to build a separate question bank, the platform automatically generates questions of the same type based on a single question created by the instructor.
2. Grade mathematical expressions easily: Möbius offers 16 advanced response areas specifically tailored for STEM courses, all of which are graded automatically. The platform is powered by a sophisticated mathematical engine (Maple) that comprehends mathematics as intuitively as a human. This allows instructors to accurately evaluate a student’s grasp of concepts based on their responses. Additionally, the automatic grading of all response areas eliminates the need for teachers to manually grade each student’s work, saving valuable time.

For example: Suppose the question is write the derivative of sin2(x). Now, the answer could be 2sin(x)cos(x) or sin(2x). So, if a student enters any one of them he/she will be automatically graded correctly by the platform.

3. Enhance visualization: Möbius excels in illustrating complex mathematical concepts. 

• It allows for the integration of external applications, such as GeoGebra, directly within the content, offering students an interactive learning experience.
• The platform offers a specialized response area for visualizing mathematical functions, where students can enter a function to automatically generate its graph. Additionally, teachers can pose questions such as “create the graph of the given function,” and students can use the built-in templates to generate their graphs. Responses to these questions are also automatically graded by the platform.
• Additionally, instructors can enrich the content by incorporating videos, GIFs, and images to further support student comprehension.