Best Channels for Visual Math Learning
The Challenge of Comprehending Complex Concepts
It’s a common experience to struggle with note-taking in fast-paced classes, particularly in subjects like mathematics.
Often, the speed of instruction prevents full comprehension, leading to confusion when reviewing notes later.
While textbooks offer a resource, a more immediate clarification of specific points can be invaluable.
The Need for Instant Support
Even with access to tutoring, a persistent need exists for readily available assistance that can address questions as they arise.
The ability to instantly revisit explanations and examples is crucial for solidifying understanding.
Personal Experience and Resource Discovery
Recently, this challenge became particularly apparent during a multi-variable calculus course.
Despite attending tutoring sessions and office hours, a gap remained between observing solutions and independently applying them.
Understanding what a tutor or professor demonstrated didn’t always translate into the ability to successfully complete similar problems.
Consequently, a search for resources that provide concise, on-demand information proved incredibly beneficial.
These resources offer the necessary snippets of information and are consistently accessible for review and reinforcement.
Their constant availability allows for repeated consultation, fostering a deeper grasp of the material.
PatrickJMT ("Just Math Tutorials")'s YouTube Channel
Patrick, the creator of this extensive math video library, possesses a Master's degree in mathematics. He has produced over 900 videos covering a wide spectrum of mathematical subjects, from pre-Calculus through Algebra and Calculus.
PatrickJMT’s videos are characterized by comprehensive explanations of complex concepts. These explanations are delivered using only a simple marker and paper.
Instead of overwhelming viewers with technical terminology, he articulates the necessary steps for problem-solving in easily understandable language, presented in a calm and reassuring manner.
A Straightforward Approach
His teaching style is remarkably concise and direct. Typically, he begins by defining a topic, then reinforces understanding through numerous examples.
He meticulously guides viewers through each stage of the solution process, clarifying the reasoning behind each simplification and omitted step.
While some videos approach a length of 10 minutes, this duration remains significantly shorter than the typical 50-60 minute lecture often encountered in a classroom setting.
Illustrative Example: Understanding Limits
Consider this video, which provides a foundational explanation of the concept of limits.
Consistency and Depth of Content
The idea of documenting the process of solving mathematical problems is exceptionally effective. However, the true benefit of such resources hinges on the tutor’s ability to provide clear guidance and consistent support.
Patrick excels in this regard, meticulously working through complete problems for each topic without omitting crucial steps or making unsupported jumps in logic.
Furthermore, he maintains a regular posting schedule, a practice he has sustained since 2008.
His official website features curated playlists for all major areas of study, including Algebra, Trigonometry, Calculus, and Statistics.
To add an element of enjoyment, he also shares intriguing mathematical puzzles for viewers to tackle.
The Monty Hall Problem
Here is his most recent puzzle, focusing on the classic Monty Hall problem.
MathTV's YouTube Channel: A Detailed Overview
In contrast to the video style of PatrickJMT, where instruction is solely auditory during problem-solving, MathTV presents videos featuring a notably articulate, affable, and patient instructor. This professor guides viewers through mathematical concepts and a diverse range of problems.
The pedagogical approach is fundamentally similar: concepts are explained using accessible language, followed by the application of these concepts through solved examples. Beyond the instructor’s skill in delivering lucid explanations, the channel uniquely incorporates motivational content and study strategies.
These supplementary videos are designed to bolster students’ resolve when encountering challenging mathematical problems or experiencing self-doubt regarding their abilities.
Consider this advice from Mr. McKeague, the instructor, regarding effective study habits.
Furthermore, Mr. McKeague demonstrates his expertise in another online mathematics video, elucidating the principles of limits.
Despite a year since its last update, the associated website remains active, offering curated playlists and links to online textbooks for those seeking premium content options.
The YouTube channel itself boasts a library of over 50 freely available videos, covering a spectrum of topics from high school to college-level mathematics.
Key Features and Benefits
- Clear Explanations: Concepts are presented in an easily understandable manner.
- Motivational Content: Videos encourage perseverance and build confidence.
- Extensive Library: A wide range of topics are covered, from high school to college level.
- Accessible Resources: Over 50 free videos are readily available.
In conclusion, both MathTV and resources like PatrickJMT are valuable assets for students enrolled in college-level mathematics courses, particularly those involving multi-variable Calculus. They can be especially helpful when a clear, jargon-free explanation of the underlying goals is desired.
For further assistance with problem-solving, exploring web-based tools such as Mathway is recommended.
Do you prefer the structure of traditional tutoring, or are you receptive to multimedia learning resources? Share your thoughts in the comments below.
Image Credit: d3 Dan
