Welcome to the Mathematics OER Smart Library! Our library offers a diverse range of materials—including videos, infographics, games, presentations, animations, and more—covering topics such as algebra, calculus, geometry, statistics, and probability. These resources are available in six languages: Estonian, German, Portuguese, Romanian, Catalan, and Spanish. Additionally, our library includes materials accessible to visually impaired and color-blind individuals. These resources are designed to support educators, students, and researchers in secondary, vocational, and higher education institutions.
Random OERs:
Total number of OERs published so far:
1424To explore and utilize these materials, navigate through our categorized sections or use the search function to find specific OERs of interest.
Pascal’s Triangle and its properties
Authors
Maria Paula da Silva Leite de Sousa Nunes
Educational level
Secondary School, Vocational School, Higher Education
Level
medium
Description
This PowerPoint presentation introduces students and teachers to Pascal’s Triangle, providing an engaging and sequential first contact with this fascinating mathematical structure. The material explores its construction, properties, and some applications, making it an excellent resource for both self-learning and classroom use. There is a step-by-step explanation of how Pascal’s Triangle is built, emphasizing its pattern and recursive nature and it uses dynamic visuals and animations to help learners discover patterns and relationships within the triangle. At the end it includes interactive practice problems with the option to reveal step-by-step solutions, allowing students to check their understanding. This PowerPoint tries to offer an accessible and enriching introduction to Pascal’s Triangle, helping students develop a deep appreciation for its beauty and applications in mathematics.
Licence
CC-BY-SA
Type
Other
Category
High-school fundamentals
Keywords
Pascal’s Triangle, Combinations, Properties
Tags
Pascal’s Triangle, Combinations, Properties
File
UIC-018-PRE-EN.pptx
A Practical Introduction to the Notion Definite Integral
Authors
Educational level
Secondary School, Higher Education
Level
medium
Description
This PowerPoint presentation is designed to introduce students and teachers to the concept of the definite integral, providing a structured and engaging first contact with this fundamental topic in calculus. The material covers essential definitions, properties, and applications, ensuring a clear and comprehensive understanding of the subject. Key Features: • Conceptual Introduction: Explains the motivation behind definite integrals, their relationship with areas under curves. • Properties and Theorems: Presents fundamental properties such as linearity, additivity, and the connection between definite and indefinite integrals through the First Fundamental Theorem of Calculus. • Interactive Exercises: Offers several practice problems, with the option to reveal step-by-step solutions to guide students through the problem-solving process. • Exploratory Questions: Encourages critical thinking through engaging examples that highlight different techniques for evaluating definite integrals. • Teacher-Friendly Design: Provides structured content that facilitates classroom discussions and supports educators in delivering an effective introduction to the topic. By using this interactive PowerPoint, learners will be confronted with the foundation in definite integrals, equipping them with the skills necessary for further studies in integral calculus. The interactive format ensures an engaging and adaptive learning experience, catering to different levels of understanding.
Licence
CC-BY-SA
Type
GIF/Animation
Category
High-school fundamentals
Keywords
Definite Integral, Area under a curve, Properties
Tags
Definite Integral, Area under a curve, Properties
File
UIC-012-PRE_EN.pptx
Normal Distribution
Authors
Educational level
Higher Education
Level
medium
Description
This is a Jupyter notebook (that can easily be opened in Google Colab) that can be used to visualize the normal distribution and how its parameters (mean and standard deviation) affect its shape. Section 2 is used to visualize Confidence Intervals, while section 3 is used to visualize risk. Just run all the cells from the Runtime menu to use the cells.
Link: https://colab.research.google.com/drive/1btwcyKH-BOFbl44jXYlOXM0dqIcpGvdA?usp=sharing
Licence
CC-BY-SA
Type
Scripts
Category
Statistics
Keywords
Jupyter notebook, statistics, normal distribution, confidence intervals, risk
Tags
Jupyter notebook, statistics, normal distribution, confidence intervals, risk
File
UIC-025-COD-EN.zip
Exponential Equations and Inequalities
Authors
Educational level
Secondary School, Vocational School, Higher Education
Level
medium
Description
The PowerPoint presentation focuses on Exponential Equations and Inequalities. It provides an overview of solving exponential equations, including step-by-step methods and worked-out examples. It also covers exponential inequalities, explaining their properties and solution techniques. Additionally, the presentation includes auxiliary calculations, universal conditions, and practical applications in mathematics.
Licence
CC-BY-SA
Type
Other
Category
High-school fundamentals
Keywords
Exponential Equations; Exponential Inequalitiess
Tags
Exponential Equations; Exponential Inequalitiess
File
UIC-007-PRE-EN.pptx
Matrices
Authors
Educational level
Higher Education
Level
easy
Description
PDF of Matrices
Licence
CC-BY
Type
Other
Category
High-school fundamentals
Keywords
Matrices
Tags
Matrices
File
UIC-008-PDF-EN.pdf
Derivatives Rules
Authors
Educational level
Secondary School, Vocational School, Higher Education
Level
medium
Description
The video is an instructional presentation on the derivative rules. The content likely includes mathematical formulations, step-by-step derivations, and examples to illustrate the application of the derivative rules in calculus.
Licence
CC-BY-SA
Type
Short Video
Category
High-school fundamentals
Keywords
Derivative rules
Tags
Derivative rules
File
UIC-001-VID-EN.mp4
