Precalculus and Discrete Mathematics (University of Chicago School Mathematics Project)
University of Chicago School Mathematics Project Series
on Goodreads (2)
What’s inside...
The 'Precalculus and Discrete Mathematics' textbook by the University of Chicago School Mathematics Project, published by Scott Foresman Addison Wesley, is designed to prepare high school students for calculus and introduce them to discrete mathematics. It covers advanced functions, trigonometry, sequences, series, complex numbers, combinatorics, probability, statistics, graph theory, and mathematical logic. Emphasizing problem-solving and analytical thinking, the book provides a comprehensive foundation in both continuous and discrete mathematics, aiming to bridge the gap between high school and university-level math. The textbook is a hardcover integrated mathematics student edition.
Series reading
Non-Sequential
Age
9-12
Length
914 pages
Text complexity
Discussion points
Can you explain how a particular problem in the book showed the real-life application of precalculus or discrete mathematics?
Which concept in the book did you find most challenging, and what strategy would you use to tackle it?
How do you think understanding these mathematical concepts might help you in everyday life or future careers?
What are some differences and similarities you noticed between discrete mathematics and the mathematics you've learned before?
Tip: Role play these questions
Before starting a discussion, skim through relevant sections of the book to familiarize yourself with key concepts and terminology.
Use real-world examples to ground abstract mathematical concepts, making them more relatable and easier to grasp.
Encourage your child to explain their thinking process as they solve a problem from the book, which promotes critical thinking and problem-solving skills.
Celebrate efforts and progress in understanding complex topics, no matter how small, to boost confidence and encourage persistence.
Key lessons
Example Lesson: Problem-Solving Skills
Explanation: This book equips children with strategies to tackle complex mathematical problems, encouraging systematic thinking and analysis.
Real-World Application: Children learn to approach challenges methodically, whether solving math homework, tackling puzzles, or making decisions.
Example Lesson: Logical Reasoning
Explanation: Through discrete mathematics, children develop an understanding of logical statements and proof techniques, fostering critical thinking skills.
Real-World Application: This skill helps children reason their way through everyday situations, discerning between right and wrong, or understanding cause and effect.
Example Lesson: Attention to Detail
Explanation: Solving precalculus problems requires a keen eye for detail, as minor errors can lead to incorrect solutions.
Real-World Application: Enhances their ability to focus and be meticulous in tasks like following instructions, completing school projects, or even organizing their rooms.
Example Lesson: Perseverance
Explanation: The challenge of mathematics, particularly at this level, teaches children to persevere through difficult tasks, reinforcing the value of effort over innate ability.
Real-World Application: Children learn to persist and not easily give up in the face of academic, sports, or personal challenges.
Example Lesson: Mathematical Communication
Explanation: The curriculum encourages clear and precise mathematical communication, which is crucial for expressing complex ideas effectively.
Real-World Application: This fosters better communication skills, aiding them in explaining their thoughts and ideas clearly in school assignments or social interactions.