Introduction

Mathematics is essential for understanding the world, and for future teachers, a deep conceptual grasp of mathematical ideas is crucial. This book provides a foundation in geometry, measurement, probability, and statistics, focusing on both conceptual understanding and effective classroom instruction. This text should be paired with rich activities to get the reader doing mathematics, rather than just reading about it. We can only learn through actively constructing understanding though experience and practices.

The topics discussed in this text are as follows:

• Geometry develops spatial reasoning and an understanding of shapes, transformations, and properties.
• Measurement explores quantifying attributes like length, area, and volume, emphasizing real-world applications.
• Probability introduces reasoning about uncertainty, chance, and fairness through engaging activities.
• Statistics equips future teachers with tools for analyzing and interpreting data to support informed decision-making.

I hope this book prepares future educators to foster mathematical curiosity and confidence in their students.

A Note from the Instructor: My Commitment to Accessibility and Inclusive Learning

As the author and instructor of this course, I am deeply committed to creating an open and accessible learning space where every future teacher can engage meaningfully with mathematics. This text is designed with the belief that mathematics is for everyone—and that each learner brings valuable experiences, perspectives, and ways of thinking to the study of math.

In developing this OER, I have worked to remove barriers to learning by ensuring materials are freely available, clearly organized, and compatible with assistive technologies. I strive to use language that is inclusive, examples that reflect diverse learners and real-world contexts, and visuals that support multiple ways of understanding.

Accessibility is not a one-time task, but an ongoing process. If you encounter anything in this text that creates a barrier to your learning—whether visual, technical, or conceptual—please reach out. Your feedback helps make this resource stronger and more equitable for all future teachers and their future students.

Together, we can make mathematics education more open, inclusive, and empowering for everyone.

-Dr. Natalie Hobson