4 New Mathematical Research Books Defining 2025

What started as a gathering of leading minds in mathematical optimization and operations research became a rich compilation edited by Anton Eremeev, whose extensive experience in this domain shapes the book’s depth. You’ll explore 30 rigorously reviewed papers covering mathematical programming, combinatorial optimization, game theory, and operations research, each presenting the latest theories, methodologies, and applications. For example, the section on game theory offers new frameworks to model strategic interactions, while mathematical programming chapters dive into cutting-edge optimization algorithms. This book suits researchers and practitioners aiming to stay current with evolving techniques rather than casual learners.

When Paul Christian Dawkins, Amy J. Hackenberg, and Anderson Norton explored Piaget’s genetic epistemology, they recognized a crucial gap: how to make its complex concepts accessible for mathematics education researchers. This book offers a thoughtful reorientation on how mathematical knowledge is understood, focusing on constructs like schemes, operations, and reflective abstraction. For example, it details how figurative and operative thought influence learning processes, supported by research examples. If you’re a graduate student or scholar aiming to deepen your grasp of theoretical frameworks in math education, this text provides rigorous insights without oversimplifying, though it demands serious engagement rather than quick answers.

This tailored book explores the latest breakthroughs in optimization research as of 2025, crafted to match your specific background and research focus. It delves into cutting-edge developments in mathematical optimization, examining novel algorithms and emerging techniques that are shaping the field. By concentrating on your interests and goals, the book offers a personalized pathway through recent discoveries, allowing you to stay current without wading through broad, generalized texts. The content covers foundational concepts as well as advanced topics, fostering a deep understanding of optimization challenges relevant to your work. By tailoring this content, the book helps you engage intimately with new methods and research trends, making it easier to incorporate fresh insights directly into your projects and studies.

The research was clear: traditional one-size-fits-all approaches to math education weren't addressing the diverse needs of students. Roza Leikin's work dives into how mathematical challenge is not a luxury but a necessity at every level and age, emphasizing how tailoring these challenges to individual potential aligns closely with equity in education. You’ll explore a blend of theoretical insights and evidence-based analyses about curriculum design, task variation, and the cognitive and social dimensions of challenging math activities. If you’re involved in math education or research, this book offers a rich framework to rethink how challenge can foster deeper mathematical understanding for all learners.

After analyzing extensive classroom research, Elizabeth T. Hulbert and her coauthors crafted this second edition to bridge the gap between mathematics education research and classroom practice specifically in multiplication and division. You’ll gain insights into students’ thought processes through annotated samples of student work and vignettes that mirror real teaching experiences. The book introduces the OGAP Multiplicative Reasoning Framework and learning progressions, helping you interpret evidence of student thinking and tailor instruction accordingly. Intended primarily for K-6 math teachers, it also supports those preparing to teach with practical connections to Common Core standards and instructional materials.